Step-by-step explanation:
You need to remember the properties of exponents: multiplication adds the exponents, division subtracts the exponents.
If you multiply two powers with the same base, the result will be the base to the sum of the powers.
If you divide two powers with the same base, the result will be the base to the difference of the powers.
In your case you will this:
That is:
Or:
Answer:
A D and E
Step-by-step explanation:
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:
Step-by-step explanation:
There all 10 total options to choose from.
Denominator is 10.
There are 4 purple ones, so 
Answer:
2
Step-by-step explanation:
can make rectangle and find area 1x/2=1 x=2
