zachary has six times as many nickels as dimes and four times as many quarters as dimes. zachary has a total of ninety-nine nickels, dimes, and quarters. The total value of the coins is $12.60. How many of each coin does he have?

Answers

Answer 1

Answer:

nickels: 54dimes: 9quarters: 36

Step-by-step explanation:

The ratio of nickels to dimes to quarters is given as ...

  N : D : Q = 6 : 1 : 4

The total number of ratio units is 6 +1 +4 = 11. The total number of coins is given as 99, so each "ratio unit" must represent 99/11 = 9 coins. That is, the actual coin count ratios are ...

  N : D : Q = 54 : 9 : 36

Zachary has 54 nickels, 9 dimes, and 36 quarters.

__

Check

The value of the coins is ...

  $0.05 × 54 +$0.10 × 9 +$0.25 ×36 = $2.70 +0.90 + 9.00 = $12.60


Related Questions

Find the midpoint (-1,3) and (5,-4)

Answers

Answer:

(2,-0.5)

Step-by-step explanation:

Answer: (2,-0.5)

Step-by-step explanation:

You need to find the difference between the x's and the y's, then divide by 2.

Step 1: Find the difference between the x's

5 + -1 = 4

Step 2: Find the difference between the y's

-4 + 3 = -1

Step 3: Divide both the results by 2

4/2 = 2

-1/2 = -0.5

Hours
7 2/3
1 2/5
4 3/4
8 4/5​

Answers

1. 7 hours and 40 min
2. 1 hour and 24 min
3. 4 hours and 45 min
4. 8 hours and 48 min

Give the vertices of a triangle that dilated twice as big as triangle ABC if A(0, 0), B(8, 2), and C(12,5) (centered at the origin).

Answers

Answer:

0,0

16,4

24,10

multiple both numbers by two and those should be the coordinates

n + 6
5
2

= 17
solve n please

Answers

Hey there!

=> n + 652 = 17 { Substract 652 from both sides}

=> n + 652 -652 = 17 - 652

=> n = 17 -652

=> n = -635

Therefore, N = -635

What is the slope of a line perpendicular to the line whose equation is 6x-10y=140. Fully simplify your answer.

Answers

y=14

10y=140

Divide both sides by 10.

y=

10

140

Divide 140 by 10 to get 14.

y=14

The slope of a line perpendicular is -5/3 to the line whose equation is 6x-10y = 140.

What is the slope of the line?

The slope of a line is defined as the inclination of the line. It is denoted by m

Slope m = (y₂ - y₁)/(x₂ -x₁ )

Make the following equation in slope-intercept form:

y = mx + b

where m denotes the slope and (0,b) denotes the y-intercept (the point at which x = 0).

The given equation is:

6x - 10y = 140

-10y = - 6x + 140

Divided by -10 into both sides of the equation,

y = (6/10)x + 140/(-10)

y = (3/5)x -14

Here m = 3/5, b is (0,14)

The slope of this line is 3/5.

The slope of all of its perpendicular lines is (-1/m), which is the negative reciprocal of slope m.

Therefore, the slope of all perpendicular lines is (-5/3).

Learn more about the Slope of the Line here:

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#SPJ2

Find the product of −35∙−1.5.

Answers

Answer:

If I read the question right, then the answer is -36.5.

Step-by-step explanation:

Like I said, only if I read the question right. I read it as

(-35) - 1.5.

If I'm wrong, then I'm sorry.

The product of (−35)∙(−1). (5) will be 105. It is obtained by multiplying the term one by one.

What is an arithmetic operation?

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

We can utilize multiplication for a number of common tasks, such as figuring out how much it will cost to buy several identical things, calculating sales tax, and figuring out area and other geometric measurements.

It is given that,

=(−35)∙(−1).5


Multiply the term step by step as

=(−35)∙(−1).5

The multiplication of two negative terms gives a positive value.

=(35)5

=105

Thus, the product of (−35)∙(−1). (5) will be 105. It is obtained by multiplying the term one by one.

Learn more about the arithmetic operation here:

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X
300
A *=97,7-9
B. x = 18, y=9.13
C. x=9/3, y=45
D. *= 6/3.y-3/

Answers

Answer:

i think it is B

Step-by-step explanation

i hope this helps

PLZ PLZ PLZ ANSWER THIS I HAVE NO IDEA WHAT RATIOS ARE!!!!
I WILL MARK THE BRAINLIEST!!!

Answers

Answer:

1:2

Step-by-step explanation:

There is 1 hexagon and two rectangles

Answer:

1:2

Step-by-step explanation:

Choose the net for the three-dimensional figure.
Hurry please guys

Answers

I think it will be C

The time to assemble a television at a factory is 2.5 hours. A stereo only requires 1.5 hours. The factory workers can supply at least 580 and at most 750 hours of assembly time each week. The factory is producing 3 times as many televisions as stereos. What is the inequality?
A) 580=<4x=<750
B) 580<4<750
C)580=<9=<750
D)580<4<750

Answers

Answer: a

Step-by-step explanation:

In the Long Beach Air Race, six planes are entered and there are no ties, in how many ways can the first three finishers come in?

Answers

Answer:

swim bike and run.

Step-by-step explanation:

The data set below shows the number of blocks John walked each day for ten days. If John’s sister wanted to use a measure of central tendency to argue that an average person walks more than John, which measure would she use?



A. the mean
B. the median
C. the mode
D. None of the measurements are accurate.

Answers

Answer:

the mean

Step-by-step explanation:

the mean basically means average, and you have to find out the average distance so ya.

hope this helps

please mark as brainliest thank you

Let f(x) = x – 4 and g(x) = x^2 – 16.
Perform the function operation f(x) + g(x) and then find the domain.​

Answers

Answer:

  f(x) +g(x) = x^2 +x -20

  domain: all real numbers

Step-by-step explanation:

The sum of two polynomial functions is found by adding the terms of each function definition:

  f(x) +g(x) = (x -4) +(x^2 -16)

  f(x) +g(x) = x^2 +x -20

__

The domain of any polynomial is "all real numbers." The set of polynomials is closed to addition, meaning the sum of any polynomials is another polynomial. The sum, too, will have a domain of "all real numbers."

A flag has an area of 504 square inches. Its perimeter is 92 inches. What are the dimensions of the flag?

Answers

Length: 28 inches
Width: 18 inches

One lane on a motorway is closed by cones for a distance of 1 mile. The cones are placed 4 feet apart. How many cones are used?

Answers

Answer:

1320 cones

Step-by-step explanation:

1 mile = 5280 feet

For every 4 feet, 1 cone is placed so

5280/4 = 1320

Therefore 1320 cones are used.

Any questions lmk

Factor completely 2x3 8x2 3x 12. (2x2 3)(x 4) (2x2 3)(x − 4) (2x2 − 3)(x 4) (2x2 − 3)(x − 4).

Answers

The factorisation of the polynomial [tex]2x^3+8x^2+3x+12[/tex] can be done as [tex](2x^2+3)(x+4)[/tex].

What is a factor?

A factor of n is a number that when multiplied by another number gives us the number n.

In order to factorise the given polynomial, we need to take the common terms out, therefore, the factorisation of the given polynomial can be done as,

[tex]2x^3+8x^2+3x+12[/tex]

Take 2x² as the common term from the first two terms and 3 from the last two terms,

[tex]2x^3+8x^2+3x+12\\\\= 2x^2(x+4)+3(x+4)\\\\=(2x^2+3)(x+4)[/tex]

Hence, the factorisation of the polynomial [tex]2x^3+8x^2+3x+12[/tex] can be done as [tex](2x^2+3)(x+4)[/tex].

Learn more about Factors:

https://brainly.com/question/6810544

find the median of the following 3,6,7,4,5,9,8,9,7​

Answers

Answer:

7

Step-by-step explanation:

Median is the middle number from least to greatest meaning that 7 is the median.

Answer:

7

Step-by-step explanation:

Let's first sort it form lowest to highest. So it's going to be 3,4,5,6,7,7,8,9,9. Now, we ifnd the middle ofit, which is 7. The middle number of the sequence is 7 becaue there are 9 numbers total so that means that the 5th number is the median.

dentify the domain of the relation {(2,-3), (6, 2), (-5, 9)}. Be sure to use a comma between the numbers and write the domain in order from smallest to largest

Answers

Answer:

D: -5,2,6

Step-by-step explanation:

Brett bought x adult tickets at $5 each and y children tickets at $2 each. He spent $60
total. Solve for y

Answers

Answer:

Step-by-step explanation:

x->5

y->2

x*5+y*2=60

if x=10——> y=5 ——> 50+10=60

if x=8——> y=10——> 40+20=60

if x=6——> y=15 ——> 30+30=60

if x=4——> y=20 ——> 20+40=60

if x=2——> y=25 ——> 10+50=60

Angle 4 and Angle _____ are vertical angles.

Answers

The answe 4;6 hence the vertical angle being 4

A photographer needs a frame for a 16 x 20 inch picture, such that the total area is 340 in2. Calculate the width of the frame. Which of the following quadratic equations would be used when solving this?

Answers

Answer:

A photographer needs a frame for a 16 x 20 inch picture, such that the total area is 340 in2. Calculate the width of the frame. Which of the following quadratic equations would be used when solving this?

Step-by-step explanation:

who df deleted my answer

BebeHowILook

Answer: 4x^2+72x=20

Step-by-step explanation: I took the quiz.

Find the ratio of the areas of two circles of radii 8 cm and 12 cm comparing the smaller circle to the larger circle. Write the correct answer in the space below. Don't forget to simplify your ratio (both areas have pi in them). Please write your ratio as a fraction.

Answers

Answer:

4π : 9π

Step-by-step explanation:

→ Find the area of circle with radius 8

π × 8² = 64π

→ Find the area of circle with radius 12

π × 12² = 144π

→ Simplify ratios

64π : 144π ⇒ 4π : 9π

If a - b=7, what is also true?
A
B
C
D

Answers

Answer:  B. a + (-b) = 7

Step-by-step explanation:

The answer is B. a + (-b) = 7. a + (-b) is the same thing with a - b.

A. a + b = -7

a - b = 7 means the differences of a and b is 7, choice A is talking about their sum, so it could not be true.

C. -a - b = 7

if you multiply -1 on both sides, you will get a + b = -7. Therefore, it will not be true.

D. b - a = 7

a - b = 7 means that a is 7 more than b. The choice d shows the opposite, which it states that b is 7 more than a. Therefore, it is not true.

PLEASE HELP ASAP!!!!!!!!!!!!
Ari mixed 2 1/4
cups of red grapes with 1/2 cups of green grapes. He then divided the grapes into bags with 3/4 cup of mixed grapes in each. How many bags of grapes will Ari have?

Answers

Look at the picture below please

Answer:

3

Step-by-step explanation:

PLEASE HELP ME!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

smal and blurry

Step-by-step explanation:

What are the coordinates of A after reflecting across the line x = 3?

Answers

Answer:

It would be (3,2) since it is being reflected over the line it is already on

Step-by-step explanation:

Answer:(3,2)

Step-by-step explanation:Doube check make sure you double check and not click (3,-2) THAT IS NOT THE ANSWER THE ANSWER IS (3, 2)

What is the surface area of this design? 8,8,8

Answers

Hi!

To find the surface area, we must first find the area of all of the faces and then add them together.

Because every face is the same size, the formula will be:

6(8 x 8)

6 represents the number of faces and 8 x 8 represents the formula to find the area of each.

6(8 x 8) =

6(64) =

384

The surface area of the cube is 384 square inches.

I hope this helps you!

-Nishaun

You put money in two different accounts for one year each. The total simple interest for the two accounts is $140. You earn 6% interest on the first account, in which you deposited $1000. You deposited $800 in the second account. What is the annual interest rate for the second account?

Answers

You put money in two different accounts for one year each. The total simple interest for the two accounts is $140. You earn 6% interest on the first account, in which you deposited $1000. You deposited $800 in the second account. What is the annual interest rate for the second account?

The answer step-by-step in the photo :

Suppose c and d vary inversely, and d=2 when c=17.

a. Write an equation that models the variation.
b. Find d when c=68.

Answers

Answer:

a. x - cd = 0

b. d = 1 / 2

Step-by-step explanation:

d = 2

c = 7

a.

c is inversely proportional to d,

c ∝ 1 / d

This inversely proportional need to be removed by using a variation / variable.

Let the variable be " x ".

c = x / d

Multiply d on both sides,

cd = x

x = cd

Subtract cd on both sides,

x - cd = 0

Hence, the equation is " x - cd = 0 ".

b.

By using the equation,

x - cd = 0

Add cd on both sides,

x = cd

c = 17, d = 2

x = 17 * 2

x = 34

To find d, when c = 68.

x = cd

34 = 68 * d

Divide 68 on both sides,

34 / 68 = d

1 / 2 = d

d = 1 / 2

write two expression who sum is:

Answers

Answer:

x^2+x

Step-by-step explanation:

multipling all sides by x+1

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