Answer:
Step-by-step explanation:
Given
Required
Solve
Substitute in
Open bracket
Collect like terms
Divide both sides by 2
Substitute in
Answer:
27) 14x
28) n/9
29) A number, z, divided by 11
30) The sum of a number, z, and 11
Answer:
Groot
Step-by-step explanation:
Answer:
B. x < -8 or x > 8
Step-by-step explanation:
You can use process of elimination to solve this problem by going through every solution and testing them out, but let's jump right to B.
Process:
You know that since the inequality states that x^2 has to be greater than 64, x has to be more than 8, or less than -8.
This is because 8^2 = 64, and -8^2 = 64, and the inequality requires the answer to be more than 64.
Looking at B., you can see that if x is < -8, the square of, for example, -9, would be 81. This is greater than 64, so this works!
Now, B. also has an alternative. The 'or' is a major clue to which is the correct answer, since the square root of any number can be positive or negative. (-8^2 = 8^2)
The 'or' states that x must be greater than 8. So, for example, if we take the square of 10, we get 100, and that is also greater than 64.
We've proven that this solution is accurate for both parts, so it is definitely the one we want!
Hope this helps!
Answer:
47 pizzas
Step-by-step explanation:
Dave makes 6 pizzas in the first hour it is open and 3 pizzas each hour after that.
If the number of hours after the first hour is represented as x, then the number of pizzas he makes after x hours is:
6 + 3x
Lauren makes 11 pizzas in the first hour and 3 pizzas each hour after that. Then:
11 + 3x
The pizzeria is open for 6 hours in all, that is, 5 hours after the first hour.
This means that:
x = 5
The total amount of pizzas that Dave and Lauren make is:
6 + 3x + 11 + 3x
=> 17 + 6x
Therefore, the total amount of pizza they make 5 hours after the first hour is:
17 + 6(5) = 17 + 30 = 47 pizzas
