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Lerok [7]
3 years ago
10

You have $125.60 in quarters and

Mathematics
1 answer:
Sloan [31]3 years ago
3 0

Answer:

Quarters = q = 200

Dimes = d = 756

Step-by-step explanation:

Let

Dimes = d

Quarter = q

Value of each Dime = 0.10

Value of each Quarter = 0.25

d + q = 956 (1)

0.1d + 0.25q = $125.60 (2)

From (1)

d = 956 - q

Substitute d = 956 - q into (2)

0.1d + 0.25q = $125.60

0.1(956 - q) + 0.25q = $125.60

95.6 - 0.1q + 0.25q = $125.60

- 0.1q + 0.25q = 125.60 - 95.6

0.15q = 30

Divide both sides by 0.15

q = 30 / 0.15

= 200

q = 200

Substitute q = 200 into (1)

d + q = 956

d + 200 = 956

d = 956 - 200

= 756

d = 756

Therefore,

Quarters = q = 200

Dimes = d = 756

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A board is 29ft long. The second piece is 4 times longer than the first. The third piece is 3 times longer than the second. What
Nady [450]

Answer:

Length of first piece = 1.7058823 ft

Length of second piece = 4(1.7058823) = 6.82352941 ft

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Step-by-step explanation:

As given, Total length of the board = 29 ft

Let the board is divided into 3 pieces

Suppose that the length of first piece = x ft

As given, the second piece is 4 times longer than the first

⇒Length of second piece = 4x ft

Also given, the third piece is 3 times longer than the second.

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Now,

As total length of board = 29

⇒ x + 4x + 12x = 29

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Length of first piece = 1.7058823 ft

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Length of third piece = 12(1.7058823) = 20.47058823 ft

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Question 9
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Answer:

<u>The</u><u> </u><u>requ</u><u>ired</u><u> </u><u>num</u><u>ber</u><u> is</u><u> </u><u>7</u><u>0</u><u>.</u>

Step-by-step explanation:

let the no. be 10y + x where x is unit digit and y is ten's digit.

given , sum of the digit is 7

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also , reversing the no. we get 10x + y ,where x is ten's digit and y is unit digit.

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( dividing both side by 9 )

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adding 1 and 2 [ refer attachment ]

so the required original number is

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