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bija089 [108]
3 years ago
10

A runner can run 2 miles in 14 minutes. At this rate, how many miles can he run in 70 minutes?

Mathematics
1 answer:
igomit [66]3 years ago
4 0

Answer:

The answer is that the runner can run 10 miles in 70 minutes.

Step-by-step explanation:

To solve for the number of miles that the runner can run in 70 minutes, start by setting up the information given from the problem in the form of a proportion.

A proportion is an equation which defines that the two given ratios are equivalent to each other. In other words, the proportion states the equality of the two fractions or the ratios. In a proportion, if two sets of given numbers are increasing or decreasing in the same ratio, then the ratios are said to be directly proportional to each other.

The proportion for this problem will look like \frac{2 miles}{14 minutes}=\frac{x}{70  minutes}. (x) will be used as the variable for the number of miles that the runner can run in 70 minutes.  

To solve the proportion, start by cross multiplying to form an equation, and the equation will look like (14)(x)=(2)(70). Next, simplify the equation, which will look like (14)(x)=140. Then, solve the equation by dividing both sides of the equation by 14, and it will look like x=10. The final answer is that the runner can run 10 miles in 70 minutes.

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-4.3 + x equals 0 selected place on the number line to positive value of x​
Zanzabum

Answer:

x is equal to 4.3

Step-by-step explanation:

since it's -4.3 + x is equal to 0

you take -4.3 to the other side of the equal sign which makes it positive and x is equal to 4.3

6 0
3 years ago
As a student you are able to earn extra money by assisting your neighbors with odd jobs. If you charged $10.25 an hour for your
dsp73
Okay. so, to find the answer for this, you should set the equation as 10.25x = 8,425. "x" equals the number of hours. What you should do is divide each side by 10.25 to isolate the "x". When you do that 8,425/10.25, you get 821.951 and other numbers or 822 hours when rounded to the nearest whole number. x is approximately 822. You would have to work about 822 hours to earn $8,425.
6 0
3 years ago
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A line passes through the point (6, -8) and has a slope of -3/2
DENIUS [597]
Use y=mx + b, which is slope intercept form

b = y intercept(when x=0)
m = slope

You need to find the y intercept. Use your coordinates and substitute it in the slope intercept equation.

we use (6, -8)

y = mx + b

Then, -8 = -3/2(6) + b

-8 = -9 + b
1 = b

Thus,

y = -3/2x + 1


8 0
3 years ago
The amount of time, in hours, babies spent sleeping in two different nurseries is shown on the dot plots below.
azamat

Answer:

The babies in Nursery 2 spent more time napping.

Step-by-step explanation:

i had took a test and got it right

4 0
3 years ago
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What is the equation of the line that is parallel to the given line and passes through the point (−3, 2)?
enyata [817]
You forgot to include the given line.

We need the given line to find the slope. The slope of parallel lines are equal. So, the slope of the line of the equation you are looking for is the same slope of the given line.

I can explain you the procedure to help you to find the desired equation:

1) Slope

Remember that the slope-intercept equation form is y = mx + b where m is the slope and b is thye y-intercept.

If you clear y in every equation you get:

a) y = (3/4)x + 17/4 => slope = 3/4

b) y = (3/4)x + 20/4 = (3/4)x + 5 => slope = 3/4

c) y = -(4/3)x - 2/3 => slope = -4/3

d) y = (-4/3)x - 6/3 = (-4/3)x - 2 => slope = -4/3

So, you just have to compare the slope of the given line with the above slopes to see which equations are candidates.

2) Point (-3,2)

You  must verify which equations pass through the point (-3,2).

a) 3x - 4y = - 17

3(-3) - 4(2) =  -17
- 9 - 8 = - 17
- 17 = - 17 => it is candidate

b) 3x - 4y = - 20

- 17 ≠ - 20 => it is not candidate

c) 4x + 3y = - 2

4(-3) + 3(2) = - 2
-12 + 6 = - 2
-6 ≠ -2 => it is not candidate

d) 4x + 3y = - 6

   -6 = - 6 => it is candidate

3) So, the point (-3,2) permits to select two candidates

3x - 4y = - 17, and 4x + 3y = -6.

4) Yet you have to find the slope of the given equation, if it is 3/4 the solutions is the equation 3x - 4y = -17; if it is -4/3 the solution is the equation 4x + 3y = -6.
6 0
3 years ago
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