6

A girl has $2.85 in nickels and quarters. How many of each type of coin does she have if there

are 21 coins in all? *

(4 Points)

n + 9 = 21 and .05n + .25q = 2.85

n = 12,9 = 9

n = 5,9 = 26

n = 31, 9 = 22

n = 5,9 = 7

Answers

Answer 1

Answer:

n = 12, q = 9

Step-by-step explanation:

The simultaneous equation that represents the expression is;

n + q = 21 .......... 1

0.05n + 0.25q = 2.85 ........ 2

Multiply equation 2 by 100 to have;

5n + 25q = 285

n + 5q = 57

____________________________________

n + 5q = 57

n + q = 21

Substract the resulting equations

5q-q = 57-21

4q = 36

q = 36/4

q = 9

Substitute q = 9 into eqn 1;

From 1; n+q = 21

n = 21-q

n = 21-9

n = 12

Hence she has 12 nickels and 9 quarters


Related Questions

Harry needs 21 square meters for every 6 wizard cloaks he makes

Answers

Answer:

Harry needs 21 square meters of fabric for every 6 wizard cloaks he makes then Equal ratios = 21/6 = 7/2 = 14/4. Step-by-step explanation: Complete Question is : Complete the table using equivalent ratios.

Step-by-step explanation:

5.)
A ball is thrown into the air with an initial velocity of 96 feet per second. Given the formula below wheret,
represents time in seconds and s(t), the height of the ball, when will the ball hit the ground?
s(t) = -16t? + 960

Show full work

Answers

Answer: The ball will hit the ground 6 seconds after it has ben thrown, at t = 6s.

Step-by-step explanation:

The equation for the height of the ball should be:

s(t) = (-16ft/s^2)*t^2 + 96ft/s*t

When s(t) = 0ft, means that the ball is in the ground

This represents the height of the ball as a function of t, the time in seconds.

We can see that at t = 0s:

s(0s) = (-16ft/s^2)*(0s)^2 + 96ft/s*(0s) = 0ft

Then at the time 0 seconds, the ball is in the ground, so we must look at the other root of the equation

(-16ft/s^2)*t^2 + 96ft/s*t = 0ft

To find it, we can use the Bhaskara equation, in this case is:

[tex]t = \frac{-96ft/s +- \sqrt{(96ft/s)^2 - 4*(-16ft/s^2)*0} }{-2*16ft/s^2} = \frac{-96ft/s^2 +-96ft/s^2}{-32ft/s^2}[/tex]

Then we have the two solutions:

t = (-96ft/s + 96ft/s)/(-32 ft/s^2) = 0s  (the one that we already found)

And the other one is:

t = (-96ft/s - 96ft/s)/(-32ft/s^2) = 6s

Then:

s(6s) = 0ft

This means that the ball will hit the ground at t = 6 seconds.

The time required to hit the ground is required.

The time taken by the ball to reach the ground is 2.45 seconds.

The equation is

[tex]s(t)=-16t^2+96[/tex]

At the ground [tex]t=0[/tex]

so,

[tex]0=-16t^2+96\\\Rightarrow 16t^2=96\\\Rightarrow t=\sqrt{\dfrac{96}{16}}\\\Rightarrow t=2.45\ \text{s}[/tex]

The time taken by the ball to reach the ground is 2.45 seconds.

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Mr. G drove a total of 252 miles and used 42
used dia
gallons of gas last weekend. What is the unit
rate of miles to 1 gallon?
R

Answers

Answer: 890

Step-by-step explanation:

Hey, I need help in this one.

Answers

Answer:

True........ :)

Answer:

false

Step-by-step explanation:

its false cuz its 3x bigger

2*3=6

4*3=12

hope dis helps

might be wrong buh wutever

ion care if u report it

Consider the following equations: y = x minus 2. y = 2 x minus 2. y = negative x minus 2. y = negative 2. Discuss the similarities and difference in the graphs of these equations. (Use a graphing calculator if needed.) a. Same slopes; different y-intercepts b. Same slopes; same y-intercepts c. Different slopes; same y-intercepts d. Different slopes; different y-intercepts

Answers

the answer would be C.

Explanation:I got it correct

Answer: c Different slopes; different y-intercepts

Step-by-step explanation:

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Answers

Answer:

hey hows ur day

Step-by-step explanation:

mins good

Answer:

Ok, so slope is basically the steepness of the line, and intercept is when it crosses the x or y axis.

Step-by-step explanation:

To identify the slope, find two points on the line, then use this equation to find the slope: [tex]\frac{y2 - y1}{x2 - x1}[/tex], where x1 and y1 are the coordinates of the first point on the line, and x2 and y2 are the coordinates of the second point on the line. y2 - y1 is called the rise, and x2 - x1 is called the run. Then, to find the intercept (commonly the y-intercept), you must find the point at which the line crosses the axis. This is the easiest part because you just need to find a point on the axis. When you need to find the y-intercept, look for where the line crosses the x-axis, and when you need to find the x-intercept, look for where the line crosses the y-axis.

The points (3,-2) and (2,1) are both solutions to which inequality

Answers

Slope form —> y=3x+7
Standard form —> 3x+y=-7

Ms. Chibbaro packs 6 almonds for every 3 craisins (cranberry raisins) in her snack pack. She has 12 more almonds than craisins.

Answers

If this is asking how many craisins. She has 12. Craisins and 24 almonds.

On a photograph an ant is enlarged at a scale 25:1. In the photo, the ant's leg is 15 cm. What is the actual length of the ant's leg?

Answers

Answer:

3/5cm

Step-by-step explanation:

Let's solve your equation step-by-step.

x(25)=15

Step 1: Simplify both sides of the equation.

25x=15

Step 2: Divide both sides by 25.

25x /25 = 15/25

x = 3/5

Actual length of ant's leg is 0.6cm

Let the actual length of ant's leg = a

Scale = 25 : 1

Length in photo = 15 cm

Express as a an equation :

25 × actual length = 1 × length in photo

25a = 15

a = 15 / 25

a = 0.6

Hence, actual length of ant's leg is 0.6cm

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What percentage of the guesst at this hotel called for room service yesterday?

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Answer:

   

Step-by-step explanation:

Identify the following as an identity, a contradiction, or a conditional equation.
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Answers

Contradiction

It’s because contradictions have no solutions. The equation you provided doesn’t have a solution is there.
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i used google

(iv) -3/-11 + 5/9 step explanation ​

Answers

Answer:

82/99

Step-by-step explanation:

-3/-11 + 5/9 =

Two negatives cancel

3/11 + 5/9 =

LCM of 9 and 11 is 99, bringing into common denominator of 99

3*9/11*9 + 5*11/9*11 =27/99 + 55/99 =            82/99

HELP!! Determine whether the pair of lines are parallel, perpendicular, or neither. 8x=3y+2 -16x+6y=2.

Answers

Answer:

24x - 9y=0

Step-by-step explanation:

8x=3y+2-16x+6y=2

8x=9y+2-16x=2

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Find the area of the Compound shape

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I just need the steps....

Answers

Answer:

Step-by-step explanation:

6² + 12 × 6 = 36 + 72 = 108 m²

[tex]\frac{3*6}{2}[/tex] + 6 × 3 = 9 + 18 = 27 cm²

Answer:

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Step-by-step explanation:

FREE ANSWERS PEEPSSSSSSSSSSSSSSSSSSSSSSSSSS

Answers

Answer:

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Step-by-step explanation:

Answer:

US basketball legend Kobe Bryant and his daughter Gianna were among nine people killed in a helicopter crash in the city of Calabasas, California. Bryant, 41, and Gianna, 13, were travelling in a private helicopter when it came down and burst into flames. The LA county sheriff said there were no survivors.

Suppose that 2 were subtracted from each of the values in a data set that
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Answers

Answer:

Option B. 7.5 is the correct answer

Step-by-step explanation:

Let us define standard deviation first.

Standard deviation is the square root of variance. Standard Deviation tells us that how far are the values in a data set from the mean.

Now, if a constant is subtracted from all values of a dataset, the standard deviation remains the same. Only the origin or mean of the data changes by subtracting a constant from whole data set.

Given that the standard deviation of dataset is 7.5

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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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Answers

Answer:

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Step-by-step explanation:

8.465>8.445

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Answers

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Step-by-step explanation:

The total number of students enrolled at Twin Rivers Middle School is 2,000
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Answers

Answer:

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Step-by-step explanation:

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(sorry if this is confusing)

Add the ratios together: 3 + 2 = 5

Divide total students by 5:

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George bought 2.5 pounds of each type of fruit shown on the sign what was the total cost of the fruit he bought

Answers

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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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Answer:

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Step-by-step explanation:

SURVEYS Alana surveyed several students to find the number of hours of sleep they typically get each night. The results are shown in the table. Make a bar graph of the data.

Answers

Answer:

You have to make a bar graph that shows the hours of sleep each student gets. Sharla gets the most sleep and Kate gets the least.

Step-by-step explanation:

Explanantion is in answer.

I know it's sloppy but here's mine!

the mass of a rock same is 25 g and its density is d5d/cm cubed. What is the volume of the rock?

Answers

Answer:

וודי מסיפור הצעצועים יזיין אותך בלילה

Step-by-step explanation:

The Ted Williams Tunnel under Boston Harbor is 8,448 feet long. How many yards is the length of the tunnel?

Answers

Answer:

2816 yards

Step-by-step explanation:

In order to find the answer, you would need to divide 8,448 by 3 because there are 3 feets in a yard.

Hope this helps and pls do mark me brainliest if you can:)

any help will be helpful and you have to make ur own graph paper if you don't have none he said but please help I don't understand

Answers

Step-by-step explanation:

do you need graph paper?

just minus the 2nd cordnates x to the 1dt cordnates x and same for the y. that will give you the distance for each x and y points

I will give branliest to the first person to answer!
Simplify the following expressions
Please include the work its greatly appriciated!
1. 8x - 5 + 2x
2. 2.5w - 3y + 4w
3. 3(5 - 2n) + 9n
4. 5/7x + 15 = 9/14x - 9

Answers

Answer:

1: 10x-5

2: 6.5w-3y

3: 15+3n

4: not sure

what does the power of 10 Mean

Answers

Answer:

[tex]x^{10}[/tex]

Step-by-step explanation:

for example, if the variable x stands for 2,  [tex]2^{10}[/tex] stands for 2*2*2*2*2*2*2*2*2*2

The power of 10 is any of the integer powers of the number 10, also known as 10 multiplied by itself a certain amount of times.

An employee of an auction house has a list of 25 recently sold paintings. Eight artists were represented in these sales. The sale price of each painting is on the list. Would the correlation coefficient be an appropriate way to summarize the relationship between artist (x) and sale price (y)? Why or why not?

Answers

Answer:

Step-by-step explanation:

Given that:

A list of 25 recently sold paintings in an auction house is available, and eight artists were represented in the sales.

The objective is to determine if the correlation coefficient would be an appropriate way to summarize the relationship between the artist (x) and sale price (y).

From the information given;

NO, The correlation coefficient would not be an appropriate way to summarize the relationship between artist (x) and sale price (y).

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