Answer: B. 254.34 cm^2
Step-by-step explanation:
The area of a circle is pi times the radius squared.
Using the diameter we have to find the radius.
The diameter is two times the radius meaning that the radius is half the diameter.
18/ 2 = 9
The radius will be 9 cm
Now using the formula v= pi * r^2 , input the value for pie and the radius and solve for v the volume
v = 3.14 * 9^2
v= 3.14 * 81
v = 254.34 cm^2
Answer:
210 dollars in 18 hours
Step-by-step explanation:
175 / 15 = 11.6666666667
11.6666666667 times 18 equals 210 dollars
3 tens is 3 * 10 = 30
9 ones is 9 * 1 = 9
30 + 9 = 39
Answer: 39
Answer:
6, 12, 18, 24, 30, 36, etc.
Answer:
(a) B
(b) $2
Step-by-step explanation:
(a) Let's say the cost of a ticket is t and the cost of popcorn is p. Then we can write the two equations from the table:
12t + 8p = 184
9t + 6p = 138
We need to solve this, so let's use elimination. Multiply the first equation by 3 and the second equation by 4:
3 * (12t + 8p = 184)
4 * (9t + 6p = 138)
We get:
36t + 24p = 552
36t + 24p = 552
Subtract the second from the first:
36t + 24p = 552
- 36t + 24p = 552
________________
0 = 0
Since we get down to 0 = 0, which is always true, we know that we cannot determine the cost of each ticket because there is more than one solution (infinitely many, actually). The answer is B.
(b) Our equation from this, if we still use t and p, is:
5t + 4p = 82
Now, just choose any of the two equations from above. Let's just pick 9t + 6p = 138. Now, we have the system:
5t + 4p = 82
9t + 6p = 138
To solve, let's use elimination again. Multiply the first equation by 6 and the second one by 4:
6 * (5t + 4p = 82)
4 * (9t + 6p = 138)
We get:
30t + 24p = 492
36t + 24p = 552
Subtract the second from the first:
36t + 24p = 552
- 30t + 24p = 492
________________
6t + 0p = 60
So, t = 60/6 = $10. Plug this back into any of the equations to solve for p:
5t + 4p = 82
5 * 10 + 4p = 82
50 + 4p = 82
4p = 32
p = 32/4 = $8
So the ticket costs 10 - 8 = $2 more dollars than the popcorn.
