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Liono4ka [1.6K]
4 years ago
12

Find three consecutive integers such that three times The largest increased by two is equal to five times the smallest increased

by three times the middle integer
Mathematics
1 answer:
rosijanka [135]4 years ago
7 0
a,a+1,a+2-\ three\ consecutve\ integers\\\\
3*(a+2)+2=5*(a+3)+3(a+1)\\\\
3a+6+2=5a+15+3a+3\\\\
3a+8=8a+18\ \ \ | subtract\ 3a\\\\
8=5a+18\ \ \ \ | subtract\ 18\\\\
-10=5a\ \ \ \ | divide\ by\ 5\\\\
a=-2\\\\Numbers\ are:\ \ -2,-1,0

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A larger number is 30 more than a smaller number x. The larger number is 50. What is the smaller number?
crimeas [40]

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The smaller number is 20.

Step-by-step explanation: You subtract 50-30 to get 20.

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3 years ago
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3 years ago
Rectangles F and H are similar. If rectangle F has dimensions of 5x10 and rectangle H has dimensions of 15 by an unknown amount.
enyata [817]

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The answer is 30 or 7.5

Step-by-step explanation:

There are two answers because you haven't specified whether the 15 corresponds with the 5 or the 10 so I did both.

If the 15 corresponds with the 5 then the scale factor is 3 because 15 ÷ 5 = 3. To find the unknown amount you have to multiply the 10 by 3 to get 30.

If the 15 corresponds with the 10 then the scale factor is 1.5 because 15 ÷ 10 = 1.5. To find the unknown amount you have to multiply the 5 by 1.5 to get 7.5.

So depending on whether the 15 corresponds to the dimension 5 or 10 you have two answer, you can use the one that applies to you.

8 0
4 years ago
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3 years ago
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