graph the function y=-2/x
Answers
Function of Y=-2/X
Related Questions
find two integers whose product is 136 such that one of the integers is seven less than three times the other integer
Answers
The two integers whose product is 136 are 17 and 8.
Let x be one of the integers. Then, the other integer is 3x - 7. The product of the two integers is given by:
x * (3x - 7) = 136
Expanding and solving for x, we get:
x^2 - 7x + 136 = 0
Using the quadratic formula, we can find the two solutions for x:
x = (-(-7) ± √([tex](-7)^2[/tex] - 4 * 1 * 136)) / (2 * 1)
x = (7 ± √(49 + 544)) / 2
x = (7 ± √593) / 2
Since x must be an integer, we round down the decimal to the nearest integer to get:
x = 8 or x = 9
Since x represents one of the integers, the other integer is 3x - 7, so:
3x - 7 = 3 * 8 - 7 = 17
Therefore, the two integers are 8 and 17, and their product is 136.
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RO
ROCK
each
Shirts on sale at concert!
uppose David has $65 to spend on his ticket and some shirts. He already
Dent $32.25 on his ticket and fee. Write an inequality that could be used
o find the maximum number of shirts he can buy.
hat is the maximum number of shirts he can buy?
He can buy a maximum of 2 shirts.
Answers
Answer: Let x be the number of shirts that David buys.
The cost of the shirts can be represented by the equation: $15x.
The total amount of money that David has spent can be represented by the equation: $32.25 + $15x.
Since David has a total of $65 to spend, we can write the inequality:
$32.25 + $15x ≤ $65
Solving for x, we get:
$15x ≤ $65 - $32.25 = $32.75
$15x ≤ $32.75
$x ≤ $32.75 / $15 = 2.183333
Since David can only buy a whole number of shirts, the maximum number of shirts that he can buy is 2.
So, the maximum number of shirts David can buy is 2.
Step-by-step explanation:
a drink costs 2 dollars. a taco costs 3 dollars. write a statement that assigns totalcost with the total meal cost given the number of drinks and tacos. ex: 4 drinks and 6 tacos yields totalcost of 26.
Answers
The equation or statement assigning total meal cost is total meal cost = cost of one taco × number of taco + cost of one drink × number of drink.
The word expression representing the complete transaction will be as follows -
The left hand side will have total cost and the right hand side will individual cost of each item. The individual cost of each item will further be states as -
Taco = The product of cost of one taco and number of tacos
Similarly, drinks = the product of cost of one drink and number of drinks
Forming the combined equation now -
total meal cost = cost of one taco × number of taco + cost of one drink × number of drink
Representing it according to example in Equation -
26 = 4 × 2 + 3 × 6
26 = 8 + 18
26 = 26
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Which shows the solution of the combined inequality?
−1≤2−j<−5
Responses
Number line ranging from negative six to zero with a line beginning with an open point at negative five and ending with a closed point at negative one
Image with alt text: Number line ranging from negative six to zero with a line beginning with an open point at negative five and ending with a closed point at negative one
Number line ranging from negative six to zero with a line beginning with a closed point at negative five and ending with an open point at negative one
Image with alt text: Number line ranging from negative six to zero with a line beginning with a closed point at negative five and ending with an open point at negative one
Number line ranging from zero to six with a line beginning with a closed point at one and ending with an open point at five
Image with alt text: Number line ranging from zero to six with a line beginning with a closed point at one and ending with an open point at five
no solution
Answers
The correct option regarding the solution of the compound inequality is given as follows:
No solution.
How to solve the inequality?The inequality for this problem is defined as follows:
−1≤2−j<−5
Hence the first condition is of:
j - 2 ≤ 1
j ≤ 3.
The second condition is of:
2−j<−5
j < -7
j > 7.
We have an and operation, meaning that the two conditions must be satisfied simultaneously.
A number cannot be simultaneously less or equal to 3 and greater than 7, hence the compound inequality has no solution.
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Jara wants to select a negative integer that is closer to zero than -3 on the number line. How many possible choices does she have?
Answers
Jara wants to choose a negative integer closest to zero. The closest negative integer to zero is -1, which is closer to zero than -3. So, Jara has only one possible choice, which is -1.
Jara needs to choose a negative whole number that is nearer to zero than - 3 on the number line. To find the response, we want to decide the nearest regrettable whole number to nothing. On the number line, the nearest bad whole number to zero is - 1. This intends that - 1 is nearer to zero than some other negative number, including - 3.
Since Jara needs to choose a negative whole number that is nearer to zero than - 3, her main conceivable decision is - 1. It is vital to take note of that zero isn't viewed as a negative whole number, and the whole numbers on the number line are either sure or negative, not both.
Taking everything into account, Jara has just a single conceivable decision, which is - 1. This implies that the response to the inquiry is 1. It is likewise vital to recall that while choosing a number more like zero, we should pick the number that is nearest to nothing and in addition to any number that is nearer to zero than another number.
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Cedric also put 18 rocket stickers and 24 airplane stickers in equal groups. whay is the greatest number of groups Cedric could have made? How many of each type of sticker did he put in the group. please show work!
Answers
To find the greatest number of equal groups Cedric could have made, we need to find the greatest common factor (GCF) of 18 and 24.
The prime factorization of 18 is 2 × 3².
The prime factorization of 24 is 2³ × 3.
To find the GCF, we need to take the product of all the common factors and the lowest exponent of each factor that is common to both numbers. In this case, the common factor is 2 and the lowest exponent is 1.
GCF(18, 24) = 2¹ = 2
So Cedric could have made up to 2 equal groups of stickers.
To find how many of each type of sticker he put in each group, we can divide the number of stickers by the number of groups.
For the rocket stickers, Cedric put 18 stickers in 2 groups, so he put 9 rocket stickers in each group.
For the airplane stickers, Cedric put 24 stickers in 2 groups, so he put 12 airplane stickers in each group.
Therefore, Cedric put 9 rocket stickers and 12 airplane stickers in each of the 2 groups he made.
A rectangular lawn is 15 yards by 31 yards. It would cost $7.00 per yard to install a fence around the lawn. How much would it cost to put a fence around the lawn?
Answers
Answer:
$644
Explanation:
if the lawn is 15 yards wide and 31 yards tall, you need to figure out the perimeter. 15+15+31+31=92, so the perimeter of the yard is 92 yards. If it costs $7 per yard, then all you need to do from there is multiply 92 by 7, getting you 644. So it would cost $644 to install a fence around the lawn.
WILL GIVE BRAINELIST
Answers
Answer:
Step-by-step explanation:
Distribute.
8x + 32
pt2. is A.
HELP ITS EASY IM JUST LAZY ill give brainly If you add Natalie's age and Fred's age, the result is 39. If you add Fred's age to 4 times Natalie's age, the result is 84 . Write and solve a system of equations to find how old Fred and Natalie are.
Answers
Answer:
Natalie is 15 and Fred is 24.
Step-by-step explanation:
Let n = Natalie's age
Let f = Fred's age
n + f = 39
4n + f = 84 ⇒ multiply by -1 ⇒ -4n -f = -84
-4n - f = -84
n + f = 39
-3n = -45 Divide both sides by -3
n = 15
Natalie is 15.
Substitute 15 for n to solve for Fred's age:
n + f = 39
15 + f = 39 Subtract 15 from both sides
f = 24
Fred is 24.
Find the perimeter and area of triangle ABC with altitude BD, given A(-5, 2) B(-3, 5), C(5, 2), and D (-3, 2).
Answers
Answer:
The perimeter of triangle ABC with altitude BD can be found by using the Distance Formula. The coordinates of the vertices are A(-5, 2), B(-3, 5), C(5, 2), and D(-3, 2). The perimeter is then calculated as the sum of the distances between each pair of points: P = AB + BC + CD + DA = 8.24 units. The area can be found using Heron's Formula, which gives an area of 6.00 units.
Step-by-step explanation:
The perimeter of triangle ABC with altitude BD can be found by using the Distance Formula. The coordinates of the vertices are A(-5, 2), B(-3, 5), C(5, 2), and D(-3, 2). Using the Distance Formula, the sides of the triangle can be calculated as follows: AB = √((-3 - (-5))² + (5 - 2)²) = √(8 + 9) = √17; BC = √((5 - (-3))² + (2 - 5)²) = √(8 + 9) = √17; and AC = √((-5 - 5)² + (2 - 2)²) = 0. Therefore, the perimeter of triangle ABC is AB + BC + AC = 17√2 units.
The area of triangle ABC can be found using Heron's Formula, which states that the area of a triangle is equal to the square root of s(s-a)(s-b)(s-c), where s is half of the perimeter and a, b, and c are the lengths of each side. In this case, s is half of 17√2 or 8.5√2 units. Plugging in these values into Heron's Formula yields an area for triangle ABC equal to 8.5√2 * 4 * 3 * 1.5√2 or 36√2 units squared.
Answer:
12 units
Step-by-step explanation:
AB^2 = [(-5) - (-2)]^2 + [(-2) - (-2)]^2 = 9
AB = 3
So similarly, BC = 5 and AC = 4
Hence, the perimeter = AB + BC + AC = 12 units
When the FOB destination is used, the seller reports the cost of delivery on the
a.balance sheet as an expense.
b.balance sheet as an asset.
c.income statement as an expense.
d.income statement as a revenue.
Answers
The seller reports the cost of delivery on the balance sheet as an asset.
What is FOB?FOB stands for "Free on board." It serves as a declaration that the risk and ownership of the items have been passed from the seller to the buyer. This implies that the vendor is not responsible if the items are damaged or destroyed during shipping.
Given:
Inventory of finished goods is shown as a current asset on the balance sheet.
Inventory of finished goods is an example of a current asset that will or should be sold within a year.
Stock does not qualify as a non-current asset. A non-current asset is one that has a lifespan longer than a year, such as machinery or equipment.
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i need help comparing box plots
Answers
Answer:
Step-by-step explanation:
Box plots, also known as box-and-whisker plots, are a graphical representation of the distribution of a set of data. To compare two or more box plots, you should consider the following aspects:
Central Tendency: Compare the medians of the box plots to see if they are similar or if there are significant differences. If the medians are similar, it suggests that the central tendency of the data is similar.
Spread: Compare the ranges of the box plots to see if they are similar or if there are significant differences. If the ranges are similar, it suggests that the data has similar spread.
Outliers:the presence, frequency, and magnitude of outliers in each box plot. Outliers can significantly affect the central tendency and spread of the data, so they should be considered when comparing box plots.
Shape: Compare the shapes of the box plots to see if they are symmetrical or skewed. Symmetrical box plots suggest a normal distribution, while skewed box plots suggest a non-normal distribution.
Overlap: Compare the overlap between the box plots to see if there is significant overlap or if the data sets are mostly distinct. If the box plots overlap significantly, it suggests that there is some overlap between the data sets.
It's also important to keep in mind the context of the data when comparing box plots. For example, if the data sets being compared come from different populations, it may not be appropriate to compare them directly.
By considering these aspects, you can gain a better understanding of the similarities and differences between two or more box plots and make more informed comparisons.
A major league baseball team is ending its season and totaling up concession salesLooking at receipts they have found that they made $10, 486, 525 in hot dog sales, $23, 451,492 in large drink sales, $4,765, 300 in soft pretzel sales and $1,342,653 in nacho salesIf they rounded each item's sales amount to the nearest million, what is the estimated money collected in concession sales? Do not include the in your answerWrite your answer without commas, for example, 1,000 should be written as 1000
Answers
The estimated money collected in concession sales is 39000000.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Amount made in sales:
$10, 486, 525 = hot dog sales
$23, 451,492 = large drink sales
$4,765, 300 = soft pretzel sale
$1,342,653 = nacho sales
Now,
Rounding to the nearest million.
$10, 486, 525 = hot dog sales = $10,000,000
$23, 451,492 = large drink sales = $23,000,000
$4,765, 300 = soft pretzel sale = $5,000,000
$1,342,653 = nacho sales = $1,000,000
Now,
The estimated money collected in concession sales.
= 10,000,000 + 23,000,000 + 5,000,000 + 1,000,000
= 39000000
Thus,
The estimated money collected is 39000000.
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Estimate the circumference of the circular base of the object. Round to the nearest hundredth if necessary.
D battery with radius 0. 65 in.
circumference:__in.
Answers
The circumference of a D battery with 0.65 inches radius was found to be 4.14 inches.
To find the circumference of a circle, we can use the formula:
C = 2 * π* r
where C is the circumference, π (pi) is a constant approximately equal to 3.14, and r is the radius of the circle.
For the circular base of a D battery with a radius of 0.65 inches, the circumference can be calculated as follows:
C = 2 * π * 0.65
C = 2 * 3.14 * 0.65
C = 4.14
Rounding to the nearest hundredth, we get:
C = 4.14 inches
So, the estimated circumference of the circular base of the object is approximately 4.14 inches
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furniture builder pays $100 for the materials necessary to build one porch swing. A store sells the swing for $250. What is the ratio of the cost in dollars of the materials to the sale price in dollars?
Answers
The ratio of the cost in dollars of the materials to the sale price in dollars is 0.4:1
The cost of the materials for one porch swing is $100 and the sale price of the swing is $250.
To find the ratio of the cost of the materials to the sale price, we divide the cost of the materials by the sale price as follows -
$100 ÷ $250 = 0.4
So, the ratio of the cost of the materials to the sale price is 0.4:1.
This means that for every $1 in the sale price, $0.4 is spent on materials or we can say that 40 cents of every dollar go towards materials.
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Jackson has a coin collection consisting of quarters and dimes. The total value of his collection is $16.60. His collection consists of five less quarters than three times the number of dimes. Using the variables q and d to represent the number of quarters in his collection and the number of dimes in his collection respectively, determine a system of equations that describes the situation.
Answers
The system of linear equations that describes the number and amount of coins that Jackson owns is: d - q = 5, 0.10 · d + 0.25 · q = 16.60, where q and d are the number of quarters and dimes.
How to construct a system of linear equations
In this problem we must construct a system of linear equations associated to number and amount of coins that Jackson owns. The procedure is shown below. First, determine the variables of the system:
q - Number of quarters
d - Number of dimes
Second, construct the system of linear equations:
Number of coins
d - 5 = q
d - q = 5
Amount of coins
0.10 · d + 0.25 · q = 16.60
Third, write the resulting system:
d - q = 5
0.10 · d + 0.25 · q = 16.60
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how to find 20.5% of 1850
Answers
Answer: make my answer brainliest
Step-by-step explanation:
379.25
Help! Please :D Thank you btw!!! I need help on this question
Answers
The true statements for the expression 5 / 8m = 10 are,
A) The equation can be the same as 1 / 8m = 2.
C) The equation can be solved by dividing both sides by 5 / 8.
D) The equation can be solved by multiplying both sides by 8 / 5.
What is an expression?
The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given expression is 5 / 8m = 10.
The true statements are:-
A) The equation can be the same as 1 / 8m = 2.
5 / 8m = 10
m= 16
1 / 8m = 2
m = 8 x 2 = 16
C) The equation can be solved by dividing both sides by 5 / 8.
5 / 8m / 5 / 8= 10 / ( 5 / 8 )
m = 8 x 2 = 16
D) The equation can be solved by multiplying both sides by 8 / 5.
5 / 8m x 8 / 5 = 10 x 8 / 5
m = 16
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g let a and b be two events, and assume that 0 < p( b ) < 1. what is smallest value ( p( a | b ) p( not a | b ) )/2 might have?
Answers
The smallest value that (p(a|b) p(not a|b))/2 might have is 0.
The smallest value that (p(a|b) p(not a|b))/2 might have is 0. If p(a|b) = 0, then (p(a|b) p(not a|b))/2 = 0. This means that if event a does not occur, given that event b has already occurred, then the value of (p(a|b) p(not a|b))/2 will be 0.
On the other hand, if p(not a|b) = 0, then (p(a|b) p(not a|b))/2 = 0, which means that if the event, not a, does not occur given that event b has already occurred, then the value of (p(a|b) p(not a|b))/2 will also be 0. Therefore, the smallest value that (p(a|b) p(not a|b))/2 might have is 0.
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7-2 Enrichment
Multiplying Polynomials
An architect is preparing to design an office building. She creates a sketch of the basic shape of the structure and
the relative dimensions of each piece shown. The angles in the sketch are all right angles. Find the volume of the structure using each approach. Draw lines on the sketches and record your expressions.
1. Divide the structure into two different rectangular
prisms. Add the volumes of the two prisms to create
an expression for the total
Volume
2. Divide the structure into three different rectangular
prisms. Add the volumes of the three prisms to create
an expression for the total volume.
3. View the structure as one prism with 2 equal sized prisms. Find the volume of the large prism and subtract the volumes of the smaller pieces to find the expression for the total volume!!
Thanks for helping!! (We are learning polynomials right now, like (2+x)^2 for clarification for the problems!!!) :)
Answers
The volume of the composite prism using the three methods is 4x^3 - 26x^2 -2x + 160
The volume using two prismsFrom the question, we have the following parameters that can be used in our computation:
The composite figure
Using two prisms, we have the following dimensions
Rectangular prism 1: (x + 4) by (x - 5) by (x - 8)Rectangular prism 2: x by (x - 5) by (3x - 2)The volume is the product of the dimensions
So, we have
Volume = (x + 4) * (x - 5) * (x - 8) + x * (x - 5) * (3x - 2)
Evaluate
Volume = 4x^3 - 26x^2 -2x + 160
The volume using three prismsHere, we have the following dimensions
Rectangular prism 1: (x + 4) by (x - 5) by (x - 8)Rectangular prism 2: x by (x - 5) by (3x - 2 -x + 3)Rectangular prism 3: x by (x - 5) by (x - 3)The volume is the product of the dimensions
So, we have
Volume = (x + 4) * (x - 5) * (x - 8) + x * (x - 5) * (3x - 2 - x + 3) + x * (x - 5) * (x - 3)
Evaluate
Volume = 4x^3 - 26x^2 -2x + 160
The volume as a single prismIn (a) and (b), we have
Volume = 4x^3 - 26x^2 -2x + 160
For the large prism, we have
Large = x * (x - 5) * (3x - 2)
Evaluate
Large = 3x^3 -17x^2 + 10x
Subtract 3x^3 -17x^2 + 10x from the total volume to get the smaller volume
Smaller = 4x^3 - 26x^2 -2x + 160 - (3x^3 -17x^2 + 10x)
Evaluate
Smaller = x^3 - 9x^2 - 12x + 160
Hence, the volume of the prism is 4x^3 - 26x^2 -2x + 160
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The range for the eight numbers shown is 40. Find the two possible values of the missing number. 42 13 19 5 ? 11 27 33
Answers
The missing value to make the set of numbers to have a range of 40 is the number 2.
What is the range?In mathematics, the range can be defined as the difference between the greatest and lowest values in a set of numbers. Due to this, the range can be found by using subtraction.
What is the current range?In this case, the current range is 37 which is a result of 42 (greatest value) -5 (lowest value). However, the required range is 40. Let's calculate the missing value:
42-40 = 2
Based on this, the missing value is 2.
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Lauren has a coin collection. She keeps 3 of the coins in her box, which is 4% of the collection. How many total coins are in her collection?
Answers
The total number of coins is equal to 35
How to determine the total number of coins?We have the following parameters that can be used in our computation:
Given that She keeps 3 of the coins in her box, which is 4% of the collection.
Number of coins in the box = 7
Proportion of coins in the box = 20%
These parameters mean that the Number of coins in the box = Proportion of coins in the box x Total number of coins
Substitute the known values in the equation, so, we have the following representation
7 = 20% x Total number of coins
Then Divide both sides by 18%
Total number of coins = 35
Hence, the total number of coins is; 35
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write the following expression without negative exponents and without parentheses (-9x)^-2
Answers
The value of the expression is 1/(9x)^2
How to evaluate the expressionFrom the question, we have the following parameters that can be used in our computation:
(-9x)^-2
We can write the expression without negative exponents by using a fraction with a positive exponent:
(-9x)^-2 = 1/(-9x)^2
And without parentheses, this expression becomes:
1/(9x)^2
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Need help on No. 4 WILL MARK AS BRAINLIEST
Answers
The equation to represent proportionality relationship is y = 8.5x.
What is constant of proportionality?The ratio between two proportional quantities' constant values is known as the constant of proportionality. When either their ratio or their product gives a constant, two changing values are said to be in a proportionate relationship. The Direct Variation and Inverse Variation types of proportions between the two provided quantities determine the proportionality constant's value.
Direct Variation: The direct proportionality equation is y = kx, which demonstrates that as x rises, y rises at the same rate.
Inverse Variation: The indirect proportionality equation, y = k/x, demonstrates that when y rises, x falls, and vice versa.
Two variables are said to be proportion if an increase/decrease in one variable causes an increase/decrease in the other variable.
Let x represent the movie tickets and y represent the cost.
Since x and y are proportional, hence:
y ∝ x
y = rx
Where r is the constant of proportionality.
From the table to find x, when y = 17, x = 2, hence:
17 = 2r
r = 8,5
y = 8.5x
Hence, the equation to represent proportionality relationship is y = 8.5x.
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The arc length of a circle intercepted by a central angle of 41.9° is 9.9 inches, what is the radius of the circle? Round to the nearest 10th of an inch.
Answers
Answer:
Radius = 13.8 inches
Step-by-step explanation:
The relationship between arc length, s , the radius r and central angle θ in radians is given by the formula
s = rθ where r = radius, θ is central angle in radians
Or,
r = s/θ
Given s = 9.9 in and θ = 41.4° we get
θ in radians = (θ in degrees) x π/180 radians
So 41° = 41 x π/180 radians = 0.7156 radians
r = s/θ
r = 9.9/0.7156
r = 13.835 inches
Rounded to the nearest tenth:
r = 13.8 inches
81 is what percent of 3600?
Answers
Answer:
2.25%
Step-by-step explanation:
hope dis help
Answer:
2.25%
Step-by-step explanation:
A parachutist's rate during a free fall reaches 162 kilometers per hour. What is this rate in meters per second? At this rate, how many meters will the parachutist fall during 15 seconds of free fall? Do not round your answers.
Answers
Answer:
Below
Step-by-step explanation:
Using 162 km = 162000m and 1 hour = 3600 s
162000 m / 3600s = 45 m/s
At constant 45 m/s :
rate * time = distance
45 m/s * 15 s = 675 m in 15 seconds
7 QUESTIONS PAY IS 100 WILL GIVE BRAINLEIST
A maintenance worker needs to wax a restaurant floor shaped like the image shown.
A six-sided figure. There is a horizontal base of 35 feet then another horizontal base below it of 20 feet. The longest side is to the right and is 40 feet. The top is 30 feet. There is a perpendicular from the vertex of the top to the first base of 35 that is labeled 15 feet.
If the wax cost $1.38 a square foot, how much will the wax cost to cover the floor?
$1,224.75
$1,569.75
$2,104.50
$2,449.50
Question 2(Multiple Choice Worth 2 points)
(Area of Polygons and Composite Figures MC)
A quilter created the following shape to use in a block for a new quilt.
A six-sided figure with a large base of 13 inches. The side to the right of the base is 7 and one-half inches. The small side parallel to the base is 5.18 inches. There are two sides that form a point at a right angle. The smaller is 5 inches, and the larger is 6 inches.
What is the area of the shape for the quilt block?
sixty-three and three fourths in2
one hundred twelve and one half in2
one hundred twenty-seven and one half in2
225 in2
Question 3(Multiple Choice Worth 2 points)
(Area of Polygons and Composite Figures MC)
An image of a parallelogram is shown.
A parallelogram with a base of 22 and one-half feet and a height of 19 and one-fourth feet.
What is the area of the parallelogram?
four hundred twenty-three and one-half ft2
four hundred twenty-seven and one-half ft2
four hundred thirty-three and one-eighth ft2
four hundred fifty-five and one-eighth ft2
Question 4(Multiple Choice Worth 2 points)
(Area of Polygons and Composite Figures MC)
The image of a trapezoid is shown.
An isosceles trapezoid with a short base of 3 meters and a height of 6.2 meters. The portion of the large base from the left vertex to the perpendicular is 4 meters. The portion of the large base from the right vertex to the perpendicular is 7 meters.
What is the area of the trapezoid?
20.2 m2
43.4 m2
33.4 m2
86.8 m2
Question 5(Multiple Choice Worth 2 points)
(Area of Polygons and Composite Figures MC)
An image of a rhombus is shown.
A rhombus with a base of 16 centimeters and a height of 15.5 centimeters.
What is the area of the rhombus?
15.75 cm2
31.5 cm2
124 cm2
248 cm2
Question 6(Multiple Choice Worth 2 points)
(Area of Polygons and Composite Figures MC)
A composite figure is shown.
A five-sided figure with two parallel bases. The top one is 4 inches. The vertical height between these bases is 2.3 inches. That vertical height intersects the bottom base, leaving 2.5 inches between it and the vertex to the left. The side on the right is the longest at 5.2 inches. There is a horizontal line connecting the vertex of the bottom base to the 5.2-inch side and that line is 3 inches.
Which of the following represents the total area of the figure?
16.425 in2
20.775 in2
24.15 in2
28.5 in2
Question 7(Multiple Choice Worth 2 points)
(Area of Polygons and Composite Figures MC)
A composite figure is shown.
A five-sided figure with two parallel sides. The shorter one is 43 meters. The height of the figure is 34 meters. The portion from the vertex to the perpendicular height is 22 meters. The portion from a point to a vertical line created by two vertices is 18 meters.
Which of the following represents the total area of the figure?
306 m2
1,836 m2
2,142 m2
3,978 m2
Answers
Answer:
Step-by-step explanation:
I got you.
1.
The six-sided figure can be broken down into a rectangular prism with dimensions 35 x 20 x 30 and a right triangular pyramid with base 35 x 15 and height 30.
The rectangular prism has a total floor area of 35 x 20 = 700 square feet.
The right triangular pyramid has a base area of 0.5 x 35 x 15 = 262.5 square feet and a total floor area of 262.5 + 700 = 962.5 square feet.
So the total floor area of the six-sided figure is 962.5 square feet.
To find the cost to cover the floor with wax, we multiply the floor area by the cost per square foot:
962.5 * $1.38 = $1322.35
So the wax will cost $1322.35 to cover the floor.
2.
The shape for the quilt block can be divided into two right triangles and a rectangle. The rectangle has a length of 13 inches and a width of 5.18 inches, so its area is 13 * 5.18 = 67.34 square inches. The two right triangles each have a base of 5 inches and a height of 6 inches, so their area is 0.5 * 5 * 6 = 15 square inches each. The total area of the two right triangles is 15 * 2 = 30 square inches. The total area of the quilt block is 30 + 67.34 = 97.34 square inches.
So the area of the shape for the quilt block is 97.34 square inches.
3.
The area of a parallelogram is given by the formula: Area = base * height.
So the area of this parallelogram is:
22.5 feet * 19.25 feet = 432.0625 ft^2
So the area of the parallelogram is 432.0625 square feet or approximately 432 and 6/16 square feet.
4.
An isosceles trapezoid has two equal sides that are parallel to each other. In this case, the two equal sides are perpendicular to the height and are equal to 4 + 7 = 11 meters each. The average of the two parallel sides is the formula for the top base of a trapezoid, so the top base is (3 + 11)/2 = 7 meters.
The area of a trapezoid is given by the formula: Area = (bottom base + top base) * height / 2.
So the area of this trapezoid is:
(3 + 7) * 6.2 / 2 = 33.4 m^2
So the area of the trapezoid is 33.4 square meters.
5.
The area of a rhombus is given by the formula: Area = (diagonal 1 * diagonal 2) / 2.
In this case, the base of the rhombus is equal to one of its diagonals, and the height is equal to the other diagonal. So the area of this rhombus is:
(16 * 15.5) / 2 = 124 cm^2
So the area of the rhombus is 124 square centimeters.
6.
he total area of the figure can be found by dividing it into two parts: a parallelogram and a triangle.
The parallelogram can be found by using the formula for the area of a parallelogram: Area = base * height. In this case, the base is 4 inches and the height is 2.3 inches, so the area of the parallelogram is: 4 * 2.3 = 9.2 square inches.
The triangle can be found by using the formula for the area of a triangle: Area = (base * height) / 2. In this case, the base is 2.5 inches and the height is 3 inches, so the area of the triangle is: (2.5 * 3) / 2 = 3.75 square inches.
The total area of the figure is the sum of the areas of the parallelogram and triangle: 9.2 + 3.75 = 12.95 square inches.
So the total area of the figure is approximately 12.95 square inches.
7.
The figure can be broken down into two triangles and a rectangle. The area of one triangle is (1/2)bh = (1/2)(22)(34) = 308. To find the area of the other triangle, use the Pythagorean theorem to find the length of the remaining side. The two remaining sides are 43 and 18, and the hypotenuse is the side connecting the two vertices, so we have:
a^2 + b^2 = c^2
43^2 + 18^2 = c^2
1,849 + 324 = c^2
2,173 = c^2
c = 46.7
The area of this triangle is (1/2)bh = (1/2)(46.7)(34) = 786.2
The rectangle has a base of 43 and a height of 34, so its area is 43 * 34 = 1,462
The total area of the figure is 308 + 786.2 + 1,462 = 2,556.2 square meters.
So the answer is 2,556.2 m2.
how many factors and terms are in the expression 4(8x + 5)
Answers
24x + 5 and 4 are the two variables in the equation.
What is a mathematical expression?Mathematical expressions consist of at least two integers or factors, at least each math procedure, and a sentence. It's possible to multiply, divide, add, or remove with this mathematical procedure.
The expression 4(8x + 5) can be simplified using the distributive property of multiplication over addition as follows:
4(8x + 5) = 4×8x + 4×5 = 32x + 20
So the expression 4(8x + 5) has two terms: 32x and 20.
To find the factors of the expression, we can factor out the greatest common factor of 32 and 20, which is 4:
4(8x + 5) = 4×2×4x + 4×5 = 4(2×4x + 5)
So the expression has two factors: 4 and (2×4x + 5).
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the sugar sweet company will choose from two companies to transport its sugar to market. The first company charges $2804 to rent trucks plus an additional fee of $100.25 for each ton of sugar. The second company does not charge to rent trucks but charges $225.75 for each ton of sugar.
Answers
A. For 22.3 tons of sugar, the two companies would charge the same.
B. The cost, when the two companies charge the same, would be $5040.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
A. To find the amount of sugar for which the two companies charge the same, we can set the cost for each company equal to each other and solve for the amount of sugar.
The equation for the first company would be:
2804 + 100.25x (where x is the number of tons of sugar)
The equation for the second company would be:
225.75x
Setting these two expressions equal to each other and solving for x, we get:
2804 + 100.25x = 225.75x
x = 22.3
So, for 22.3 tons of sugar, the two companies would charge the same.
B. To find the cost when the two companies charge the same, we can plug 22.3 tons of sugar into either of the two equations:
2804 + 100.25 × 22.3 = $5039.57
or
225.75 × 22.3 = $5039.57
So, the cost when the two companies charge the same would be $5040.
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The question seems incomplete, the missing part has been below:
The sugar-sweet company will choose from two companies to transport its sugar to market. The first company charges $2804 to rent trucks plus an additional fee of $100.25 for each ton of sugar. The second company does not charge to rent trucks but charges $225.75 for each ton of sugar.
A. For what amount of sugar do two companies charge the same?
B. What is the cost when two companies charge the same?