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Softa [21]
4 years ago
12

A standard showerhead in Andrew's house dispenses 8 gallons of water per minute. Andrew changed this showerhead to an energy-sav

ing one. The equation shows the amount of water dispensed, y, as a function of the number of minutes, x, for the new showerhead. y = 3x How much water does Andrew save each day with the change in showerheads if he uses the shower for 8 minutes each day? 5 gallons 16 gallons 24 gallons 40 gallons
Mathematics
2 answers:
Tema [17]4 years ago
7 0
He would save 40 gallons a day using the energy saving shower head
castortr0y [4]4 years ago
3 0

Answer: He would save 40 gallons of water

Correct if Im wrong.

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Step-by-step explanation:

This is a multi-step equation using the distributive property and rational coefficents (fractions).  The first step is to complete the distributive property on both sides of the equation and multiply each term in the expression in parenthesis by the constant on the outside.  (3/4 x 2a) - (3/4 x 6) +1/2 = (2/5 x 3a) + (2/5 x 20).  When we multiply and simplify, we get 3/2a - 9/2 + 1/2 = 6/5a + 8.  Next step is to combine like terms:  3/2a  - 8/2 = 6/5a +8.  We then need to isolate the variable by using inverse operations:  3/10a = 12, then solve for 'a' by multiplying both sides by the reciprocal (10/3) to get a = 40.

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