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]
3 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]3 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
What is another way to write (2x - 3)?​
Norma-Jean [14]

Answer:

See below

Step-by-step explanation:

Many ways...

x+x-3

2x-6+3

5x-3x-3

(4x-6)/2

And the list goes on...

8 0
3 years ago
Read 2 more answers
Is the converse of this conditional statement True or False?
geniusboy [140]

Answer:

False.

Just because the name begins with J does not mean the name is Jim. For example: Jack, Joshua, James, Jacob, and so on.

3 0
2 years ago
Read 2 more answers
What makes an equation with an inequality symbol true?
lawyer [7]

Answer:

In an equation, the two expressions are deemed equal which is shown by the symbol =. Where as in an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥. ... If the statement is true, the number is a solution to the equation or inequality.

Step-by-step explanation:

8 0
2 years ago
Where does the point (0, - 3) lie?
White raven [17]

This point falls on none of your possible answers.

We can first tell that it falls neither positive or negative in terms of x since the x value is 0.

We can also tell the y term is negative. Therefore, it would fall on the negative y-axis.

3 0
3 years ago
An online media service offers video and music downloads. Each download of a song costs $1.50. Each download of a video costs 2
svetoff [14.1K]

Answer:10

Step-by-step explanation:

if a song costs $1.50 and a video is 2 times that amount of a song, then the video would cost $3. you have a balance of $60. you by 15 videos to start. i multiplied $3 by 15 to get the cost of the movies, witch is $45. after i got the cost of the movies i subtracted the $45 from the over all amount, i got 15. now to the songs. i have $15 to get music. 2 songs costs $3( 1.50+1.50= 3.00). 4 songs would cost $6. 8 songs would cost $12. after that i just added 1.50 until i hit a total of 15. so you can get 10 songs for $15

5 0
3 years ago
Other questions:
  • Matthew is four years younger than his brother Kevin,when Matthew was 7,how old was his brother
    10·2 answers
  • Plz help, it is mathswatch
    15·1 answer
  • A standard pair of six-sided dice is rolled. what is the probability of rolling a sum greater than 66? express your answer as a
    7·1 answer
  • Order the set of numbers from least to greatest:
    11·1 answer
  • What type of number is -16.8.<br><br> -Rational number<br> - Whole number <br> - Integer number
    8·1 answer
  • 7 = 3x − 5? What does X equal
    11·1 answer
  • I’m so confused <br> I feel like I’ve tried everything <br> Please help
    14·2 answers
  • If you bought a stock last year for a price of $147, and it has risen 17.9% since then, how much is the stock worth now, to the
    6·1 answer
  • PLS HELP<br>First answer- (5,0) (10,0)<br>Second answer- (0,1//20) (0,20)<br>​
    6·1 answer
  • 50 points!
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!