This is the concept of algebra, to calculate the proportion of wool in each item we proceed as follows;
Let the amount of wool used for hat be x
amount of wool in sweater will be 5x
the amount of wool used in scarf will be x-5
therefore the total amount of wool will be:
x+5x+(x-5)=550
x+5x+x-5=550
7x-5=550
7x=550+5
7x=555
hence;
x=555/7
x=79
the amount used in hat x=79g
amount used in sweater 5x=395g
amount used in scarf=79-5=74g
Answer: 28
Step-by-step explanation:
Simplifying
2x + 16 = 3x + -12
Reorder the terms:
16 + 2x = 3x + -12
Reorder the terms:
16 + 2x = -12 + 3x
Solving
16 + 2x = -12 + 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation.
16 + 2x + -3x = -12 + 3x + -3x
Combine like terms: 2x + -3x = -1x
16 + -1x = -12 + 3x + -3x
Combine like terms: 3x + -3x = 0
16 + -1x = -12 + 0
16 + -1x = -12
Add '-16' to each side of the equation.
16 + -16 + -1x = -12 + -16
Combine like terms: 16 + -16 = 0
0 + -1x = -12 + -16
-1x = -12 + -16
Combine like terms: -12 + -16 = -28
-1x = -28
Divide each side by '-1'.
x = 28
Simplifying
x = 28
Area of a parallelogram=base x heigth
Data:
base=(2x+3)
heigth=(ax+5)
area of this parallelogram=8x²+bx+15
Therefore:
8x²+bx+15=(2x+3)(ax+5)
8x²+bx+15=2ax²+10x+3ax+15
8x²+bx+15=2ax²+(10+3a)x+15
Then:
8x²=2ax²
a=(8x²)/(2x²)=4
bx=(10+3(4))x
bx=(10+12)x
b=22x/x=22
Answer: a=4 and b=22.
Answer:The first one should be it Dont trust me
Step-by-step explanation:
The width is 146.0315533981 cuz 12033÷82.4 is 146.0315533981
