Solve for x. Round your answer to the nearest tenth.

A jar containing only dimes and quarters contains a total of 54 coins. The value of all the coins in the jar is $9.15. Solve by

Paladinen [302]

Answer: the jar contains 29 dimes and 25 quarters.

Step-by-step explanation:

The worth of a dime is 10 cents. Converting to dollars, it becomes

10/100 = $0.1

The worth of a quarters is 25 cents. Converting to dollars, it becomes

25/100 = $0.25

Let x represent the number of dimes contained in the jar.

Let y represent the number of quarters contained in the jar.

A jar containing only dimes and quarters contains a total of 54 coins.. This means that

x + y = 54

The value of all the coins in the jar is $9.15. This means that

0.1x + 0.25y = 9.15 - - - - - - - - - - - 1

Substituting x = 54 - y into equation 1, it becomes

0.1(54 - y) + 0.25y = 9.15

5.4 - 0.1y + 0.25y = 9.15

- 0.1y + 0.25y = 9.15 - 5.4

0.15y = 3.75

y = 3.75/0.15 = 25

x = 54 - y = 54 - 25

x = 29

7 0

3 years ago

Jay Spring pays $350.00 annually for his health insurance. This is 1/3 of the total cost of the premium; his company pays the re

WINSTONCH [101]

Q: How much did Jay have to pay excluding his share of the insurance premium?

A: $1800+$200 = $2000

Q: How much did Jay's company pay for his insurance premium?

A: $700. If Jay's $350 is 1/3 of the premium , then Jay's company pays 2*$350=$700 as rest of his premium.

Q: Jay paid 10% and the plan paid 90% beyond the deductible. How much did Jay's insurance company pay total?

A: Jay's insurance company paid $16200. Given that Jay paid $1800 beyond his deductible of $200 (and that is 10% of the actual cost) means that his plan (insurance company) paid 90%=9*$1800=$16200.

Q: How much did Jay have to pay total, including his share of the premium?

A: Jay paid $2350. He paid $200 deductible + $1800 beyond deductible + $350 premium

8 0

3 years ago

Read 2 more answers

How do you use the keyboard on the computer to write exponents and other algebraic symbols

ICE Princess25 [194]

You will have to type it into Microsoft word first, type a number or algebraic expression into a Word document. Press the "Ctrl," "Shift" and "=" keys on your keyboard to turn on the Superscript mode. Enter another number or expression signifying the exponent.

Hope this helps! :)

7 0

3 years ago

8 grams = milligrams

Digiron [165]

Answer:

8,000 miligrams

Step-by-step explanation:

There's 1000 milligrams in a gram so you would have to do multiplication.

which if you do..

8x1000

you should get...