1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
DENIUS [597]
3 years ago
6

Casey wants to buy a gym membership. Gym A has a $150 joining fee and costs $35 per month. Gym B has no joining fee and costs $6

0 per month. A) In how many months will both gym memberships be the same? B) If Casey plans to only go to the gym for 5 months, which gym would be cheaper?
Mathematics
1 answer:
MariettaO [177]3 years ago
6 0

Answer:

Step-by-step explanation:

Gym A has a $150 joining fee and costs $35 per month.

Assuming that Casey wants to attend for x months, the cost of using gym A will be

150 + 35 times x months. It becomes

150 + 35x

Gym B has no joining fee and costs $60 per month.

Again, assuming that Casey wants to attend for x months, the cost of using gym B will be

60 × x months = 60x

A) To determine the number of months that it will both gym memberships to be the same, we will equate them.

150 + 35x = 60x

60x - 35x = 150

25x = 150

x = 150/25 = 6

It will take 6 months for both gym memberships to be the same.

B) If Casey plans to only go to the gym for 5 months,

Plan A will cost 150 + 35×5 = $325

Plan B will cost 60 × 5 = $300

Plan B will be cheaper

You might be interested in
Use the distributive property to express 36 + 16. *
marissa [1.9K]

Answer:

it is c

Explanation:

hopes it helps

6 0
2 years ago
Read 2 more answers
What is the place value of the 8 in 281,480,100 ?
barxatty [35]
The place value 8 in 281,480,100 is the 10th. And it is the same way in the other problem. How you get your answer is by counting like this EX: 1, 10, 100, 1,000, 10,000, 100,000... And so on.
3 0
3 years ago
Which function is best represented by this graph ​
zavuch27 [327]

Answer:the potato is ugly

Step-by-step explanation:because it has marks

8 0
3 years ago
The top and bottom margins of a poster 66 cm each, and the side margins are 44 cm each. If the area of the printed material on t
jasenka [17]

Answer:

  • width: 24 cm
  • height: 36 cm

Step-by-step explanation:

When margins are involved, the smallest area will be the one that has its dimensions in the same proportion as the margins. If x is the "multiplier", the dimensions of the printed area are ...

  (4x)(6x) = 384 cm^2

  x^2 = 16 cm^2 . . . . . divide by 24

  x = 4 cm

The printed area is 4x by 6x, so is 16 cm by 24 cm. With the margins added, the smallest poster will be ...

  24 cm by 36 cm

_____

<em>Comment on margins</em>

It should be obvious that if both side margins are 4 cm, then the width of the poster is 8 cm more than the printed width. Similarly, the 6 cm top and bottom margins make the height of the poster 12 cm more than the height of the printed area.

_____

<em>Alternate solution</em>

Let w represent the width of the printed area. Then the printed height is 384/w, and the total poster area is ...

  A = (w+8)(384/w +12) = 384 +12w +3072/w +96

Differentiating with respect to w gives ...

  A' = 12 -3072/w^2

Setting this to zero and solving for w gives ...

  w = √(3072/12) = 16 . . . . matches above solution.

__

<em>Generic solution</em>

If we let s and t represent the side and top margins, and we use "a" for the printed area, then the above equation becomes the symbolic equation ...

  A = (w +s)(a/w +t)

  A' = t - sa/w^2

For A' = 0, ...

  w = √(sa/t)

and the height is ...

  a/w = a/√(sa/t) = √(ta/s)

Then the ratio of width to height is ...

  w/(a/w) = w^2/a = (sa/t)/a

  width/height = s/t . . . . . . the premise we started with, above

6 0
3 years ago
Is x^(-2)+5 a polynomial expression? Why or why not?
Lynna [10]

Answer:

it is not because a polynomial cannot have a negative power

3 0
3 years ago
Other questions:
  • What is the product of (x − 5) and (x − 4)? Use the model to find the result.
    6·1 answer
  • Someone please help me with this question? Thanks if you do!
    14·1 answer
  • Plot 5 parabolas, one through each set of color-coordinated points. (image attached)
    14·1 answer
  • Marsha is changing her phone
    14·1 answer
  • ​​ How can you find the volume of a rectangular prism with the following dimensions: length = 7, width = 5, height = 11?
    9·2 answers
  • Simplify the equation by combining like<br> terms.<br> 2x + 2x – 4y- y = 4x + [? ]y
    5·1 answer
  • Ryo accidentaly ordered 240%
    11·1 answer
  • What is the length of AC?
    6·1 answer
  • If a six pack of soda cost 2.46 how much is one can
    10·1 answer
  • kerri said that the quotient of 4.2/5 is about 8 tenths because 4.2/5 is close to 40 tenths /5 do you agree with Kerris reasonin
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!