Mathematics, 25.07.2019 22:30 giiffnlojd

Apiece of wood is cut into three pieces in the ratio 2: 3: 5. if the longest piece is 15 in longer than the shortest piece, find the lengths of the piece of wood.

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Answer from: littledudefromacross

The required length of the piece of wood is 10;15;20.

Given that,

A piece of wood is cut into three pieces in the ratio of 2:3:5.

If the longest piece is 15 in longer than the shortest piece,

We have to determine,

The lengths of the piece of wood.

According to the question,

A piece of wood is cut into three pieces in the ratio of 2:3:5.

First piece = 2x

Second piece = 3x

Third piece = 5x

Total length of the wood = 2x + 3x + 5x = 10x

If the longest piece is 15 in longer than the shortest piece,

Then, a new length of longest piece = 5x+ 15

$5x = 2x + 15\\\\5x - 2x = 15\\\\3x = 15\\\\x = \dfrac{15}{3}\\\\x = 5$

Then, The length of the piece of wood is,

First wood = 2x = 2(5) = 10

Second wood = 3x = 3(5) = 15

Third wood = 5x = 5(5) = 25

Hence, The required length of the piece of wood is 10;15;20.

To know more about Ratio click the link given below.

link

Answer from: bankscorneliuso39

5/10x = 2/10x + 15
5/10x - 2/10x = 15
3/10x = 15
x = 15 * 10/3
x = 150/3
x = 50

2/10(50) = 100/10 = 10 in. shortest piece
3/10(50) = 150/10 = 15 in middle piece
5/10(50) = 250/10 = 25 in longest piece

Answer from: Quest

the law of definite proportions states samples of a compound will always contain the same proportion of elements by mass. in other words, a given compound will always contain the same elements in the same proportions by mass.the law of multiple proportions states when two elements combine with each other to form more than one compound, then the weights of one element that combine with a fixed weight of the other are in a ratio of small whole numbers.

Answer from: Quest

i think it is everything has to equal 180 so, if i correct 4=c. 6=d. 8=a. 7=b. and the last question would be c. because they are parallel lines and they are congruent.

step-by-step explanation:

the reason everything has to equal to 180 is because that is how it works. i'm guessing that is its rule. 4 and 8 are congruent and parallel so, that would be 30+30 because they have the same number. it would equal 60. 6 and 7 are congruent and parallel so, that would be 30+30 because they have the same number. it would equal 60. 60+60 is 180. so, now you have your answer

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Apiece of wood is cut into three pieces in the ratio 2: 3: 5. if the longest piece is 15 in longer t...