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MrMuchimi
2 years ago
10

Planet Fitness charges a one-time membership fee of $25 and then a monthly charge of $10. Retro Fitness charges a one-time membe

rship fee of $10 and then a monthly charge of $20. When is it less expensive to join Planet Fitness
Mathematics
1 answer:
sergiy2304 [10]2 years ago
7 0

Answer:

x < 3/2 month

Step-by-step explanation:

Let

x = number of months

Planet fitness:

25 + 10x

Retro fitness:

10 + 20x

Equate

25 + 10x < 10 + 20x

25 - 10 < 20x - 10x

15 < 10x

x < 15/10

x < 3/2 month

It is less expensive to join planet when the number of months is less than 3/2 months

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How many ways can two students be chosen from a group of four?<br><br> 4<br> 6<br> 14<br> 10
taurus [48]

Answer:

6

Step-by-step explanation:

8 0
3 years ago
The production planner for Fine Coffees, Inc. Produces two coffee blends: American (A) and British (B). He can only get 300 poun
VladimirAG [237]

Answer:

P=2A+B where:

A= # of pounds of American blend and

B= # of pounds of British blend

Step-by-step explanation:

This is a linear programming problem. In order to solve it we need to determine how we are going to use the provided data and we need to keep in mind what we need to maximize (or minimize depending on the problem)

So, the problem states that "The goal of Fine Coffees, Inc. Is to maximize profits." This last sentence will tell us what the objective function will be. The objective function must model the desired value we want to maximize. So the objective function should represent the profits of selling the two tipes of cofee blends.

So this is the data the problem gives us:

"He can only get 300 pounts of Colombian beans per week and 200 pounts of Dominican beans per week." This part or the problem is talking about the amount of coffee beans he can get depending on its type. This will help us find the restrictions for our linear programming problem, so they are not necessary to state the objective function. Next it states:

"Each pount of American blend cofee requires 12 oz of Colombian beans and 4 oz. of Dominican beans, while a pound of British blend coffee uses 8 oz of each type of bean." Again, this data will help us find the restrictions for our linear programming problem, since they will tell us how much coffe we can manufacture, so they are not needed to find the objective function.

The next part states: "Profits for the American blend are $2.00 per pound, and profits for the British blend are $1.00 per pound." Now, we are interested in this part since it's talking about profits, which is what we need to maximize.

We set A to be the number of pounds of American blend and B to be the number of pounds of British blend. So the profit for American blend is found by using the following equation:

P_{American}=$2.00*A

And the profit for the British blend is found by using the following equation:

P_{British}=$1.00*B

so the total profit is found by adding the two given profits, so we get:

P_{total}=P_{American}+P_{British}

or

P_{total}=$2.00A+$1.00B

which can be simplified to:

P=2A+B

which is our objective function.

6 0
3 years ago
I have no idea what im doing
omeli [17]

Answer:

  • x = - 6

Step-by-step explanation:

A hole is an input value that makes both numerator and denominator equal to zero.

<u>Let's factorize the numerator and denominator:</u>

  • 3x² - 108 = 3(x² - 36) = 3(x + 6)(x - 6)
  • x² + 2x - 24 = x² + 6x - 4x - 24 = x(x + 6) - 4(x + 6) = (x - 4)(x + 6)

<u>We have same factor of x + 6:</u>

  • x + 6 = 0
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8 0
2 years ago
What is the coterminal angle of 330 degrees
aleksandrvk [35]
Positive: 690

Negative: -30
4 0
3 years ago
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wariber [46]
I agree with the 14x all right, but the remainder of the other part is 178. I'm going to recheck my answer. I'm not confident about using synthetic division for this question. It is 57 years since I did something like this. If I was more confident, I would list the results of synthetic division because it is much easier to show than long division. I'm saying the answer should be 14x + 178.

7 0
3 years ago
Read 2 more answers
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