Answer:
Step-by-step explanation:
So we have the equation:
Combine like terms:
Add:
Add 16 to both sides:
Divide both sides by 8:
So, our answer is 24.5 :)
Answer:
<u>D. 60 ft²</u>
Step-by-step explanation:
Area formula :
Solving :
- 10 ft x 6 ft
- <u>60 ft²</u>
Answer:
x = 36 and √x = 6; total 42 children
Step-by-step explanation:
Number of boys: x
Number of girls: √x
Total number of kids: x + √x = 42.
Find x.
Rewrite x + √x = 42 as √x = 42 - x. Then square both sides:
x = 1764 - 84x + x^2, or
x^2 - 85x + 1764 = 0
Check out Answer C: x = 36. Is the above equation true for x = 36? YES
Check out Answer A: x = 49. Is the above equation true for x = 49? YES
Assume that x = 36. This would be the number of boys. The number of girls would be √36, or 6. Does the sum of 36 and 6 equal 42? YES. So the number of boys is 36 and the number of girls is 6.
Assume that x = 49. This would be the number of boys. The number of girls would be √49, or 8. Does the sum of 49 and 7 equal 42? NO. So we reject x = 49 as the number of boys and accept x = 36 as being correct.
Area of a rectangle
is LxW. We let x = width and x+20 = length. Using the formula we will evaluate;
A = LxW
4800 =
(x+20)(x)
x² + 20x –
4800 = 0
We will get
the factors of it to determine x values, in this case, we are only looking at
the positive x value since are dealing with the area.
x² + 20x +
4800 = 0
(x+80)(x-60)
= 0
(x + 80) = 0 | (x-60) = 0
x = - 80 | x = 60
x = 60, this is the width
x +20 = 80, this is the length