Answer:
Step-by-step explanation:
5(x-3y)+2(4x+y)-(x+y)
5x-15y+8x+2y-x-y
5x+8x-x-15y+2y-y
13x-x-13y-y
12x-12y
Answer:
-2(5x-7)
Step-by-step explanation:
Factor until each factor is linear
If

is odd, then

while if

is even, then the sum would be

The latter case is easier to solve:

which means

.
In the odd case, instead of considering the above equation we can consider the partial sums. If

is odd, then the sum of the even integers between 1 and

would be

Now consider the partial sum up to the second-to-last term,

Subtracting this from the previous partial sum, we have

We're given that the sums must add to

, which means


But taking the differences now yields

and there is only one

for which

; namely,

. However, the sum of the even integers between 1 and 5 is

, whereas

. So there are no solutions to this over the odd integers.
1 pack of 12 will give 4 students their pencils. 20/4 = 5
D. 11.75 + 3.299 + 5.31 + 6.27
Step-by-step explanation:
11.75 would round up to 12, 3.299 would round down to 3, 5.31 would round down to 5 and 6.27 would round down to 6