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: 1.8 x 103 meters
Step-by-step explanation:
The average of the two extremes is 1,700 meters. This would be 1.7x10^3 in scientific notation. None of the four options include this number. But three stand out as total losers. We can convert the answer options to see the difference:
O 1.7 x 102 meters = 170 meters [Loser]
O 1.8 x 103 meters = 1800 meters
O 1.7 x 10-3 meters = 0.0017 meters [Loser]
O 1.8 x 10-2 meters = 0.018 meters [Loser]
Answer:
All answers are in explanation
Step-by-step explanation:
7.74 + 9.281 = 13.055
8.2 x 4.3 = 35.26
32.5 x 6.88 = 223.6
37.4 ÷ 5.5 = 6.8
16.85 ÷ 5 = 3.37
35.75 + 55.50 x 2 = 146.75
I answered those questions which make sense some of your questions doesn't make any sense
Answer:
There are 4 common factors of 30 and 72, that are 1, 2, 3, and 6. Therefore, the greatest common factor of 30 and 72 is 6.
Step-by-step explanation:
84/18=14/3
60/32=15/8
