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


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Answers

Answer:

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Step-by-step explanation:

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

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Answers

Answer:

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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]

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
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O A. 49
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O C. 41°
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PLEASE HELP PLEASE 10 POINTS!!

Answers

Answer:

a

Step-by-step explanation:

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Answers

Answer:

-13/7

is the slope for m I believe

Answer:

26/-14

Step-by-step explanation:

m=y2-y1/x2-x1

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if it did pls mark brainliest

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

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Answer:

translation (3 right, 5 up)

Step-by-step explanation:

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??!!

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Answer: the answer is 0.51

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

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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:

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Answer:

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Step-by-step explanation:

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

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Answer:

18 years 0 months 0 days

Step-by-step explanation:

or 216 months 0 days

or 939 weeks 2 days

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or 157,800 hours

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Step-by-step explanation:

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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%

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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

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62/2=x

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x=31

now we have:

50% of 62=31

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

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Help please -?
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Answers

Answer:

A c b

Step-by-step explanation:

A

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?
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C. The lines can be noncoplanar.
D. The lines for four right angles.

Answers

A I hope this really helps

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Answers

Answer:

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

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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

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

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

Step-by-step explanation:

44.5

Answer:

42 units²

Step-by-step explanation:

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Answers

Answer:

8

Step-by-step explanation:

1/2 of 48 marbles is 24

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hope this helps

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Answers

Answer:

Step 1: Simplify both sides of the equation.

z

3

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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

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3*(

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Step-by-step explanation:

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B) 67/1,000

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Answers

Answer:

C

Step-by-step explanation:

i think the answer to it is c

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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

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Answer:

m<3

Step-by-step explanation:

This the answer to the equation.

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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.

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Answer:

6-4=2

Step-by-step explanation:

3x2=6 2x2=4

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Answer:

it is .8333333333 and more 3's forever

Step-by-step explanation:

Answer:1/2

Step-by-step explanation:

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