Volume of sphere = 4/3 πr³
Volume of sphere = 4/3 π (5)³ = 500/3 π ft³
Answer:500/3 π ft³ (Answer B)
Follow the Order of Operations:
(PEMDAS)
<u>Parenthesis</u> (1)
<u>Exponents</u> (2)
<u>Multiplications</u> (3)
<u>Division</u> (3)
<u>Addition</u> (4)
<u>Subtraction</u> (4)
Note: Multiplication and Division are both on the same level, depending if it first came on the left or not. Same goes to Addition and Subtraction.
Answer: 3.50329. <em>3.5, if round to the nearest tenth.</em>
let's make p stand for popcorn and d for drinks. Using those variables, we can create our equations:
2p + 3d = 18.25
4p + 2d = 27.50
From this, we can use substitution or elimination to solve:
For substitution, in the second equations, we could factor out a 2, divide both sides by 2, and then move the left over 2p to the other side to isolate d to put into the first equation.
For elimination, we can multiply the first equation by -2 so that we can remove the 4p and focus on solving for d.
I'll be using elimination in this case:
-2(2p + 3d = 18.25) --> -4p - 6d = -36.50
-4p - 6d = -36.50
4p + 2d = 27.50
-4d = -9.00
d = 2.25
4p + 2 * 2.25 = 27.50
4p + 4.50 = 27.50
4p = 23.00
p = 5.75
Now let's check our answer:
2 * 5.75 + 3 * 2.25 = 18.25
11.50 + 6.75 = 18.25
18.25 = 18.25
So drinks cost $2.25 and popcorn $5.75
Since the graph is a negative line, fix it so that it’s the positive line, make sure the line has the same rates
