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Vinvika [58]
3 years ago
8

The fish tank in Paul's bedroom has a pump that will recirculate 75 gallons of water in 1/4 of an hour. Find the unit rate in ga

llons per hour.
a. 5 gallons per hour
b. 18.75 gallons per hour
c. 300 gallons per hour
d. 187.5 gallons per hour
Mathematics
1 answer:
m_a_m_a [10]3 years ago
6 0
We know that
(1/4) hour---------> 0.25 hour
if the pump r<span>ecirculate 75 gallons of water in -------------> 0.25  hour
 X </span>gallons of water in-----------------------------------------> 1 hour

X=75/0.25----------> x=300 gallons /hour

the answer is 300 gallons /hour
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X+y=120 <br>5.25x+3.0y=517.2
Sauron [17]
I will try to solve your system of equations.<span><span><span>
x+y</span>=120</span>;<span><span><span>5.25x</span>+<span>3y</span></span>=517.2</span></span>
Step: Solve<span><span>x+y</span>=120</span>for x:<span><span><span>
x+y</span>+<span>−y</span></span>=<span>120+<span>−y</span></span></span>(Add -y to both sides)<span>x=<span><span>−y</span>+120</span></span>
Step: Substitute<span><span>−y</span>+120</span>forxin<span><span><span><span>5.25x</span>+<span>3y</span></span>=517.2</span>:</span><span><span><span>
5.25x</span>+<span>3y</span></span>=517.2</span><span><span><span>5.25<span>(<span><span>−y</span>+120</span>)</span></span>+<span>3y</span></span>=517.2</span><span><span><span>−<span>2.25y</span></span>+630</span>=517.2</span>(Simplify both sides of the equation)<span><span><span><span>−<span>2.25y</span></span>+630</span>+<span>−630</span></span>=<span>517.2+<span>−630</span></span></span>(Add -630 to both sides)<span><span>−<span>2.25y</span></span>=<span>−112.8</span></span><span><span><span>−<span>2.25y</span></span><span>−2.25</span></span>=<span><span>−112.8</span><span>−2.25</span></span></span>(Divide both sides by -2.25)<span>y=50.133333</span>
Step: Substitute50.133333foryin<span><span>x=<span><span>−y</span>+120</span></span>:</span><span>
x=<span><span>−y</span>+120</span></span><span>x=<span><span>−50.133333</span>+120</span></span><span>x=69.866667</span>(Simplify both sides of the equation)
Answer:<span><span>
x=<span><span>69.866667<span> and </span></span>y</span></span>=<span>50.133333</span></span>
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3 years ago
Ippppppppppppppppppopkokhiufytedfliyhuigjboihlk.h
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2 years ago
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Solnce55 [7]

Answer:

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Step-by-step explanation:

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6 0
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Answer:

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Step-by-step explanation:

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220.80+736.00= $956.80 total

3 0
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