Answer:
113x+2
Step-by-step explanation:
Answer:
m = 18
Step-by-step explanation:
-2/3m = -12
multiply both sides of the equation by 3:
-2/3m(3) = -12(3)
simplify:
-2m = -36
divide both sides by -2:
-2m/-2 = -36/-2
simplify:
m = 18
Answer:
Step-by-step explanation:
Let O=number of oranges and A=number of apples.
O+A=20
O=20-A
1.25A+0.95O=22.60, using O found above makes this become
1.25A+0.95(20-A)=22.60
1.25A+19-0.95A=22.60
0.3A+19=22.60
0.3A=3.6
A=12, since O=20-A
O=20-12
O=8
So she bought 8 oranges and 12 apples. The question really only asks for the number of apples bought.
12 apples were bought.
We need to find two numbers that multiply to 24 (last coefficient) and add to 10 (middle coefficient). Through trial and error, the two values are 6 and 4
6 + 4 = 10
6*4 = 24
So we can break up the 10ab into 6ab+4ab and then use factor by grouping
a^2 + 10ab + 24b^2
a^2 + 6ab + 4ab + 24b^2
(a^2+6ab) + (4ab+24b^2)
a(a+6b) + 4b(a+6b)
(a+4b)(a+6b)
Therefore, the original expression factors completely to (a+4b)(a+6b)
Answer:
58 square feet
Step-by-step explanation:
The room is already broken down into two smaller rectangles.
The smaller of the two measures 4 ft by 2 ft. 
, so substitute 4 for 
and 2 for 
.
(smaller rectangle) 
, or 
.
(smaller rectangle) 
The larger measures 10 ft by 5 ft, so using the same method, multiply times .
(larger rectangle) 
, or 
.
(larger rectangle) 
Add the two rectangles' areas together to find the total area of the room.
8 + 50 = 58
