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Harrizon [31]
3 years ago
11

a purse contains $2.95 in quarters and dimes. there are 9 more quarters than dimes. find the number of quarters and dimes.

Mathematics
2 answers:
Firdavs [7]3 years ago
5 0
There are 11 quarters and 2 dimes in the purse
julsineya [31]3 years ago
4 0
0.25q + 0.10d = 2.95
q = d + 9

0.25(d + 9) + 0.10d = 2.95
0.25d + 2.25 + 0.10d = 2.95
0.25d + 0.10d = 2.95 - 2.25
0.35d = 0.70
d = 0.70/0.35
d = 2 <=== 2 dimes

q = d + 9
q = 2 + 9
q = 11 <=== 11 quarters
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3 years ago
Natalie’s income statement for the month of October is shown. Natalie monthly income statement for October. Total wages are 3,00
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Natalie’s net income for the month of October is $1,930.

<h2>Net Income </h2>

The net income of a person is the income of the person that is left with him after deducting all of his\her expenses and deductions.

\rm Net\ Income = Total\ salary - Total\ expenses - Deductions

<h2 /><h2>Given to us</h2>
  • Natalie's monthly income statement for October. Total wages are 3,000 dollars.
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<h3 /><h3>Natalie’s net income</h3>

the total wage Natalie is already given is $3,000, and her expenses as $1,070, while there are no deductions from his salary. therefore,

\rm Natalie 's\ Net\ Income= Total\ salary - Total\ expenses - Deductions

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Hence, Natalie’s net income for the month of October is $1,930.

Learn more about Net Income:

brainly.com/question/25247632

7 0
3 years ago
Find the median of each set of data. 12, 8, 6, 4, 10, 1 7 6, 3, 5, 11, 2, 9, 5, 0 5 30, 16, 49, 25
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Step-by-step explanation:

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The total cost (in hundreds of dollars) to produce x units of a product is c(x) = (3x-2) / (8x+1), find the average cost for eac
olya-2409 [2.1K]

Answer:

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b) \frac{3x-2}{x(8x+1)}

c) \frac{-24x^2+32x-2}{(8x^2+x)^2}

Step-by-step explanation:

For total cost function c(x), average cost is given by \frac{c(x)}{x} i.e., total cost divided by number of units produced.

Marginal average cost function refers to derivative of the average cost function i.e., \left ( \frac{c(x)}{x} \right )'

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Average cost = \frac{c(x)}{x}=\frac{3x-2}{x(8x+1)}

a)

At x = 50 units,

\frac{c(50)}{50}=\frac{150-2}{50(400+1)}=\frac{148}{50(401)}=\frac{74}{10025}

b)

Average cost = \frac{c(x)}{x}=\frac{3x-2}{x(8x+1)}

c)

Marginal average cost:

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using quotient rule, \left ( \frac{f}{g} \right )'=\frac{f'g-fg'}{g^2}

Therefore,

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Answer:

In geometry, you can use deductive rules to prove that a given statement or conjecture is true or false using deductive reasoning.

Step-by-step explanation:

6 0
3 years ago
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