Aura built a scale model of a building using a scale in which 4 inches represents 60 feet. The height of the building is 420 fee
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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
Find total number of integers.
Find how many integers is divisible by 2.
Eliminate even numbers.
11, 13, 15,..., 57, 59
This array contains 51 - 26 = 25 numbers.
Eliminate numbers before the first number divisible by 3 and after the last number divisible by 3.
15, 17, 19,..., 55, 57
This array contains 25 - 3 = 22 numbers.
Now we should eliminate numbers divisible by 3: 15, 21, 27...
There are 8 such numbers.
Therefore, there are 25 - 8 = 17 numbers that <span>can be evenly divided by neither 2 nor 3</span>
Find how many integers is divisible by 2.
Eliminate even numbers.
11, 13, 15,..., 57, 59
This array contains 51 - 26 = 25 numbers.
Eliminate numbers before the first number divisible by 3 and after the last number divisible by 3.
15, 17, 19,..., 55, 57
This array contains 25 - 3 = 22 numbers.
Now we should eliminate numbers divisible by 3: 15, 21, 27...
There are 8 such numbers.
Therefore, there are 25 - 8 = 17 numbers that <span>can be evenly divided by neither 2 nor 3</span>