5a+5b because 6a-a=5a and 8b-3b=5b. 5a+5b.
Answer:
36 pencils
Step-by-step explanation:
Let h and p represent the number of highlighters and the number of pencils, respectively.
Then h + p = 45, and h = 45 - p.
Tom paid a total of $30 for these supplies, with ($2/highligher)(h) + ($0.333/pencil) adding up to that amount.
substituting 45 - p for h in 2h + 0.333p = 30, we get:
2(45 - p) + 0.333p = 30, or
90 - 2p + 0.333p = 30
Combine the constants: 60 = 2p - 0.333p, or 60 = 1.667p
Then p = 60/1.667 = 35.9928, or 36.
Tom bought 36 pencils for $12, and 45-36, or 9, highlighters for $18, for a total purchase of $30. This shows that these calculations are correct.
The volume a cylinder is v=(area of base)h and since the area of the base is πr², you can write the equation a v=πr²h. Since the problem wants us to find what be is in the equation of a cylinder as v=Bh, we know that B=πr². The problem gave us the diameter of the circle so we no the radius is going to be the diameter (24) divided by 2 which equals 12. therefore B=12²π.
I hope this helps.
Answer:
a) Add 4 to both sides, and then divide by 2. The solution is 
.
Step-by-step explanation:
Question:
Which of the following describes the correct process for solving the equation 2x − 4 = 20 and arrives at the correct solution?
a) Add 4 to both sides, and then divide by 2. The solution is x = 12.
b) Divide both sides by −4, and then subtract 2. The solution is x = −7.
c) Subtract 4 from both sides, and then divide by 2. The solution is x = −12.
d) Multiply both sides by −4, and then divide by 2. The solution is x = −40.
Solution:
Given equation:
We need to determine the steps in order to solve for 
.
Solving for .
Step 1: Adding 4 both sides.
Step 2: Dividing both sides by 2.
∴
Thus, we added 4 both sides and then divided both sides by 2 to get solution = 12
