Abathtub is in the shape of a rectangular prism. its dimensions are 5 feet by 3 feet by 18 inches. the bathtub is three-fourths full of water and drains at a rate of 1 cubic foot per minute. about how long does it take for all the water to drain?

To solve for the time it takes to drain the water, we must first solve the total volume of the bath tub. Since it is a rectangular prism, therefore the formula for volume is:

V = l * w * h

where,

l , w and h are the dimensions of the prism

l = 5 ft

w = 3 ft

h = 18 inches = 1.5 ft

Substituting the given values:

V = (5 ft) (3 ft) (1.5 ft)

V = 22.5 cubic foot

Since the bath tub is only 3/4 full of water, therefore the volume of water is:

V water = (3/4) V

V water = (3/4) (22.5 cubic foot)

V water = 16.875 cubic foot

Since the rate is 1 cubic foot per minute therefore the time required is:

time = volume / rate

time = 16.875 cubic foot / (1 cubic foot / minute)

time = 16.875 minutes = 16.9 minutes

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

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