Answer:
<u>Part 1:</u>
For Platinum Gym:
90 + 30x
For Super Fit Gym:
200 + 20x
<u>Part 2:</u> $270
<u>Part 3:</u> $320
<u>Part 4:</u> 11 months
<u>Part 5:</u> See explanation below
Step-by-step explanation:
<u>Part 1:</u>
Let "x" be the number of months:
For Platinum Gym:
90 + 30x
For Super Fit Gym:
200 + 20x
<u>Part 2:</u>
We put x = 6 in platinum gym's equation and get our answer.
90 + 30x
90 + 30(6)
90 + 180
=$270
<u>Part 3:</u>
We put x = 6 into super fit's equation and get our answer.
200 + 20x
200 + 20(6)
200 + 120
=$320
<u>Part 4:</u>
To find the number of months for both gyms to cost same, we need to equate both equations and solve for x:
90 + 30x = 200 + 20x
10x = 110
x = 11
So 11 months
<u>Part 5:</u>
We know for 11 months, they will cost same. Let's check for 10 months and 12 months.
In 10 months:
Platinum = 90 + 30(10) = 390
Super Fit = 200 + 20(10) = 400
In 12 months:
Platinum = 90 + 30(12) = 450
Super Fit = 200 + 20(12) = 440
Thus, we can see that Platinum Gym is a better deal if you want to get membership for months less than 11 and Super Fit is a better deal if you want to get membership for months greater than 11.
Answer:
The Alans's average for the course is 84.5
Step-by-step explanation:
We are given
There are 4 tests, A Term paper and a Final examination.
Score = 92, 78, 82, 90.
Term paper score = 80
Final examination score = 86
Weighted mean = ∑ w.f/∑w
also the sum of all the weights is 100% = 1
weighted mean = 15%*92 + 15%*78+15%*82+15%*90+20%*80+20%*86/1
= 51.3 + 33.2
= 84.5
Therefore the Alans's average for the course is 84.5
Answer:
29 times
Step-by-step explanation:
We can find this answer by dividing 87 by 3
87/3 = 29
We can prove this by multiplying 29 times 3 which gives us 87
