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soldi70 [24.7K]
3 years ago
10

A 15-foot log is split into 2 pieces. How long are the pieces if the longest piece is 1.5ft shorter than two of the shorter piec

es?
HELP
Mathematics
2 answers:
Allisa [31]3 years ago
8 0

Answer:

8.25 ft & 6.75 ft

Step-by-step explanation:

So we know it's split into two pieces, right? So normally that would be 7.5 ft each. But one is 1.5 ft longer than the other. So as a result, I divided that by 2 to add 0.75 ft to piece one and subtract 0.75 ft from piece two's length. So, the longer piece is 8.25 ft, and the shorter one is 6.75 ft.

Svetlanka [38]3 years ago
8 0

Answer:

Solution given:

total length=15foot

splits into 2 pieces

let shorter pieces be x.

we have longer pieces =2x-1.5ft

Now

total length=x+2x-1.5ft

15 ft =3x-1.5ft

15+1.5=3x

x=\frac{16.5}{3}=5.5ft

Now

<u>shorter</u><u> </u><u>length</u><u>:</u><u> </u><u>5</u><u>.</u><u>5</u><u>f</u><u>t</u><u>.</u>

<u>longer</u><u> </u><u>length</u><u>:</u><u>2</u><u>*</u><u>5</u><u>.</u><u>5</u><u>-</u><u>1</u><u>.</u><u>5</u><u>=</u><u>9</u><u>.</u><u>5</u><u>f</u><u>t</u><u>.</u>

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