1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Arisa [49]
4 years ago
6

Andy has 31 coins made up of quarters and half dollars, and their total value is $11.00. How many quarters does he have?

Mathematics
1 answer:
charle [14.2K]4 years ago
3 0

Answer:

4

Step-by-step explanation:

This situation has two unknowns - the total number of half dollars and the total number of quarters. Because we have two unknowns, we will write a system of equations with two equations using the two unknowns.

  • h+q=31 is an equation representing the total number of coins
  • 0.50h+0.25q=11 is an equation representing the total value in money based on the number of coin. 0.50 and 0.25 come from the value of a half dollar and quarter individually.

We write the first equation in terms of q by subtracting it across the equal sign to get h=31-q. We now substitute this for h in the second equation.

0.50(31-q)+0.25q=11

15.5-0.50q+0.25q=11

15.5-0.25q=11

After simplifying, we subtract 15.5 across and divide by the coefficient of q.

-0.25q=-4.5

q=4

We now know of the 31 coins that 4 are quarters.

You might be interested in
plzz help me no link plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
boyakko [2]

Answer:

Zara ate 50 almonds last week

Step-by-step explanation:

part to whole ratio is 50 : 100

150 divided by 2 is 75

100 divided by 50 is equal to 2

Zara ate 50 almonds last week

pls mark brainliest if this helped :)

8 0
2 years ago
Which one doesn't belong? <br> HELP PLSSSS!!!!!
Natasha2012 [34]

Answer:

The bottom right.

Step-by-step explanation:

Hope its correct.

4 0
3 years ago
Read 2 more answers
Help me with this please ASAP
just olya [345]

Answer:

7) 13 in. Because the hypotenuse is the longest length than opposite and adjacent.

8) 12 in. Because it has 90° angle.

9) 12 in

10) 5 in

6 0
3 years ago
Use the order of operations to simplify 8.6 - 4 × 2 + 3/10
Ainat [17]
The answer is A!
Explanation:
43/5-4x2+3/10
Multiply the numbers——> 43/5-8+3/10
43/5-8+3/10=9/10

Hoped I help ! Mark me brainly if correct it would help a lot! Have a great day!
8 0
2 years ago
Read 2 more answers
PLS I NEED HELP PLSSSSSSSSSS
Oksana_A [137]
3 cm I think I hope this helps
7 0
2 years ago
Other questions:
  • I have a word problem with a pattern. I just can't figure it out. - On the first night, Kim's mom gave her a nickel, on the seco
    15·1 answer
  • Can someone help me please
    10·1 answer
  • A pile of newspapers Mc Grath's class was 17 3/4 inches high.
    14·1 answer
  • Where can the medians of a triangle intersect?
    12·1 answer
  • 2). Stuart took his wife out to dinner. The bill came to $72.00 and he
    15·2 answers
  • The shaded quilt piece has 4 equal sides. What type of quadrilateral is it?
    14·1 answer
  • Helpppppp pleaseeee I have to ansswer Find the area of the shaded region
    10·1 answer
  • An identity thief watches someone enter a 4-digit PIN and manages to see the first two digits. If the thief tries guessing
    10·1 answer
  • the dance club is selling tickets to the next showcase adult tickets cost $5 and children's tickets cost $2 they sell twice as m
    11·1 answer
  • Limx→1<br> x<br> 4 + 2x<br> 2 − 3<br> x<br> 2 − 3x + 2
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!