Sarah has $12.45 in quarters and nickels. She has 39 more nickels than quarters.

How many of each coin does she have?

Answers

Answer 1

Answer:

There are 14 nickes, 24 dimes and 48 quarters

Step-by-step explanation:

let x represent the number of nickels.

As she has 10 more dimes than nickels, the number of dimes is x + 10.

As she has twice as many quarters as dimes, the number of quarters is 2(x + 10)

the total value is $15.10, so I get an equation:

0.05x + 0.1*(x + 10) + 0.25*2(x + 10) = 15.10

0.05x + 0.1x + 1 + 0.5x + 5 = 15.10

0.65x = 9.1

x = 14

x + 10 = 24

2(x + 10) = 48


Related Questions

What algebraic expression could represent the average of 2x, x + 3, and 6x?

Answers

Answer:

3x+1

Step-by-step explanation:

(2x+x+3+6x)/3

9x+3/3

3x+1

The final result is a simplified algebraic expression 3x + 1 that represents the average of 2x, x + 3, and 6x.

What is the expression?

Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.

The average of 2x, x + 3, and 6x can be represented by the algebraic expression (2x + (x + 3) + 6x)/3.

This expression takes the sum of 2x, x + 3, and 6x, and then divides that sum by 3, which is the number of terms being averaged.

Alternatively, the average can be represented by (2x + x + 6x + 3) / 3 = (9x + 3) / 3 = 3x + 1.

In either case, the final result is a simplified algebraic expression that represents the average of 2x, x + 3, and 6x.

Learn more about Expressions here :

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which geomic principle is used to justify the construction below?​

Answers

Answer:

where are the answers because this sounds like a multiple choice

Step-by-step explanation:

The lines shown below are parallel. True or false?

Answers

Answer:

yes, true

Step-by-step explanation:

Answer:

the answer is true because they dont intersect

Step-by-step explanation:

Show work.

Simplify 5! 3! / 2! 2!

Answers

Answer:

Simplify the expression.

Exact Form:

41 /12

Decimal Form:

3.41 6

Mixed Number Form:

3  5 /12

Evaluate 2√2/(√2-√3)

Answers

Answer:
4-2√6
Explanation:

Find the equation of a line that passes through the points (1,-3) and (3,-7).
Leave your answer in the form
y=mx + c

Answers

See attachment for math work and answer.

HURRY PLEASE I’ll mark you as brainliest

What is the line's y-intercept?

Answers

Answer:

1

Step-by-step explanation:

2. La suma de los cuadrados de dos números reales pares consecutivos es 52
Encuentra los números

Answers

Answer: ±4 y ±6

Step-by-step explanation:

Algunas definiciones:

Sea N un numero real.

El cuadrado de un numero es:

N^2.

Ahora, nos dicen que N es par, entonces podemos escribir:

N = 2*n

donde n es un numero entero.

Y el par consecutivo a N, va a ser M = N + 2.

M = 2*n + 2.

Entonces:

"La suma de los cuadrados de dos números reales pares consecutivos es 52"

(2n)^2 + (2n + 2)^2 = 52

Tenemos que resolver esto para n.

4n^2 + 4n^2 + 8n + 4 = 52

Entonces tenemos una ecuación cuadrática:

8*n^2 + 8n + 4 - 52 = 0

8*n^2 + 8n - 48 = 0

Antes de usar la ecuación de Bhaskara, dividamos todos los coeficientes por un factor común, en este caso 8 es un factor común:

(8*n^2 + 4n - 48)/8 = n^2 + n - 6 = 0.

Ahora resolvamos esto para n, las dos soluciones son

[tex]n = \frac{-1 +-\sqrt{1^2 - 4*1*-6} }{1*2} = \frac{-1 +- 5 }{2}[/tex]

Entonces las dos soluciones son:

n = (-1 - 5)/2 = -3

n = (-1 + 5)/2 = 2

Entonces, si tomamos la primer solucion, los numeros consecutivos son:

N = 2*-3 = -6

M = N + 2 = -4

Si tomamos la segunda solucion, n = 2.

N = 2*2 = 4.

M = N + 2 = 6.

Entonces podemos concluir que las soluciones son:

±4 y ±6

Find the area of the whole triangle . Show all work.

Answers

Answer:

44 i believe

Step-by-step explanation:

Q5. A car is bought for £5000 and sold for £7500.
What is the percentage profit?

Answers

Answer:

50% profit

Step-by-step explanation:

Cost price = £ 5000

Selling price = £ 7500

Profit  = Selling price - cost price

        = 7500 - 5000

       = £ 2500

Profit percentage = [tex]\frac{2500}{5000}*100[/tex]

                             = 50 %

Mikel has a chance to win a trip on a TV game show. All he has to do is win the “Shopping Game". In
this game, Mikel is shown six grocery store items without being shown the prices. He must buy
multiples of items until he has a total between $20 and $21 inclusive. If he doesn't reach $20 with his
first item, he continues buying items and adding to his total, until he either wins by getting an amount
between $20 and $21, or he loses by going over $21 or by buying all items and being less than $20.
First, Mikel buys six bottles of shampoo.
Solve the inequality. Round each answer to the hundredths place.

Answers

Answer:  

$20 <= X < = $21

Step-by-step explanation:

You are told that he loses by going over $21 or by buying all items and being less than $20.

That means the total amount of the items bought must be equal to 20 dollars or 21 dollars or be within the two amount of money.

If Mikel buys six bottles of shampoo,  x represents the total amount for the six bottles of shampoo. Then, the compound inequalities for this expression will be x less than or equal to 21 dollars and x greater than or equal to 20 dollars. That is,

$20 <= X < = $21

Solve and prove the solution for the equation -2(1-4x)=3x+8.



Answers

Answer:

x=2

Step-by-step explanation:

-2(1-4x)=3x+8

-2*1 and -2*-4x

-2+8x=3x+8

+2  -3  -3 +2

5x=10

/5.  /5

x=2

This is the answer hope you get it to prove the result just apply the value of x and see if the equation is true

Find the area of this quadrilateral.

Answers

I think the area is 24

4x + y =1
x + 2y = 9

Answers

Answer:

x=-1 y=5

Step-by-step explanation:

A. 4x+y=1 multiply the equation negative 2

B. x+2y=9

-8x-2y=-2 add this to equation b

x+2y=9

-7x=7 divide both sides by -7

x=-1

now substitute x for -1 in either of the original equations

-4+y=1 add 4 to both sides

y=5

-4+5=1

-1+10=9


Charlie and Kathy want to borrow $21254 to make some home improvements. Their bank will lend them the money for 9 years at an interest rate of 5.07%. How
much will they pay in interest?

Answers

Answer:

$ 9698 will be paid paid in interest.            hope this helps.

Step-by-step explanation:

interest= prn/100

i= 21254x9x5.07/100

i= $ 9698.2

witch of the following best describes the slope of the line below ​

Answers

Answer- undefined slope

A vertical line yields an undefined slope.

Answer is D.

Write your answer as a whole number and remainder.
73 : 8= R

Answers

Answer:

9 R 1

Step-by-step explanation:

73/8 = 9 R 1

we know 8x 9 = 72 so we know we have a remainder of 1

Distribute -2x(-1+3x) whoever answers my questions first gets Brainliest.

Answers

Answer: 2x-6x^2

-2x*-1 = 2x

-2x*3x=-6x^2

−6x2+2x

Step-by-step explanation:

(−2x)(−1+3x)

=(−2x)(−1+3x)

=(−2x)(−1)+(−2x)(3x)

=2x−6x2

=−6x2+2x

What is the scale factor of 12?
Scale factor: A number that enlarges/reduces a figure or shape
Greater than 1
Less than 1
Equal than 1
Need Help!!!!

Answers

Answer:

Equal to 1

Step-by-step explanation:

By using the exponential delta we can infer that the orthogonal is correct because the high order bits multivariate and are asymptomatic.

3x−(2x+1) for x=7 5/13

Answers

Answer:

83/13 or 6.3846

Step-by-step explanation:

i subsituted for x and used a calculator

A local supermarket sells shrimp $9.49/lb and beef for $5.99/lb Todd buys s pounds of shrimp and b pounds of beef. Which of the following inequalities represents that Sandy only has $65 to spend?

Answers

Answer: 9.49s + 5.99b ≤ 65

Plz mark brainliest:)

help me please '
Solve for x and y

Answers

Answer: what is X and y?

Step-by-step explanation:

we need the equation

The Huggins family went out to dinner. The price of the meal was $62.95. The sales tax is 8% of the
price of the meal. The tip is 15% of the meal and the sales tax. How much money did the family
pay for the meal, including tax and tip?

Answers

Answer:

$62.95 (meal) + $5.03 (sales tax) +$.75 (sales tax tip) + $9.44 (meal tip)

Total: $78.17

Answer:

$78.19

Step-by-step explanation:

To find the total after the sales tax is charged you have to do

$62.95 x 1.08 (1 = to the total and .08 to add sales tax value) =$67.986  round*

Now you take $67.99 (has been rounded) and multiply but .15 to find out what is 15% of $67.99 , it comes out to be 10.1979 (Round)

Now to finish you add $67.99 +$10.20 = $78.19

what is the equation of the line that contains the points (3,5) and (7,9)​

Answers

Answer:

y=x+2

Step-by-step explanation:

The required equation of line will be y = x + 2.

It is given that a line contains points (3,5) and (4,9).

We have to find out the equation of the line.

What is the general equation of a line ?

The equation of a line is y = mx + c.

As per the question line contains points ;  

(x1,y1) = (3,5) and (x2,y2) = (7,9) .

Using these points, firstly , we need to find the value of m  ;

m = ( y2-y1) / (x2-x1)

   m = ( 9-5) / (7-3)

   m = 4 / 4

   m = 1

We now need to find out the value of c.

Since , (7,9) is on the line this meant this meant value of c is 2.

Putting the value of m and c in general equation of line i.e., y= mx + c

y = 1 × x + 2

y= x + 2

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A model with 1 shaded part and 3 unshaded parts. Write the unit fraction depicted in the model as a percent. One-fourth = ?

Answers

Answer: one-fourth = 25%  because= 1/4*100= 1*25= 25%

Hope it Helped! :3

Answer:

1/4=25%

Step-by-step explanation:

Hope this helps

397 x 543 in partial product mltipulcation box

Answers

Answer:

215571 hope this helps :)

Answer:

to be fair don't ask me plz  

Step-by-step explanation:

25 points help me please

Answers

Answer:

we need to know what the question is.

Step-by-step explanation:

Greg paid $22.05 for a backpack. This amount includes a sales tax of 5%. What was the cost of the
backpack before tax?

Answers

Answer:

21.00

Step-by-step explanation:

21.00 I think (sorry if it wrong!!)

The cost of the backpack before tax was $20.94 if Greg paid $22.05 for a backpack. This amount includes a sales tax of 5%.

What is the percentage?

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

It is given that:

Greg paid $22.05 for a backpack. This amount includes a sales tax of 5%

Let x be the cost of the backpack before tax.

22.05(1 - 5%) = x

x = 22.05(1 - 0.05)

x = $20.94

Thus, the cost of the backpack before tax was $20.94 if Greg paid $22.05 for a backpack. This amount includes a sales tax of 5%.

Learn more about the percentage here:

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Write the equation of a line with a slope of 1/4 and a y-intercept of -5 in slope intercept form.

Answers

Answer:

y=1/4x-5

Step-by-step explanation:

slope goes before x and y intercept is the number with no variable.

A bus arrives at Stop A every 14 minutes and a bus arrives at Stop Bevery 20
minutes. Both buses just arrived at their stops. After how many minutes will both
buses stop at the same time again?

A. 70 minutes

B. 60 minutes

C. 140 minutes

D. 280 minutes


*please help, I’ll give you brainliest :)

Answers

Answer:

b or a

Step-by-step explanation:

If bus A arrives after 14 minutes and bus B arrives after 20 minutes, then both buses will arrive at 140 minutes.

Given:

Bus A = 14 minutesBus B = 20 minutes

How to find the Least common multiple(LCM)

Find the least common multiple of 14 minutes and 20 minutes

14 minutes = 14, 28, 42, 56, 70, 84, 98, 112, 126, 140, 154, 168, 182, 196, 210, 224, 238, 252, 266, 280....

20 minutes = 20, 40, 60, 80, 100, 120, 140, 160, 180, 200, 220.....

Therefore, the least common multiple of 14 minutes and 20 minutes is 140 minutes.

Learn more about LCM:

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