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
The rent for an apartment goes down by $35 per month.<br><br> What integer represents the situation?
Liula [17]

are there any options? or no

7 0
2 years ago
Read 2 more answers
Please help thank you! will give brainliest!
VashaNatasha [74]

A'(-6, -10), B'(-3,-13), and C'(-5,-1) are the vertices of the ΔA'B'C' under the translation rule (x,y)→(x,y-3). This can be obtained by putting the ΔABC's vertices' values in (x, y-3).

 

<h3>Calculate the vertices of ΔA'B'C':</h3>

Given that,

ΔABC : A(-6,-7), B(-3,-10), C(-5,2)

(x,y)→(x,y-3)

The vertices are:

  • A(-6,-7 )⇒ (-6,-7-3) = A'(-6, -10)
  • B(-3,-10) ⇒ (-3,-10-3) = B'(-3,-13)
  • C(-5,2) ⇒ (-5,2-3) = C'(-5,-1)

Hence A'(-6, -10), B'(-3,-13), and C'(-5,-1) are the vertices of the ΔA'B'C' under the translation rule (x,y)→(x,y-3).

Learn more about translation rule:

brainly.com/question/15161224

#SPJ1

7 0
2 years ago
1. Write the following rational numbers as quotients of two integers.
Marianna [84]

Answer:

a) -0.5 = -1/2

b) -2/1/4 = -2/4

c) -5/6/7 = -5/42

d) 7.2 = 72/10

Step-by-step explanation:

7 0
2 years ago
The central angle of a circle is equal in measure to one radian when the corresponding arc length is equal to which of the follo
irinina [24]
The formula to find the arc length L is
L = r*theta
where r is the radius and theta is the central angle in radians (this formula will not work if theta is in degrees)

If the central angle is 1 radian, then theta = 1 and
L = r*theta
L = r*1
L = r
So the arc length is the same as the radius

Answer: Choice A) The radius of the circle
5 0
3 years ago
Read 2 more answers
A shirt originally priced at $30 has been discounted 20%
mezya [45]
The sale price of the shirt is $24. And you save $6 from discount.
4 0
3 years ago
Read 2 more answers
Other questions:
  • A cube has as side length of 20.5 cm. What is the surface area of the cube?
    11·1 answer
  • How far apart is 27 and -54
    6·1 answer
  • Given h(x) = -5x + 3, find h(5).
    6·1 answer
  • It’s a graph please help
    11·1 answer
  • Cual es la respuesta de f(x)= 3x-5,find f(8)
    14·1 answer
  • ASAP PLEASE
    8·2 answers
  • Carter was given a box of assorted chocolates for his birthday. Each night, Carter treated himself to some chocolates. Carter at
    5·1 answer
  • Solve the system of equations by elimination.<br> -x + y = -13<br> -8x - 4y = -8
    11·2 answers
  • The hanger image below represents a balanced equation.
    9·2 answers
  • Which relationship describe angles 1 and 2?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!