75
Reduction of 12
3 x 4 = 12
Increase of 10
5 x 2 = 10
75 - 12 = 63
63 + 10 = 73
Change = 2 inches (75 - 73)
Let's call a child's ticket
and an adult's ticket
. From this, we can say:
,
since 116 tickets are sold in total.
Now, we are going to need to find another equation (the problem asks us to solve a systems of equations). This time, we are not going to base the equation on ticket quantity, but rather ticket price. We know that an adult's ticket is $17,000, and a child's ticket is thus
.
Given these values, we can say:
,
since each adult ticket
costs 17,000 and each child's ticket
costs 12,750, and these costs sum to 1,653,250.
Now, we have two equations:


Let's solve:


- Find
on its own, which will allow us to substitute it into the first equation

- Substitute in
for 

- Apply the Distributive Property


- Subtract 1972000 from both sides of the equation and multiply both sides by -1

We have now found that 75 child's tickets were sold. Thus,
,
41 adult tickets were sold as well.
In sum, 41 adult tickets were sold along with 75 child tickets.
Answer:
A. 4
Step-by-step explanation:
First, we can try the first option. 2/4 is equivalent to 6/12 when you multiply the fraction by 3 to get a common denominator. Since 6/12 is larger than 4/12, and the question has 1 answer, 4 is the only value that satisfices the statement and is the answer.
Yes
Answer:
x = 8.0
Step-by-step explanation:
sin theta = opposite/ hypotenuse
sin 53 = x/10
Multiply by 10 on each side
10 sin 53= x
7.9863551 =x
Rounding to the nearest tenth
8.0 =x