Answer:
24 books
Step-by-step explanation:
Initially the top shelf has no books placed on
Then books added to this:
And now all 4 shelves have same amount of books. So total number is:
There are 24 books in the bookcase
A straight line adds up to 180
So the line opposite of 137 should add up to 180
This gives us the equation 137+x=180 then x=43
The triangle also adds up to 180 degrees
So 102+43+x=180
The equation can be simplified to 145+x=180 therefore x=35
So x+?=180 because it is a straight line.
We can substitute x in making the equation 35+?=180
Now we want to solve for the ? so we'll subtract 35 from each side
This leaves us with the equation ?=145
So we now know that the ?=145
These are my notes that you can use
Remember
Y = mx+b
Mx is slope
B is y intercept
Y = 2/3x - 4
Answer:
![\frac{3b\sqrt[3]{c^{2}} }{a^{2} }](https://tex.z-dn.net/?f=%5Cfrac%7B3b%5Csqrt%5B3%5D%7Bc%5E%7B2%7D%7D%20%7D%7Ba%5E%7B2%7D%20%7D)
Step-by-step explanation:
∛(27a⁻⁶b³c²)
To simplify, first apply the cube root the each of the terms. Keep in mind this rule: ![\sqrt[n]{a^{m}} = (\sqrt[n]{a})^{m} = a^{m/n}](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Ba%5E%7Bm%7D%7D%20%20%3D%20%28%5Csqrt%5Bn%5D%7Ba%7D%29%5E%7Bm%7D%20%3D%20a%5E%7Bm%2Fn%7D)
∛27 = 3 (because 3*3*3 = 27)
∛a⁻⁶ =
=
= 
∛b³ =
=
= b
∛c² = 
∛(27a⁻⁶b³c²)
= ![\frac{3b\sqrt[3]{c^{2}} }{a^{2} }](https://tex.z-dn.net/?f=%5Cfrac%7B3b%5Csqrt%5B3%5D%7Bc%5E%7B2%7D%7D%20%7D%7Ba%5E%7B2%7D%20%7D)
Simplified form generally follows these rules:
No negative exponents
No fraction exponents
Keep in fractional form
Reduce numerical values