Answer:
PQ=30
Step-by-step explanation:
Knowing that the segment has 3 parts that are 3:1:1 and sum up to 50, you could find how much 1 would equal by finding the total in relation to the ratio (doing 3+1+1) which gets you 5 parts. Then you can divide the total (50) by 5 to figure out how much one part would equal (10). Now, since you know that 1 part is equal to 10 and that PQ is 3 parts, you can find that PQ is equal to 3x10, or 30.
<span>✡ Answer: </span><span>103 ✡
- - Solve to find the mean:
Add all the number up:
110+108+98+60+139
=515
Divide by 5 since there are 5 numbers.
515/5=103
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✡Hope this helps<span>✡</span>
Part A number of combinations of 8 from 10 = 10C8 = 10C2
= 10*9 / 2 = 45
Part B Number combinations = 10C4 = (10*9*8*7)/ (4*3*2) = 210
Total number of ways = 45 * 210 = 9450 (answer)
You have to find the LCD or least common denominator.
In this case the LCD would be (x-6)(x+5).
Problem: x/ x-6 - 1/x+5
Step 1: multiply x-6 to the numerator and denominator of 1/x+5
1(x-6)/ (x+5)(x-6)
Step 2: multiply x+5 to the numerator and denominator of x/x-6
x(x+5)/ (x+5)(x-6)
After all that, this is how the problem should look now
x(x+5)/ (x-6)(x+5) - 1(x-6)/ (x-6)(x+5)
If you simplify this you get
x²+5x-x+6/ (x-6)(x+5)
If you subtract both 5x-x (like terms) you get
x²+4x+6/ (x-6)(x+5)
which is the answer
