Answer:
-1/3 or 1/2.
Step-by-step explanation:
Second term = ar, the third = ar^2 and the fourth = ar^3.
So we have the equation:
ar + ar^2 = 6ar^3
r + r^2 = 6r^3
6r^3 - r^2 - r = 0
r(6r^2 - r - 1) = 0
(3r + 1 )(2r -1) = 0
r = -1/3, 1/2.
ACD and ACE are supplementary angles that need to equal 180 degrees
ACE = 180 -100 = 80 degrees.
Answer:

Step-by-step explanation:
Given
-- number of toss
--- outcomes of head
<em>See comment</em>
Required
Empirical probability of head
This is calculated as:



Answer:
<em>Henry will buy 18 gift bags and 18 bows in 3 packs of gift bags and 2 packs of bows.</em>
Step-by-step explanation:
<u>Least Common Multiple (LCM)</u>
Is the smallest positive number that is a multiple of two or more numbers. To find the least common multiple of two numbers is to first list the prime factors of each number. Then multiply each factor the greatest number of times it occurs in either number.
Since Henry wants to buy the same number of gift bags and bows and they are sold in packs with different quantities, we must find the LCM between those numbers.
Gift bags are sold in packs of 6. Bows are sold in packs of 9.
List the prime factors of 6: 2,3
List the prime factors of 9: 3,3
Multiply: 2*3*3=18
The LCM is 18. This means Henry will buy 18 gift bags and 18 bows in 3 packs of gift bags and 2 packs of bows.
Is just like fact family your answer will be 200×9. Hope this helps. Because if you multiply 200×9 you will get the same answer as you will get if you multiply 9×200. Hope this helps. Good Night, Sleep Tight, Sweet Dreams, Smile Everyday, Have A Great Day