Question

1. liam sells tickets for the fall musical. the price of a saturday night ticket is different from the price of a sunday night ticket.

a. liam sells 20 saturday night tickets for a total of $305. what is the price of each saturday night ticket?
b. the price of each sunday night ticket is $14.75. how many sunday night tickets does liam sell for a total of $309.75?

1. choose all the true statements about the rectangles sides.

a. side m is parallel to side s.
b. side x is parallel to side h.
c. side s is parallel to side x.
d. side s is perpendicular to side h.
e. side h is perpendicular to side x.

Explanation:

7a.

Step1: Divide total by number of tickets

To find the price per - ticket, divide the total money by the number of tickets. Let $p$ be the price of each Saturday - night ticket. We use the formula $p=\frac{\text{Total money}}{\text{Number of tickets}}$.
$p = \frac{305}{20}$

Step2: Calculate the result

$p=15.25$

Step1: Divide total money by price per ticket

Let $n$ be the number of Sunday - night tickets. We use the formula $n=\frac{\text{Total money}}{\text{Price per ticket}}$. Given that the total money is $309.75$ and the price per ticket is $14.75$.
$n=\frac{309.75}{14.75}$

Step2: Calculate the result

$n = 21$

In a rectangle, opposite sides are parallel and adjacent sides are perpendicular. Side $m$ is opposite to side $s$, so $m$ is parallel to $s$. Side $x$ is opposite to side $h$, so $x$ is parallel to $h$. Also, side $s$ is adjacent to side $h$, so $s$ is perpendicular to $h$, and side $h$ is adjacent to side $x$, so $h$ is perpendicular to $x$. Side $s$ is not parallel to side $x$.

Answer:

$15.25$

7b.