Answer:
The greatest number of displays that can be built using all the boxes are 
(Using
blue boxes and
yellow boxes for each display).
Step-by-step explanation:
In order to answer the question, the first step is to divide the number of blue boxes and yellow boxes and look for a common ratio ⇒

This means that we have a ratio
for blue boxes and yellow boxes.
We find that each display will have 5 blue boxes and 7 yellow boxes.
To find the greatest number of displays that can be built we can do the following calculation

Or

(We can divide the number of blue boxes by its correspond ratio number or the number of yellow boxes by its correspond ratio number)
In each cases the result is 13 displays.
The answer is 13 identical displays
Answer:
Andrew has 9 cars
Step-by-step explanation:
Let's start by defining what our unknowns are and how to name them:
For the number of cars Andrew has: let's use the letter A
For the number of cars Luke has: let's use the letter L
Not write the first sentence in mathematical terms:
"Luke has 4 more than triples the number of cars that Andrew has."
L = 3 * A + 4
The second phrase results on a very simple equation since it just states the number of cars that Luke has:
L = 31
Now we can combine these two equations by replacing the variable "L" in the first equation with the second equation and then solve for A:
L = 3 * A + 4
31 = 3 * A +4
31 - 4 = 3 * A
27 = 3 * A
A = 27/3
A = 9
Therefore, Andrew has 9 cars.
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What's the issue? You gave the possible answers but that's about it.
Answer:
Step-by-step explanation:
k = xy
Putting values of x and y in the equation
k = (5)(-3.5)
= - 17.5
Finding value of x when y = 10
k = xy
- 17.5 = x10
Bringing like terms on one side
- 17.5 - 10 = x
-27.5 = x