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KatRina [158]
2 years ago
12

Brandon has a jar of quarters and dimes with a total value of $7.05. The number of quarters is 3 less than twice the number of d

imes. How many quarters and how many dimes does Brandon have?
Number of quarters =

Number of dimes =
Mathematics
1 answer:
miv72 [106K]2 years ago
4 0

Answer:

  • quarters: 23
  • dimes: 13

Step-by-step explanation:

Let d represent the number of dimes. Then the number of quarters is 2d-3 and the total value of the coins is ...

  0.10d + 0.25(2d-3) = 7.05

  0.60d -0.75 = 7.05 . . . . . . . simplify

  d = (7.05 +0.75)/0.60 = 13 . . . . add 0.75, divide by 0.60

  2d-3 = 2·13 -3 = 23

Brandon has 23 quarters and 13 dimes.

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Step-by-step explanation:

We\ are\ given\ that, \\Angle GFE=105\\We\ observe\ that, \\Angle\ GFE\ and Angle\ EFB\ form\ a\ linear\ pair\ and\ hence,\ are\ supplementary.\\Hence,\\Angle\ GFE\ + Angle\ EFB=180\\Hence,\\105+Angle\ EFB=180\\Angle\ EFB=180-105\\Angle\ EFB=75\\We\ know\ observe\ that\ Angle\ EFB\ and\ Angle\ ABC\ are\ corresponding\ angles\ and\ are\ equal\\Hence,\\Angle\ EFB\ = \ Angle\ ABC\\75=Angle\ ABC\\75=x\\x=75

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Step-by-step explanation

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