Answers
The value of x in this proposition would be the first option i.e. [tex]-13\frac{1}{4}[/tex]
4/11= -33/x+5,
to get the value of x we need to get the x to the left hand side,
4(x+5)= -33,
4x+20 = -33.
subtracting 20 from both the sides,
4x= -33-20
4x = -53.
dividing both the sides by 4,
x= -53/4
x= [tex]-13\frac{1}{4}[/tex] ,
which is option A in the given question
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Related Questions
Determine, whether each set of measures can be the sides of a right triangle.
1) 3,4,5
2) 5,5,10
3) 8,12,13
4) 26,24,10
Answers
For the period 1995-2002, the total personal expenditures (in billions of dollars) in the United States for food, f(x), and for housing, h(x), can be described by the equations shown below, where x is the number of years past 1995.†
f(x) = 40.74x + 742.65 and h(x) = 47.93x + 725
Find the year in which these expenditures were equal and the amount spent on each. (Round the year up. Give the amount correct to the nearest whole billion.)
year______
amount ______
Answers
Years: 2.455 years
Amounts: $843 billions
This can be solved by using equation solving method.
What is personal expenditures?An expense classified as personal is one that is not related to a trade or enterprise, a passive activity, or an investment. Personal consumption spending is often divided into two categories: goods and services. Groceries, automobiles, and fuel are a few examples of products. Rent, medical treatment, and insurance are a few examples of services.
f(x) = 40.74x + 742.65
h(x) = 47.93x +725
For f(x) = h(x),
40.74x + 742.65 = 47.93x +725
47.93x - 40.74x = 742.65 - 725
x (47.93-40.74) = 17.65
x = 17.65 /7.19 = 2.455 years.
2.455 years after 1995, that is in 1998, these expenditures would be equal to each other.
The amount spent on each would be :-
40.74(2.455) + 742.65 = $842.667
= $843 billions.
Years: 2.455 years
Amounts: $843 billions
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You are given an Isosceles Trapezoid,
If one of the base angles equals 45 then what is the measure of it's opposite angle?
Answers
The measure of trapezoid's opposite angle is 135°. The solution has been obtained by using properties of trapezoid.
What is a trapezoid?
Four sides make up the quadrilateral of a trapezoid, two of which are parallel while the other two are not. It is also referred to as a trapezium. A closed, four-sided form or figure known as a trapezoid has its own perimeter and can enclose an area.
We are given that one base angle is equal to 45°
We know that in a trapezoid
Base angle + Opposite angle = 180°
Using this, we get
⇒45° + Opposite angle = 180°
⇒Opposite angle = 180° - 45°
⇒Opposite angle = 135°
Hence, the measure of trapezoid's opposite angle is 135°.
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A rectangle has a perimeter.of 60 m. Find
the length of the rectangle if its breadth is:
10 m
Answers
Answer: 10 M
Step-by-step explanation:
The length of a rectangle is 4 in longer than its width.
If the perimeter of the rectangle is 40 in, find its area.
Answers
Answer: 396
Step-by-step explanation:
length- x+4
width - x
perimeter = 40
40 = x+4+x
40-4=2x
36=2x
x=18
length - 18+4=22
width - 18
area = 22*18 = 396
It’s multi step word problems divide and multiply
Answers
The number of adults who attended the concert is 824.
Linear Equation:
The equation is said to be linear if the greatest power of a variable always equals 1. It is also known as a one-degree equation. The usual form of a linear equation with one variable is Ax + B = 0. In this case, the variables x and A are variables while the variable B is a constant.
It is given in the question that the number of adults are twice the number of children.
then,
Suppose there were x children present at the concert.
Then number of adults will be 2x.
According to the given question,
x + 2x = 1236
3x = 1236
dividing both sides by 3, we get
x= 412
therefore, number of children who attended the concert is 412.
Then the number of adults will be,
2x = 2 x 412 = 824
therefore, the number of adults who attended the concert is 824.
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PLEASE PLEASE HELP Solve and explain the method you chose to use (distributive property, FOIL, multiplying special cases): (c+3)^2
Answers
c² + 9 + 6c is the solution by distributive property .
What in mathematics is a distributive property?
This characteristic states that multiplying the total of two or more addends by a number will produce the same result as multiplying each addend separately by the number and then combining the products collectively.
When you multiply one value by another, you are using the distributive property of multiplication over addition. When multiplying 5 by the sum of 10 plus 3, for instance, add 3. We typically add the numbers first, then multiply the result by 5, since the terms are similar. However, in accordance with the property, you can first multiply each addend by 5.
= (c+3)^2
= c² + 9 + 2 * c * 3
= c² + 9 + 6c
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ATP singles rankings for tennis players rank Rafael Nadal as 2 and Roger Federer as 1. This is an example of an interval scale. True or false
Answers
The required ATP singles rankings for tennis players rank is false.
What are ATP signals?An interval scale is a type of measurement scale that has equal units of measurement and a zero point, meaning that differences between scale values can be meaningfully compared, but there is no meaningful interpretation of the zero point.
In tennis, ranking points are assigned based on a player's performance in a set number of tournaments over a rolling 52-week period, but the actual number of points assigned to a player is not an interval scale.
Thus, it is incorrect to say that the ATP singles rankings for tennis players are an example of an interval scale.
The given statement is false.
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Which team has the best record? Explain how you know.
Answers
The team that has the best record when compared to the other teams would be = team High - 5s which has the least number of losses.
How to calculate the team that has the best record?The team with the best score can be calculated by finding the difference between the games and the losses.
The difference between games and losses of team Jule's Rules = 36-12 = 24.
The difference between games and losses of Pink Sox= 68-17 = 51
The difference between games and losses Go-Girls =
52-13 = 51
The difference between games and losses High-5s = 72-8 = 64
Therefore the team with the best record = team High - 5s which has the least number of losses.
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What’s 27/162 reduced to lowest terms?
Answers
1/6
EXPLANATION:
Both 27 and 162 are divisible by 9, so u divide them by 9.
3/18 is what you get, and both 3 and 18 are divisible by 3, so u divide both by 3 which gives u 1/6
Given the proportion a/b = 8/15, what ratio completes the equivalent proportion a/b
Answers
The ratio completes the equivalent proportion a/b is 16/30.
What is a proportional relationship?Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is known as the "constant of proportionality".
The given proportion is a/b = 8/15.
To get the equivalent proportion multiply both the numerator and denominator by 2 we get
16/30
Multiply both the numerator and denominator by 3 we get
24/45
Therefore, the ratio completes the equivalent proportion a/b is 16/30.
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Name:
Discrete Data:
Continuous Data:
Create a Histogram
Here are the times for swimming 100m from
several people:
113 124 108 89
103 114 125 136
Lowest Value:
Intervals:
93 92 102 98 88 104
79 123 90 93 87 99
Highest Value: 136
Interval Tally
1
Nuimperof,
people i
Skewedtsy
NO Outliers
Examples
Calculate the Average to check your answer.
Examples
Date,
17990 101 1 13 241130
Swinnming time
medo-110
136-8749
What do you think the average is? Draw a vertical line on the graph and label it "My Guess"
How does drawing the histogram help at guessing the average
Answers
Drawing the histogram helps in guessing the average by allowing us to visually see the distribution of the data.
What do you mean by histogram?It is used to show the frequency of occurrence of different values within a set of data. In a histogram, the data is divided into a set of intervals or "bins," and the height of each bar represents the number of data points that fall within that bin.
The x-axis of a histogram typically represents the range of values in the data, while the y-axis represents the frequency of occurrence of those values. The bars are positioned so that they touch each other, indicating that the data is continuous and that there are no gaps between the bins.
Discrete data refers to data that can only take certain values within a defined range, such as the number of candies sold. Continuous data refers to data that can take any value within a defined range, such as swimming time.
To create a histogram for the swimming times, we first need to determine the range of the data and choose an appropriate interval width. In this case, the lowest value is 87 and the highest value is 136, so the range is 87 to 136. A suitable interval width could be 5. This would give us 11 intervals, from 85 to 90, 90 to 95, and so on, up to 135 to 140.
Next, we would tally the number of swimming times that fall into each interval and plot this information as bars on the histogram. The height of each bar represents the frequency of the interval.
Drawing the histogram helps in guessing the average by allowing us to visually see the distribution of the data. Based on the shape of the histogram, we can make a guess as to where the average is likely to fall. If the histogram is symmetrical, the average is likely to be in the middle. If it is skewed, the average will be closer to the side with the longer bar. By drawing a vertical line labeled "My Guess" on the histogram, we can see how close our guess was to the actual average.
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This is a variation of problem 10 on page 141 of our textbook. You may want to solve this problem only after you solve the next one, which is the general version of this one. On the other hand, you also may want to solve this one first, and when solving the general one compare your evolving solution against your results in this problem.
A child is flying a kite. If the kite is 105 feet above the child's hand level and the wind is blowing it on a horizontal course at 6 feet per second, the child is paying out cord at _____________ feet per second when 165 feet of cord are out. Assume that the cord remains straight from hand to kite. (If you have ever flown a kite you know that this is an unrealistic assumption.)
For a solution of this problem (after the set closes) see the next problem.
Answers
The child is paying out the cord at a rate of 0 feet per second when 165 feet of cord are out.
What is Differential equation?A differential equation is an equation that contains one or more functions with its derivatives.
The distance between the kite and the child's hand level "d". Then, using the Pythagorean theorem, we can write:
d² + 105²= (165)²
d² = 165² - 105²
d = 129.1 ft
The length of the cord is increasing at a rate of 6 feet per second
Let us consider the length of the cord "L".
d² + L² = (165)²
Differentiating both sides with respect to time (t), we get:
2d(dd/dt) + 2L (dL/dt) = 0
We want to find (dL/dt) when L = 165 and d = 129.1.
(dL/dt) = -d × (dd/dt) / L
Substituting in the values we found for d and L, we get:
(dL/dt) = -(129.1 ft) × (0 ft/s) / (165 ft) = 0 ft/s
Therefore, the child is paying out the cord at a rate of 0 feet per second when 165 feet of cord are out.
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Eighth grade V.3 Area and perimeter: word problems 6MY
You have
A
Keith has a tent that is 3 feet wide by 8 feet long. Keith wants to buy a plastic tarp to go
under the tent. The tarps are sold for $1.00 per square foot. How much would it cost to buy a
tarp that is the same size as Keith's tent?
Submit
Answers
The total cost to purchase a tarp that is the same size as Keith's tent is given as follows:
$24.
How to obtain the area of a rectangle?The area of a rectangle is given by the multiplication of the width and the length of the triangle, as follows:
A = lw.
The dimensions for the tarp in this problem are given as follows:
Width of 3 feet.Length of 8 feet.Hence the area is given as follows:
A = 3 x 8 = 24 square feet.
As the cost is $1.00 per square feet and there are 24 square feet, the total cost is given as follows:
$24.00.
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(GAME) You pay $1.00 to play a game that consists of rolling a colored die with three green sides, two red sides, and one blue side. A roll of a red loses. A roll of blue pays $6.00. A roll of green pays $2.00. What is the expected value of each game to the player? Round to the hundredths place.
Answers
The fair price to pay to play the game of rolling a colored die with three green sides, two red sides, and one blue side is; $2
How to Fair Price?
We are told that in the game of rolling the colored die;
- A roll of a red loses.
- A roll of blue pays 6.00.
- A roll of green pays 2.00.
Now, the best game to get the fairest price is to play; GGGRRB
Fair price = 2(3/6) + 6(1/6) + 0(2/6)
Fair price = $2
Help me out I have been staring at this for hours what’s the answer
Answers
Triangle OGD and triangle ATC are similar triangles by the criteria of Side - Angle - Sides.
Similar triangles:The set of triangles with the same shape but different sizes are known as similar triangles. For example, all the equilateral triangles are similar triangles.
We can determine similar triangles by using the following conditions
Angle-Angle Similarity condition
Side-Angle-Side Similarity condition
Side-Side-Side Similarity condition
Here we have
Triangle OGD and triangle ATC
From the given triangles
=> Side OD = Side AC [ Equal sides ]
=> m ∠O = m ∠ A [ Equal angles ]
=> m ∠G = m ∠T [ Equal angles ]
Hence, By the criteria of Side - Angle - Side given triangles are similar triangles.
Therefore,
Triangle OGD and triangle ATC are similar triangles by the criteria of Side - Angle - Sides.
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I’m not sure how to answer these questions can someone help
Answers
Step-by-step explanation:
14/16 = 7/8
3/12 = 1/4
16/28 = 4/7
Cylinder B is the image of cylinder A after dilation by a scale factor of 4. If the surface area of cylinder A is 137 km, find the surface area of cylinder B, the image.
Answers
Answer:
Correct option is C)
Given s= 7m, h=9 m
Lateral surface area = Area of the curved surface =2πrh=2×
7
22
×7m×9m=396m
2
Total surface area = Area of curved surface + Area of two circular surfaces
=2πrh+2πr
2
=396m
2
+2×
7
22
×7m×7m=(396+308)m
2
=704m
2
The surface area of cylinder B is 548 square km.
What is scale factor?A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).
The basic formula to find the scale factor of a figure is expressed as,
Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.
Given that, cylinder B is the image of cylinder A after dilation by a scale factor of 4.
The surface area of cylinder A is 137 km².
Then the surface area of cylinder B is 4×137
= 548 square km.
Therefore, the surface area of cylinder B is 548 square km.
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Set up, but do not evaluate, the integral that expresses the surface area obtained by revolving the curvey2=x2−x5around thex-axis fory⩾0and0⩽χ⩽1. Simplify as much as possible.π∫01x25x6−24x3+8dx
Answers
The surface area ranges from 0 to 1, and is equal to the integral of the circumference of a circle with a radius of x2x5 times.
An integral can be used to define the surface area gained by rotating the curve y2=x2x5 around the x-axis for y0 and 0x1. This integral represents the circumference, from 0 to 1, of a circle with radius x2x5 multiplied by. This can be expressed as x25x624x3+8 times the integral of from 0 to 1 for. When the given curve is rotated about the x-axis over the specified range of y and x, this integral will evaluate to the surface area achieved. This integral can be expressed in the simplest possible form as 01 x25x624x3+8 dx.
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A lot of 1000 components contains 300 that are defective. Two components are drawn at random and tested. Let A be the event that the first component drawn is defective, and let B be the event that the second component drawn is defective. Answer the following questions: a. Find P(A)= b. Find P(B|A)= c. Find P(A∩B)= d. Find P( Ac∩B)= e. Find P(B)=
Answers
The probability of A is 0.3, P(B|A) is 0.299, P(A∩B) is 0.3, P(Ac∩B) is 0.3 and P(B) is 0.3.
a. P(A) = The probability that the first component drawn is defective = Number of defective components/Total number of components
= 300/1000 = 0.3
b. P(B|A) = The probability that the second component drawn is defective given the first component is defective = Number of defective components remaining/Total number of components remaining
= (300-1)/(1000-1) = 0.299
c. P(A∩B) = The probability that both components are defective = Number of defective components/Total number of components
= 300/1000 = 0.3
d. P(Ac∩B) = The probability that the first component is not defective and the second component is defective = Number of defective components/Total number of components
= 300/1000 = 0.3
e. P(B) = The probability that the second component drawn is defective = Number of defective components/Total number of components
= 300/1000 = 0.3
The probability of A is 0.3, P(B|A) is 0.299, P(A∩B) is 0.3, P(Ac∩B) is 0.3 and P(B) is 0.3.
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can someone tell me how to find last three parts?
Answers
The population in the year 2000 is 1230 students.
The equation for the population, P, of the school t years after 2000 is P = 53t + 1389.
The population of the school in 2015 in 2025 students
How to find the population in the year 2000?The starting population in 2003 is 1389.
average population growth per year = 53
The population in the year 2000 will be:
number of year = 2000 - 2003 = -3 (3 years back)
population in the year 2000 = 1389 -3(53) = 1230
To find an equation for the population, P, of the school t years after 2000. We can write:
P = 53t + 1389
Using your equation, predict the population of the school in 2015:
t = 2015 - 2003 = 12
P = 53t + 1389
P = 53(12) + 1389
P = 2025 students
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igure the amount of concrete (in cubic yards) required to pour a floor slab of the following dimensions: 18' by 24' by 4".
Answers
The amount of concrete required to pour a floor slab of the following dimensions: 18′ × 24′ × 4′′ is 5.34 cu.yard.
What is a Cuboid ?A cuboid is a three dimensional shape , with 6 faces , each face is a rectangle.
The concrete can be considered as in the shape of a cuboid.
Length = 18
Breadth = 24'
Height = 4"
Volume of Cuboid = Length * Breadth * Height
Volume of the cuboid = 18 * 24 * 4 *12*12 *(0.0278)³
=5.34 cu.yard.
Therefore the amount of concrete required to pour a floor slab of the following dimensions: 18′ × 24′ × 4′′ is 5.34 cu.yard.
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Urgent: Pls help we find the right answer:(
Answers
The best description for this distribution is bimodal.
What is the Bimodal ?
Bimodal is a term used in statistics to describe a distribution with two modes, or peaks, in the frequency of occurrence of the values.
The distribution of the values: 3, 3, 5, 4, 3, 2, 5, 6, 5, 1 is best described as:
c. Bimodal
Bimodal means that the distribution has two modes, or peaks, in the frequency of occurrence of the values. In this case, the values 3 and 5 both have a high frequency of occurrence, forming two distinct modes in the distribution.
Therefore, the best description for this distribution is bimodal.
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Side 1/10 original length what fraction of the original surface area is the new surface area
Answers
The fraction of the original surface area to the new surface area is 1/100.
How to find the fraction of the original surface area to the new surface area?The scale factor is the size by which the shape is enlarged or reduced. It is used to increase the size of shapes like circles, triangles, squares, rectangles, etc.
Since the ratio of the new side to original length is 1/10.
Thus, the fraction of the original surface area to the new surface area will be the square of the ratio of the length. That is:
fraction of length = new length/ original = 1/10
fraction of area = (1/10)² = 1/100
fraction of area = new area/original area
1/100 = new area/original area
new area = 1/100 * original area
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Consider the following competing hypotheses: Hop=0, H₁0. The value of the test statistic is z = -3.38. If we choose a 5% significance level, then we
O reject the null hypothesis and conclude that the population mean is significantly different from zero
Answers
The required, we have strong evidence to suggest that the population means is not equal to zero.
What is the null hypothesis?The null hypothesis, denoted as H0, is a statistical hypothesis that assumes that there is no significant difference between a population parameter and a hypothesized value or between two or more population parameters.
Here,
If we choose a 5% significance level, this means that we are willing to reject the null hypothesis (Hop=0) if the probability of obtaining a test statistic as extreme as, or more extreme than, the observed value under the null hypothesis is less than 5%.
The observed value of the test statistic is z = -3.38. This means that the observed value is 3.38 standard deviations below the mean under the null hypothesis.
We can use a standard normal distribution table or calculator to find the probability of obtaining a z-score as extreme as -3.38 or less. The probability is approximately 0.0004, or 0.04%.
In other words, we have strong evidence to suggest that the population means is not equal to zero, and we can be 95% confident that the true population means falls within a certain range of values (based on the confidence interval).
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20. What area of the figure below if one square is 1cm x 1cm? a. 6 cm ² b. 8cm ² c. 10 cm². d. 12cm ²
Answers
The area of figure above is a) 6cm²
Square Area FormulaIn addition to the circumference, a square shape also has an area, where the area of a square is calculated by squaring the length of its side.
Formula: Area of square= s²
The question above, the side of square is 1 cm.
so the area of one small square is 1×1= 1cm²
Because the shape is contain of 6 small square, therefore the total area is 6×1cm²=6cm²
Square propertiesA square has the following properties
Has 4 equal sides Every angle formed by a side is a right angle Each diagonal bisects the angle formed by the sides The intersection of the diagonals forms a right angleLearn more about square at
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Which individual is eligible to use a 1040EZ form when filing a federal income
tax return?
A. Married person filing separately
B. Single person, with two dependents
C. Head of a household
D. Single person, with no dependents, who made $49,000 last year
Answers
Answer: A person who is eligible to use a 1040EZ form when filing a federal income tax return must meet certain criteria:
Must have taxable income of less than $100,000
Must not claim any dependents
Must only have wages, salaries, tips, taxable scholarship or fellowship grants, unemployment compensation, or Alaska Permanent Fund dividends, and your taxable interest is less than $1,500
Given these criteria, the correct answer is:
D. Single person, with no dependents, who made $49,000 last year.
Step-by-step explanation:
Give a precise and thorough example of a function with a minimum at a value where its derivative is undefined.
Answers
The required example of a function with a minimum at a value where its derivative is undefined is f(x) = |x|.
What are functions?Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
A function that has a minimum at a point where its derivative is undefined is the absolute value function. The absolute value function is defined as:
f(x) = |x|
At x = 0, the absolute value function has a minimum value of 0. However, the derivative of the absolute value function is undefined at x = 0, because the function is not differentiable there.
At x < 0, the absolute value function is decreasing and therefore has a negative derivative. At x > 0, the absolute value function is increasing and therefore has a positive derivative. At x = 0, the behavior of the function changes abruptly from decreasing to increasing, which makes the derivative undefined. Despite this, the absolute value function still has a minimum value of 0 at x = 0.
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Solve the following:
a)
4x3 2x + 7
Optional working+
b)
2x + 6 = 7x-
-
Optional wor
Answers
Subtract both sides by -2
4x3-2x=7
2x-3=7 then add 3 on both sides
2x=3+7
2x=10 and divide 2 by both sides to get x=5
Which expression calculates the time in hours a person takes to walk 35 miles at a speed of 5 miles/hour
35 miles
5 miles
(Hint: 5x =35)
1/1 Pt
7
hours
1 hour
circle which one we are using
or
D Time=
35 miles
S
5 miles/ hour
miles or hours???
Answers
An expression that calculates the time in hours a person takes to walk 35 miles at a speed of 5 miles/hour is: T = 35/5 = 7 hours.
What is speed?In Mathematics, speed is the distance covered by a physical object per unit of time. This ultimately implies that, speed can be measured by using the following unit of measurement;
Meter per seconds (m/s).Miles per hour (mph).Kilometers per hour (kph).How to calculate the speed?Mathematically, the speed of any a physical object can be calculated by using this formula;
Speed = distance/time
Making time the subject of formula, we have:
Time = distance/speed
Time = 35/5
Time = 7 hours.
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