24ab5c + 42a3b8
A.
8a^3b^13(3c + 5)
B.
6ab^5(4c + 7a^2b^3)
C.
6ab(4b^4c + 7a^2b^7)
C. 6ab(4b^4c + 7a^2b^7)
Solve for x:
4(3x - 4) + 8 = 40
A.
13
B.
3
C.
4
D.
12
Let's solve for x:
4(3x - 4) + 8 = 40
12x - 16 + 8 = 40
12x - 8 = 40
12x = 48
x = 48/12
x = 4
Therefore, the correct answer is:
C. 4
Identify the solution to 4(2x – 1) = 7 + 3x – 1.
Let's solve for x:
4(2x - 1) = 7 + 3x - 1
8x - 4 = 7 + 3x - 1
8x - 4 = 3x + 6
8x - 3x = 6 + 4
5x = 10
x = 10 / 5
x = 2
Therefore, the solution to the equation 4(2x - 1) = 7 + 3x - 1 is x = 2.
Billy and his younger brother, Reggie, are going to race each other to the park. They will start running at the same time, but Billy is letting Reggie start 20 meters ahead. Billy can run 8 meters per second, and Reggie can run 6 meters per second.
Which equation can you use to find s, the number of seconds it will take for Billy to catch up to Reggie if they each run as fast as they can?
To find the equation that can be used to find the number of seconds it will take for Billy to catch up to Reggie, we need to consider the distance traveled by each of them.
Let s be the time in seconds it will take Billy to catch up to Reggie.
The distance traveled by Billy in seconds s is 8s.
The distance traveled by Reggie (who starts 20 meters ahead) in seconds s is 6s + 20.
When Billy catches up to Reggie, they will have traveled the same distance. Therefore, we can write the equation:
8s = 6s + 20
Now, we can solve this equation to find the value of s.
Solve: 9 + 4y > 1
To solve the inequality 9 + 4y > 1, we need to isolate the variable y. Here's the solution step by step:
9 + 4y > 1
Subtract 9 from both sides to isolate the term with y:
4y > 1 - 9
4y > -8
Divide by 4 to solve for y:
y > -8/4
y > -2
Therefore, the solution to the inequality 9 + 4y > 1 is y > -2.