Answer:
3/8
Step-by-step explanation:
He purchased 3/4 yard of fabric, then used 3/8 of it. You would need to subtract the 3/8 from 3/4 because the fabric is being used up.
Answer: x^2+12=x+4
Step-by-step explanation:
Answer:
50.3
Step-by-step explanation:
area of a circle = πr²
where r = radius
given radius = 4yd
so we have A = πr²
==> plug in r = 4 ( because the given radius is 4yd )
A = π(4)²
==> evaluate exponent
A = 16π
==> simplify 16π
A = 50.3 ( rounded to the nearest tenth )
Answer:
22 laps
Step-by-step explanation:
Lisa swam 6 fewer laps than four times of Amanda's laps.
Hence, L = 4A - 6
Again, Brynne swam eight more than twice as many laps as Amanda.
Hence, B =2A + 8
If Lisa and Brynne swam the same amount of laps, then
L = B
⇒ 4A - 6 = 2A + 8
⇒ 2A = 14
⇒ A = 7 laps
So, B = 2A + 8 = 2(7) + 8 = 22 laps
Therefore, Brynne swam 22 laps. (Answer)
Answer:
(x + 0.5) (x² - 0.5x + 0.25)
Step-by-step explanation:
x³ + 1/8
We can rewrite 1/8 as a decimal: 0.125
the cubed root of 0.125 then is 0.5; recalling that 5³ yields 125
Knowing this then, we can factor out our expression
(ax + b) (ax² − abx + b² ) = ax³ + b³, where a and b are coefficients.
If a = 1, and b we found to = 0.5, our expression becomes
(x + 0.5) (x² - 0.5x + 0.25)
We cannot further factor x² - 0.5x + 0.25, so our answer remains
(x + 0.5) (x² - 0.5x + 0.25)
Check via foiling
(x * x²) + (x * -0.5x) + (x * 0.25) + (0.5 * x²) + (0.5 * -0.5x) + (0.5 * 0.25)
x³ - 0.5x² + 0.25x + 0.5x² - 0.25x + 0.125 Combine like terms
x³ + 0.125 = x³ + 1/8
