Mathematics Middle School

Q#1: Amanda and Lisa are playing games at the arcade. Amanda started with $15, and the machine she is playing costs $0.75 per game. Lisa started with $13, and her machine costs $0.50 per game. After how many games will the two girls have the same amount of money remaining?
Q#2:The Lone Star Shipping Company charges $14 plus $2 a pound to ship an overnight package. Discount Shipping Company charges $20 plus $1.50 a pound to ship an overnight package. For what weight is the charge the same for the two companies?

Answers

Answer 1
Let D = the amount of money Deanna has after x games.

We know Deanna started with $15 and she spends 0.75 per game, so we can make the following equation:
D = 15 - 0.75x

Let L = the amount of money Lisa has after x games.

We know Lisa started with $13 and she spends 0.50 per game, so we can make the following equation:
L = 13 - 0.5x

The question is asking how many games need to be played for L and D to be equal, so just equate L and D and solve for x:

D = L
15 - 0.75x = 13 - 0.5x
15 - 13 = -0.5x + 0.75x
2 = 0.25x
2 = (1/4)x
8 = x

Therefore they need to play 8 games each to have the same amount of money.
Answer 2

Answer: For question one its 8

Step-by-step explanation: Let A be the variable for Amanda! The amount of money she has for x amount of time. We know that lisa has $13 and she is spending .50 every game. The equation for this would be L=13-0.5x. SO to solve this problem of when they both will have the same amount of money use the equation. 15- 0.75x=13 - 0.5x then you will switch the equation around. So the next step would look like 15-13= -0.5x + 0.75x! Then you'll get 2=0.25x change that to a fraction and you'll get 1/4 and 8=x!

Im so sorry if this is confusing!

Related Questions

PLEASE HELP! FINALSS!
A catering company is preparing for 200 guests. They are going to serve a punch that consists of image ginger ale and image juice. The ginger ale will be purchased in bottles that contain 0.75 gallons each.

What is the minimum number of bottles of ginger ale needed so that each guest can have up to three 12-ounce servings of punch?
A. 19
B. 16
C. 17
D. 18

Answers

im guessing the answer is 17 educated guess!!

if you have a qurter to all the time i listen to the same song how much money would i have

Answers

Answer:

How many times do you listen to the song

Step-by-step explanation:

Find the least common multiple using GCF of 7 and 35

Answers

Its 7 do I still need to evaluate this?

Answer:

a least common multiple of 7 and 35 is 7

hope its right

Step-by-step explanation:

When a unit rate is simplified, it must have what number in the denominator?

Answers

Answer:

1 is the number in the denominator.

Step-by-step explanation:

A unit rate is a rate with 1 in the denominator.

Answer:

1 is the number in the denominator.

Step-by-step explanation:

Can you help me with this. Is this a function, why or why not?

Answers

Yes it is a function

A square with a side length of 9cm will be ________ long after a scale factor of 1.5


a. 6 cm

b. 7.5 cm

c. 10.5 cm

d. 13.5 cm

(if you just put something random for the points i will report)

Answers

i think i’d be c if you add the 1.5 to the 9cm it would sum up to 10.5

I need help sooo um help plssss

Answers

Answer:

93

Step-by-step explanation:

3%=.3

.3*3100=93

The answer is 93 hope this helps!

pls pls pls help brainliest
asap

Answers

Answer:

what the heck is this

Step-by-step explanation:

Ha ye I have no clue

Find the equation of the line that passes through the given points on the graph below.

Answers

y = -4/3x - 1

because rise over run is slope or you can do (y2-y1)/(x2-x1) and the y intercept is -1

Answer:

y = -4/3x - 1

Step-by-step explanation:

Help fast Please!!!!! What is the vertical distance between
(-3, -2.5) and (-3, 5)?

Answers

What I can tell is that they both share the same x coordinate. To help you understand, the horizontal line is from left to right, think of "The sun setting in the horizon.", it is often in the distance as a "left to right" line. So, I hope that helps, this leaves the vertical line as up or down.

With that out of the way, the x-axis lies on the horizontal line, whereas the y-axis lies on the vertical line.

Point coordinates are typically listed as (x, y), so... with that said, to find the distance we'll have to count downwards. As we know, negative x is to the left, negative y is further down, so... -3 to -12 is 9 points away.

Simple method: -3 - 9 = -12, or... -12 - -3 = -12 + 3 = -9.
In other words you get the basic idea, you can also just count, but whatever.

I hope that helps, have a great rest of your day! ^ ^

Select all the fractions that are equivalent to each other.

(Choose 4)
1/3
1/4
2/8
4/16
2/12
3/12

Answers

1/4
2/8
4/16
3/12

u can convert fractions into percents by multiplying the first number by the second. hope this helped:))
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