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3 years ago

Mark runs 3 miles in 15 minutes. At that rate, how far will he run in 45 minutes?

Mathematics

1 answer:

nekit [7.7K]3 years ago

8 0

Answer:

If he follows the rate, then at 45 minutes, he will have ran 9 miles.

Step-by-step explanation:

Hope it helps!

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What is the value of x so that the line segment with endpoints W(x, −2) and X(5, −4) is parallel to the line segment with endpoi

coldgirl [10]

Answer:

x equals six start fraction one over two end fraction

Step-by-step explanation:

Segments which are parallel have the same slope. Find the slope of of YZ. Then using that value, find the slope WX and solve for the value of x.

Slope of YZ is:

$m = \frac{y_2-y_1}{x_2-x_1}=\frac{2-6}{2-5}=\frac{-4}{-3}=\frac{4}{3}$

Since they are parallel, then WX has a slope of 4/3 too.

Slope of WX is:

$m = \frac{y_2-y_1}{x_2-x_1}\\\\\frac{4}{3}=\frac{-2--4}{x-5}\\\\\frac{4}{3}=\frac{2}{x-5}\\\\\frac{4}{3} (x-5) = 2\\\\4x -20=6\\\\4x = 26\\\\x = 6\frac{1}{2}$

5 0

3 years ago

at the dade county fair, the williams family bought 6 burgers and 4 gatorades for $14.10. the jackson family bought 3 burgers an

torisob [31]

Answer:

The cost of a burger is $1.65 and the cost of a gatorade is $1.05.

Step-by-step explanation:

We can solve this question using a system of equations.

I am going to say that:

x is the price of a burger.

y is the price of a gatorade.

6 burgers and 4 gatorades for $14.10

This means that $6x + 4y = 14.10$

3 burgers and 4 gatorades for $9.15.

This means that $3x + 4y = 9.15$

Will write 4y as a function of x.

$4y = 9.15 - 3x$

Replacing in the first equation:

$6x + 4y = 14.10$

$6x + 9.15 - 3x = 14.10$

$3x = 4.95$

$x = \frac{4.95}{3}$

$x = 1.65$

And

$4y = 9.15 - 3x$

$4y = 9.15 - 3*1.65$

$4y = 4.2$

$y = \frac{4.2}{4}$

$y = 1.05$

The cost of a burger is $1.65 and the cost of a gatorade is $1.05.

6 0

3 years ago

How to solve -5 -15-25 - x - 100<br> What is x=

Airida [17]

Answer:

-145

Step-by-step explanation:

-5-15-25-x=100

First, get all the numbers(including 100) on one side and x on the other side(make sure x is POSITIVE, not negative)

-5-15-25-100 = x

Two negatives = addition

-5 - 15 = -20

-25 - 100 = -125

Now add, 20 and 125, and keep the negative

-125 - 20 = -145

7 0

4 years ago

Read 2 more answers

13 fasteners cost 78 cents find the cost for purchasing 4, 687 fasteners

netineya [11]

First divide 4687 by 13 and then multiply the answer by 0.78. The answer would be:

4687÷13= 360.5384615

360.5 × 0.78 = $281.22

8 0

2 years ago

What is the y-intercept of the graph below? A. (0, 4) B. (0, -2) C. (0,2) D. (0,4)

irga5000 [103]

Answer:

C. (0,2)

the line goes through y 2 at x 0

3 0

4 years ago

Read 2 more answers