Since the sixth term is 1215 and the 5th term is 405, we know each term is 3 times more than the last.
Let 'n' represent the first term, then the sum of the first 9 terms can be written as:
n+3n+9n+27n+81n+243n+729n+2187n+6561n
which sinplifies to 9841n
since each term is 3 times the last, the first term must be 405 divided by 3, 4 times in total, which is 5
Now subsitute 'n' for 5, and we get 9841(5)
which is 49205 which is the answer.
Hope this helps
Perimeter = 2w + 2l
2(8x+2) + 2(6x + 6)
Use distributive property
16x + 4 + 12x + 12
Combine like terms
28x + 16
Solution: 28x + 16
Answer:
feet
Step-by-step explanation:
We will use the Pythagorean Theorem to solve this. Which states that:
One Length^2 + Another Length^2 = Hypotenuse^2
We can take one length as 5 ft and another length as 9 ft and we call the hypotenuse "h", so we have:
Now, let us solve for "h":
The pond's hypotenuse is about 10.3 feet
we know that
4 cups of lemonade = 1 quart
1 gallon of lemonade = 4 quarts
1 gallon of lemonade = 16 cups
Step 1
<u> find the amount of lemonade that's left expressed in cups</u>
5 glasses * 2 cups = 10 cups
16 cups - 10 cups = 6 cups.
There are 6 cups of lemonade left.
Step 2
<u> find the amount of lemonade that's left expressed in quarts: </u>
4 cups = 1 quart.
(6 cups divided by 4 cups will equal the quarts.)
6/4=1.5
6 cups = 1.5 quarts.
There are 1.5 quarts of lemonade left.
Step 3
<u> find the amount of lemonade that's left expressed in gallons </u>
4 quarts = 1 gallon.
(1.5 quarts divided by 4 quarts will equal the gallon)
1.5/4=0.375
1.5 quarts = 0.375 gallon.
There is 0.375 gallon left of lemonade.
