We need to find the solution to:
(85 + 83 + 98 + 77 + x) / 5 >= 84 where x is the score in the last test
This is the same as:
(343 + x) / 5 >= 84
Multiplying both sides by 5 we get
343 + x >= 420
Subtracting 343 from both sides we get
x >= 77
There for the student must get a score of at least 77 on the last tests.
Let
x---------------> <span>the height of the tree
we know that
by using proportion
</span>

<span>
therefore
the answer is</span><span>
the height of the tree is </span>
feet
Answer:
Step-by-step explanation:
6x > x + 20
5x > 20
x > 4
4a.4²x +3=1
Slotuion:
4²x + 3=1 : <em>x</em>= -⅛ (Decimal:<em>x</em>= -0.125)
Steps
4² x +3=1
4²=16
16x + 3=1
Subract 3 from borh sides
16x +3-3=1-3
Simplify
16x=-2
Divides both sides by 16
![\frac{16 \times }{16} = [tex] \frac{ - 2}{16}](https://tex.z-dn.net/?f=%20%5Cfrac%7B16%20%5Ctimes%20%7D%7B16%7D%20%3D%20%3C%2Fp%3E%3Cp%3E%5Btex%5D%20%5Cfrac%7B%20-%202%7D%7B16%7D%20)
[/tex]
Simplitfy

Simplify

<em>x</em> = -⅛
therefore the answer is <em>x</em><em>=</em><em> </em><em>-</em><em>⅛</em>
4b.ex-1 -5 =5
x~=3.30258
explanation:
e^(x-1)-5=5
e^(x-1)=10
x-1=ln 10
x-1~=2.30258
x~=3.30258

Number of ways to select 3 books from 13 books for adoption is 286 .
<u>Step-by-step explanation:</u>
A Permutation is an ordered Combination. When the order does matter it is a Permutation. There are basically two types of permutation:
- Repetition is Allowed: such as the lock above. It could be "333".
- No Repetition: for example the first three people in a running race. You can't be first and second.
Formula is given by:
, where n is the number of things to choose from, and we choose r of them, no repetitions, order matters. Here , n=13 , r=3.
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
∴ Number of ways to select 3 books from 13 books for adoption is 286 .