MATHEMATICS MIDDLE SCHOOL

Moving Company A charges a flat fee of $1200 plus $18 and hour. Company B charges $900 plus $23 an hour. After how many hours would the price be the same regard-less of which company was chosen?

Answers

Answer 1
Answer:

We need to create two expressions, then equate them in order to find the numbers of hours.


Let X = Number of hours

Let 1200+18x = Company A (Flat Fee + Hourly Rate*Hours)

Let 900+23x = Company B


1200+18x=900+23x\n300+18x=23x\n300=5x\n60=x


After 60 hours, the prices will be the same

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Carlos has 30 yards of plastic fencing to set up for a track meet he uses 85 feet of fencing how much fencing does he have left

Answers

There's 90 feet in 30 yards so 90 - 85 is 5
The first thing you need to know is that 1 yard = 3 feet. Therefore if he had 30 yards he had 90 feet of plastic fencing. From there all you have to do is take the 90 feet he has and subtract 85 feet he uses. That means Carlos has 5 feet of fencing left.

(5x - 18) + (4x + 7) = 180 what is the value of x?

Answers

(5x-18)+(4x+7)=180
5x+4x=180+18-7
9x=191
x=191/9

Answer: x=191/9

Michael had $550 in his savings account. He took out $30.75 every month for one year. What is the net change in Michael’s account balance following these withdrawals?

Answers

The net change in Michael's account balance after withdrawals of $30.75 for 12 months is $181.

What is an arithmetic operation?

The four fundamentaloperations of arithmetic are addition, subtract, multiply, and division of two or more numbers. Included in them is the study of integers, especially the order of operations, which is important for all other aspects of mathematics, notably algebra, information management, and geometry.

From the data given in the question,

Michael has $550 in saving account.

Per month withdrawal by Michael is $30.75

Withdrawal for 12 months = $30.75 × 12 = $369.

Change in Michael's account balance = ($550 - $369) = $181

Therefore, the change will be equal to $181.

To know more about arithmetic operation:

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Answer:

The answer is -$369.00

Step-by-step explanation:

30.75 x 12 = 369

They are taking away from his account therefor we make it negative.

$550-$369 is the net change in his account balance.

Write the equation in function form then graph the equation

3x-y=5

Answers

3x-y=5 \n \n -y=-3x+5 \ \ /*(-1)\n \ny=3x-5 \n \n the \ graph\ of \ a \ linear \ equation \ is \ a \ straight \ line

3x-y=5

-3x   -3x

-y = -3x+5

*divide -1

y= 3x-5

Your mom opened a college fund for you when you were born. The fund had an annual interest rate of 2.5%. When you turned 18, the account had earned $4,275 in interest. What was the amount your mom deposited when you were born? Use the formula: I = Prt.

Answers

Given:
Interest = 4,275
interest rate = 2.5%
term = 18 years
Principal = ?

Interest = Principal * interest rate * term
4,275 = P * 2.5% * 18
4,275/ (2.5% * 18) = P
4,275 / 0.45 = P
9,500 = P

Your mom deposited 9,500 when you were born.

Answer:

9,500

Step-by-step explanation:

For the past 5 months Pablo's bicycle repair business had these profits or losses: –$85, $70, –$120, –$90, and $35. What was his average profit or loss for these five months?

A.
His average loss was $38 per month.


B.
His average profit was $38 per month.


C.
His average loss was $80 per month.


D.
His average profit was $80 per month

Answers

The average profit (or loss) is found by adding up the profits (or losses) of the past 5 months and divinding the resulting amount by 5 (the number of months). The account is [85 + 70 + 120 + 90 + 35] / 5 = 80. Then the answer is the option C or D. HIs average loss was $80 per month or His average profit was $80 per month.
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