Which of the following is equivalent to the expression below
6( 4x + 6 ) + 6x
A.30x + 6
B.10x + 6
C.24x + 36
D. 30x + 36
To simplify the expression, we distribute the 6 to both terms inside the parentheses:
6(4x + 6) + 6x = (6 * 4x) + (6 * 6) + 6x
Simplifying further:
= 24x + 36 + 6x
= 30x + 36
Therefore, the expression is equivalent to 30x + 36.
The correct answer is D.
Johnny read an entire series of books with a total of 4,732 pages. In the equation below, d is the number of days it took Johnny to read the book series.
4,732=26d
What the unit rate in the equation
A. 182 page per day
B. 26 page per day
C. 4,732 page per day
D. 4,706 page per day
To find the unit rate in the equation, divide the total number of pages (4,732) by the number of days (d):
Unit rate = Total pages / Number of days
Unit rate = 4,732 / d
Therefore, none of the given options correctly represents the unit rate in the equation.
well can you take a guess and chose a b c or d
Based on the given equation (4,732 = 26d), we can determine the unit rate by dividing the total number of pages (4,732) by the coefficient of d (26).
Unit rate = Total pages / Coefficient of d
Unit rate = 4,732 / 26
Simplifying the division:
Unit rate ≈ 182.46
Rounded to the nearest whole number, the unit rate is approximately 182 pages per day.
Therefore, the closest option that represents the unit rate is A. 182 pages per day.