Answer:
= t
x < -2
x > 6
Step-by-step explanation:
For the first equation, let's solve for t.
Subtract 3w from both sides of the equation.
x - 3w = 2t
Now divide by 2.
= t
t is equal to .
For the first inequality, let's solve for x.
First, subtract 1 from both sides, then divide by 3. The result is:
x < -2.
For the second inequality:
First add 5 to both sides, then divide by 2. The result is:
x > 6.
The compound inequality is as follows:
Solutions can be true if x is less than -2, or greater than 6.
Answer:
I think the answer is B. 54
Answer:
8^14
Step-by-step explanation:
8^10*8^4=8^(10+4)=8^14
Answer:
11 music lessons.
Step-by-step explanation:
We know that membership costs $165 and members pay $25 per music lesson.
So, we can write the following expression:
The 165 represents the one-time membership fee and the 25m represents the cost for m music lessons.
We know that non-members pay no membership fee but their cost per lesson is $40. So:
Represents the cost for non-members for m music lessons.
We want to find how many music lessons would have to be taken for the cost to be the same for both members and non-members. So, we can set the expressions equal to each other:
And solve for m. Let's subtract 25m from both sides:
Now, divide both sides by 15:
So, at the 11th music lesson, members and non-members will pay the same.
Further Notes:
This means that if a person would only like to take 10 or less lessons, the non-membership is best because there is no initial fee.
However, if a person would like to take 12 or more lessons, than the membership is best because the membership has a lower cost per lesson than the non-membership.
And we're done!
Answer:
7a(a+5b)
Step-by-step explanation:
7a^2+35ab
they both contain a7 and an a so we can factor them out
7a(a+5b)