All categories

3 years ago

7. A vending machine only accepts dimes and quarters. There are 85 coins

Mathematics

1 answer:

Vladimir [108]3 years ago

3 0

There are 55 quarters and 30 dimes in the machine.

Step-by-step explanation:

Total coins = 85

Total amount = $16.75 = 16.75*100 = 1675 cents

1 quarter = 25 cents

1 dime = 10 cents

According to given statement;

x+y=85 Eqn 1

25x+10y=1675 Eqn 2

Multiplying Eqn 1 by 10

$10(x+y=85)\\10x+10y=850\ \ \ Eqn\ 3$

Subtracting Eqn 3 from Eqn 2

$(25x+10y)-(10x+10y)=1675-850\\25x+10y-10x-10y=825\\15x=825$

Dividing both sides by 15

$\frac{15x}{15}=\frac{825}{15}\\x=55$

Putting in Eqn 1;

$55+y=85\\y=85-55\\y=30$

There are 55 quarters and 30 dimes in the machine.

Keywords: linear equation, subtraction

Learn more about linear equations at:

#LearnwithBrainly

You might be interested in

Find the exact value of the expression if θ = 30°. Do not use a calculator.

Sidana [21]

From my knowledge, I know that cos(30) = ((2)^(1/2))/2, therefore 9cos(30) = 9((2)^(1/2))/2

6 0

3 years ago

Can you guys help me out

marusya05 [52]

Answer:

a. S = 3n + 2

b. There while be 62 squares.

Step-by-step explanation:

We know the first term of this sequence is 5. To figure out the equation, subtract the following term from the previous. Do you see a common difference?

8 - 5 = 3

11 - 8 = 3

14 - 11 = 3

We're seeing a constant difference of 3 (which makes this an arithmetic sequence), but the first term is 5. That mean something is being added to make the first term 5. Subtract 3 from 5 to get 2. This means 2 is being added to every multiple of 3, which leads us to the equation: S = 3n + 2.

To find the 20th term of this sequence, substitute n for 20 and do the operations.

S = 3(20) + 2

<em>Multiply 3 by 20, then add 2.</em>

S = 62

The 20th term will have 62 squares.

7 0

3 years ago

A tutor charges 30.00$ for two hours of tutoring how much money would the tutor make in nine hours

AleksAgata [21]

Answer:

135

Step-by-step explanation:

A tutor charges 30.00$ for two hours of tutoring how much money would the tutor make in nine hours

7 0

3 years ago

Read 2 more answers

Prism M and pyramid N have the same base area and the same height. Cylinder P and prism Q have the same height and the same base

m_a_m_a [10]

Answer:

Answer Cone Z and Cylinder Y.

Step-by-step explanation:

The relationship between the volume of the cone and the volume of the cylinder with the same height and same base is the volume of the cone is 1/3 of the volume of the cylinder.

The formula for the volume of the cone is :

V = 1/3π $r^{2}$ h

The formula for the volume of the cylinder is :

V = π $r^{2}$ h

Let be the height of the cylinder Y. Therefore the height of the cone Z is 3h, when we put it into the formula we get :

V = 1/3π $r^{2}$ (3h) = π $r^{2}$ h

Therefore Cone Z and Cylinder Y have same volume.

8 0

4 years ago

Read 2 more answers

Brainliest if correct

Stells [14]

A slope is the steepness of the line, rise over run, change in y over change in x

A translation is a type of transformation that moves each point in a figure the same distance in the same direction (up, down, left right).

5. reflection on y-axis

6. vertical translation & horizontal translation

7. horizontal translation & vertical stretch

8. vertical translation & Horizontal stretch

9. vertical translation & horizontal translation & reflection over the x-axis & horizontal translation

10. vertical translation & horizontal stretch

HOPE THIS HELPS!

3 0

3 years ago