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olga_2 [115]
3 years ago
15

Ben has a collection of quarters and nickels worth $5.35. If the number of nickels is 5 less than twice the number of quarters,

find the number of each coin.
Mathematics
1 answer:
butalik [34]3 years ago
6 0

(<em>q = quarters, n = nickles</em>)

<u>First, create your system of equations:</u>

   25q + 5n = 535 cents

   n = 2q - 5

<u>Second, Substitute for n:</u>

   25q + 5(2q - 5) = 535

<u>Simplify:</u>

   25q + 10q - 25 = 535

<u>Simplify to solve for q:</u>

   35q=560

   q=16

<u>Next, solve for n by plugging the value of q back into the equation:</u>

   n=2q - 5

   n=32-5

   n=27

There would be 16 quarters and 27 nickles.

<em>Hoped this helped!</em>

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Answer:

644,262 copies

Step-by-step explanation:

Since this is a proportion problem, and we are given three values and one variable which is the total number of copies sold to date (x). Then we can use the Rule of Three to solve this problem. To do this we simply multiply the diagonal values and divide by the last value which would give us the value of the variable x

39,300 copies  <======>  6.1%

    x   copies   <=======>  100%

(100*39,300) / 6.1 = 644,262 copies

Therefore, a total of 644,262 copies have been sold to date.

4 0
2 years ago
What is the answer to 8k-4(k-1)+7-k
seropon [69]
8k-4k+4+7-k = 
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8 0
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Mrs. Savino runs 3 miles in 28 minutes. At this rate, how many minutes would it take her to run 15 miles? * Need it ASAP​
VashaNatasha [74]

Answer:

she would take 140 minutes to run 15 miles

Step-by-step explanation:

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7 0
2 years ago
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Help me asap ok thanks
Gre4nikov [31]

Answer: total profit = $418

======================================================

Work Shown:

June

Income = (4 lawns)*($27 per lawn) = $108

Expenses = ($32 for gas)+($12 for trim line) = $44

Profit = income - expenses = 108-44 = $64

----------------------------

July

Income = (12 lawns)*($20 per lawn) = $240

Expenses = ($89 for gas)+($29 for blade sharpening) = $118

Profit = income - expenses = 240 - 89 = $151

----------------------------

August

Income = (16 lawns)*($20 per lawn) = $320

Expenses = ($101 for gas)+($16 for oil) = $117

Profit = income - expenses = 320-117 = $203

----------------------------

Total profit = (june profit)+(july profit)+(august profit)

Total profit = (64) + (151) + (203)

Total profit = $418

If the final result was negative, then we would call this a loss. However, we have a positive value, so we go with a profit.

8 0
2 years ago
Solve the inequality for x. 75+15x is greater than or equal to 140
Gre4nikov [31]
75+ 15x ≥ 140
⇒ 15x ≥ 140 -75
⇒ 15x ≥ 65
⇒ x ≥ 65/15
⇒ x ≥ 13/3
⇒ x ≥ 4 1/3

The final answer is x ≥ 4 1/3~
8 0
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