Alex has 84 quarters and nickels worth a total of $17.80.

Which equation can be used to find q, the number of quarters Alex has?

Answers

Answer 1

The equation which can be used to find the number of quarters and nickels is; n + q = 84, 0.05n + 0.25q = 17.80.

Quarters and nickels

Total coins = 84Total value = $17.80

let

Number of quarters = qNumber of nickels = n

n + q = 84

0.05n + 0.25q = 17.80

From equation (1)

n = 84 - q

Substitute into (2)

0.05n + 0.25q = 17.80

0.05(84 - q) + 0.25q = 17.80

4.2 - 0.05q + 0.25q = 17.80

- 0.05q + 0.25q = 17.80 - 4.2

0.20q = 13.60

q = 13.60 / 0.20

q = 68

Substitute q = 68 into

n + q = 84

n + 68 = 84

n = 84 - 68

n = 16

Therefore, the number of quarters and nickels are 68 and 16 respectively.

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Related Questions

After substituting, what is the first step when evaluating (4y+9)/7 when Y = 8
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A. Add 4 and 9.
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Answer:

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In a video game, a bird is flung on a sling shot and follows a parabolic path. The path of the bird can be modeled by the equation h=-16t²+55t+50, where h is the height of the bird t and is the amount of time, in seconds, the bird has been in the air. How long will it take the bird to reach a height of 40 feet in the air for the first time?

Answers

9514 1404 393

Answer:

  3.61 seconds

Step-by-step explanation:

The bird starts 50 feet in the air, so will come down to a height of 40 feet after 3.61 seconds.

We want to solve h = 40.

  40 = -16t^2 +55t +50

  16t^2 -55t -10 = 0

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The bird will be 40 ft above the ground the first time after about 3.61 seconds.

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Answer:

bc=-4

Step-by-step explanation:

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Which pairs of expressions below are equivalent? A9m+4m13m2 B2(3m−4n)6m−4n C7(2m−3n)14m−21n D5m+5n+5m+5n5(m+n)

Answers

Answer:

7(2m−3n)14m−21n

Step-by-step explanation:

The following pairs are equivalent

7(2m - 3n)

14m - 21n

If you solve 7(2m - 3n)

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7(2m) - 7(3n)

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So according to the given options, the option c is correct as this pairs is to be considered as equivalent

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Answers

Answer:

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Step-by-step explanation:

Let the cost price = x

At the end of the first price, it loses ten percent = 0.9x

At the end of the second year, it loses an extra ten = 0.9(0.9x)= 0.81x

0.81x=129600

x=160000

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Answer:

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answer:

3 1/4 + 2 1/3 = 67/

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Step-by-step explanation:

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Step-by-step explanation:

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A loaf of bread costs 3.00 dollars today. The same size loaf cost 20 cents in 1955. what percentage of todays price did someone in 1955 pay for bread?

Answers

Answer:

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Step-by-step explanation:

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Answer:

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A sno-cone machine priced at $139 is on sale for 20% off. The sales tax rate is 6.75%. What is the price of the sno-cone machine after the discount and sales tax?
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Answers

Answer:

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Step-by-step explanation:

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__% of increase or decrease (ANSWER ASAP)

Answers

Given:

[tex]\dfrac{1}{4}\text{ to }\dfrac{1}{2}[/tex]

To find:

The percent of change, round to the nearest 10th of a percent.

Solution:

We have,

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[tex]\%\text{ change}=\dfrac{\dfrac{1}{2}-\dfrac{1}{4}}{\dfrac{1}{4}}\times 100[/tex]

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[tex]\%\text{ change}=1\times 100[/tex]

[tex]\%\text{ change}=100\%[/tex]

Here, the % change is positive, it represents the percent increase.

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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A farmer has a house that sits at the edge of a field, with all sides meeting at right
angles.
The field has the following measurements.
40 m
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Calculate the total length of fencing.

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answer:

1 - Perpendicular.

2 - Neither.

Step-by-step explanation:

Use the slop formula to find the slope of the two sides.

[tex]m = \frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

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Which expressions are equivalent to 56x + 24 divided by 8?


A.7x + 24


B.56x + 24

8


C. 8(24 + 56x)


D.3x + 7


F.3 + 7x

Answers

The expression (56x + 24) / 8 is equivalent to the expression will be 7x + 3. Then the correct option is F.

What is an equivalent expression?

The equivalent is the expression that is in different forms but is equal to the same value.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given below.

⇒ (56x + 24) / 8

Simplify the expression, then we have

⇒ (56x + 24) / 8

⇒ (56/8)x + 24/8

⇒ 7x + 3

The expression (56x + 24) / 8 is equivalent to the expression will be 7x + 3. Then the correct option is F.

More about the equivalent link is given below.

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An expression equivalent to 56x + 24 divided by 8 is 3x+7. So, option F. is correct.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Given the following expression:

56x + 24

It is required to divide the given expression by 8,

Thus, dividing the expression by 8 as follows:

[tex]\dfrac{56x+24}{8}\\\\\dfrac{56x}{8}+\dfrac{24}{8}\\\\7x+3[/tex]

Thus, 3+7x is the expression equivalent to 56x + 24 divided by 8. So, option F is correct.

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Answers

Answer:

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Answer:

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Step-by-step explanation:

2/3 * 3/4

6/12=1/2


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Step-by-step explanation:

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Answer:

the number is 5

Step-by-step explanation:

the difference between any two consecutive numbers is just 1.

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Answer:

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Step-by-step explanation:

Rewrite as a simplified fraction.

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Answers

Answer:

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Step-by-step explanation:

0.6 = 6/10 = 3/5

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