Archie builds a pool in his backyard. The pool measures 16 yards long, 6 yards wide and 2 yards deep. How many gallons of water will it take to fill the pool to the brim? (1 cubic yard = 202 gallons).

gallons of water = 38784 gallons

Step-by-step explanation:

He builds a pool in his backyard .The pool measures 16 yards long, 6 yards wide and 2 yards deep. The pool is a rectangular prism. The number of gallons it can take to fill the pool can be calculated when we know the volume of the pool. Therefore,

volume of the pool = length × width × height

volume = lwh

l = 16 yards

w = 6 yards

h = 2 yards

volume = 16 × 6 × 2

volume = 192 yards³

1 cubic yards = 202 gallons

192 cubic yards = ?  gallons

cross multiply

gallons of water = 192 × 202

gallons of water = 38784 gallons

i think the amount would be $140.62

system of linear equation

step-by-step explanation:

as given in the data

a= 20 , b= -12

let us suppose that it is a straight line equation

now we know the formula for the system of linear equation

b= ma + c )

here m is slope of a straight line which is equal to formula

m=   (ii)

and here c is a constant

now putting the value of a and b in equation (ii)

m=

m=

putting the value of a,b and m in equation (i) gives us

-12 = + c

-12=-12 + c

adding 12 to both sides

-12 +12 = -12 +12 +c

0 =c

or c=0

as the value of the constant is zero which gives us that it is a linear equation and this order pair satisfies the system of linear equations.