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Ira Lisetskai [31]
3 years ago
12

Assume running consumes 91 calories per mile. If you run 8-minute miles, what is your average power output, in watts, during a 2

-hour run?
Mathematics
1 answer:
avanturin [10]3 years ago
3 0

Answer:

0.79 Watts

Step-by-step explanation:

2 hours is 2 * 60 = 120 minutes

If you take 8 minutes per mile, you can run:

120/8 = 15 miles in 2 hours

Per mile calories consumption is 91, so in 15 miles:

91 * 15 = 1365

Average Power Output is Energy by Time

Also, calories to joules is:

1 Calorie = 4.184 Joules

So 1365 calorie is:

1365 * 4.184 = 5711.16 Joules

and 2 hours in seconds is 2 * 60 * 60 = 7200 seconds

Now

Average Power Output = 5711.16/7200 = 0.79 Watts

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Josiah and Kiri are each saving money.
butalik [34]

Answer:

A.Josiah

5×4= 20+100=120

10×4=40+40=80

120 is more than 80

5 0
2 years ago
A drawer contains 4 white socks, 5 black socks, and 3 brown socks. Find the probability that...
IRINA_888 [86]

Answer:

5/12

7/12

125/36 = 3,47%

50/11 = 4,54%

Step-by-step explanation:

Probability a black sock is selected when a person chooses 1 sock = 5/12

Probability a white or brown sock is selected when a person chooses 1 sock =

7/12

Probability  a person chooses 3 socks and selects a white first, a black second, and a brown last if the socks are replace = (4/12 * 5/12 * 3/12)*100 =125/36 = 3,47%

Pobability  a person chooses 3 socks and selects a white first, a black second, and a brown last if the socks are NOT replace = (4/12 * 5/11 * 3/ 10)*100 = 50/11 = 4,54%

3 0
3 years ago
Write an equation perpendicular to the line y = 3x + 5 through the point (6, -5). State your answer as y=mx+b.
liubo4ka [24]

Answer:

y=(-1/3) x - 3

Step-by-step explanation:

A line that is perpendicular to it has a slope that is an opposite reciprocal, which in this case is -1/3.  Now you use point slope form which is y-y1=m(x-x1) that would be y+5=-1/3(x-6).  Distribute the -1/3 and get y+5= -1/3 x+ 2.  Subtract 5 from both sides and get y=-1/3 x - 3

3 0
3 years ago
If you have $11 and you spend $7 on a sandwich, drink, and chips, what fraction of your money did you spend?
larisa86 [58]

Answer:

Step-by-step explanation:

u had 11 and u spent 7

7/11 <=== the fraction of money u spent is 7 out of 11

8 0
3 years ago
Read 2 more answers
Write an equation of the line that passes through (0 0) and (2 6)
fiasKO [112]

Answer:

y = 3x

Step-by-step explanation:

Slope equation:

y2 - y1

--------

x2 - x1

----------------------------------------------------------------------------------------------------------------

         6 - 0          6

m = ----------- =   ----- = 3

         2 - 0           2

Your slope is 3.

----------------------------------------------------------------------------------------------------------------

Equation:

y = mx + b

Plug in the slope and you get:

y = 3x + b

----------------------------------------------------------------------------------------------------------------

Now to find b, you can use either coordinate point. So I will show you both ways :)

<u>(0,0)</u>                                                                     <u>(2,6)</u>

0 = 3(0) + b                                                     6 = 3(2) + b

Multiply 0 and 3                                           Multiply 2 and 3

0 = 0 + b                                                         6 = 6 + b

Subtract 0 to 0                                            Subtract 6 from 6

0 = b                                                                    0 = b

There is no y-intercept

----------------------------------------------------------------------------------------------------------------

Your answer: y = 3x

Hope this helped :)

8 0
2 years ago
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