Answer:
8/5
Step-by-step explanation:
Fire truck because there are 6 designs and 6x2=12 but there are 3 left so it is plane, car, then firetruck
Problem 1:
1. distribute the 4 to (x-3)
2. 2x-6+4x-12
3. Combine like terms; 6x-18
Problem 2:
1. Combine the equations; 10w+120+45w+25
2. Combine like terms; 55w+ 145
Problem 3:
1. Distribute the - to the g+11
2. -2g+7-g-11
3. -3g-4
Problem 4:
1. 10L+w
Answer:
A. (x - 5)(x - 5)
Step-by-step explanation:
We will do this the old fashioned way...just plain old factoring.
This polynomial is of the form

The product of a and c have to add up to equal the "middle" term, -10.
a = 1, b = -10, c = 25
a * c = 1 * 25 = 25
Now we need the factors of 25 to find the combination of factors that will result in a -10. The factors of 25 are: 1, 25 and 5, 5
5 and 5 add up to be 10, but since we need a -10, we will use -5 and -5. The product of -5 * -5 = 25, so we are not messing anything up by using the negative 5.
Putting them in order in standard form we have

Factor by grouping:

There is an x common to both terms in the first set of parenthesis, so we will factor that out; there is a 5 common to both terms in the second set of parenthesis, so we will factor that out:
x(x - 5) - 5(x - 5)
NOW what's common in both terms is the (x - 5) so we factor THAT out, and what's left gets grouped together:
(x - 5)(x - 5)
Answer:
3) 3a - 2 + 3 = -2
3a = -2 + 2 - 3 = -3
a = -3/3 = -1
4) m/-6 - 18 - 4 = -16
m/-6 = -16 + 18 + 4 = 6
m = 6 · (-6) = -36
5) x/-2 - 4 + 22 = -28
x/-2 = -28 + 4 - 22 = -46
x = -46 · (-2) = 92
6) -13 = 5 + 20m - 2m
-13 = 5 + 18m
-18 = 18m
m = -18/18 = -1
7) -2(2p - 1) = -14
-4p + 2 = -14
-4p = -14 - 2 = -16
p = -16/(-4) = 4
8) -1(8x + 20) = 12
-8x - 20 = 12
-8x = 12 + 20 = 32
x = 32/(-8) = -4
9) -49 = 7(2x + 3)
-49 = 14x + 21
-14x = 49 + 21 = 70
x = 70/-14 = -5
10) 3(8h - 4) + 17 = -19
24h - 12 + 17 = -19
24h = -19 + 12 - 17 = -24
h = -24/24 = -1