Two buildings have the same total height. One building has 6 floors each with height, h. The other building

Mhas

a ground floor of 36 ft. and 3 other floors each with

height h. Write and solve an equation to find the height

hof each floors.

6h = 36ft + 3h

The height h of each floor is 12ft

Step-by-step explanation:

From the question,

The two buildings have the same total height.

Let the total height of each building be H, that is

H (for one building) = H (for the other building)

Also,

For one building, there are 6 floors each with height h, that is

H = 6h

For the other building, there is a ground floor of 36 ft and 3 other floors each with  height h, that is

H = 36ft + 3h

To find the height h of each floors,

Since the two buildings have the same total height, we can write that

H (for one building) = H (for the other building),

Then,

6h = 36ft + 3h

This is an equation that could be used to find height h.

To solve for h,

6h = 36ft + 3h

Then,

6h - 3h = 36ft

3h = 36ft

h = 36ft / 3

h = 12ft

Hence, the height h of each floor is 12ft

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.

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