1.5(x+4)-3=4.5(x-2)
First, distribute 1.5 into x and 4, and 4.5 into x and -2, to get rid of the parentheses. Everything that we do to solve this equation is to isolate x to solve for its value.
1.5x+6-3=4.5x-9
Combine like terms on both sides (6-3).
1.5x+3=4.5x-9
Subtract 1.5x from both sides.
3=3x-9
Add 9 to both sides.
12=3x
Divide both sides by 3.
4=x
The answer is 4.
I hope this helps :)
Answer:
Step-by-step explanation:
The angles are vertical since they form from two lines crossing at a point and they share a same vertex.
Vertical angles are equal so
Answer:
notebook: $2.5
pen: $1.5
part B, he can buy 3 pens
Step-by-step explanation:
A
let the cost of notebook be n, cost of pen be p
1. 4n + 3p = 14.5
2. 5n + 6p = 21.5
by 1, you can get 3p = 14.5 - 4n, put it into 2
5n + 2(14.5 - 4n) = 21.5
5n + 29 - 8n = 21.5
3n = 29 - 21.5 = 7.5
n = 2.5
put n = 2.5 into 1
4(2.5) + 3p = 14.5
3p = 4.5
p = 1.5
B
Waseem buy 3 notebooks for each pen, let number of pen be m, then the number of notebook will be 3m
m(2.5) + 3m(1.5) < 27
2.5m + 4.5m = 7m < 27
m < 27/7
maximum integer value for m = 3
Answer:
24 = x
Step-by-step explanation:
You use Pythagorean theorem. Since the normal equation is , you already have the and another side which can be or .
Because you have the hypotenuse and a side , your equation looks like this now:
and when you solve for be you just subtract to get 24.