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IrinaVladis [17]
3 years ago
15

A bag contains 37 coins consisting of only dimes and quarters.The total amount of money in the bag is $6.85. How many dimes are

in the bag ??
Mathematics
1 answer:
creativ13 [48]3 years ago
5 0

Answer:

16 dimes

Step-by-step explanation:

D=number of dimes

Q=number of quarters

D+Q=37

.25 xQ + .10 x D=6.85

sub Q from first equation

.25(37-D) + .10 x D=6.85

D(.10-.25) + .25 x 37 =6.85

-.15D + 9.25=6.85

D= (6.85-9.25)/(-.15)

D=16

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The ratio of children to adults at the football game was 23. If there were 140 children at the football game,
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Answer:

Therefore, the number of adults at the football game was 6.

Step-by-step explanation:

Let A represents the number of adults and C represents the number of children.

Therefore, the ratio of children to adults is given as follows:

23:1 = C:A ....................... (1)

Since C = 140, this is substituted into equation (1) as follows:

23:1 = = 140:A ....................... (2)

Transforming equation (2) and solve for A, we have:

23 / (23 + 1) = 140 / (140 + A)

23 / 24 = 140 / (140 + A)

0.958333333333333 = 140 / (140 + A)

0.958333333333333 (140 + A) = 140

(0.958333333333333 * 140) + 0.958333333333333A = 140

134.166666666667 + 0.958333333333333A = 140

0.958333333333333A = 140 -134.166666666667

0.958333333333333A = 5.833333333333

A = 5.833333333333 / 0.958333333333333

A = 6.08695652173878

Rounding to a whole number, we have:

A = 6

Therefore, the number of adults at the football game was 6.

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3 years ago
Simplify the expression. 7x + 6 + 3x -2 -5x
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Answer:

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5x + 6 - 2

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I hope this helps you

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