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GaryK [48]
3 years ago
5

Assume running consumes 100 calories per mile. If you run 10-minute miles, what is your average power output, in watts, during a

1-hour run?
Mathematics
1 answer:
Aleks04 [339]3 years ago
4 0
We are given with the rate of calories burnt out through running of <span>100 calories per mile. If 10 miles is ran, we get the total calories burnt is </span><span>100 calories per mile * 10 miles equal to 1000 calories. Power (watts) is equal to Joules per second. 1000 calories is equal to 4185.8 Joiules. In an hour run- the power is 69.76 Watts</span>
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a machine made 2 2/6 pencils in 3 3/4 minutes. how many pencils would the machine have made after/minute
erma4kov [3.2K]

<em><u>Question:</u></em>

A machine made 2 2/6 pencils in 3 3/4 minutes. How many pencils would the machine have made after 9 minutes?

<em><u>Answer:</u></em>

\frac{504}{90}\ or\ 5.6 pencils is made after 9 minutes

<em><u>Solution:</u></em>

Given that,

A machine made 2 2/6 pencils in 3 3/4 minutes

Which means,

2\frac{2}{6} = \frac{14}{6}

3\frac{3}{4} = \frac{15}{4}

Let "x" be the number of pencils made in 9 minutes

Therefore,

\frac{14}{6}\ pencils = \frac{15}{4}\ minutes\\\\x\ pencil = 9\ minutes

This forms a proportion and we can solve by cross multiplying

\frac{14}{6} \times 9 = \frac{15}{4} \times x\\\\x = \frac{14}{6} \times 9 \times \frac{4}{15}\\\\x = \frac{504}{90}\\\\x = 5.6

Thus, \frac{504}{90}\ or\ 5.6 pencils is made after 9 minutes

7 0
3 years ago
There are 90 seniors in a high school. 60 of the seniors take mathematics, 35 of them take science and 15 take both classes. How
zysi [14]

Answer: The answer is 10 students.

Step-by-step explanation: Well first you know 15 take both so you can just subtract 15 from one of the numbers because the same student does not need to be counted twice. I chose to do 35-15 which equals 20. Then you do 60+20 to get 80. Lastly you subtract 80 from 90 to get 10.

I'm gonna go ahead and say I may not be correct because I don't know everything, but I answered to my best ability and got 10.

4 0
3 years ago
Read 2 more answers
What is the image of N for a 300° counterclockwise rotation about the center of the regular hexagon? Will give brainiest only if
OLEGan [10]

Answer:

H

Step-by-step explanation:

here, the question says that the given regular hexagon needs to be rotated counter clockwise 300°, considering the edges labels, each movement from one edge to other is 60° as 360/6 =60.

focus on N and move on anti clockwise.

When N rotates anti clockwise about center from original to position G, is 60°,

when N moves on anti clockwise about center from original to position A is 120°.

similarly, to X is 180°, to E is 240° and to H is 300°.

so, the new position of N when rotated anti clockwise about origin of the hexagon will be at H.

6 0
3 years ago
15<br> G<br> F<br> H<br> 4) What is the value of x?<br> A) 10<br> B) 12<br> C) 15<br> D) 17
coldgirl [10]

Answer:

C) 15

Step-by-step explanation:

This is an isosceles triangle (two of the three angles are equal) so two of the sides are also equal. x is the same length as 15.

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2 years ago
PLEASE I AM MARKING BRAINLEST!
Artemon [7]

Answer:

5, 9,13,17

Step-by-step explanation:

5 +4 +4+4

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