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
GarryVolchara [31]
2 years ago
11

There are 36 coins consist of nickels, dimes, and quarters. There are three fewer quarters than nickels and six more dimes than

quarters. How many of each kind of coin is there?
Mathematics
1 answer:
Veseljchak [2.6K]2 years ago
6 0

Answer:

Number of Nickels is 12

Number of Dimes is 9

Number of Quarters is 15

Step-by-step explanation:

Given that there are a total of 36 coins, which consists of nickels, dimes, and quarters.

That is, when we sum the numbers of nickels, dimes, and quarters, we have 36.

Let number of nickels be N

Let number of dimes be D

Let number of quarters be Q

Then

N + D + Q = 36 .................................(1)

- There are three fewer quarters than nickels.

This implies that

N = Q - 3 ..............................................(2)

Or

Q = N + 3 .............................................(3)

- There are six more dimes than quarters.

This implies that

Q = D + 6 .............................................(4)

Comparing (3) with (4), we see that

N + 3 = D + 6

N - D = 6 - 3

N - D = 3 ................................................(5)

Using (3) in (1)

N + D + (N + 3) = 36

2N + D = 36 - 3

2N + D = 33 ..........................................(6)

Solving (5) and (6) simultaneously

From (5): D = N - 3

From (6): D = 33 - 2N

=> N - 3 = 33 - 2N

N + 2N = 33 + 3

3N = 36

N = 36/3 = 12..........................................(7)

Using (7) in (6)

2(12) + D = 33

24 + D = 33

D = 33 - 24

D = 9 ........................................................(8)

Using (7) and (8) in (1)

12 + 9 + Q = 36

21 + Q = 36

Q = 36 - 21 = 15.......................................(9)

Therefore,

Number of Nickels, N = 12

Number of Dimes, D = 9

Number of Quarters, Q = 15

You might be interested in
Help me from 6-9 (geometry)
elena55 [62]

Answer:

6) Two angles are called supplementary when their measures add up to 180 degrees. For example, two right angles are supplementary angles.

7) When the sum of two angles is equal to 90 degrees, they are called complementary angles. For example, 30 degrees and 60 degrees are complementary angles.

8) you have to plot the points on the graph and draw a line and label it with L at one point and M at another point.

9) x = 20

m < A = 65

m < B = 25

Step-by-step explanation:

9)

3x + 5 + 2x - 15 = 90

3x + 2x + 5 - 15 = 90

5x - 10 = 90

5x - 10 + 10 = 90 + 10

5x = 100

5 / 5x = 100 / 5

x = 20

A = 3x + 5

A = 3(20) + 5

A = 60 + 5

A = 65

B = 2x - 15

B = 2(20) - 15

B = 40 - 15

B = 25

8 0
3 years ago
Help me solve the out and inputs of the table
velikii [3]
The in is -5 the out for 7 is -21 the out for -3 is 9the infor 15 is -5 the out for -10 is 30
5 0
3 years ago
Help me plz!!!!!!!!!!!!!!!!
mixer [17]

Answer:

Graph A

Step-by-step explanation:

-y=-2-3x

y=3x+2

Slope:3

y-intercept:2

5 0
2 years ago
the ratio of red cars to blue cars in a parking lot was 5 : 3. if there were 40 cars, how much blue cars were there​
maria [59]

Answer: 24

Step-by-step explanation:

6 0
3 years ago
Determine the domain of the function f(x)=1/3x^2+10x+8
cricket20 [7]
The function is
f(x) = (1/3)x² + 10x + 8

Write the function in standard form for a parabola.
f(x) = (1/3)[x² + 30x] + 8
      = (1/3)[ (x+15)²- 225] + 8
      = (1/3)(x+15)² -75 + 8
f(x) = (1/3)(x+15)² - 67

This is a parabola with vertex at (-15, -67).
The axis of symmetry is x = -15
The curve opens upward because the coefficient of x² is positive.
As x -> - ∞, f -> +∞.
As x -> +∞, f -> +∞
The domain is all real values of x (see the graph below).

Answer: The domain is (-∞, ∞)

8 0
2 years ago
Other questions:
  • 120 personas con bronquitis y fumadores, 15 con bronquitis y no fuman, 42 sanos y fumadores, 65 sanos y no fumadores. Si se elig
    12·1 answer
  • How many digits of pi does it take to add up to 14, 25, 68, 103, and 150? I am being timed, whoever answers this fast or quick I
    9·2 answers
  • Plz help❤️ I need it urgent help
    12·1 answer
  • 1.6=Y/1.5 WHAT IS THE ANSWER​
    7·2 answers
  • Select the correct properties of slope below. Multiple Response. A.The slope of a line is always positive B.The slope of a line
    10·1 answer
  • 1x1<br> wdwdwadwdwadwa dwa dwa daw dwa dw adw dw da dw dwa dw adw da daw dw dawd wd wdwdw
    14·2 answers
  • Which of the expressions are equivalent to the one below? 5x(3+7)
    8·2 answers
  • The scatter plot shows the number of albums sold from 2006 to 2011. What is the association between the two quantities?
    6·2 answers
  • What's the negative reciprocal of 5? Question 12 options: A) 1∕5 B) –5 C) –1∕5 D) 5
    12·1 answer
  • Find the area of the figure below by first finding the areas of the rectangle and triangles.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!