One week a student exercised 2 hours at school and another 2/3 of an hour at home. if 1/6 of the students total exercise came from playing basketball, how much time did the student spend playing basketball that week?

(roughly) 27

Step-by-step explanation:

The student spent 2 2/3 hours exercising this week, which also transfers to 160 minutes. Divide this by 6 to find 1/6 of his/her time. The result is 26.67 (rounded), so roughly 27 minutes were spent on basketball. to check, you can multiply 26.67 by 6 to get 160.02, which rounds back to 160 minutes.

yes

step-by-step explanation:

yes

2 & 7

step-by-step explanation:

he climbs 300 ft/hr at a constant rate. the peak is at 1,500 ft.

when going up, he reaches 600 ft in 2 hours. remember, that he is going in a constant rate. divide 600 with 300:

600/300 = 2

assuming that he takes the same route back (meaning that it's a 1500 ft route back, you can solve.

note also that you are solving when he gets back to 600 ft after he reaches the peak.

first, find the amount of hours it takes to get up the peak. divide the total amount (1500), with the ft/her (300) to get the amount of hours (x):

1500/300 = x

x = 5

it takes jamie 5 hours to get up. now, he is returning down, and reaches 600 (his current destination). remember that he climbs at a constant 300 ft/hr. divide 600 with 300:

600/300 = x

x = 2

now add the two numbers together.

x = 5 + 2 = 7

jamie takes 7 hours to go up the mountain and reach his current position when descending.

(total amount/constant rate) = (time).

remember that it is a constant rate, so in total, when he gets back down the mountain, it will take the same amount of time as when he goes up. the total amount for the round trip is: 5 + 5 = 10.

~