Martin uses 8 of a gallon of paint to cover 5 of a wall. what is the unit rate at which martin paints in walls per gallon?

sess of a gallon of paint to cover for a man who

1 walls per gallon

of a wall per gallon

15 walls per gallon

walls per gallon

martin paints at a unit rate of 1.6 gallons per wall ( that means 1.6 gallons are used to paint 1 wall) or 0.625 wall per gallon (that means 0.625 wall is painted by 1 gallon)

Step-by-step explanation:

5 walls = 8 gallons

1 wall = 8/5 gallons  ( we divided both sides by 5 since we want to know how many gallons would be needed for 1 wall)

1 wall = 1.6 gallons

if we are to calculate gallon per wall, it would be

8 gallons = 5 walls

1 gallon = (5/8) walls

1 gallon paints 0.625 wall

to calculate for 15 walls knowing the rate of gallons per wall

so if 1 wall = 1.6 gallons

then 15 walls = 1.6 * 15 = 24 gallons

similarly, using walls per gallon (this is a longer method)

0.625  walls = 1 gallon

0.625 = 5/8 walls ( so what do we multiply with this figure to give us 15 walls?)

15 / (5/8)

(15 *8)/5 = 3*8 = 24 gallons

so 15 walls would need 24 gallons

clear ? if not please let me know

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,