Step-by-step explanation:
756 = 2² * 3³ * 7.
For 756n to be a perfect cube, all of its prime factors must have a power that is a multiple of 3.
How to get from 2² to 2³: Multiply by 2.
3³ has already a power that is a multiple of 3.
How to get from 7 to 7³: Multiply by 7².
Hence n = 2 * 7² = 98.
We can't eliminate as is so we have to change something up there in the equations to get either the x values the same number but opposite signs, or the y values the same number but opposite signs. I chose to change the y values to the same number but different signs. In the first equation y is -3y and in the second one, y is -8y. The LCM of both of those numbers is 24, so we will multiply the first equation by an 8 (8*3=24) and the second equation by 3 (3*8=24) but since they are both negative right now, one of those multiplications has to involve a negative because - * - = +. Set it up like this:
8(-10x - 3y = -18)
-3(-7x - 8y = 11)
Multiply both of those all the way through to get new equations:
-80x - 24y = -144
21x +24y = -33
Now the y's cancel each other out leaving only the x's:
-59x = -177 and x = 3. Now plug that 3 into either one of the original equations to find the y value. Either equation will work; you'll get the same answer using either one. Promise. -7(3) - 8y = 11 gives a y value of -4. so your solution is (3, -4) or B above.
Answer:
x = lillies
y = tulips
x + y = 13
1.25x + .90y = 14.85
-1.25x - 1.25y = -16.25
1.25x + .90y = 14.85
-0.35y = -1.40
y = 4 tulips
x + 4 = 13
x = 9 lillies
(9 lillies, 4 tulips)
Step-by-step explanation:
Answer:
1.) 
2.) 
3.) 
4.) 
Step-by-step explanation:
The unit rate is also known as slope. Slope is the change in the y values over the change in the x values:
However, with certain graphs, the slope can be found in a simpler manner.
- You start at one point and move across the y-axis, then move along the x-axis until you reach another point on the same line.
- Make sure you move on the y-axis first, then the x-axis. Record the slope as spaces moved in each
- When you move up, the number will be positive
. If you move down, the number will be negative 
. - If you move to the right, the number will be positive
. If you move to the left, the number will be negative 
.
Answer:
The Answer is 10! (I Don't know if you meant 2x5 or 2x5x28) If I am wrong please let me know! If you meant 2x5x28 the answer is 280!
Step-by-step explanation:
