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
2 answers:
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.
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= =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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