One month Tammy rented 3
movies and
2
video games for a total of
$20
. The next month she rented
8
movies and
4
video games for a total of
$45
. Find the rental cost for each movie and each video game.

Answers

Answer 1
Answer: 3x + 2y = 20
8x + 4y = 45
where x = # of movies and y = # of video games

In order to solve this systems of equations problem, you need to use the elimination method.

You can multiply the top equation, 3x + 2y = 20, by -2 in order to eliminate the y values.

(3x + 2y = 20) *-2 will turn into -6x - 4y = -40

From there, we can eliminate.

-6x - 4y = -40
8x + 4y = 45

Since 4y and -4y are opposites in sign and equal in coefficients, we can remove them from our equations and add the rest of the terms together.

-6x - 4y = -40
8x + 4y = 45
will turn into -->
2x = 5

So, x = (5)/(2), which means 1 movie costs $2.50. Then, we can solve for the video game price, y, by substituting our x back into one of the equations.

3x + 2y = 20
3*<span>(5)/(2) </span>+ 2y = 20
y = (25)/(4)

Each movie costs $2.50 and each video game costs $6.25.

Related Questions

Solve for h. –2(h + 8.4) + –1.4 = –2.8 h =
WILL CHOOSE YOUR ANSWER AS BRAINLIEST!!The height of a 0.5-liter orange juice box with a square base is a function of the width of its base,where w is the width of the base in centimeters. Find the width of the juice box if its height is 20 centimeters.w =_____cm
Q ÷ 2 -qp ÷ 6; let p = -6 and q = 10
Which id the following is the least A. 0.105 B. 0.501 C. 0.015 D. 0.15
28 divided by 23.8 equals

Cual es la raíz cuadrada de 137

Answers

Answer:

11.70469991

Step-by-step explanation:

Which equation can be used to represent six added to twice the sum of a number and four is equal to one-half of the difference of three and the number?

Answers

six added to twice the sum of a number and four is equal to one-half of the difference of thee and the number.

Let x be the number.

6 + 2(x + 4) = 1/2 * (3-x)

Find the value of x.

6 + 2x + 8 = 3/2 - x/2
2x + x/2 = 3/2 - 8 - 6
2x + x/2 = 3/2 - 14
2(2x + x/2) = 2(3/2 - 14)
4x + x = 3 - 28
5x = -25
x = -25/5
x = -5

To check: x = -5

6 + 2(x + 4) = 1/2 * (3-x)

6 + 2(-5+4) = 1/2 * (3 - (-5))
6 + 2 (-1) = 1/2 * (3 + 5)
6 - 2 = 1/2 (8)
4 = 4

Answer: Opion  A

(A) 6 + 2(X + 4)= 1/2(3-X) <=========+ 100 %

Step-by-step explanation:

the length of a rectangle is 3 meters less than twice the width if the area is 104 square meters find the length

Answers

x-width
2x-3-length

A=lxw
104=(2x-3)(x)
104=2x^2-3x
52=x^2-3/2(x)
52+9/16=x^2-3/2(x)+9/16
841/16=(x-3/4)^2
29/4=x-3/4
x=32/4 or 8

length is 2(8)-3 which is 13 and width is 8


Answer:

l = 13 m

Step-by-step explanation:

Let's call the width of the rectangle x. Then we can form an expression for the length of the rectangle: 2x - 3

Now we need to form an equation for the area of the rectangle and solve it:

x(2x - 3) = 104

2x² - 3x = 104

2x² - 3x - 104 = 0 - now we need to factorize the equation

(2x + 13)(x - 8) = 0

Now we can say that x = 8 or x = -6.

Because we cannot have a negative length, x = 8 m.

Now we can workout the length using the expression that we formed at the beginning:

2x - 3 = l

2(8) - 3 = l

l = 16 - 3

l = 13 m

Help me bruhTwo waves with amplitudes of 75 units and 74 units arrive at a point in a medium simultaneously. If the two waves are out of phase with each other, what
is the resultant amplitude of the wave?

a. 74 units

b. 1 unit

c. 75 units

d. m149 units

Answers

I'm pretty sure the answer is B, cuz they'd crash together and become 1unit instead of two

at a local fitness center, members pay a $12 membership fee and $5 for each aerobic class. Nonmembers pay $6 for each aerobic class. for what number of aerobics classes will the cost for member and nonmembers be the same? solve

Answers

Answer with Step-by-step explanation:

Members pay a $12 membership fee and $5 for each aerobic class.

i.e. if x is the number of aerobic classes then,

Members have to pay=5x+12

Nonmembers pay $6 for each aerobic class.

i.e. if x is the number of aerobic classes then,

Non members have to pay=6x

We have to determine the number of classes so that they both have to pay same amount

i.e. we have to find the value of x in

6x=5x+12

Subtracting both sides by 5x, we get

x=12

Hence, for 12 classes members and nonmembers have to pay the same amount

Make an equation:

5x+12=6x

Use the subtraction property:

x=12

The final answer is that the cost for members and nonmembers will be the same when there have been 12 classes.

The diagonals of rectangle NOPQ intersect at point R. If OR=3x-4 and NP=5x+20, solve for x.A.
2
B.
3
C.
12
D.
28

Answers

Answer:

D. 28

Step-by-step explanation:

Please find the attachment.

We have been given that the diagonals of rectangle NOPQ intersect at point R. We are asked to find the value of x.

We will use diagonal property of rectangle, which states that diagonals of rectangle are equal and bisect each other.

Using diagonal property of rectangle, we can conclude that the segment NP is 2 times segment OR, so we can set an equation as:

2* OR=NP

Upon substituting the given expressions for both segments we will get,

2(3x-4)=5x+20

Using distributive property we will get,

6x-8=5x+20

Subtracting 5x from both sides we will get,

6x-5x-8=5x-5x+20

x-8=20

Now, we will add 8 on both sides

x-8+8=20+8    

x=28

Therefore, the value of x is 28 and option D is the correct choice.

D) 28 is the right answer
find the attachments for the details