An area reserved for a parking lot is 80 feet long and 77 feet wide. the stalls of the lot are at 90° angles to two one-way aisles. each aisle is 80 feet by 10 feet. the three areas set aside for the parking spaces are congruent rectangles. each parking space will be 19 feet by 8 feet. what is the maximum number of parking spaces that will fit in the lot?

30 spots

Step-by-step explanation:

Length of parking lot = 80ft

Width of parking lot = 77ft

Lenght of aisle = 80ft

Width of aisle = 10ft

Length of parking space = 19ft

Width of parking space = 8ft

There are two (2) columns which are 10ft wide. So we can walk through an aisle of 2*10 = 20ft width

The width of the parking spots will be 77 - 20 = 57ft

The parking spots are 8ft wide. their width is parallel to the length of the overall lots which is 80ft.

To find the number of times the parking spot is found in the overall lot, we have 80/10 = 10 times

Therefore, we have 10 spots for each row if parking space.

Each spot is 19ft long. To find the number of rows we have 57/19 = 3 rows.

So we have 3 rows by 10 columns

= 3*10 = 30 spots

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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