Answer:
5x=256x
5xy= -xy
(3rd) -2x^2y=4x^2y(1st)
5y=3y
(5th) x^2y^2=(3rd) 2x^2y^2
(6th) 3y^2= 5y^2(5th)
Step-by-step explanation:
Hope you understand. Please mark as the brainliest.
Answer: 300/91
Step-by-step explanation:
1. Convert 4 1/3 to an improper fraction
13/3
2. Divide, using the keep, change, flip method to divide fractions
- Keep the first fraction the same (100/7)
- Change the division sign to a multiplication sign
- Flip the second fraction (13/3 -> 3/13)
3. Plug-in and evaluate
100/7 * 3/13
300/91
If you are looking for the solution as a mixed number, it is 3 27/91
4. Simplify, if applicable. This fraction cannot be simplified any further.
Complete the square for the given equation
x² - 2x + ____ + y² - 2y + _____ = 98
x² - 2x + (1) + y² - 2y + (1) = 98 + (1) + (1)
(x - 1)² + (x - 1)² = 100
(x - 1)² + (x - 1)² = 10²
Now the equation is in the form (x - h)² + (y - k)² = r²
Radius = 10
An inequality can be formed by simply translating the problem statement to numerical expressions.
From the problem we know that
added with
hours should be equal or greater than
(helpful insight from the keyword "at least"). Therefore, it's inequality would look like:
(>= is used instead of ≥ for constraints in formatting)
The inequality above best models the situation.
We will call:
M=Mari
J=Jen
Initial equations:
M=2J
M+J=480
(the fact that they work 20 hours a week is not needed in this problem information)
Plug in:
2J+J=480
3J=480
J=160
Jen makes $160 a week.
Therefore:
M=2J
M=2(160)
M=320
Mari makes $320 per week
Jen makes $160 per week
