Answer: 95 adult tickets and 40 child tickets were sold.
Step-by-step explanation:
Let x represent the number of adult tickets that were sold.
Let y represent the number of child tickets that were sold.
The cost of an adult ticket is $12 and the cost of a child ticket is $5.
The ball game sold $1,340 in tickets one Saturday. It means that
12x + 5y = 1340- - - - - - - - - - 1
The number of $12 adult tickets was 15 more than twice the number of $5 child tickets. It means that
x = 2y + 15
Substituting x = 2y + 15 into equation 1, it becomes
12(2y + 15) + 5y = 1340
24y + 180 + 5y = 1340
24y + 5y = 1340 - 180
29y = 1160
y = 1160/29
y = 40
x = 2y + 15 = 2 × 40 + 15
x = 95
Answer:


Step-by-step explanation:
, 
Replace all occurrences of
in
with 


Add
and 3.


Subtract 5x from both sides of the <u>equation.</u>


Subtract 5x from 3x.


Rewrite 1 as
.


Check that the middle <u>term</u> is two times the <u>product</u> of the numbers being squared in the first <u>term</u> and third <u>term</u>.
·
· 

Rewrite the <u>polynomial</u>.
·
·


Factor using the <u>perfect square</u>
<u>trinomial</u> rule 
where a = x and b = 1.


<u>Set</u> the
equal to 0.


Add 1 to both sides of the <u>equation</u>.


Replace all occurrences of
in
with 1.



Answer:
1/5
Step-by-step explanation:
34/170 = 1/5
p(hit) = 1/5
Answer:
5 over 5
Step-by-step explanation:
You can see that 20x 5 is needed to get the denominator of 100, so you need to multiply the top by 5 too, to get 85/100. Hope this helps.
Answer:
23
Step-by-step explanation: