9 − 5 1/3
=9−1 6/3
=11/3
=3 2/3
<span>Simplifying
x + 2x = 5 + 10
Combine like terms: x + 2x = 3x
3x = 5 + 10
Combine like terms: 5 + 10 = 15
3x = 15
Solving
3x = 15
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Divide each side by '3'.
x = 5
Simplifying
x = 5</span>
Answer:
16 ft by 22 ft
Step-by-step explanation:
The Area of the carpeting she must have = 352 ft²
To solve for this, we have:
Length × Width = Area of a rectangle
352ft² = Length × Width
352ft² = (20 - x) (26 - x)
352 = 520 - 20x - 26x + x²
352 = 520 - 46x + x²
Collect like terms
x² - 46x + 520 - 352
x² - 46x + 168
We factorise
x² - 4x - 42x + 106
(x² - 4x) -(42x + 106)
x(x - 4) -42(x - 4)
(x - 4)(x - 42)
x - 4 = 0, x = 4
x - 42 = 0, x = 42
We choose the least value for x
Hence, x = 4
Length = 20 - 4 = 16ft
Width = 22- 4= 22ft
The dimensions the rug should have is 16ft by 22 ft, meaning 16ft wide and 22ft long
Answer:
as in pic below
Step-by-step explanation:
Answer:
$212.50
Step-by-step explanation:
Interest = P * r * t
P= principal
r = rate
t = time
r = 0.0425
t = 2 years = 24 months
P = 2500
Interest = 2500 * 0.0425 * 2 = $212.50
