Answer:
17. See below
18. 750
Step-by-step explanation:
17. Since the lollipops are being sold at the same price, 50 cents, for each one sold, they make a constant amount of money. For each increase in lollipops sold, there is a constant increase in money made, and thus the situation is a linear function.
18. To solve this equation, let's say y is the money made at the convention in dollars and x is the number of lollipops sold. If the principal gave them 125 dollars before they sold any lollipops (0 lollipops sold), then 125 is the y-intercept of the function, and in the equation y=mx+b, b=125. If each lollipop costs 50 cents (half of a dollar), then for each lollipop, x, sold, .5 dollars are made and are added to the profit, y. Thus, .5 dollars is the slope. The equation then becomes:
![y=0.5x+125](https://tex.z-dn.net/?f=y%3D0.5x%2B125)
Now, if they need 500 dollars, y is thus equal to 500 dollars. Solving the equation:
![500=0.5x+125](https://tex.z-dn.net/?f=500%3D0.5x%2B125)
![500-125=0.5x](https://tex.z-dn.net/?f=500-125%3D0.5x)
![375=0.5x](https://tex.z-dn.net/?f=375%3D0.5x)
![\frac{375}{0.5} =x](https://tex.z-dn.net/?f=%5Cfrac%7B375%7D%7B0.5%7D%20%3Dx)
![375*2=x](https://tex.z-dn.net/?f=375%2A2%3Dx)
![750=x](https://tex.z-dn.net/?f=750%3Dx)
Thus, 750 lollipops must be sold.
- The number of vertical pieces will be 28. Then the correct option is A.
- The number of horizontal pieces will be 600. Then the correct option is B.
<h3>What is decision-making?</h3>
The process of making choice is by identifying the correct decision, gathering information, and assessing alternative solutions.
Horizontal pieces can be produced at a rate of 200 per labor hour.
A carpenter uses 500 horizontal pieces and 22 vertical pieces while making racks for an hour.
You have 900 horizontal pieces and 50 vertical pieces in stock right now.
For the next hour, you assign Juan to rack making, Debbie to trim making, and both mike and stan to horizontal piece production.
1. Then at the end of the next hour, the number of vertical pieces available in stock will be
→ 50 - 22
→ 28
Thus, the number of verticle pieces will be 28.
2. Then at the end of the next hour, then the number of horizontal pieces available in stock will be
→ 900 + 200 - 500
→ 600
More about the decision-making link is given below.
brainly.com/question/3369578
#SPJ1
Answer:
3,724
Step-by-step explanation: Length x width x height
19 x 14 x 14
19 x 14 = 266
266 x 14 = 3,742
hope this helped :)
20:8, 130:52, 40:16, 190:76
Answer:
15 people
Step-by-step explanation: