<span>2.5 – 1.2x < 6.5 – 3.2x
-1.2x + 3.2x < 6.5 - 2.5
3.2x - 1.2x < 4
2x < 4
x < 4/2
x < 2</span>
We can factor this by using grouping. Take the leading coefficient and multiply it by the constant. In this case we get 5*-7 = -35.
Now we need 2 numbers that add to 2 and multiply to be -35. The numbers are -5 and 7.
So split the 2r into these two terms and group.
(5r^2 - 5r) + (7r - 7)
Factor both groups.
5r(r-1) + 7(r-1)
The factors of (r-1) can be added together to get the answer.
(r-1)(5r+7)
The answer is c because if you do 7x60 you'll get 420 and 830-420=410 and 7x80 you'll get 560 and 970-560 is also 410.
The piece Zoe cut off would be 1 and 5/12 ft long.
5 and 1/4 - 3 and 5/6
The least common denominator is 24.
5 and 6/24 - 3 and 20/24
5 and 6/24 becomes 4 and 30/24
4 and 30/24 - 3 and 20/24 = 1 and 10/24
1 and 10/24 can be simplified to 1 and 5/12.
4x+7=-3
4x=-3-7
4x=-10
X=-10/4
X=-2.5
