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 distribute the 6, we multiply it by each term inside the parentheses:
6 * 4x = 24x
6 * 6 = 36
So the expression becomes:
24x + 36 + 6x
Combining like terms, we get:
30x + 36
Option D, 30x + 36, is equivalent to the given expression.
Randy bought 5 candy bars for $6.05. What is the cost per candy bar?
A. $1.21
B. $1.15
C. $0.83
D. $7.26
To find the cost per candy bar, we divide the total cost by the number of candy bars:
$6.05 / 5 = $1.21
Thus, the cost per candy bar is $1.21.
Option A, $1.21, is the correct answer.
The graph shows the hourly pay for employees at a hamburger stand.
y = earnings (in dollars)
y goes from 0 to 100
x = Hours
x goes from 0 to 5
Based on the graph, what does the point (3, 45) represent?
A. Employees earn $3 in 45 days.
B. Employees earn $45 in 3 days.
C. Employees earn $45 in 3 hours.
D. Employees earn $3 in 45 hours.
The point (3, 45) on the graph represents the earnings when working for 3 hours.
Since the x-axis represents hours and the y-axis represents earnings, the point (3, 45) indicates that employees earn $45 after working for 3 hours.
Therefore, option C, "Employees earn $45 in 3 hours," is the correct answer.
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 is the unit rate in the equation?
A. 182 pages per day
B. 26 pages per day
C. 4,732 pages per day
D. 4,706 pages per day
The unit rate in the equation is the amount of pages Johnny reads per day.
In the equation 4,732 = 26d, the coefficient 26 represents the number of pages Johnny reads per day.
Therefore, the unit rate in the equation is 26 pages per day.
Option B, "26 pages per day," is the correct answer.