You have 59 total coins in a jar on your nightstand at home. The total amount of money is $12.05. You only have quarters and dimes. How many of each type of coin do you have? (hint - use a different method to write and solve the system).​

Answers

Answer 1

9514 1404 393

Answer:

41 quarters18 dimes

Step-by-step explanation:

When there are two contributors to the mix, it usually works well to let a variable represent the quantity of the larger contributor. Here, that larger contributor is the quarter.

Let q represent the number of quarters. Then 59-q is the number of dimes. The value of the coins, in cents, is ...

  25q +10(59 -q) = 1205

  15q +590 = 1205 . . . . . . . . eliminate parentheses, collect terms

  15q = 615 . . . . . . . . . . . subtract 590

  q = 41 . . . . . . . . . . divide by 15

  59-q = 59 -41 = 18 . . . . . number of dimes

You have 41 quarters and 18 dimes.


Related Questions

E = MV^2 ÷ 2 + mgh, Make V Subject of the formula​

Answers

Answer:

[tex] \red{ \bold{ V = \sqrt{\frac{2(E - mgh)}{M}}}}[/tex]

Step-by-step explanation:

[tex]E = MV^2 ÷ 2 + mgh \\ \\ E - mgh = MV^2 ÷ 2 \\ \\ 2(E - mgh)= MV^2 \\ \\ \frac{2(E - mgh)}{M}=V^2 \\ \\ \sqrt{\frac{2(E - mgh)}{M}} = V \\ \\ \red{ \bold{ V = \sqrt{\frac{2(E - mgh)}{M}}}}[/tex]

8. I NEED HELP ASAP!! PLEASE PUT AND ANSWER AND STEP BY STEP EQUATION!! IF YOU DON'T KNOW THE ANSWER DON'T PUT ANYTHING!!

Write a rule for the linear function in the table.


A. f(x) = 1/2x +1


B. f(x) = –2x – 1



C. f(x) = x + 5



D. f(x) = 2x + 1

Answers

Answer:

I DON'T KNOW THE ANSWER

Step-by-step explanation:

SORRY

the total for dinner was $55 before a discount and tax there was a 10% discount and 7% sales tax
use the tiles to create and expression that could be used to find the total

55xblank x blank

use :0.10 0.9 1.07 0.07 to make the equation ​

Answers

Answer:

( 55 x .10 ) x .07

whats 8/7 as a decimal?

Answers

What 8/7 as a decimal is 1.14285…

cos4A+sin4A-2cos2Asin2A=(2cos2A-1)2 prove it.​

Answers

cos4A-sin4A=2cos2A-1

proved below.

Step-by-step explanation:

Given:

cos^4A-sin^4A=2cos^2A-1

LHS=cos^4A-sin^4A

=[cos^2A]^2-[sin^2A]^2

=[cos^2A+sin^2A][cos^2A-sin^2A]

=[1][cos^2A-(1-cos^2A)] [ cos^2A+sin^2A=1]

=[cos^2A-1+cos^2A]

=2cos^2A-1

=RHS.

What is the difference between -2^4 and (-2)^4

I know the answer but how do you explain it?

Answers

Answer:

no difference

When you multiply negative numbers together an even number of times, they change from negative to positive.

Step-by-step explanation:

Write a similarly comparing the three triangles in the diagram

Answers

Answer:

ΔBCE similar to ΔECD similar toΔBED

Step-by-step explanation:

ΔBCE similar to ΔECD similar toΔBED

URGENT!!! PLS HELPPP!!!​

Answers

Answer:

17 and 19

Step-by-step explanation:

help PLEASE!!! [URGENT]

Answers

The answer is c because its c

Find a possible solution to the equation cos(x+2) = sin(3x)

A. x=0.5
B. x=1
C. x=22
D. x=44

Answers

Answer: C. x=22

Step-by-step explanation:

cos(22+2)= 0.913545457

sin(3*22)= 0.913545457

So, cos(x+2)=sin(3x)

The answer to your question is c!

flora has a summer job where she earns $9.50 per hour. At this company, employees get a 10% raise after working for 400 hours. If flora works 640 hours over the summer, how much money will she make?

Answers

So if she works 640 hours we need to find out how much of that gets the 10% raise
640-400=240
So 240 hours get a 10% raise
400 • $9.50= $3,800
To find out how much the raise effects it
$9.50 • 10%= $0.95 + $9.50= $10.45
So the rates for the hours over 400 are $10.45
240 • $10.45=$2,508

$2,508 + $3,800= $6,308
So she made $6,308

Find the slope .
What does this mean?
Find the y intercept.
What does this mean?

Answers

slope = y2-y1 / x2-x1
intercept= y=mx+b
m(the slope) b( y-intercept)

8-3(6-6x) please help

Answers

Answer:

-10 + 18x

Step-by-step explanation:

8-3 (6-6x)

distribute -3 with the numbers inside the parenthesis and you end up with

8 -18 + 18x

and you simplify by subtracting 18 from 8 so you get

-10 + 18x

The simplified form of the expression  8 - 3(6 - 6x) is -10+18x.

To simplify the expression 8 - 3(6 - 6x), we can apply the distributive property to remove the parentheses.

Distribute the -3 to both terms inside the parentheses:

8 - 3 × 6 + 3 × 6x

Simplify the multiplication:

8 - 18 + 18x

Combine like terms:

-10 + 18x

Therefore, the simplified expression is -10 + 18x.

To learn more on Expressions click:

https://brainly.com/question/14083225

#SPJ6

ABC is similar to XYZ. The length of AB is 3 inches. The length of BC is 5 inches. The length of YZ is 13 inches. What is the length, in inches of XY

Answers

Answer:

7.8

Step-by-step explanation:

At a carnival, the cost to play a bowling game is $2, plus $0.40 for each attempt to knock over the pins. Which inequality would you use to find the number of attempts you can make if you have less than $4.30

Answers

Answer:

a

Step-by-step explanation:

Can someone help? Correct answer gets brainliest!

Answers

Answer:x= 8

Step-by-step explanation:11-3=8. 8+3=11

Solve the following equation for p. Select all possible solutions. | p/2-1 |= 0.5
0.5
4
2
3
1
5

Answers

Answer:

4

Step-by-step explanation:

Solve for a.

6a−15=72

A.12
B.27
C.14 1/2
D.9 1/2

Answers

The answer is 14.5 or 14 1/2. This is done by

6a-15=72
add 15 to both sides
6a = 87
Divide 6
a = 14.5

Answer:C

Step-by-step explanation:

If the radius is 10 ft, what will the area of the circle be?

Answers

Answer:

A=πr2=π·102≈314.15927ft²

Step-by-step explanation:

Answer:

314.16

Step-by-step explanation:

The formula is [tex]\pi rx^{2}[/tex]

A flagpole casts a shadow 16 feet long.
Shanika is standing near the pole. Her
shadow is 4 feet long. Shanika's height is 5
feet. How tall is the flagpole?

Answers

Step-by-step explanation:

Since Shanika is standing near the pole, we can safely assume that the triangle formed by Shanika and her shadow is a smaller version of the triangle formed by the pole and its shadow.

By similar triangles:

[tex] \frac{x \: of \: pole}{y \: of \: pole} = \frac{x \: of \: shanika}{y \: of \: shanika} \\ \frac{16}{ height \: of \: pole} = \frac{4}{5} \\ 16(5) = 4 \times height \: of \: pole \\ height \: of \: pole = \frac{80}{4} \\ = 20[/tex]

The height of the pole is 20ft.

A store has apples on sale for $21.00 for 6 pounds. If an apple is approximately 5 ounces, how many apples can you buy for $126.00? Complete the explanation.

Answers

Answer:

115 apples

Step-by-step explanation:

6 pounds of apple = $21.00

Cost per pound :

$21.00 / 6 = $3.5 per Pound

1 pound = 16 ounces

16 ounces cost $3.5

1 ounce = $3.5 / 16 = $0.21875

5 ounces will cost :

5 * 0.21875 = $1.09375

Number of 5 ounce apple that can be purchased with $126

$126 / $1.09375

= 115.2

Approximately 115 apples

help plsss how do you find the size of angle ABE​

Answers

Answer:

∠b = 90°

Step-by-step explanation:

If you wrote it correctly then ∠d will = 90°, right?

We have AB ║(which is parallel to) D => ∠b = ∠d = 90°

P/S: I think that you took the wrong photo, the right question should be above. I'm very please if you can take it again and I will write the right solution down below in the comment section (if u don't mind)

What is the answer to 3/8 + 2/4

Answers

Answer:

1 1/2

Step-by-step explanation:

1.) First find the common denominator of the 2 fractions (8)    4: 4

    8: 4, 8

2.) then you write a new expression with the numerator left blank and the denominator as 8 shown below in the step by step explanation.  /8 + /8

3.)3/8 + 2/4 multiply by 1 both numerator and denominator for the first fraction. And multiply by 2 both numerator and denominator for the second fraction. 3/8 + 4/8.

4.) Then you add those 2 fractions which I assume you already know how by adding the numerators together, and get 12/8.

5.) You simplify 12/8 and get 1 4/8. 4/8 is equal to 1/2 so its 1 1/2.

pls help me. Will mark brainliest if right

Answers

Answer:

1st one

Step-by-step explanation:

use the properties of exponents to simplify the expression 522/513

Answers

Answer:

5^9 or 1,953,125

Step-by-step explanation:

5^22 / 5^13

Using the law of exponents we have 5^22-13 = 5^9

Si tenemos un cuadrado cuyos lados miden 1/3 en 7 partes iguales, ¿Cuál es su área?

Answers

Answer:

English please?

Step-by-step explanation:

...........

At midnight in Minnesota, the temperature was -59. Over the next three hours, the
temperature dropped 7. What was the temperature at 3:00 a.m.?
A-12
B-5°
C -2°
D 2

PLEASE HELP!!!

Answers

9514 1404 393

Answer:

  A.  -12°

Step-by-step explanation:

The final value is found by adding the change to the initial value.

  final temp = initial temp + change in temp

  final temp = -5° + (-7°) = (-5 -7)°

  3 am temp = -12°

Answer:

A

Step-by-step explanation:

1. Write the equation: -5-7. We get that equation because we start at -5 and then it drops 7 degrees. "dropped" is the keyword that tells us to subtract.

2. Solve the equation: -12 degrees. You can solve it very easily by plugging it into a calculator or mentally.

P.S: You typed the question wrong, you said 56 degrees instead of 5. That really had me stumbled lol.

11x + x = 60
full answer pls

Answers

Answer:

Step-by-step explanation:

Find the quotient of 3 2/5 and 3 1/6 . Express your answer in simplest form.
1 5/12
95/102
1 7/95
10 23/30

Answers

Answer:

1 7/95

Step-by-step explanation:

convert the fractions into improper fractions

3 2/5 = 17/5

3 1/6 = 19/6

[tex]\frac{17}{5}[/tex] divided by [tex]\frac{19}{6}[/tex] - invert second term and multiply

so 17 * 6 = 102

5* 19 = 95

answer is 102/95, or 1 7/95

How many solutions to 10x - 6 = 10 x + 6

Answers

Answer:

no solution

Step-by-step explanation:

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