Answer: C
Step-by-step explanation:
Answer:
You would divide
Step-by-step explanation:
First distribute the 2/3.
(2/3)n + (2/3)*6 = 10
(2/3)n + 4 = 10
Subtract 4 from both sides
(2/3)n = 6
Multiply both sides by (3/2) to clear the fraction
n = 9
Answer:
<em>B. 86 degrees</em>
Step-by-step explanation:
Given the following angles
m∠NOP = 24
m∠NOQ = 110
Required
m∠POQ
The following addition postulate is true for the angles
m∠NOQ = m∠NOP + m∠POQ
m∠POQ = m∠NOQ -m∠NOP
Substitute the angles given into the formula:
m∠POQ = 110 - 24
m∠POQ = 86°
<em>Hence the measure of angle POQ is 86 degrees</em>
Question Continuation:
if (a) the books can be arranged in any order?
(b) the mathematics books must be together and the novels must be together?
Answer:
(a) 3628800 ways
(b) 17280 ways
Step-by-step explanation:
Given



Solving (a): In any order
This implies that there is no restriction and the novels, mathematics and biology book are just seen as books.
Total number of books is:



The number of arrangement is:


(b):
If the mathematics books are together, there are 4! different arrangements
If the novels are together, there are 5! different arrangements
Now, there are 3 bundles.
- The mathematics books as 1
- The novels as 1
- The biology book
This can be arranged in 3! ways.
Total number of arrangement is:


