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.
You should use the calculator and just plug in those numbers
Answer:
Ask her why she is crying. If she explains why, listen and comfort her. If she says to "go away" or "i don't want to talk about it," give her space and come back later. She needs to let it out, so have patience :)
Hope this helps!!
Answer:
1) 
2) 
3) 
4) 
5) 
Step-by-step explanation:
To solve each proportion, we apply cross multiplication.
Question 1:
Simplifying both sides by 5
Question 2:
Simplifying both sides by 20
Simplifying by 3
Simplifying by 2
Question 3:
Simplifying both sides by 7
Simplifying both sides by 3
Question 4:
Question 5:
Simplifying by 2, both sides
Simplifying by 8, both sides
Answer:
Cam expect to earn if he sells all the corn produced on 1.5 acres is $8725.
Step-by-step explanation:
Given : 
, 
and 
To find : How much can Cam expect to earn if he sells all the corn produced on 1.5 acres?
Solution :
Substitute a=1.5,
Now, taking function
Substitute C=9750,
Now, taking function
Substitute a=1.5,
Therefore, Cam expect to earn if he sells all the corn produced on 1.5 acres is $8725.
