Answer:
1. 6pi or 18.84cm
2. 20pi or 62.8cm
3. 13pi or 40.82cm
4. 9.5pi or 29.83cm
5. You calculate the circumference of a circle with the expression 2pi(r). r stands for the radius. You can also use pi(d), or pi x diameter.
7. You would use 2pi(r) to find the circumference of a circle when given the value of the circle's radius.
8. You would use pi(d) to find the circumference of a circle when given the value of the circle's diameter.
Answer:
k = $0.50
Step-by-step explanation:
The data that we have is:
Rocko paid: $12.50 for 25 tickets.
Louisa paid: $17.50 for 35 tickets.
Now, the question asks to find the constant of proportionality.
A proportional relation can be written as:
y = k*x
where k is the constant, and in this case, y is the price and x the number of tickets bought.
Then replacing with the values above, we have:
$12.50 = k*25
then:
k = $12.50/25 = $0.50
And the other data:
$17.50 = k*35
K = $17.50/35 = $0.50
So we have the same k in both cases, this means that the constant of proportionality is k = $0.50
2x + 3y = 3
-10x + 2y = -32
Solve using the substitution method.
Solve for x in the first equation.
2x + 3y = 3
Subtract 3y from both sides.
2x = 3 - 3y
Divide both sides by 2.
x = 
- y
Plug x into the second equation.
-10( - y) + 2y = -32
Distribute -10 inside the parentheses.
-15 + 15y + 2y = -32
Combine like terms.
-15 + 17y = -32
Add 15 to both sides.
17y = -17
Divide both sides by 17.
y = -1
Plug y into the first equation.
2x + 3(-1) = 3
Multiply 3 by -1.
2x - 3 = 3
Add 3 to both sides.
2x = 6
Divide both sides by 2.
x = 3
x = 3;
y = -1
L is length
w is width
p is perimeter
l = 3w-2
When a problem says "less than" (not "is less than"), you should put the minus sign BEFORE the number.
p = 60
The formula of perimeter is 2l + 2w
60 = 2l + 2w
Replace the l with the formula of l.
60 = 2(3w-2)+2w
Solve the problem:
Distribute
60 = 6w-4+2w
Combine lile terms
60 = 8w-4
64=8w
Divide
w=8
Answer: p = $100, R = $25,000
<u>Step-by-step explanation:</u>
The maximum is the y-value of the Vertex.
<u>Step 1: </u>Use the Axis-Of-Symmetry (AOS) formula to find x: 
R(p) = -2.5p² + 500p
a=-2.5 b=500
<u>Step 2</u>: Find the maximum by plugging the p-value (above) into the given equation.
R(100) = -2.5(100)² + 500(100)
= -25,000 + 50,000
= 25,000
