Question

a rock climber averages 12 and 3/5 feet per minute. Write and solve an equation to find how many feet x the rock climber climbs in 30 minutes.an equation is ___= 12 and 3/5The rock climber climbs ___ feet in 30 minutes

Answer 1

(12 3/5) / 1 = x / 30 ....(12 3/5 ft to 1 min = x ft to 30 min)
cross multiply
(1)(x) = (12 3/5)(30)
x = 63/5 * 30
x = 1890/5
x = 378 ft <==

Answer 2

An equation is
`(x)/(30) =12(3)/(5)`

The rock climber climbs 378 feet in 30 minutes

Step-by-step explanation

To solve this, we are going to use the velocity equation:

`velocity=(distance)/(time)`

We know from our problem that the climber averages 12 and 3/5 feet per minute, so their velocity is 12 and 3/5 feet per minute; in other words:
`velocity=12(3)/(5)`. The problem is asking of for the distance
`x` that the rock climber climbs in 30 minutes, so
`distance=x` and
`time=30`. Let's replace the values in our velocity equation:

`velocity=(distance)/(time)`

`12(3)/(5)=(x)/(30)`

Which is the same as
`(x)/(30)=12(3)/(5)`

Now that we have our equation, we can solve for
`x` to find how much distance he climbs in 30 minutes:

`(x)/(30)=12(3)/(5)`

`x=12(3)/(5) *30`

`x=12.6*30`

`x=378`

He climbs 378 feet in 30 minutes.