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tigry1 [53]
3 years ago
6

a triangle has a perimeter of 10x+2 . two sides have lengths of 5x and 2x+9 what is the length of the 3rd side

Mathematics
1 answer:
stiks02 [169]3 years ago
8 0
Since all the sides add up to 10x+2, that means that 10x-2-<side1>-<side2>=<side3>. Plugging it in, we have 10x-2-5x-(2x+9)=side3, and 5x-2-(2x+9)=side3, then expanding it to 5x-2-2x-9=3x-11=side3
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Jo jo has a total amount of $12.45 in quarters and dimes in his pocket. he has a total of 60 coins. how many quarters and dimes
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Given:

Total number of coins (Quarters and dimes) = 60

Total amount = $12.45

To find:

The number of quarters and dimes.

Solution:

Let x be the number of quarters and y be the number of dimes.

We know that,

1 quarter = 0.25 dollar

1 dime = 0.10 dollar

Total coins: x+y=60               ...(i)

Total amount: 0.25x+0.10y=12.45             ...(ii)

From (i), we get

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Putting this value in (ii), we get

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0.25x-0.10x=12.45-6

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Divide both sides by 0.15.

x=\dfrac{6.45}{0.15}

x=43

Putting x=43 in (iii), we get

y=60-43

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So, the number of quarters is 43 and the number of dimes is 17.

Therefore, the correct option is b.

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