The figure below is dilated with the center of dilation at the origin and a scale factor of 1/2. What are the coordinates of the image of point R after this transformation?

Using proportions, it is found that the speed of the runners are of 16 mph and of 20 mph.

A proportion is a fraction of a total amount.

After 30 minutes, the runners are 2 miles apart, hence the second runner is 4 miles per hour faster than the second, that is:

[tex]v_2 = v_1 + 4[/tex].

The first runner's speed is 4/5 of the speed of the second runner, hence:

[tex]v_1 = \frac{4}{5}v_2[/tex]

[tex]v_1 = \frac{4}{5}(v_1 + 4)[/tex]

[tex]\frac{1}{5}v_1 = \frac{16}{5}[/tex]

[tex]v_1 = 16[/tex]

[tex]v_2 = 16 + 4 = 20[/tex]

Hence, the speed of the runners are of 16 mph and of 20 mph.

More can be learned about proportions at https://brainly.com/question/24863377

Answer:

Using proportions, it is found that the speed of the runners are of 16 mphand of 20 mph.What is a proportion?A proportion is a fraction of a total amount.After 30 minutes, the runners are 2 miles apart, hence the second runner is 4 miles per hour faster than the second, that is:.The first runner's speed is 4/5 of the speed of the second runner, hence:Hence, the speed of the runners are of 16 mph and of 20 mph.

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

25% of 4 or 4 divided by 4 is 1. 1+4 is 5

Answer:

The answer is B

Step-by-step explanation:

It becomes 8y = -3x + 12.

Then divide by 8 on both sides.

y = -0.375+1.5

This you can turn it into a fraction which is y = -3/8 + 1.5

Answer:

the slope is 3

Step-by-step explanation:

use the equation

y2 -y 1 / x2 - x1

to find the slope

6 - (-6) / 3 - (-1)

6 + 6 / 3 + 1

12 / 4

3

1. Divide 4 both sides

2. Graph the inequality

Answer:

A

Step-by-step explanation:

You would move the decimal back only 2 places.

Answer:

0.17

Step-by-step explanation:

All you do is divide by 100.

Answer:

x=6

Step-by-step explanation:

14÷(-2)=-7

-42÷(-7)=6

Step-by-step explanation:

The figure shows an isosceles triangle. The two sides of an isosceles triangle are equal and the two base angles are equal. Since line AD is the angular bisector of the top Angle of an isosceles triangle, AD is also the base midline and base perpendicular bisector of the triangle.

So x=90 degrees.

The angles of a triangle add up to 180 degrees. So ∠DAC=(180-90-47)=43 degrees

y=43 degrees.

Answer:

y = 43°

x = 90°

Step-by-step explanation:

x = 90°(right angle)

y + 47 + x = 180(base angles of isosceles are equal)(all angles of triangle are equal)

y + 47 + 90 = 180

y + 137 = 180

y = 180 - 137

y = 43°

The total volume of alloy in the post is about 900 cm³

Volume is the amount of space occupied by a three dimensional shape or object.

Volume = length * width * height

The right rectangular prism measuring 9 cm by 9 cm by 28 cm. The alloy is 1.5 cm thick.

Length = 9 - 1.5 - 1.5 = 6 cm, width = 9 - 1.5 - 1.5 = 6 cm, height = 28 - 1.5 - 1.5 = 25 cm. Hence:

Volume = 6 * 6 * 25 = 900 cm³

The total volume of alloy in the post is about 900 cm³

Find out more on volume at: https://brainly.com/question/12410983

Answer:

1837.5

Step-by-step explanation:

I jut did it

Answer:

The answer is 4m. I used my graphing calculator and this is how I got it step by step. Look at the pic.

Step-by-step explanation:

Using the Fundamental Counting Theorem, it is found that there is a 0.2 = 20% probability of choosing a random number that starts with 9 from this group.

It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

In this problem, we have that:

Then, the total number is:

N = 5 x 4 x 8 x 7 x 6 x 5 = 33600.

Starting with 9, we have that:

Then:

N9 = 1 x 4 x 8 x 7 x 6 x 5 = 6720.

A probability is given by the number of desired outcomes divided by the number of total outcomes, hence:

p = N9/N = 6720/33600 = 0.2.

0.2 = 20% probability of choosing a random number that starts with 9 from this group.

To learn more about the Fundamental Counting Theorem, you can check https://brainly.com/question/24314866

x+x+x= 36 what about 3x you divide by the co_efficient of 3 which you will get 12.....(so 12-1 on your left and +1 on your right hand side....so the numbers are ( 11+12+13=36)

Answer:

x = 7.5

Step-by-step explanation:

Use algebraic manipulation (and remember that anything you do to one side must be done to the other, in most cases):

34 + 2x = 49

-34          -34  

2x = 49 - 34

2x = 15

x = 7.5

Answer:

(6-5)/4= 1÷4=0.25

Step-by-step explanation:

Answer:

The correct answer is 36 ounces

Step-by-step explanation:

Answer:

-2,-2 i think

Step-by-step explanation:

Answer:

(2x − 5)(2x + 5)(x + 2)

Step-by-step explanation:

i hope this helps

Answer:

x = 57°

Step-by-step explanation:

23° + 100° + x = 180°

123° + x = 180°

-123         -123

x = 57°

Hope this helps!

Answer:

20

Step-by-step explanation:

if two trapezoids are the same proportions, and one is 3cm, and the other is 15, the makes that second 5 times larger than the first. therefore, the height is also 5 times larger

4 x 5=20

Answer: B

Step-by-step explanation:

For a relation to be a function, each input value can only have one corresponding output.

Hey there!

-√4x = 100

WELL….
-√4 = -2

NEW EQUATION:
-2x = 100

DIVIDE -2 to BOTH SIDES

-2x/-2 = 100/-2

CANCEL out: -2/-2 because it give you 1

KEEP: 100/-2 because it help solve for the x-value (mainly give you it)

NEW EQUATION: x = 100/-2

SIMPLIFY IT!

x = -50

Therefore, your answer is: x = -50

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

B-X=-50

Step-by-step explanation:

John should use the closed circle when representing the inequality x ≤ 10.

An inequality is an expression that shows the relationship between two or more numbers and variables.

Given the inequality x ≤ 10. To graph this inequality, we need to represent it on a number line.

When representing on a number line, closed circle is used to represent ≤ or ≥ while open circle represents < or >.

John should use the closed circle when representing the inequality x ≤ 10.

Find out more on inequality at: https://brainly.com/question/24372553

The standard deviation for this set of population data is 6.9. Then the correct option is A.

It is the measure of the dispersion of statistical data. Dispersion is the extent to which the value is in a variation.

The number of cars sold at a dealership over several weeks is given below.

14, 23, 31, 29, 33.

Then the mean will be

[tex]\mu = \dfrac{14+23+31+29+33}{5}\\\\\\\mu = \dfrac{130}{5}\\\\\\\mu = 26[/tex]

Then the standard deviation is given as

[tex]\sigma = \sqrt {\dfrac{\Sigma _{i=1}^n(x_i - \mu)^2}{n}}\\\\\\\sigma = \sqrt{\dfrac{(14-26)^2+ (23-26)^2+ (31-26)^2+ (29-26)^2+ (33-26)^2}{5}}\\\\\\\sigma = \sqrt{\dfrac{236}{5}}\\\\\\\sigma = \sqrt{47.2}\\\\\\\sigma = 6.87 \approx 6.9[/tex]

The standard deviation for this set of population data is 6.9. Then the correct option is A.

More about the standard deviation link is given below.

https://brainly.com/question/12402189

Answer:

Step-by-step explanation:

Answer:

take a picture of the whole question I'm not sure if you wrote the second is right,where is "X" in the second equation?

Step-by-step explanation:

take a picture of the whole question I'm not sure if you wrote the second is right,where is "X" in the second equation?

yes 7 - 11 = -4

so 7x - 11x = -4x

Answer:

3.16

Step-by-step explanation:

Because 4 3/4 divided by 2/3 is 3.16666666667 and 3.16666666667 simplified is 3.16. So 3.16 is the answer.

Hope this helps!

Answer:

x^2

Step-by-step explanation:

(x^4/3)(x^2/3)

When we multiply the exponents with the same base, we add the exponents

x^(4/3+2/3)

x^(6/3)

x^2

Answer:

4

Step-by-step explanation:

The arithmetic progression terms, are

(2p+1), 13, (5p-3).

First find the distance between 2p+1 and 13.

[tex]13 -( 2p + 1 )= - 2p + 12[/tex]

Then find distance between 13, and 5p-3

[tex]5p - 3 - ( 13) = 5p - 16[/tex]

Terms in a AP progression should have same distances as each other.

[tex]5p - 16 = - 2p + 12[/tex]

[tex]7p = 28[/tex]

[tex]p = 4[/tex]

Answer:

Given 2p+1, 13 , 5p-3 are in AP. P is 4.