A (-5,0) B (0,-2) C (-3,-4)
Answer:
She asked 10 friends to buy tickets.
Step-by-step explanation:
If each ticket sells for 3 dollars, you can get the amount of people that bought the tickets by taking the amount earned divided by the price of the ticket.
$18 / $3 = 6
If 6 friends bought tickets and 4 friends did not, add the two together and you will get how much people Monica asked.
6 + 4 = 10
She asked 10 friends to buy tickets.
Answer:
No
Step-by-step explanation:
Given
Quadrilateral A: 2,3,5 and 6
Quadrilateral B: 4,5, 8 and 10
Required
Determine if one is a scale of another
To do that, we have to divide the corresponding lengths to give ratio.
Considering Side of A = 2 and Side of B = 4
Considering Side of A = 3 and Side of B = 5
There's no need to check further, since the two ratios calculated so far do not have the same value;
<em>Hence, one quadrilateral is not a scale of the other</em>
Answer:
Total number of matches = 306 matches
Step-by-step explanation:
Given:
Total number of team = 18
Per team number of play = 2
Find:
Total number of matches
Computation:
Total number of matches = [(Total number of team x 2)(Total number of team -1)]/2
Total number of matches = [(18 x 2)(18-1)]/2
Total number of matches = 612 / 2
Total number of matches = 306 matches
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.
