First distribute
a(b+c)=ab+ac so
2(x+3)=2x+6
-3(2-2x)=-6+6x
5x+3=2x+6-6+6x
add like terms
5x+3=2x+6x+6-6
5x+3=8x+0
subtract 5x from both sides
3=3x
divide both sides by 3
1=x
there are 1 solutions
Answer:
3 with a remainder of 1
Step-by-step explanation:
Answer: (a) 11.8
(b) 13
Step-by-step explanation:
Since George wants to put a string of lights around , it means we will have to consider the perimeter of the shape.
Perimeter of a rectangle is given by :
P = 2( L+B)
P = 2 ( 2.5 + 3.4)
P = 2 ( 5.9)
P = 11.8 meters
(b) Since he wants to put an addition to his wooden deck that is 0.6 meters longer , then the perimeter will be the perimeter of the first shape + 2(0.6). We used 2(0.6) because the two lengths of the rectangle must be considered
Therefore, we have
P = 11.8 meters + 2(0.6)
= 11. 8 + 1.2
= 13 meters
Therefore George needs 13 meters length of light
In this problem, you have to find the total profit the company made in the three quarters which makes up 3/4 of the whole. In the second quarter, the profit is 4 million. Let x be the profit in the first quarter. Following the description,
4 = (1+1/3)x
x = 3 million
Thus, the second quarter made 5.33 million profit.
For the third quarter, let's assign it to the y variable. Following the description,
4 = (4/5)(y)
y = 5 million
Thus, the total profit is 4 + 3 + 5 = 12 million
