Which number should a chairs have the distributive property entire rectangle (both rectangles together)?
A. (9 + 6).(9 + 11)
B. 9.6.11
C. 11(6 + 9)
(9.6)+(9.11)
The correct option that represents the distributive property for the entire rectangle is C. 11(6 + 9). This is because the distributive property states that a(b + c) = ab + ac. In this case, the width of the rectangle is 11 and the length is the sum of 6 and 9.
Simplify the expression.
0.625+ 3/4
A. 11/8
B. 3/2
C. 11/9
D. 8/11
To simplify the expression 0.625 + 3/4, first, we need to convert the decimal 0.625 into a fraction. We can do this by noting that 0.625 is equivalent to 625/1000. Simplifying the fraction, we divide the numerator and denominator by 125, which gives us 5/8.
Now, we add 5/8 and 3/4:
5/8 + 3/4
Since these fractions have a different denominator, we need to find a common denominator, which is 8, the least common multiple of 8 and 4.
Now, we can modify the fractions to have 8 as the denominator:
5/8 + 6/8 = 11/8.
Therefore, the simplified expression is given by A. 11/8.
Divide
-4/17÷3/4
A.-3/17
B. 3/17
C. -16/51
D 16/51
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.
-4/17 ÷ 3/4 can be written as (-4/17) * (4/3).
Next, we multiply the numerators together and the denominators together:
(-4 * 4) / (17 * 3) = -16 / 51.
Therefore, the simplified expression is given by C. -16/51.