First, "boxes of two sizes" means we can assign variables: Let x = number of large boxes y = number of small boxes "There are 115 boxes in all" means x + y = 115 [eq1] Now, the pounds for each kind of box is: (pounds per box)*(number of boxes) So, pounds for large boxes + pounds for small boxes = 4125 pounds "the truck is carrying a total of 4125 pounds in boxes" (50)*(x) + (25)*(y) = 4125 [eq2] It is important to find two equations so we can solve for two variables. Solve for one of the variables in eq1 then replace (substitute) the expression for that variable in eq2. Let's solve for x: x = 115 - y [from eq1] 50(115-y) + 25y = 4125 [from eq2] 5750 - 50y + 25y = 4125 [distribute] 5750 - 25y = 4125 -25y = -1625 y = 65 [divide both sides by (-25)] There are 65 small boxes. Put that value into either equation (now, which is easier?) to solve for x: x = 115 - y x = 115 - 65 x = 50 There are 50 large boxes.
If the number k is greater than 3, we have the following inequality:
In order to evaluate k/3, let's divide the inequality by 3:
So the expression k/3 is greater than 1, therefore the correct option is D.
A volleyball league organizer collected $2,040 for both divisions of volleyball teams. The Blue division costs $160 per team and the Red division cost $180 per team. How many teams will play in each division.
<h3><u>Answer:</u></h3>
6 teams will play in each division
<h3><u>
Solution:</u></h3>
Given that volleyball league organizer collected $2,040 for both divisions of volleyball teams
The blue division costs $160 per team
The Red division cost $180 per team.
Let the number of blue teams be "b"
Let the number of red teams be "r"
Total cost = number of blue teams x cost of blue division per team + number of red teams x cost of red division per team
Total cost = 160b + 180r
2040 = 160b + 180r
Assuming both divisions have the same number of teams, we substitute b = r = x
2040 = 160x + 180x
2040 = 340x
x = 6
So 6 teams will play in each division
Since the formula for the area of a circle is Pi x r squared, the area would be 81 x Pi (you teacher may want you to use Pi as 3.14 or put it in your calculator).
After 25 days. 300=triple 100+8x=300. is that 20 words?
