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Kryger [21]
3 years ago
14

NEED HELP ASAP!

Mathematics
1 answer:
Ivan3 years ago
6 0

9514 1404 393

Answer:

  • 80 dimes
  • 65 quarters

Step-by-step explanation:

Let q represent the number of quarters (the higher-value item). Then 145-q is the number of dimes. The total collection is worth ...

  0.25q + 0.10(145 -q) = 24.25

  0.15q = 9.75 . . . . . . . . . . . . . . . . subtract 14.50; collect terms

  q = 65 . . . . . . . . . . . divide by 0.15

  d = 145 -q = 80

Ted has 80 dimes and 65 quarters.

___

<em>Check</em>

  80 dimes: $8.00

  65 quarters: $16.25

Total: $8.00 +16.25 = $24.25.

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Given g(x)=Squareroot x-4 and h(x)=2x-8, what is g(h(10))
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Answer:

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Step-by-step explanation:

Given

g(x) = \sqrt {x - 4

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Required

g(h(10))

First, calculate g(h(x))

We have:

g(x) = \sqrt {x - 4

This gives:

g(h(x)) = \sqrt {h(x) - 4

Substitute h(x) = 2x - 8

g(h(x)) = \sqrt {2x - 8 - 4

g(h(x)) = \sqrt {2x - 12

Substitute x = 10

g(h(10)) = \sqrt {2*10 - 12

g(h(10)) = \sqrt {20 - 12

g(h(10)) = \sqrt {8\\

Split

g(h(10)) = \sqrt {4} * \sqrt 2

This gives

g(h(10)) = 2\sqrt 2

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