MATHEMATICS MIDDLE SCHOOL

a bank contains 27 coins consisting of dimes and quarters. the coins have a total value of $4.95. Find the number of dimes and quarters in the bank.

Answers

Answer 1
Answer: 12 dimes and 15 quarters
12 quarters and 10 dimes to make 4 dollars and
3 quarters and 2 dimes to make 95 cents
Answer 2
Answer:

Final answer:

The bank has 15 quarters and 12 dimes.

Explanation:

This problem can be solved using systems of equations. Let's define the variables: let D represent the number of dimes and Q represent the number of quarters.

From the problem, we have two equations:

  • D + Q = 27 (the total number of coins)
  • 0.10D + 0.25Q = 4.95 (the total value of the coins)

Multiply the first equation by 0.10 to make the coefficients of D the same in both equations:

  • 0.10D + 0.10Q = 2.70

Subtract this from the second equation to find Q:

  • 0.15Q = 2.25. Consequently, Q = 15 quarters.

Substitute Q = 15 into the first equation to find D:

  • D + 15 = 27, hence D = 12 dimes.

Learn more about Systems of Equations here:

brainly.com/question/35467992

#SPJ2

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How much will you pay for 5 pounds of shrimp if the cost is 2 pounds for $10.99?

Answers

2 lbs. = $10.99

$10.99 + $10.99 = $21.98 (4 lbs.)

To add one more pound you just half the 2 lb price and add to the 4 lb value. 

$10.99 / 2 = $5.45 (1 lb)

$5.45 (1 lb) + $21.98 (4 lb) = $27.43 (5 lb)

5 pounds of shrimp would cost $27.43.
2 • $10.99 = $21.98 + $5.49 = $27.47

its as simple as adding up what you do and saving what you dont until the end

Joys mom begins to walking at 4:12 p.m. she stops at 4:43 p.m. how many minutes does she walk?

Answers

By walking from 4:12 pm to 4:43 pm, Joy's mom was able to walk for 31 minutes

Joy's mom walked from 4:12 pm to 4:43 pm.

To find out the number of minutes she walked, subtract the time she started walking from the time she stopped walking:

= Time stopped - Time started

= 4 :43 - 4:12

= 43 - 12 ⇒ isolate the minutes to make the subtraction easier

= 31 minutes

In conclusion, Joy's mom walked for 31 minutes.

Find out more at brainly.com/question/1067388.
Subtract the two numbers from largest to smallest:
4.43-4.12    (or because the hour is the same, you can leave the 4 out)
43-12=31
31 minutes

What is the median of the following set of numbers?16, 12, 18, 17, 13, 13, 12, 14, 15, 19
A.12
B.13.2
C.14.5
D.14.9

Answers

To find the median, we must order the numbers. 

12,12,13,13,14,15,16,17,18,19

Now see which one is in the middle. 

We are stuck between 14 and 15, so what is between those?
14.5 is between 14 and 15, so that is the median. 

Answer: 14.5 is the median 

Problem: Tina bought some nail polish and lip gloss at the store. The nail polish cost $4.50 per bottle and lip gloss cost $7 per tube. Tina bought 9 items and spent $50.50. How many of each item did she buy?Use this 4-step plan to answer the problem above!

Step 1: Understand. What are the facts? What are you asked to find? Is there any information you will not use?
Step 2: Plan: How will you solve this problem? State which strategy you are choosing to use.
Step 3: Solve. Show your steps. What is the solution?

Step 4: Check: Also include your check. Does your answer make sense?

Answers

4.50x + 7x= $50.50
you will use Guess and check as a strategy
 4.50(5) +7(4) = 50.50

yes the answer does make sense
a - number of nail polish bottles
b - number of lip gloss tubes
a+b=9    => b=9-a
4.50*a+7*b=50.50
4.50*a+7*(9-a)=50.50
4.50*a+63-7a=50.50
63-50.50=7a-4.50a
2.50a=12.50
a=12.50/2.50
a=5 nail polish bottles
b=9-a=9-5
b=4 lip gloss tubes

(4x1000) + (2x100) + (3x1/10) greater or less than or equal than

(4x1000) + (2x100) + (3x1/10)

would really help!!! :D

Answers

(4*1000) + (2*100) + (3*1/10) = 4200.3
(4x1000) + (2x100) + (3x1/10) = 4200.3

Both are equal.
Dude both numbers give the same answer they're equal

Dorothy and her twin sister will split the cost of a car when they are 16. their parents have agreed to pay 10% of the cost of the car. if they buy a car for $7,500 how much will each Sister pay?

Answers

each sister would pay $3375. First, take off 10 percent, so you get 6750, then divide that by two.
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