5/8 = 0.625
Hope this helps!
Answer:
width = 8 feet and length = 12 feet
Step-by-step explanation:
Let the width be w then the length = 3w - 12 ( 12 less than 3 times the width )
The area (A) of a rectangle is
A = length × width, that is
w(3w - 12) = 96 ← area of floor
3w² - 12w = 96 ( subtract 96 from both sides )
3w² - 12w - 96 = 0 ← in standard form for a quadratic equation
Divide all terms by 3
w² - 4w - 32 = 0
Consider the product of the factors of the constant term ( - 32) which sum to give the coefficient of the w- term (- 4)
The factors are - 8 and + 4, since
- 8 × 4 = - 32 and - 8 + 4 = - 4, hence
(w - 8)(w + 4) = 0
Equate each factor to zero and solve for w
w - 8 = 0 ⇒ w = 8
w + 4 = 0 ⇒ w = - 4
However, w > 0 ⇒ w = 8
Hence width = 8 feet
length = 3w - 12 = (3 × 8) - 12 = 24 - 12 = 12 feet
Answer:
c
Step-by-step explanation:
To find the percent of the total that George collected, you need to create a ratio with the number of pounds George collected compared to the number of total pounds that were collected.
You will then divide these to find the part (decimal) that George collected. You can convert the decimal to a percent.
3 1/4+6 1/3+11 1/6 = 20 3/4 total pounds of cans.
11 1/6 George
20 3/4 total
11 1/6÷20 3/4 = 0.538
0.538 is approximately 54%.
George collected proximately 54% of the total amount of cans.
Answer:
Sqrt32 = 4
, Sqrt28 = 2
, Sqrt12 = 2
Step-by-step explanation:
Square root of 32:
First we find the prime factors of the number by making a factor tree.
32 splits into 8 and 4.
8 splits into 4 and 2
4 splits into 2 and 2
4 splits into 2 and 2
This becomes the square root of 
x x 2. It will simplify to:
4
Square root of 28:
The prime factors of this number are:
2, and 2
This simplifies to 2
Square root of 12:
The prime factors of this are:
3, 2, 2
This simplifies to:
2
