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kati45 [8]
3 years ago
8

Monique needs to buy a baseball for $20, a soccer ball for $15, and a set of tennis balls for $12.

Mathematics
1 answer:
defon3 years ago
6 0
Let's simplify step-by-step.<span><span><span><span>(<span>1−x</span>)</span><span>(20)</span></span>+<span><span>(<span>1−y</span>)</span><span>(12)</span></span></span>+<span><span>15<span>(<span>1−z</span>)</span></span><span>(<span><span>20+15</span>+12</span>)</span></span></span>Distribute:<span>=<span><span><span><span><span><span><span><span>(1)</span><span>(20)</span></span>+<span><span>(<span>−x</span>)</span><span>(20)</span></span></span>+<span><span>(1)</span><span>(12)</span></span></span>+<span><span>(<span>−y</span>)</span><span>(12)</span></span></span>+<span><span>(<span>15<span>(<span>1−z</span>)</span></span>)</span><span>(20)</span></span></span>+<span><span>(<span>15<span>(<span>1−z</span>)</span></span>)</span><span>(15)</span></span></span>+<span><span>(<span>15<span>(<span>1−z</span>)</span></span>)</span><span>(12)</span></span></span></span><span>=<span><span><span><span><span><span><span><span><span><span><span><span><span><span>20+</span>−<span>20x</span></span>+12</span>+</span>−<span>12y</span></span>+</span>−<span>300z</span></span>+300</span>+</span>−<span>225z</span></span>+225</span>+</span>−<span>180z</span></span>+180</span></span>Combine Like Terms:<span>=<span><span><span><span><span><span><span><span><span>20+<span>−<span>20x</span></span></span>+12</span>+<span>−<span>12y</span></span></span>+<span>−<span>300z</span></span></span>+300</span>+<span>−<span>225z</span></span></span>+225</span>+<span>−<span>180z</span></span></span>+180</span></span><span>=<span><span><span><span>(<span>−<span>20x</span></span>)</span>+<span>(<span>−<span>12y</span></span>)</span></span>+<span>(<span><span><span>−<span>300z</span></span>+<span>−<span>225z</span></span></span>+<span>−<span>180z</span></span></span>)</span></span>+<span>(<span><span><span><span>20+12</span>+300</span>+225</span>+180</span>)</span></span></span><span>=<span><span><span><span>−<span>20x</span></span>+<span>−<span>12y</span></span></span>+<span>−<span>705z</span></span></span>+737</span></span>Answer:<span>=<span><span><span><span>−<span>20x</span></span>−<span>12y</span></span>−<span>705z</span></span>+737</span></span>
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Step-by-step explanation:

(30/100)A = 10 + (20/100)B

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