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

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

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

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

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Answer:

1: 10x-5

2: 6.5w-3y

3: 15+3n

4: not sure

The total number of students enrolled at Twin Rivers Middle School is 2,000
students. If the ratio of boys to girls is also 3 to 2 for the school, how many students
are boys and how many students are girls at Twin Rivers Middle school?

Answers

Answer:

1200 boys and 800 girls

Step-by-step explanation:

since the ratio is 3:2 i just added the ratio to get 5 then divided that by how many total students there were giving me 400, then multiplied it by 3 for the boys and by 2 for the girls. giving me 1200 and 800

(sorry if this is confusing)

Add the ratios together: 3 + 2 = 5

Divide total students by 5:

2000 / 5 = 400

Multiply each ratio by 400:

Boys = 400 x 3 = 1200

Girls = 400 x 2 = 800

write an equation for the graph using point-slope form

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Answer: y-6=5/6(x-4)

Step-by-step explanation:

using the 2 points to find the slope (-2,1) and (4,6):

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Identify the following as an identity, a contradiction, or a conditional equation.
3(x + 2) = 3x + 2

Answers

Contradiction

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


i used google

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).

The reason is being that since variable (x) is the artist and which is regarded as the categorical variable even though it is attributed to numerical values, it cannot and will not be used in quantitative studies like correlation.  

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:

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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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

8x+16-9y=2-2

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FREE ANSWERS PEEPSSSSSSSSSSSSSSSSSSSSSSSSSS

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Answer:

Ok

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.

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

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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:

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

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Answer:

   

Step-by-step explanation:

Suppose that 2 were subtracted from each of the values in a data set that
originally had a standard deviation of 7.5. What would be the standard
deviation of the resulting data?
A. 2
B. 7.5
C. 9.5
O D. 5.5

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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Hence,

Option B. 7.5 is the correct answer

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Step-by-step explanation:

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Step-by-step explanation:

mins good

Answer:

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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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R

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Step-by-step explanation:

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I just need the steps....

Answers

Answer:

Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

-3/-11 + 5/9 =

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Explanation:I got it correct

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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

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hope dis helps

might be wrong buh wutever

ion care if u report it

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

Answers

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

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!

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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Compare. Select <,>, or=.
8.465? V 8.445

Answers

Answer:

8.465>8.445

Step-by-step explanation:

8.465>8.445

So 8.465 is greater than 8.445

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