Answer:
My answer to the question is 34.0
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
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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
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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.
Answer:
7 months
Step-by-step explanation:
He plans on depositing $200 every month into the savings account that already has $600 in it.
We can represent the amount of money he will have after a certain number of months (x) as:
A = 600 + 200x
He needs to save $2000. Therefore, to find the months he needs to save, we need to find x when A is $2000:
2000 = 600 + 200x
200x = 2000 - 600
200x = 1400
x = 1400/200 = 7 months
He needs to save for 7 months.
Answer: 
Step-by-step explanation:
R is the event of getting a red jelly bean. 22 out of the 150 jelly beans are red. That means it is a 
chance of getting a red jelly bean.
Simplified that is
The answer is: " 9.6 inches " .
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Explanation:
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24 = 250/100 * x ;
24 = 2.5 x ;
↔ 2.5 x = 24 ;
2.5 x / 2.5 = 24/ 2.5 ;
x = 9.6 ;
The answer is: " 9.6 inches <span>" .
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