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DerKrebs [107]
3 years ago
12

Please show your work thank you

Mathematics
1 answer:
AlladinOne [14]3 years ago
4 0

 

\displaystyle\\\frac{LM}{QP}=\frac{NL}{RQ}\\\\\frac{8}{12}=\frac{x+7}{2x+5}\\\\8(2x+5)=12(x+7)\\16x+40=12x+84\\16x-12x=84-40\\4x=44\\\\x=\frac{44}{4}\\\\\boxed{x=11}\\RQ=2\cdot11+5=22+5\\\boxed{\bf RQ=27~~correct~answer: ~C.}\\\\NL=11+7 = 18\\MN=11+5=16\\PR=2\cdot11+2=22+2=24

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The ages of 10 friends are consecutive integers. The sum of their ages is 710. they get together every Tuesday to play cards and
Nady [450]

Answer:

x = 66.5

x + 1 = 67.5

x + 2 = 68.5

x + 3 = 69.5

x + 4 = 70.5

x + 5 = 71.5

x + 6 = 72. 5

x + 7 = 73.5

x + 8 = 74.5

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Step-by-step explanation:

Given that :

Age of 10 friends are consecutive integers :

Let the ages be :

x, x+1, x+2, x+3, x+4, x+5, x+6, x+7, x+8, x+9

The sum of their ages = 710

Hence,

x + x+1 + x+2 + x+3 + x+4 + x+5 + x+6 + x+7 + x+8 + x+9 = 710

10x + 45 = 710

10x = 710 - 45

10x = 665

x = 665 / 10

x = 66.5

x + 1 = 67.5

x + 2 = 68.5

x + 3 = 69.5

x + 4 = 70.5

x + 5 = 71.5

x + 6 = 72. 5

x + 7 = 73.5

x + 8 = 74.5

x + 9 = 84.5

7 0
2 years ago
Matt had a full jar of marbles. He gave Kayla 3/4 of the marbles. Then Kayla returned 1/3 of a jar's worth of marbles to the jar
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