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Maurinko [17]
2 years ago
5

Sarah wants to join a gym. Fitness Gym charges a $120 enrollment fee and $25 a month. Sports Gym charges no enrollment fee and $

45 a month. Sarah wants to know how many months it will take for the cost of both gyms to be the same. She writes the two equations C = 120 + 25x and C = 45x and graphs the solution. What does the graph tell her about many months it will take?
A) It will take 5 months.
B) It will take 6 months.
C) It will take 9 months.
D) It will take 18 months.

Mathematics
2 answers:
Advocard [28]2 years ago
5 0

Answer:

<h2>B) It will take 6 months.</h2>

Step-by-step explanation:

This problem can be solved using the equation or the graph.

The given equation is

120+25x=45x

We solve for x

120=45x-25x\\120=20x\\x=\frac{120}{20}\\ x=6

This means after 6 months both gyms will cost the same.

Now, if you wanna solve this using the graph, you just need to look for the interception points of the two lines, where each of them represents each gym. Notice that they intercept at (6,270), that is, after 6 months they cost $270 each of them.

Therefore, the right answer is B).

kirill [66]2 years ago
4 0

Answer:

it will take about 6 months

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stira [4]

The answer is x>-12

First you must use distributive property to simplify.

6x+18-2

Then, you must subtract 18 on both sides

6x-2

Next, add 2 on both sides

6x

Then, subtract 8x on both sides

-2x

Finally, Divide both sides by -2. Don't forget to switch the equality sign because the variable was changed to a positive using division.

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4 0
3 years ago
Read 2 more answers
Janelle saved up $265, then she bought a sweater for d dollars. How much money does Janelle have left?
Amiraneli [1.4K]

Answer:265-d


Step-by-step explanation:

If she had 265 and used dozen it's 265 less d

3 0
2 years ago
during the weekend Michael took 6 and 3/7 hours to do his homework, 4.37 hours to clean his room and then walked his dog for 2/3
alukav5142 [94]

We conclude that Michael worked for a total of 11.46 hours in the weekend.

<h3>How much time did he work on the weekend?</h3>

We know that during the weekend, the times that he used for each task are:

  • (6 + 3/7) hours to do his homework.
  • 4.37 hours to clean his room.
  • 2/3 hours to walk the dog

The total time is given by the sum between the above numbers, where the difficulty is the fact that the 3 numbers are in different notations (decimal, fraction, and mixed).

The sum is:

S = (6 + 3/7) h + 4.37 h + 2/3 h

The easier way to do this, is to write the 3 numbers in decimal form:

2/3 = 0.66

6 + 3/7 = 6 + 0.43 = 6.43

Then the total time is:

S = 6.43 h + 4.37h + 0.66h = 11.46 h

We conclude that Michael worked for a total of 11.46 hours in the weekend.

If you want to learn more about sums:

brainly.com/question/17695139

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3 0
1 year ago
Select all the correct answers.
Naddik [55]

9514 1404 393

Answer:

  • 1.6×10^-8
  • 1.6E-8

Step-by-step explanation:

The place value of a digit to the right of the decimal point is 10 to the negative power of the digit count. The 1st digit right of the decimal point has a place value of 10^-1.

Here, the most significant digit of 0.000000016 is in the 8th place to the right of the decimal point, so its place value is 10^-8.

  0.000000016 = 1.6×10^-8

Another way to write the same number is 1.6E-8. (The "E" is a stand-in for ×10^.)

_____

Your (graphing or scientific) calculator or a spreadsheet can display this in scientific notation for you.

__

That many nanoseconds, as this problem states, would be 1.6×10^-17 seconds. "Nano" is an SI prefix meaning 10^-9.

8 0
3 years ago
Find each unit cost rounded to the nearest cent. Then determine the better buy. 3 cans of corn for $1.68; 5 cans of corn for $2.
Bumek [7]

1.68 / 3 = 0.56 per can

2.45 / 5 = 0.49 per can

 the 5 cans for 2.45 is better because it is cheaper per can.

4 0
3 years ago
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