At the movie theater, child admission is $6.50 and adult admission is $9.90 On Sunday, 149 tickets were sold for a total sales of $1254.10 How many child tickets were sold that day?

Answer 1

Let's assume the number of child tickets sold is x.
Therefore, the number of adult tickets sold is 149 - x.

The total sales from child tickets is 6.50x.
The total sales from adult tickets is 9.90(149 - x).

Since the total sales is $1254.10, we can write the equation:
6.50x + 9.90(149 - x) = 1254.10

Expanding the equation:
6.50x + 1469.10 - 9.90x = 1254.10

Combining like terms:
-3.40x + 1469.10 = 1254.10

Subtracting 1469.10 from both sides:
-3.40x = -215

Dividing both sides by -3.40:
x = 63.24

Since we can't have a fraction of a ticket, there were 63 child tickets sold.

Answer 2

Graph the compound inequality on the number line. x<=3 or x>8

Answer 3

To graph the compound inequality x <= 3 or x > 8 on a number line, we need to plot two separate regions.

First, let's focus on x <= 3. This includes all values of x that are less than or equal to 3. We can represent this region on the number line by shading from negative infinity to 3 and including the point 3 with a closed circle.

Next, let's focus on x > 8. This includes all values of x that are greater than 8. We can represent this region on the number line by shading to the right of 8 and excluding the point 8 with an open circle.

Combining both regions, the graph of the compound inequality x <= 3 or x > 8 on the number line would look like this:

```
●----------->
-∞ -∞ -∞ -∞ -∞ -∞ -∞ 3 8
```

The shaded region would extend from negative infinity up to and including 3, and then continue from 8 to positive infinity.

Please note that the circles at 3 and 8 are included/excluded depending on whether the inequality is ≤ (closed circle) or < (open circle).