Answer:
65 non-fiction books need to be shelved
Step-by-step explanation:
This question can be solved using a rule of three.
For each 5 non-fiction books, there are 9 fiction books. How many non-fiction books are there when there are 117 fiction books?
5 non-fiction - 9 fiction
x non-fiction - 117 fiction
65 non-fiction books need to be shelved
If an integer is both a square and a cube, it can be of the form:
<span>(<span>a3</span><span>)^2</span></span>
Now,
since a cube can be of the form 7k or 7k+-1(thanks to FoolForMath),
we write
<span><span>a^3</span>=7k</span>
and get the no to be
49k^2
, which is in the form of 7 times something
<span>49<span>k^2</span>=7×(7<span>k^2</span>)</span>
Now put
<span><span>a^3</span>=7k+−1</span>
Square it
and you'll get a number in the form of (7times something +1)
3x = -6y + 6 becomes x = -2y + 2 and then you substitute in 5( -2y + 2) + 4y = -14
-10y + 10 + 4y = -14
-6y = -24
6y = 24
y = 4
And then you put y in x = -2(4) + 2 to find x
X = -8 + 2 = -6
x = -6
Then you try in both
5(-6) + 4(4) = - 14 -> -30 + 16 is -14 ✔️
3(-6) + 6(4) = 6 -> -18 + 24 is 6 ✔️
There are 22 fourths in 5 1/2
In 10 days they will have the same amount of cards
