Shelley has a collection of dimes, nickels and quarters that is worth $5.25. There are a total of 48 coins. If there are 7 more nickels than quarters, how many dimes are there?

Answers

Answer 1

Answer:

25 dimes

Step-by-step explanation:

Given

Coins: Nickels (N), Quarters (Q) , and Dimes (D)

$0.05 = 1 nickel, $0.10 = 1 dime  and $0.25 = 1 quarter

So, the amount implies:

[tex]0.05N + 0.10D + 0.25Q = 5.25[/tex]

The number of coin implies:

[tex]N + D + Q = 48[/tex]

and

[tex]N = 7 + Q[/tex]

Required

Determine the number of Dimes

[tex]0.05N + 0.10D + 0.25Q = 5.25[/tex]

[tex]N + D + Q = 48[/tex]

[tex]N = 7 + Q[/tex]

Substitute 7 + Q for N in the first and second equation

[tex]0.05N + 0.10D + 0.25Q = 5.25[/tex]

[tex]0.05(7 + Q) + 0.10D + 0.25Q = 5.25[/tex]

[tex]0.35 + 0.05Q+ 0.10D + 0.25Q = 5.25[/tex]

Collect Like Terms

[tex]0.10D + 0.25Q+0.05Q = 5.25 - 0.35[/tex]

[tex]0.10D + 0.30Q = 4.90[/tex] ----- (1)

[tex]N + D + Q = 48[/tex]

[tex]7 + Q + D + Q = 48[/tex]

Collect Like Terms

[tex]D + Q + Q= 48 - 7[/tex]

[tex]D + 2Q= 41[/tex]

Make Q the subject

[tex]2Q = 41 - D[/tex]

[tex]Q = \frac{41}{2} - \frac{D}{2}[/tex]

[tex]Q = 20.5 - 0.50D[/tex]

Substitute 20.5 - 0.50D for Q in  (1)

[tex]0.10D + 0.30Q = 4.90[/tex]

[tex]0.10D + 0.30(20.5 - 0.50D) = 4.90[/tex]

[tex]0.10D + 0.30*20.5 - 0.30*0.50D = 4.90[/tex]

[tex]0.10D + 6.15 - 0.15D = 4.90[/tex]

[tex]0.10D - 0.15D = 4.90 - 6.15[/tex]

[tex]-0.05D = -1.25[/tex]

Solve for D

[tex]D = \frac{-1.25}{-0.05}[/tex]

[tex]D = 25[/tex]

Hence, there are 25 Dimes


Related Questions

5/9 % of a quantity is equal to what fraction of the quantity?

Answers

Answer: 5/9

Step-by-step explanation:

Shelila had $4.75 to buy pencils for an art class and each pencil costs 89c. How much pencils will she have?

Answers

Answer:

5 pencils

Step-by-step explanation:

4.75 / 0.89 = 5.33

Since you can't buy 1/3 of a pencil, Shelila can only buy up to 5 pencils

x - y = 1
Convert the equation from standard form to slope-intercept form.​

Answers

Answer:

y=x-1

Step-by-step explanation:

The equation is currently in standard form which is a+b=y and slope-intercept is y=mx+b where m is the slope and b is the y-intercept. To change the form we must move the terms around using Properties of Equality.

First, subtract 1 from both sides

x-y-1=1-1

x-y-1=0

Then, add y to both sides

x-y-1+y=0+y

x-1=y

So that is the equation in slope-intercept form with a slope of 1 and a y-intercept of -1.

Answer:

y=x-1

Step-by-step explanation:

It is y=x-1 because first when we do ANYTHING first. We leave the y on the left side of the equation, since the slope y=mx+b has the y always on the left side. So we subtract x from both sides and we get -y=-x+1. We are NOT DONE yet, so after this, we divide both sides by -1. Why? This is because you cannot have a negative y. Dividing both sides by -1 you finally get y=x-1. If this is trouble some to read, I will also put how to solve the problem down below. :)

Let's solve for y.

x−y=1

Step 1: Add -x to both sides.

x−y=1+−x

−x

−y=−x+1

Step 2: Divide both sides by -1.

−y/ −1 = −x+1 /−1

y=x−1

Answer:

y=x−1

Barry is lifting one end of a post so that it will be perpendicular to the ground. He has already lifted it 49° from the ground, but needs a friend to help with the
remaining amount. How many more degrees must the pole be lifted?
O A. 49
OB. 131
O C. 41°
O D. 31°


PLEASE HELP PLEASE 10 POINTS!!

Answers

Answer:

a

Step-by-step explanation:

A .49 your welcome have a nice day

Start with the top figure. Which transformation was used to create the pattern?

Answers

The answer is rotation

The transformation that was used to create the pattern is rotation. The correct option is A, rotation.

What is the transformation in logic?

If two formulae are logically identical, either one may replace the other in any well-formed context without changing anything's truth value or inferential qualities. This is a fundamental property of logic.

The given figure in the top is needed to be transformed such that the pattern given below is produced. Therefore, if we observe the figure at the top and the pattern, then it can be seen that the given figure is rotated by 90° to create the given pattern. The pattern will be formed.

Hence, the transformation that was used to create the pattern is rotation.

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What is the slope.please help

(-2,-11) and (-16,15)

Answers

Answer:

-13/7

is the slope for m I believe

Answer:

26/-14

Step-by-step explanation:

m=y2-y1/x2-x1

15-(-11)=26

(-16)-(-2)=(-14)

26/-14

hope this helps :3

if it did pls mark brainliest

Find the area of the shape shown below.

Answers

Answer:

Step-by-step explanation:

44.5

Answer:

42 units²

Step-by-step explanation:

A = [tex]\frac{(1+6)}{2}[/tex] (12) = 42 units²

If A= 1, Be= 7, then ADD=?

Answers

Answer:

D or DD was not given any factor, but A was given which is 1, ADD= 1 multipltied by D

0.67 as a fraction


A) 67/10,000

B) 67/1,000

C) 67/100

D) 67/10

Answers

Answer:

C

Step-by-step explanation:

i think the answer to it is c

Finding the Vertex What is the vertex of the quadratic function f(x) = (x – 8)(x – 2)? (,) ​

Answers

Answer:

          vertex = (h, k) = (5, -9)

Step-by-step explanation:

[tex]f(x) = (x-8)(x-2)\quad\implies\quad x_1=8\,,\ \ x_2=2\\\\ h=\dfrac{x_1+x_2}2=\dfrac{8+2}2=5\\\\k=f(h)=(5-8)(5-2)=-3\cdot3=-9[/tex]

What is 50 percent of 62?
0.31
3.1
31
310

Answers

Answer:

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 62 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 62 is 100%, so we can write it down as 62=100%.

4. We know, that x is 50% of the output value, so we can write it down as x=50%.

5. Now we have two simple equations:

1) 62=100%

2) x=50%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

62/x=100%/50%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 50% of 62

62/x=100/50

(62/x)*x=(100/50)*x       - we multiply both sides of the equation by x

62=2*x       - we divide both sides of the equation by (2) to get x

62/2=x

31=x

x=31

now we have:

50% of 62=31

50 percent of 62 is equal to 31.  the correct answer is option C) 31.

To convert a number to a percentage, you typically multiply the number by 100 and add the percentage symbol (%).

To find 50 percent of 62, we can calculate it by multiplying 62 by 0.50 (which is equivalent to 50 divided by 100).

62 * 0.50 = 31

Therefore, 50 percent of 62 is equal to 31.

So, the correct answer is option C) 31.

Options A) 0.31, B) 3.1, and D) 310 are not correct as they either incorrectly place the decimal point or exaggerate the value by orders of magnitude. The accurate value is 31.

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Howie's hero his brother, has a beard that grows at a rate of 0.075 inches a week. how how many inched will it grow after 12 weeks?

Answers

Answer:

0.9 of an inch

Step-by-step explanation:

Answer:

His beard will be 0.9 inches long after 12 weeks.

Step-by-step explanation:

0.075 x 12 = 0.9

If m = 3 and n = 2, then m 2 - n 2 is equal to _____. 2 5 1 13

Answers

Answer:

6-4=2

Step-by-step explanation:

3x2=6 2x2=4

Is equal to 2
3*2 - 2*2
6 - 4 = 2

If im born in July 13th, 2007...how old will i be in 2025?

Answers

Answer:

18 years 0 months 0 days

Step-by-step explanation:

or 216 months 0 days

or 939 weeks 2 days

or 6,575 days

or 157,800 hours

or 9,468,000 minutes

or 568,080,000 seconds

Answer:

you will be 18!

Step-by-step explanation:

So if you are born In 2007 add 3 years to that. Now it's 2010 add 10 years to that. Now it is 2020. Now just add another 5 years to that and you get- 18!

Find the units of displacement of the point (4,2) to get the image of (7,7). Chapter (transformation) (coordinates) (translation).

Answers

Answer:

translation (3 right, 5 up)

Step-by-step explanation:

What is the answer to answer to 7m-3m-6<6?

Answers

Answer:

m<3

Step-by-step explanation:

This the answer to the equation.

in scientific notation , 8,599,000,000=8.599.*10^z what is the value of z

Answers

Answer:

6

Step-by-step explanation:

The value of z is the number of zeros in the number, which is 6. Hope this helped!

this is pretty easy

two step equation!!

Answers

Answer:

Step 1: Simplify both sides of the equation.

z

3

−8=−4

1

3

z+−8=−4

1

3

z−8=−4

Step 2: Add 8 to both sides.

1

3

z−8+8=−4+8

1

3

z=4

Step 3: Multiply both sides by 3.

3*(

1

3

z)=(3)*(4)

z=12

Answer:

z=12

Step-by-step explanation:

HELPPPPPP!!!! PLZZZ!!! (all three answers) ill give brain thing

Answers

the car could travel 9,000 ft in 3 hrs .
it would take the car 600 hrs to travel 36,000 ft .

John went to the store and bought a $5.00 magazine and four erasers. If he spent a total of $25.00, how much did each eraser cost?

Answers

Answer:

Each eraser costed 5 dollars

Step-by-step explanation:

25.00 - 5.00= 20.00 and 20.00 ÷ 4=5 and 5x4=20

Rate of change and unit rate basically
mean the same thing.

false or True?


Answers

Answer: yes they are the same

what is 2 over 3 divided by 4 over 5​

Answers

Answer:

it is .8333333333 and more 3's forever

Step-by-step explanation:

Answer:1/2

Step-by-step explanation:

Based on the diagram, which expresses all possible lengths of segment AB?

AB = 25
27 81

Answers

Answer:B

Step-by-step explanation:

27 < AB < 81 expresses all possible lengths of segment AB

What is Inequality?

A relationship between two expressions or values that are not equal to each other is called 'inequality.

The sum of the lengths of any two sides of a triangle is greater than the length of the third side (Triangle Inequality Theorem)

So AC+BC>AB

27+54>AB

81>AB

AB<81

27+AB>54

AB>54-27

AB>27

54+AB>27

AB>-27

Hence, 27 < AB < 81 expresses all possible lengths of segment AB

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Based on the diagram, which expresses all possible lengths of segment AB?

AB = 25

27 < AB < 81

AB = 85

AB< 27 or AB > 81

Combine like terms

7a^2+ 10a - За - 2а2^2

Answers

Answer:

5a^2+7a

Step-by-step explanation:

You combine things based off the variable and exponent. So if  they have the same variable and exponent, you put them together. 7-2=5 and 10-3=7 so your answer is 5a^2+7a

The answer to your question is 5a^2+7a

A ship anchored in a port has a ladder which hangs over the side. The length of the ladder is 200cm, the distance between each rung in 20cm and the bottom rung touches the water. The tide rises at a rate of 10cm an hour. When will the water reach the fifth rung?

Answers

Bakugou here:

Answer:

The tide raises both the water and the boat so the water will never reach the fifth rung.

Step-by-step explanation:

Brainlyest??!!

Which point is a solution to the inequality shown in this graph?

Answers

The answer would be (3,-1), Since the line is solid and not dotted, any point on the line or in the shaded region would be a valid solution.

A box contains 48 marbles.
1/3 of them are red.
1⁄2 of them are blue
The rest are green?
How many are green marbles?

Answers

Answer:

8

Step-by-step explanation:

1/2 of 48 marbles is 24

1/3 of 24 is 8

hope this helps

Help please -?
An answer and an explanation to understand would be helpful

Answers

Answer:

A c b

Step-by-step explanation:

A

Maggie bought a pound of bananas and 4 boxes of cereal for $10.11. If each box of cereal cost $2.40, what was the price of a pound of bananas? $0.51 $0.61 $1.51 $2.91 I WILL GIVE YOU 23 POINTS!!!! PLEASE ANSWER FAST AND CORRECTLY!

Answers

Answer: the answer is 0.51

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

2. Kevin asked Olivia what parallel lines are. Olivia responded, "They are lines that never
intersect.
What important piece of information is missing from Olivia's response?
A. The lines must be straight.
B. The lines must be coplanar.
C. The lines can be noncoplanar.
D. The lines for four right angles.

Answers

A I hope this really helps
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