22 points. The windows on the top row of a building are similar to the windows on the bottom row. Rectangle ABCD is similar to rectangle PQRS. If AB = 60 inches, what is PQ?


A. 60 in.
B. 40 in.

C. 30 in.
D. 20 in.

Answer:

24 blue cars

Step-by-step explanation:

In this problem, one is given the ratio of red to blue cars in the parking lot. One is given the actual number of red cars, and one is asked to find the number of blue cars. One can set up a proportion; ratio to actual, then solve to find the number of actual blue cars using the method of cross-products. One can set up the proportion using the ratios, but it is easier to express the proportion as the equality of two fractions. Thus, the following equation can be formed, let the parameter (x) represent the actual amount of blue cars;

[tex]\frac{red}{blue}= \frac{5}{3} = \frac{40}{x}[/tex]

Cross products,

[tex]5x = 120[/tex]

Inverse operations,

[tex]x = 24[/tex]

Answer:18 days

Step-by-step explanation:

Answer:

18 days to consume the apple

Step-by-step explanation: 18 because it takes 3 days for a half so six days equals 1 whole apple multiply that by 3 an you'll get 18

Answer:

last one

Step-by-step explanation:

Answer: 166 2/3m

Step-by-step explanation:

Area of a rectangle = length times width

Length: 16 2/3

To find the width, multiply it by 3/5.

w = 16 2/3 ·  3/5

w = 10

Then, multiply the length by the width.

a = l · w

a = 16 2/3 · 10

a = 166 2/3m

Answer:

A: 30

B: y=30x+14

Step-by-step explanation:

A

The rate of change, or slope, can be found from any two points (x1,y1) and (x2,y2), using the formula (y2-y1)/(x2-x1).

Let's use the points (0,14) and (2.2,80):

slope = (y2-y1)/(x2-x1)

= (80-14)/(2.2-0)

= 66/2.2

= 30

B

The slope-intercept form of a linear equation is y=mx+c, where x and y are any co-ordinates on the line, m is the slope and c is the y-intercept. Since we already know our slope (30), we can just plug this and some point on the line (eg (0,14)) into the equation to find c:

y=mx+c

14=(30)(0)+c

14=0+c

c=14

Therefore our equation is y=30x+14

Answer:

8  * X = 56

Step-by-step explanation:

8  * X = 56

Answer:

1/8

Step-by-step explanation:

There are 24 coins total. 3 of them are quarters. So Jillian has a 3 in 24 chance of picking up a quarter. Simplifying 3/24 we get 1/8

The probability of randomly picking a quarter is P = 0.125

If we assume that all the coins have the same probability of being randomly picked, the probability of picking a particular type of coin is equal to the quotient between the number of coins of that type that we have, and the total number of coins.

In this case, we have 3 quarters, and a total of:

T = (6 + 7 + 8 + 3) = 24

Then the probability of randomly picking a quarter is:

P = 3/24 = 0.125

If you want to learn more about probability, you can read:

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Answer:

36pie inch²

Step-by-step explanation:

Answer attached

Hope it helps :)

Answer:

A, 1/2*b*h*sin  

A, 1/2*12*8*sin 62

=43.3

Also use symbolab for this kid equations

Step-by-step explanation:

Answer: The point at which the two axes intersect is called the origin. ... The intersecting x- and y-axes divide the coordinate plane into four sections. These four sections are called quadrants. Quadrants are named using the Roman numerals I, II, III, and IV beginning with the top right quadrant and moving counter clockwise.

Step-by-step explanation:

A grid with 4 quadrants and 2 axes is called as cartesian plane.

The cartesian plane is defined as a two-dimensional coordinate plane, which is formed by the intersection of the x-axis and y-axis.

A grid is a framework of spaced bars that are parallel to or cross each other.

Learn more about grid here

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Answer:

Quincy's claim is correct.

Step-by-step explanation:

Margin of error of a confidence interval:

The margin of error of a confidence interval decreases is the sample size increases, that is, if the sample size increases, the width of the interval decreases.

In this question:

Sample size of increases to 30 from 24, which means that the width of the interval will decrease.

Quincy's claim is correct.

Answer:

Step-by-step explanation:

. -6x - 2(0) = - 18. -6x = -18. x = 3 Tht

Answer:

x=5

Step-by-step explanation:

0=15-3x, then -15=-3x, divide the -15 by-3 and the answer is x=5

Answer:

The rocket will hit the ground after 113.28 seconds.

Step-by-step explanation:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

[tex]ax^{2} + bx + c, a\neq0[/tex].

This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:

[tex]x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}[/tex]

[tex]x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}[/tex]

[tex]\Delta = b^{2} - 4ac[/tex]

The height of a rocket, after t seconds, is given by:

[tex]h(x) = -16x^2 + 1812x + 59[/tex]

Using this equation, find the time that the rocket will hit the ground.

This is x for which [tex]h(x) = 0[/tex]. So

[tex]-16x^2 + 1812x + 59 = 0[/tex]

Then [tex]a = -16, b = 1812, c = 59[/tex]

[tex]\Delta = (1812)^2 - 4(-16)(59) = 3287120[/tex]

[tex]x_{1} = \frac{-1812 + \sqrt{3287120}}{2*(-16)} = -0.03[/tex]

[tex]x_{2} = \frac{-1812 - \sqrt{3287120}}{2*(-16)} = 113.28[/tex]

The rocket will hit the ground after 113.28 seconds.

Answer:

Step-by-step explanation:

Multiply −12y(9y − 7).

Answer:

1. Supplementary angles

2.  alternate exterior

3. verticle angles

4. alternate interior

The box matches the numbers. 1 is the answer in the first box, and so on.

Let me know if you have any questions

Answer:

28 ft

Step-by-step explanation:

i used my fingers

is there supposed to be an image?? (comments, ill give answer if not, im

just confused)

Answer:

264

Step-by-step explanation:

72 divided by 3= 24

24x11=264

Answer:

(2,-4)

hope this helps

Step-by-step explanation:

Answer:

slope: 4/3

y-intercept: -3

Step-by-step explanation:

the number before x is the slope.

the number at the end of the equation is the y-intercept.

Answer:

0.74 cents each unit piece

Step-by-step explanation:

2.22 ÷ 3 = 0.74

Your overall grade, rounded to the nearest hundredth, is approximately 86.35%.

To calculate your overall grade, we need to assign weights to each category and then calculate the weighted average based on your scores.

Let's assume your scores in each category are as follows:

Tests: 85%

Quizzes: 90%

Projects: 92%

Participation: 80%

Final Exam: 88%

Now, let's calculate the weighted average:

Tests: 15% weight × 85% score = 12.75

Quizzes: 10% weight × 90% score = 9.00

Projects: 35% weight × 92% score = 32.20

Participation: 35% weight × 80% score = 28.00

Final Exam: 5% weight × 88% score = 4.40

Overall Grade = Sum of weighted scores / Total weight

Overall Grade = (12.75 + 9.00 + 32.20 + 28.00 + 4.40) / 100

Overall Grade ≈ 86.35%

Therefore, your overall grade, rounded to the nearest hundredth, is approximately 86.35%.

for such more question on grade

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Answer:

the answer is d

Step-by-step explanation:

I just took the test

Answer:

36 if the posters have 3 corners

Step-by-step explanation:

you would just multiply the corners by 6

Answer:

b/c

Step-by-step explanation:

15 it was rigth  in khan academy if u got the letter one its A

The circumference of the fountain will be 43.98 square feet. Thus, the correct option is A.

It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

Let d be the diameter of the circle. The circumference of the circle will be given as,

C = πd units

The diameter of the circular fountain is 14 feet. Then the circumference is calculated as,

C = π x 14

C = 43.98 square feet

Thus, the correct option is A.

More about the circumference of a circle link is given below.

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Answer:

(a) Always true

Step-by-step explanation:

In the case when there is a matrix of coefficient for a homogeneous system for n linear equations so it does not have an opposite and then the system would be have the infinite various solutions

So this is always true as in this it can be unique test or infinite.

So according to the given situation, the option a is correct

Answer:

1/2

Step-by-step explanation:

Scale factor = (new figure measurement)/(original figure measurement)

Find IP using pythagorus

IP²=(y[tex]_{I}[/tex]-y[tex]_{P}[/tex])²+(x[tex]_{I}[/tex]-x[tex]_{P}[/tex])²

IP²=(4-(-4))²+(4-2)²

IP²=8²+2²

IP²=68

IP=[tex]\sqrt{68}[/tex]

Find I'P' using pythagorus

I'P'²=(y[tex]_{I'}[/tex]-y[tex]_{P'}[/tex])²+(x[tex]_{I'}[/tex]-x[tex]_{P'}[/tex])²

I'P'²=(2-(-2))²+(2-1)²

I'P'²=4²+1²

I'P'²=17

I'P'=[tex]\sqrt{17}[/tex]

Scale factor = (new figure measurement)/(original figure measurement)

=[tex]\sqrt{17}[/tex]/[tex]\sqrt{68}[/tex]

=1/2

Answer: greater than 0.3

Step-by-step explanation:

On edge

The margin of error for a 95% confidence level will be greater than 0.3.

A random population parameter is likely to be included in a confidence interval, which is a range of values that is limited by the statistic's mean. The confidence level is the percentage of probability, or certainty, that, after repeated random sample draws, the confidence interval would include the true population parameter.

Given:

A confidence level is 95%.

The formula to calculate the margin of error:

The margin of error = Z x S/√n.

Where S is the standard deviation and n is the sample size.

The corresponding z-score of the confidence level is 95%.

So, the margin of error will be always greater than 0.3.

Therefore, the margin of error will be always greater than 0.3.

To learn more about the confidence interval;

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