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
Andreyy89
3 years ago
8

Kevin and Randy Muise have a jar containing 70 coins, all of which are either quarters or nickels. The total value of the coins

in the jar is $7.50. How many of each type of coin do they have.​
Mathematics
1 answer:
Nikitich [7]3 years ago
6 0

Answer:

50 nickels, 20 quarters.

Step-by-step explanation:

System of equations (q = # of quarters, n = # of nickels):

<em>q + n = 70, 0.25q + 0.05n = 7.50</em>

the first equation can be changed to q = 70 - n, so we are able to <em>substitute q with 70 - n</em>.

So, it will look like <em>0.25*70 - 0.25n + 0.05n = 7.50</em>. This can be simplified to <em>0.2n = 10</em>, which means that n = 50.

Knowing that we can solve <em>q + 50 = 70</em>, which means that q = 20.

You might be interested in
Please help me I don’t understand!
MrMuchimi

Answer:

I provided a full answer and explaination in the picture attached. Good luck.

5 0
2 years ago
Point B lies between points A and C on Line segment A C . Let x represent the length of segment AB in inches.
Setler79 [48]
The value of x is 5
The length of line AB is 5 inches
The length of BC is 15 inches
5 0
3 years ago
Solve this quadratic equation by completing the square <br> x^2+6x=18
cestrela7 [59]

Answer:

( x + 3 )² - 27

Step-by-step explanation:

x² + 6x = 18

→ Minus 18 from both sides to get a quadratic equation

x² + 6x - 18

⇒Completed square from is ( x + a )² + b

⇒The value of 'a' will always be half the 'b' value in the equation

ax² + bx + c

→( x + 3 )² + b

Expand out the equation to find 'b'

x² + 6x + 9

We have do something to get from 9 to - 18 which -27

So the answer is ( x + 3 )² -27

4 0
3 years ago
Read 2 more answers
 If the trapezoid below is reflected across the x-axis, what are the coordinates of B'?
Grace [21]
The x-coordinate remains the same as the x-coordinate of point B.
The y-coordinate becomes the additive inverse of the y-coordinate of point B.

Answer: B. (3, -8)

9 0
3 years ago
Read 2 more answers
The value of x is approximately:
solong [7]

Answer:

19.80

Step-by-step explanation:

tan 22= 8/x

tan 22 = 8/x

x = 8/tan 22

x = 19.80

7 0
2 years ago
Other questions:
  • 1. Consider the function f(x) = 5x^3 - 31x^2 - 129x + 27
    5·1 answer
  • Linda purchased a used vehicle that depreciates under a straight line method. The initial value of the car is $7000, and the sal
    8·2 answers
  • Please help, thanks a lot
    8·1 answer
  • Can someone give me a simple definition for absolute value
    6·2 answers
  • Brandon bought a 5-gallon container of paint to paint his house. After he finished painting, he had 2 quarts of paint left over.
    7·1 answer
  • 5.solve for x. 6.solve for x.
    6·1 answer
  • Hannah drove her car 318.4 km in 4 h.<br> At this speed, how far can she expect to travel in 5.5 h?
    11·1 answer
  • Use elimination to solve the system of equations. 5x-2y=-3 4x-2y = -6
    8·1 answer
  • Find the variable. m angle BDJ=7y+2 , m angle JDR=2y+7
    15·1 answer
  • I need help pls my school starts in 45 mins pls I need a answer
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!