The drama club is selling tickets to their play to raise money for the show's expenses.
1 answer:
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Answer:
Jillian sold 15 ten-oz bags and 9 sixteen-oz bags.
Step-by-step explanation:
Let x represent number of 10-oz bags and y represent number of 16-oz bags.
We have been given that Jillian sold 24 boxes of cookies in total. We can represent this information in an equation as:
We are also told that 10 oz. box costs $3.50, while the 16 oz. box costs $5.00, so the cost of x 10-oz bags would be and cost of y 16-oz bags would be
.
At the end of one week, she collected $97.50. We can represent this information in an equation as:
Now, we will use substitution method to solve our system of equations. From equation (1), we will get:
Substitute this value in equation (2):
Therefore, the number of 10-oz boxes sold be Jillian is 15.
Now, we will substitute in equation (1) to solve for y.
Therefore, the number of 16-oz boxes sold be Jillian is 9.
Given:
Endpoints of segment AB are A(- 18, 5) and B(- 4, 5).
Point Z is located exactly 1/8 of the distance from A to B.
To find:
The value of the x-coordinate of point Z.
Solution:
Point Z is located exactly 1/8 of the distance from A to B.
AZ:AB=1:8
AZ:ZB = AZ:(AB-AZ)= 1:(8-1) = 1:7
It means point Z divided segment AB in 1:7.
Using section formula, the x coordinate of point Z is
Therefore, the required x-coordinate of point Z is -16.25.