Answer:
Sales=8571$
Commission=11.2% of Sales
=11.2/100 × 8571$
=(11.2×8571)/100 $
=959.952$ Which is nearly equal to 960$.
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OMG PLEASE HELP FAST, Write the equation of the line in fully simplified slope-intercept form.
The equation of the line in the attached graph in slope intercept form is written as
y = -6x + 2How to write the equation of the lineThe slope, m of the linear function is calculated using the points on the graph (1, -4) and (2, -10)
m = (y₀ - y₁) / (x₀ - x₁)
plugging in the values and evaluating
m = (-10 + 4) / (2 - 1)
m = (-6) / (1)
m = -6
equation passing through point (2, -10), using the point slope formula
(y - y₁) = m (x - x₁)
y - (-10) = -6(x - 2)
y + 10 = -6x + 12
rearranging the equation
y = -6x + 12 - 10
y = -6x + 2
The equation of the line in slope intercept form is written as y = -6x + 2
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classify the relationship between angles 1 and 2
Answer:
<1 and <2 are Complementary Angles
m<1 + <2 = 90 degrees
Step-by-step explanation:
<1 and <2 are Complementary Angles
m<1 + <2 = 90 degrees
Have a great day!
Since, angle 1 and 2 sums up to make 90 degrees, hence Angle 1 and 2 are complementary angles.
What is complementary angle?Complementary angles are those whose combined angle is exactly 90 degrees. 30 degrees and 60 degrees, for instance, are complementary angles.
What is a supplementary angle?Angles that add up to 180 degrees are referred to as supplementary angles. For instance, angle 130° and angle 50° are complementary angles since the sum of these two angles is 180°. In the same way, complementary angles sum to 90 degrees.
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Find the solutions of the quadratic equation 3x2−x+8=03x 2 −x+8=03, x, squared, minus, x, plus, 8, equals, 0.
The solutions of the quadratic equation 3x² − x + 8 = 0 are as follows;
x = 0.1667 + 1.6245i
x = 0.1667 - 1.6245i
How to solve the given quadratic equation?In Mathematics, the standard form of a quadratic equation is given by this mathematical expression;
ax² + bx + c = 0
Mathematically, the quadratic formula is modeled or represented by this mathematical expression:
[tex]x = \frac{-b\; \pm \;\sqrt{b^2 - 4ac}}{2a}[/tex]
From the information provided above, we can logically deduce the following data values (parameters);
3x² − x + 8 = 0
Where:
a = 3b = -1c = 8Substituting the data values (parameters) into the quadratic formula, we have the following;
[tex]x = \frac{-(-1)\; \pm \;\sqrt{(-1)^2 - 4(3)(8)}}{2(3)}\\\\x = \frac{1\; \pm \;\sqrt{1\; - \;4(3)(8)}}{2(3)}\\\\x = \frac{1\; \pm \;\sqrt{1\; - \;96}}{6}[/tex]
x = (1 ± √95)/6
x = (1 + √95)/6 = 0.1667 + 1.6245i
or
x = (1 - √71)/6 = 0.1667 - 1.6245i
In conclusion, i represents a complex number.
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Complete Question:
Find the solutions of the quadratic equation 3x² − x + 8 = 0.
At her birthday party, Sam is serving a slice of cake to each attendee. Of each attendee receives 2 slices, there will be 20 slices left. If 5 attendees do not receive any slices and the rest receive 5 slices each, there will be no cake left. How many attendees were at the party
On solving the provided question, we can say that by having the equation 15 attendees were at the party
What is equation?An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.
let x = number of attendees
[tex]2x[/tex] + 20 = number of slices 5(x-5) = [tex]2x[/tex] - 20
[tex]5x[/tex] - 25 = [tex]2x[/tex] + 20
[tex]3x[/tex] = 45
[tex]x[/tex] = 15
[tex]2x[/tex] + 20 = 50 slices
15 attendees
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Freddy is helping buy ingredients for salads for the school spaghetti dinner he bought 10 pounds of onions at $0.69 per pound 100 pounds of tomatoes at $0.99 pound 1,000 pounds of break cumbs at $0.09 per pound and 100 pounds of lettuce at $0.69 per pound which of the items he bought cost the most?
Answer:
Answer: Tomatoes If you multiply 10 x 0.69 (for onions) it would be 6.9If you multiply 100 x 0.99 (for tomatoes) it would be 99Lastly, if you multiply 100 x 0.69 (for lettuce) if would be 69Which are the most? Tomatoes.~ Hope this helps
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In baseball, each time a player attempts to hit the ball, it is recorded. the ratio of hits compared to total attempts is their batting average. each player on the team wants to have the highest batting average to help their team the most. for the season so far, jana has hit the ball 8 times out of 10 attempts. tasha has hit the ball 9 times out of 12 attempts. which player has a ratio that means they have a better batting average? tasha, because she has the lowest ratio since 0.75 < 0.8 tasha, because she has the highest ratio since 48 over 60 is greater than 45 over 60 jana, because she has the lowest ratio since 0.75 < 0.8 jana, because she has the highest ratio since 48 over 60 is greater than 45 over 60
Answer: Jana
Step-by-step explanation: because she has the highest ratio 48 over 60 > 45 over 60
I did the test
Can you help me with this
Answer:
m = 2
Step-by-step explanation:
Slope = rise / run or (y2 - y1) / ( x2 - x1)
Let's pick 2 points (0,0) (1,2)
We see the y increase by 2 and the x increase by 1, so the slope is
m = 2
The number 1341 can be written as the sum of three consecutive positive integers. What is the largest of these integers
x = 448, which is the greatest of these integers.
What are integers ?Positive, negative, and zero are all examples of integers.
The Latin word "integer" signifies "whole" or "intact."
As a result, fractions and decimals are not included in integers.
All whole numbers and negative numbers are considered integers.
This means that if we combine negative numbers with whole numbers, a collection of integers results.
An integer, which can comprise both positive and negative integers, including zero, is a number without a decimal or fractional portion.
Here are a few instances of integers: -5, 0, 1, 5, 8, 97, and 3,043. a collection of numbers, denoted by the symbol Z.
According to our question-
added together =1341
x + x-1 + x-2 =1341
3x-3 = 1341
3x = 1344
x = 448
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solve the following equations graphically
x + y=3 & x-3y= -5
Answer:
[tex](x,y)\rightarrow(1,2)[/tex]
Step-by-step explanation:
Multiply first equation by 3 to help cancel out the "y" variable:
[tex]\displaystyle \left \{ {{x+y=3} \atop {x-3y=-5}} \right.\\\\\rightarrow \left \{ {{3x+3y=9} \atop {x-3y=-5}} \right.[/tex]
Combine system of equations on both sides:
[tex](3x+3y)+(x-3y)=9+(-5)\\4x=9-5\\4x=4\\x=1[/tex]
Thus,
[tex]x+y=3\\1+y=3\\y=2[/tex]
please help quickly
These polygons are similar. x=?
The value of x in the similar polygons is 7.
How to find the side of similar polygon?Two polygons are similar if their corresponding angles are congruent and their corresponding sides are in proportion.
Therefore, the polygons WXY and STU are similar.
Hence, using proportion, let's find the value of x
3 / 9 = 4 / x + 5
cross multiply
3(x + 5) = 9 × 4
3x + 15 = 36
subtract 15 from both sides of the equation
3x + 15 - 15 = 36 - 15
3x = 21
divide both sides by 3
x = 21 / 3
x = 7
Therefore,
x = 7
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What is the area of a rectangle with a length of 14.4 inches and a width that is one-third of the length?
A. 43.2 in.
B. 51.84 in.
C. 69.12 in.
D. 103.68 in.
If you give the answer, please make sure it is correct and one of the answers on the group of answer choices! Thank you! :)
The area of the rectangle is 69.12 square inches.
What is the area of the rectangle?
We know that for a rectangle of length L and width W, the area is given by the formula:
A = L*W
Here we know that the length is 14.4 inches, then:
L = 14.4 in
And the width is one-third of that length, then we can write:
W = (1/3)*L
Replacing the value of L, we will get:
W = (1/3)*14.4 inches
W = 4.8 inches.
Then the area of the rectangle is:
A= (4.8 in)*(14.4 in) = 69.12 in²
That is the area of the rectangle.
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Points E and Flie on a circle, centre O.
The radius of the circle is 10 cm.
The area of the shaded sector is 65cm².
Diagram not drawn to scale
Calculate the size of angle EOF
(3 marks)
The measure of the angle of the shaded sector with an area of 65 cm² is 74.5°
What is an equation?An equation is used to show the relationship between numbers and variables.
The area of a two dimensional shape is the amount of space it occupies.
The area of a sector in a circle is given by:
Area = (Ф/360) * π * radius²
Where Ф is the sector angle
Given that sector area is 65 cm², radius is 10 cm, hence:
Area = (Ф/360) * π * radius²
Substituting gives:
65 = (Ф/360) * π * 10²
Ф = 74.5°
The measure of the angle is 74.5°
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Product sales by month (in thousands) Month Product 1 Product 2 Product 3 Product 4 Product 5 January 228 964 429 169 456 February 188 784 414 238 520 March 222 816 422 235 562 April 222 738 414 214 624 May 176 710 420 303 670 June 120 697 486 768 342 Popular products are often placed in the window to attract customers into the store. Based on this information, which product should be displayed in the window in July?
Based on the information provided, it seems that the product that should be displayed in the window in July is Product 5.
What is mean?A dataset's mean is the sum of all values divided by the total number of values, often known as the arithmetic mean (as opposed to the geometric mean). Often referred to as the "mean," this is the most often used measure of central tendency. Simply dividing the dataset's total number of values by the sum of all of those values yields this result. Both raw data and data that have been combined into frequency tables can be used for calculations. Average refers to a number's average. It is straightforward to calculate:
Divide by how many digits there are after adding up all the digits. the total divided by the count.
Based on the information provided, it seems that the product that should be displayed in the window in July is Product 5. This can be determined by looking at the sales data for each product over the months of January through June.
In every month, Product 5 has the highest sales figures among all the products. This suggests that Product 5 is the most popular among customers and would likely attract the most attention if it were to be placed in the window.
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Dean Wormer wants to compare the grade point average of athletes at Faber College with the overall grade point average at Faber College. She randomly selects three students from each team and determines that their combined grade point average, 2. 3, is the same as that of all students at Faber. In this example, what is the population
yes it is the same as that of all students at Faber GPAs as 2.32 and lower will mean that a track team athlete will be recommended for extra tutoring and population is 2.3* student number
What is the definition of a population?
In ordinary usage, a population is a distinct group of individuals with shared citizenship, identity, or characteristics. In statistics, a population is a representative sample of a larger group of people (or even things) with one or more characteristics in common.
When the distribution is normal, we use the z-score formula.
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
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need help with these three
A+school+is+going+on+a+trip.+There+will+be+3+buses+to+take+students.+On+each+bus,+there+are+80+seats.+Teachers+will+sit+in+3+of+the+seats+on+each+bus.+How+many+seats+are+available+for+students+on+the+buses? A. 240 B. 231 C. 83 D. 77
The solution is Option B.
Number of seats for the students is given by the equation A = 231 seats
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number of seats for the students be A
Now , the equation will be
The total number of buses = 3 buses
The total number of seats on each buses = 80 seats
So , the total number of seats = number of buses x number of seats on each buses
Substituting the values in the equation , we get
The total number of seats = 80 x 3
The total number of seats = 240 seats
Now , the teachers has 3 seats each on 3 buses
So , the number of seats for teachers = 3 x 3 = 9 seats
And , the remaining number of seats = total number of seats of students
The total number of seats for students A = total number of seats - number of seats for teachers
Substituting the values in the equation , we get
The total number of seats for students A = 240 - 9
The total number of seats for students A = 231 seats
Therefore , the value of A is 231 seats
Hence , the number of seats for students is 231 seats
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Tim shows his work To answer a subtraction problem. Tell how to find an equation to represent the problem Tim starts with and its answer. 863+7=870 870+30=900 900+55=955
As you can see, we turned the fraction 10100 into its decimal representation, 0.1, in a single simple computation.
what is fraction?Any number of equal portions, or parts of a whole, are described by fractions. Fractions in standard English indicate the number of pieces of a specific size. 8, 3/4 of .Part of an entire is a fraction. The ratio of the numerator to the denominator is how numbers are expressed in mathematics. Each of these is an integer in simple fractions. In the numerator or denominator of a complex fraction is a fraction. When a fraction is true, its numerator is smaller than its denominator.
With 100 as the denominator, decimal fractions in the hundredth place are written. We shall discover how each square is split into 100 equal sections in this section. A tenth is a portion that is just partially shaded. The fraction is expressed as 1/100 in decimal form.
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Josiah bought a new car for $25,000. He did some research and found that the value of his car would depreciate at an average rate of $3,750 per year. The table shows data about the value of his car over the next 4 years.
Number of Years Owned 1 2 3 4
Car Value $ 25000 21250 13750 10000
Express the relation as a set of ordered pairs.
Identify the domain and range of this relation.
Is this relation a function?
The domain is the set of years, which is {1, 2, 3, 4}, and the range is the set of values, which is {25000, 21250, 13750, 10000}. The ordered pairs of this function are (1, 25000), (2, 21250), (3, 13750), (4, 10000).
The relation described above can be expressed as a set of ordered pairs by calculating the value of the car for each year based on the depreciation rate. Let's calculate the value of the car for each year:
Year 1: 25000
Year 2: 25000 - 3,750
= 21250
Year 3: 21250 - 3,750
= 13750
Year 4: 13750 - 3,750
= 10000
Therefore, the ordered pairs of this relation are
: (1, 25000), (2, 21250), (3, 13750), (4, 10000).
The domain of this relation is the set of years, which is {1, 2, 3, 4}, and the range is the set of values, which is
{25000, 21250, 13750, 10000}.
This relation is a function because each input (year) is associated with one output (value).
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What are the 14 types of angles?
Fourteen types of angles are Acute Angles, Obtuse Angles, Right Angles, Straight Angles, Reflex Angles, Positive Angles, Negative Angles, Complementary angles, Supplementary angles, Linear Pair, Adjacent angles, Vertically Opposite angles, Alternate interior angles and Alternate exterior angles.
There are mainly 5 types of angles based on their magnitude. They are Acute Angles, Obtuse Angles, Right Angles, Straight Angles and Reflex Angles.
Positive Angles and Negative Angles are the angles based on the direction of measurement or the direction of rotation.
When two angles are paired, then there exist different angles, such as Complementary angles, Supplementary angles, Linear Pair, Adjacent angles, Vertically Opposite angles, Alternate interior angles and Alternate exterior angles.
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EMERGENCY i need thissss helpp. tysmm <33
Kate is putting mulch down in her circular shaped garden. The garden has a radius of 12 feet. How much mulch does she need?
Kate needs to buy 453.6 ft2 of mulch for her 12 ft radius garden, which is equal to 76.3 cubic feet when multiplied by the desired depth.
Kate needs to purchase 453.6 cubic feet of mulch for her garden. To figure this out, she needs to first calculate the area of her garden using the formula A = πr2, where A is the area of the garden and r is the radius. In this case, the area of Kate’s garden is 453.6 ft2. For example, if she wants to put down 2 inches of mulch, she would need to purchase 453.6 ft2 x 0.167 ft = 76.3 cubic feet. This calculation can be adjusted depending on the depth of mulch desired. For example, if Kate wants to put down 3 inches of mulch, she would need to purchase
453.6 ft2 x 0.25 ft = 113.4 cubic feet
A = πr2
A = π(12)2
A = 453.6 ft2
Mulch = A x depth
Mulch = 453.6 ft2 x 0.167 ft
Mulch = 76.3 cubic feet
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1. Rewrite the equation 5(x – 3) = x + 13 with 6 substituted for x. Write a question mark over the equal sign to show that you're testing to see if the equation is true. (2 points)
x = 6 does not satisfy the given equation.
What is an equation?An equation is a mathematical statement that shows that two mathematical expressions are equal.
Given that an equation, 5(x – 3) = x + 13
Checking if x = 6 satisfy the equation or not,
5(x – 3) ? x + 13
5(6-3) ? 6+13
5×3 ? 19
15 ≠ 19
Hence, x = 6 does not satisfy the equation.
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Give an example of a radical expression and a rational exponent. Convert each to the other form. Simplify one example that utilizes at least one exponent rule.
Radical expression can be defined as the expression containing square root and rational exponent , which is in the form of p/q form.
What is an Algebraic expression ?
Algebraic expression can be defined as combination of variables , constants and exponents.
Radical expression, in which if the expression contains square root than it called as the radical expression.
Examples are : - [tex]\sqrt{7}[/tex] , [tex]\sqrt{x}[/tex] and etc .
Rational exponent , in which it is in the form of p/q is called as the rational exponent .
Examples are :- 5/8 , 6/9,8/7 and etc .
Hence, Radical expression can be defined as the expression containing square root and rational exponent , which is in the form of p/q form.
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-8 5/9 = 4 2/3w
.............................
Answer:
w = -11/6
Step-by-step explanation:
-8 5/9 = 4 2/3w
-8 5/9 = -77/9
4 2/3 = 14/3
So, our equation is
-77/9 = 14/3w
Divided both sides by 14/3
w = -11/6
028)
the cost to insure jewellery is a fixed amount plus a percentage of the value of the jewellery. it costs 32$ to insure 1000$ worth of jewellery or 44.5$ to insure 3500$ worth of jewellry.what is the fixed amount to insure jewellery?
i wrote jewellery so much it isnt a word anymore send help ( explanatio ) asap!
Answer:
The fixed cost to insure jewellery is $0.602.
Step-by-step explanation:
We can use the information provided to set up a system of two equations in two variables, and then use the system to solve for the fixed cost of insuring the jewellery. Let x be the fixed cost and y be the percentage of the value of the jewellery. Then we can write the following two equations:
1000x + 1000y = 32 (1) (cost equation for insuring $1000 worth of jewellery)
3500x + 3500y = 44.5 (2) (cost equation for insuring $3500 worth of jewellery)
We can use either of these equation to solve for the fixed cost(x), to do that we can first solve for y from either of the equation, and then substitute it in other equation.
From equation (1)
y = (32 - 1000x) / 1000
then substitute this in equation (2)
3500x + 3500((32-1000x) / 1000) = 44.5
3500x + 32 - 3500x =44.5 - (1000x)
-20x = -12.05
x = 0.602 $
So, the fixed cost to insure jewellery is $0.602.
That means you have to pay $0.602 as a fixed cost, in addition to 0.01(y) as a percentage of the value of jewellery to insure it.
Select the correct answer from each drop-down menu. A picture frame with an area of 60 square inches has a width, w, and a height that is 4 inches greater than the width. Write an equation to represent the area, and solve to find the width. Equation: Of the two solutions, only a width of inches makes sense in the context of the problem. Reset Next
The width of the picture frame with the given area would be = 3.9in
What is a frame?A frame is a structure that can be a rectangle or a square shape which is used to display a picture.
The area of the frame = 60in²
The width of the frame = x
The height of the frame = 4x
The area of a rectangle = length×width
That is ; 60 = X × 4x
60 = 4x²
make X the subject of formula;
X = √60/4
X = √15
X = 3.9 in.
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Where does the line 2x 3y 6 will intersect Y axis at?
The graph of the given line 2x+3y=6 intersects the Y-axis at (0,2).
For the graph of linear equation to intersect the Y-axis, its X-co-ordinate should be zero or the abscissa is zero as Y-axis as the equation of Y-axis is x=0. Also the set of coordinates should satisfy the equation.
According to the first condition the x-coordinate of the equation should be zero so in equation 2x+3y=6 substituting the value of x as zero 2(0)+3y=6
3y=6
y=6/3=2
So at point (0,2), the graph of the given line 2x+3y=6 intersects the Y-axis.
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Write a recursive formula for an,the nth term of the sequence 125, -25, 5, ...
Recursive formula for a(n) , the nth term of the sequence is
⇒ a(n) = 125 × (5)ⁿ⁻¹
What is Geometric sequence?An sequence has the ratio of every two successive terms is a constant, is called a Geometric sequence.
We have to given that;
The sequence is,
⇒ 125, - 25, 5 , ....
Clearly, The sequence is a geometry sequence with common ratio - 5 and first term 125.
We know that;
The nth term of geometry sequence is,
⇒ a(n) = a rⁿ⁻¹
Where, 'r' is common ratio and 'a' is first term of the sequence.
Substitute all the values, we get;
The nth term of the given sequence is,
⇒ a(n) = a rⁿ⁻¹
⇒ a(n) = 125 × (5)ⁿ⁻¹
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Consider the following linear program.
Max 1A + 2B
s. T.
1A ≤ 6
1B ≤ 5
2A + 2B = 14
A, B ≥ 0
For the provide inquilty problem,
a) The feasible region lies in between the following equations,
On or below the line y = 5On or to the left of the line x = 6On or above the y-axis i.e, y = 0On or to the right of the x-axis, x=0 On the linear line 2x + 2y = 14b) The extreme points of feasible region are (2,5) , (6,1) ,(0,0),(6,0),(0,5).
Let consider, x = A and y = B, this changes your inequalities and equations as follows: Maximize x + 2y, such that:
x ≤ 6
y ≤ 5
2x + 2y = 14
x,y ≥ 0
We use graphical method, for getting the solution of problem. So, first change the Inequalities into equality equations.
x = 6y = 52x + 2y = 14x = 0y = 0we would then find the region of feasibility by looking at the areas on the graph that satisfy the inequalities and equations,
x ≤ 6
y ≤ 5
2x + 2y = 14 (this is an equation)
x ≥0
y ≥ 0
a) The graph will look like as present above : we can see that the feasible region is the area on the graph that is:
on or below the line y = 5
on or to the left of the line x = 6
on or above the line y-axis , y = 0
on or to the right of the x-axis, x = 0
on the line 2x + 2y = 14
This says is that your solution has to be on the line of 2x + 2y = 14, have an x-coordinate that is greater than or equal to 0 and less than or equal to 5 and have a y-coordinate that is greater than or equal to 0 and less than or equal to 5. The maximum or minimum value should be at the corner points of the feasible region.
b) The corner points would be at (x,y) = (2,5) and (x,y) = (6,1). Also, plotted some other points on the line just to show the max/min value of function on the corner points of the feasible region.
(2,5) = 12
(4,3)= 10
(3,4) = 11
(6,1) = 8
the maximum solution is at the coordinate of (2,5) and all of your constraints have to be satisfied at the this point. The solution is that the maximum value is when x = 2 and y = 5, that is one of the corner points of the feasible region.
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Complete question:
Consider the following linear program:
Max. 1A+2B , s.t.
1A ≤6
1B≤5
2A+2B=14
A,B>0
a. Show the feasible region.
b. What are the extreme points of the feasible region?
What is the answer of 7x 5 2x?
The answer to the given that is 7x 5 2x question is 70
Explanation: In this case the answer is calculated by performing the operations in the order they are written. First, we multiply 7 and 5, which gives us 35. Then, we multiply 2 and x, which gives us 2x. Finally, we add 35 and 2x, resulting in 70
Multiplication is an arithmetic operation that involves multiplying two numbers together to produce a third number. It is usually represented by the multiplication sign (×) and is one of the four basic operations in mathematics. Hence the correct answer is 70.
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