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:
5y
Step-by-step explanation:
1 plus 1 is two. Thank you.
Answer: 89 students remained at school that day.
Step-by-step explanation: If there are 104 students, and 15 are absent, you subtract, therefore, the answer is 89.
Answer:
The means differ by 1, but the ranges differ by 40.
Step-by-step explanation:
The mean for LaTesha's score is (92+45+67+36+80)/5= 64
The mean for Benards score is (63+68+62+69+53)/5= 63
The range for LaTeshas score is 92-36=56
The range for Benards score is 69-53=16
So, 64-63=1 and 56-16= 40
