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Anna [14]
3 years ago
13

If a wheelchair-marathon racer moving at 13.1 miles per hour expends energy at a rate of 645 calories per hour, how much energy

in calories would be required to complete a marathon race (26.2 miles) at this pace
Mathematics
1 answer:
Anna71 [15]3 years ago
6 0

Answer:

1290 calories

Step-by-step explanation:

Given: The racer moves at 13.1 miles per hour expends energy at a rate of 645 calories per hour.

To find: Energy in calories, required to complete a marathon race 26.2 miles at this pace.

Solution: We have,

The racer moves at 13.1 miles per hour.

The racer expends energy at a rate of 645 calories per hour.

So, energy expended while moving 13.1 miles =645 calories.

Now, energy expended while moving 1 mile =\frac{645}{13.1} calories.

So, energy expended while moving 26.2 miles =\frac{645}{13.1}\times 26.2=645\times 2=1290 calories.

Hence, 1290 calories of energy is required to complete a marathon race 26.2 miles at this pace.

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What is the equation of this graphed line?
barxatty [35]

Answer:

y=-\frac{1}{3}x-5

Step-by-step explanation:

Given:

The two points on the line are:

(x_1,y_1)=(-6,-3)\\(x_2,y_2)=(6,-7)

Now, for a line with two points on it, the slope of the line is given as:

m=\frac{y_2-y_1}{x_2-x_1}

For the points (x_1,y_1)=(-6,-3)\ and\ (x_2,y_2)=(6,-7), slope is:

m=\frac{-7-(-3)}{6-(-6)}\\m=\frac{-7+3}{6+6}\\m=\frac{-4}{12}=-\frac{1}{3}

Now, for a line with slope 'm' and a point (x_1,y_1) on it is given as:

y-y_1=m(x-x_1)

Plug in all the values and determine the equation of the line. This gives,

y-(-3)=-\frac{1}{3}(x-(-6))\\\\y+3=-\frac{1}{3}(x+6)\\\\y+3=-\frac{1}{3}x-\frac{1}{3}\times 6\\\\y+3=-\frac{1}{3}x-2\\\\y=-\frac{1}{3}x-2-3\\\\y=-\frac{1}{3}x-5

Therefore, the equation of the line is:

y=-\frac{1}{3}x-5

4 0
3 years ago
In apirl is rained 1/4 of a inch on 15 diffret day how many inches of rain fell
Ne4ueva [31]

In 15 diffret days 15/4 inches of rain fell in April month if every day rained 1/4 of a inch .

How to find the rain fell in 15 diffret days ?

We know that rain in every day is 1/4 of a inch

So for 15 days

1/4+1/4+1/4+......15times\\=15/4

So in 15 diffret days in April rain fell is 15/4 inches.

Learn more about the rain fall is here :

brainly.com/question/28049911

#SPJ4

8 0
2 years ago
I need help ,,, and tahnks☺
Mashcka [7]
Pythagora: 20^2=(4x)^2+(3x^2)
400=16x^2+9x^2
x^2=400/25
x^2=16
x=4
6 0
3 years ago
Read 2 more answers
I need help! I forgot how to do this!! Please help!
Dovator [93]

First change the mixed fraction into an improper fraction

7 1/2 = 15/2

Next, change multiply 2 to both numerator and denominator

15 x 2 = 30

2 x 2 = 4

30/4

Each piece needs 3/4 of an inch. Divide 30 with 3

30/3 = 10

c) 10 pieces is your answer

hope this helps

8 0
3 years ago
Read 2 more answers
Estimate 80,767 - 37,291 by first rounding each number to the nearest thousand.
N76 [4]

Answer:

44000

Step-by-step explanation:

Given the following question:

80767-37291

To estimate by the nearest thousand, we have to look at the thousand's place value and then look at the number next to it, to see if it's greater than five.

80767-37291

80767

7 > 5

81000

37291

2 < 5

37000

81000-3700=44000

=44000

Hope this helps.

6 0
2 years ago
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