Rachel had a box in the shape of a prism with a square base. the capacity of the box is 150 cubic inches. the height of the box (y) is 1 1/2 times the base of the box (x). find the approximate height and the length of the box

Let

x> the length side of the square base of the box

y> the height of the box

V> volume of the box

we know that

V=x²*y

V=150 in³

so

150=x²*y> equation 1

y=1.5*x> equation 2

substitute the equation 2 in equation 1

150=x²*[1.5*x]> x³=150/1.5> x³=100

x=4.64 in

y=1.5*4.64> y=6.96 in

therefore

the answer is

the length side of the square base of the box is 4.64 in

the height of the box is 6.96 in

the formula of a slope:

we have the points (-2, 7) and (2, 3). substitute:

$2416.6

step-by-step explanation:

per hour = $ 25

total work time = 35

commission = 15%

total she has to make = $ 4,500

let she sold x dollar products

so her commission will be 15 % of x

now

total = weekly basic pay + commission

4500= (25*35) + 15 % of x

4500=875 + * x

4500-875 =   * x

3625= * x

multiplying wwith 100 on both sides gives

36250 = 15 x

now

x =  

x= $2416.6