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.
Answer: 64x^6/3
Step-by-step explanation:
(8x^3)^2/3
8^2(x^3)^3/3
64(x^3)^3/3
64x^6/3
Hope this helps, now you know the answer and how to do it. HAVE A BLESSED AND WONDERFUL DAY! As well as a great Superbowl Weekend! :-)
- Cutiepatutie ☺❀❤
Since 4>1, this represents exponential growth.
Answer:
(2,4)
Step-by-step explanation:
look at the x axis and y axis and see where they meet
Lucy packs plates faster she packs 5 plates every minute. Mike packs 4 plates every minute because 3/4 of an hour is 45 minutes, then you divide 180 by 45 and the answer is 4 per minute.
Franco would have to pack 90 plates every 20 minutes (1/3 of an hour) for his rate to be between Lucy's and Mike's. Lucy's rate is at 100 plates per 20 minutes because she can pack 5 plates every minute. Mike's it's at 80 plates per 20 minutes because he can pack 4 plates per minute. So that means that For Franco to be in the middle he has to pack 90 Plates every 20 minutes.
Hope this helps!!!
