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Naddik [55]
4 years ago
6

Randi shovels and salts her neighbors' driveways and walkways to earn money during the winter months in her town near the Pocono

Mountains. She charges $25 dollars per hour because the amount of time she spends shoveling and salting depends on the size of the driveway and walkway.
Randi has to pay for the salt that she uses, which costs her $3.00 per job on average. She also saves $2.00 per job to cover the costs of replacement shovels as needed.

Randi's profit is the total amount of money that she collects from a snow shoveling and salting job that takes t hours minus her costs.

Randi earned a profit of $60.00 on her last snow shoveling and salting job. Write an equation that can be solved to find how many hours Randi spent shoveling and salting to earn a profit of $60.00.Write your answer in the form of an algebraic equation using the math editor. You do not have to solve the equation, but you will need to use your equation to complete the next test question.
Mathematics
1 answer:
grin007 [14]4 years ago
7 0

Answer:

25t = 65

Step-by-step explanation:

Given that :

Profit earned = $60

Charge per hour = $25

Randy's cost or expenses = $(2 + 3) = $5 per job

Profit = (charge per hour * t) - cost

Where t = time

$60 = ($25 * t) - $5

$60 = $25t - $5

$25t = $65

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X^2-y^2=48 and x-y=2. The solution to the given system of equations is (x,y). What is the value of x + y?
Andru [333]

Answer:

24

Step-by-step explanation:

We have a system of equations, so we can start with the second equation:

x-y=2

And move y to the other side to isolate x:

x=2+y

Now we can replace x into the first equation:

(2+y)^{2} -y^{2} =48\\ (2+y)(2+y)-y^{2} =48\\ 4+4y+y^{2} -y^{2} =48

Notice that we can cancel out the y squared terms:

4+4y=48\\ 4y=44\\ y=11

Now we just need to find x by replacing y into the second equation:

x-11=2\\ x=13

And finally, add them:

x+y=11+13\\ x+y=24

Hope this helps.

3 0
2 years ago
Read 2 more answers
HELPPP PLEASE
Lana71 [14]

Answer:

Step-by-step explanation:

1

  1. make. Use the points (4,160) and (8,320) to find
  2. the number of soda bottles the machine can make
  3. each minute
  4. The machine can make __ soda bottles each minute.
6 0
3 years ago
Use the drop-down menus to complete each equation so the statement about its solution is true.
babymother [125]

Answer:

  • 7x+1
  • 6x+1
  • 7x+5

Step-by-step explanation:

<u>No Solutions</u>

There will be no solutions when the left side is inconsistent with the right side:

  2x +5 +2x +3x = 7x +1

  7x +5 = 7x +1 . . . . . . no value of x will make this true

__

<u>One Solution</u>

There will be one solution when the left side and right side are not inconsistent and not the same.

  2x +5 +2x +3x = 6x +1

  7x +5 = 6x +1

  x = -4 . . . . . . . . add -6x-5 to both sides

__

<u>Infinitely Many Solutions</u>

There will be an infinite number of solutions when the equation is true for any value of x. This will be the case when the left side and right side are identical.

  2x +5 +2x +3x = 7x +5

  7x +5 = 7x +5 . . . . . true for all values of x

_____

<em>Comment on these solutions</em>

You have not provided the contents of any of the drop-down menus, so we cannot say for certain what the answers should be--except in the case of "infinitely many solutions." For "no solutions", the coefficient of x must be 7 and the constant must not be 5. For "one solution" the coefficient of x cannot be 7, and the constant can be anything.

8 0
3 years ago
Oranges are $1.23 a pound. I bought 9 pounds. How much did it cost?
Natasha_Volkova [10]
9 times 1.23 equals $11.07 so it cost $11.07
3 0
3 years ago
I NEED HELP WITH NUMBER 7 I WILL GIVE BRAINLIEST HELP ME
amid [387]

Answer:

x=16

Step-by-step explanation:

We need to times 4 for the bigger H.

4 x 4= 16

That means 16 is the width of the bigger h.

x=16.

Hope this helped!!! :D

8 0
3 years ago
Read 2 more answers
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