Answer:
D. 5/6
Step-by-step explanation:
The given fractions have decimal values of ...
2/3 ≈ 0.67
6/7 ≈ 0.86
The answer choices are approximately 0.60, 0.50, 0.43, and 0.83.
The last choice (5/6) is between 2/3 and 6/7.
Using a common denominator of 42, these three fractions are ...
2/3 = 28/42
5/6 = 35/42
6/7 = 36/42
The fraction 5/6 lies between 2/3 and 6/7.
_____
It is useful to memorize the decimal equivalents of fractions with denominators of 10 or less. There are some patterns involved that make it easier.
Multiples of 10.
Is that what you are asking?
Answer:
Length = 5
Width = 21
Step-by-step explanation:
(x)(x + 16) = 105
x^2 + 16x = 105
x^2 + 16x - 105 = 0
(x - 5) x ( x + 21) = 0
x - 10 = 0
x = 5
x + 21 = 0
x = -21
Now that we have the zeroes.
We have to find the most viable one to put in.
Using -21 would not make sense, so we will use 5.
Plug it in:
x = 5
(5) (5 + 16) = 105
5 ( 21) = 105
Answer:
B. Negative
Step-by-step explanation:
We are given that x equals negative and y equals positive.
That means the fraction is negative multiplied by the 7y³ term, which is positive.
Negative times positive is negative, so B is our answer.
