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
astraxan [27]
3 years ago
13

Kevin and Randy Muise have a jar containing 73 ?coins, all of which are either quarters or nickels. The total value of the coins

in the jar is ?$ 8.45. How many of each type of coin do they? have?
Mathematics
1 answer:
inna [77]3 years ago
4 0

Answer:

24 quarters and 49 nickels

Step-by-step explanation:

This situation has two unknowns - the total number of nickels 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.

  • n+q=73 is an equation representing the total number of coins
  • 0.05n+0.25q=8.45 is an equation representing the total value in money based on the number of coin. 0.05 and 0.25 come from the value of a nickel and quarter individually.

We write the first equation in terms of q by subtracting it across the equal sign to get n=73-q. We now substitute this for n in the second equation.

0.05(73-q)+0.25q=8.45

3.65-0.05q+0.25q=8.45

3.65+0.20q=8.45

After simplifying, we subtract 3.65 across and divide by the coefficient of q.

0.20q=4.8

q=24

We now know of the 73 coins that 24 are quarters. To find the number of nickels, we subtract 24 from 73 and get 49 nickels.

You might be interested in
Fun center rents popcorn machines for $20 per hour. In addition to the hourly charge, there is a fee of $32. Is the number if ho
insens350 [35]
No... because the two can never collide mathematically. So no, 
8 0
2 years ago
Reduce -56/-70 to lowest terms <br><br> •-2/3<br> •-4/5<br> •4/5<br> •8/10
Kaylis [27]
4/5 is the right answer.....
4 0
2 years ago
Read 2 more answers
In the decimal 55.555, which is 1/10 the value of the 5 in the tenths place?
inna [77]

Answer:

  55.555

Step-by-step explanation:

1/10 × 1/10 = 1/100

The value in the hundredths place is 1/10 the value in the tenths place.

  55.555

7 0
2 years ago
Y+23=59<br><br>solve for y i dont know if i have to add or subtract the 23 and 59
neonofarm [45]
When you move a number to the opposite side of the equation, in this occasion it will be 23- it changes to the opposite value. So us 23 is a positive value you can move it and change it to a negative. Or in other words suntract -23 from all sides of the equation, which will be equal to: 
y = 59 - 23
Y = 36

7 0
3 years ago
Show each step to solve the equation below:<br><br> 4x+5=x+2
Eduardwww [97]

4x + 5 = x + 2
Subtract 2 from both sides.

Your equation will be: 4x+3=x
Subtract 4x from both sides.
Yoir equation will be: 3= -3x
Divide by -3x on both sides.

Your final answer: x=-1
5 0
3 years ago
Read 2 more answers
Other questions:
  • Solve the following equations for x. Show the step by step process.
    9·1 answer
  • 3 brothers have 58 years in total. How old is the youngest brother if 3/4 of his age equals to 2/3 of middle brother's age and 3
    14·1 answer
  • The number 15,___56 rounded to the nearest thousand is 15,000. Which numbers could be the missing digit
    13·2 answers
  • Molly is making strawberry-infused water. For each ounce of strawberry juice, she uses 3 time many ounces of water. She wants to
    10·2 answers
  • I need help with this ! ❤️
    6·1 answer
  • PLZ HELP FIND THE PERIMETER
    12·1 answer
  • When the function f(x) = 4(2)x is changed to f(x) = 4(2)x − 13, what is the effect? (5 points)
    12·1 answer
  • 6 1⁄6 - 3 5⁄12 =<br> plz help me with it
    7·1 answer
  • 1. 5 3/4+("-" 1/4) <br><br>2. "-" 2/3+1/6<br><br>3. "-" 8/5+("-" 3/4)
    9·1 answer
  • What is the slope of the line?help pls
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!