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3 years ago

11

Using only nickels, dimes and quarters, the minimum number of coins needed to cover every possible choice of 5¢, 10¢, 15€, --- t

o $1.35 is

1 answer:

creativ13 [48]3 years ago

6 0

Answer:

6 coins 5 quarters and one nickel.

Step-by-step explanation:

5 quarters = 1.25 + 1 nickel = .10

(1.25 + .10 = 1.35) hope it helps.

:)

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Prove the divisibility of the following numbers:

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Answer:

Step-by-step explanation:

To prove divisibility, we need to factor the divident such that one of its factors matches the divisor.

(I use the notation x|y to denote that x divides y)

(A)

$75^{30}|45^{45}\cdot15^{15}\\45^{45}\cdot15^{15}=3^{45}\cdot 15^{45}\cdot 15^{15}=\\=3^{45}\cdot 15^{60}=3^{45}\cdot 15^{30}\cdot 15^{30}=3^{45}\cdot (3\cdot5)^{30}\cdot 15^{30}=\\=3^{45}\cdot 3^{30}\cdot(5\cdot 15)^{30}=3^{45}\cdot 3^{30}\cdot(75)^{30}\\\implies\\75^{30}|3^{45}\cdot 3^{30}\cdot75^{30}$

(B)

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In this case, it is easier to also factor the divisor to primes:

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3 years ago

How do you work out this problem, step by step please I am so lost. Year Average Household Income (before taxes) Food Housing Tr

Hitman42 [59]

Answer:

(a)Food-12%

9b)Transportation-17%

Step-by-step explanation:

In the Year 2000

Average Household Income (before taxes)=$44,649
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Amount Spent on Transportation=$7,417

Therefore:

(a)Percentage of the average household income in 2000 was spent on food

$=\dfrac{5158}{44649} \times 100\\\\=11.55\%\\\\\approx 12\% $(to the nearest percent.)$

(b)Percentage of the average household income in 2000 was spent on transportation

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