Answer:
17
Step-by-step explanation:
34/2=17
Answer:10.67
Explanation:The given series is a geometric series:
8 , 2 , 0.5 , ...... etc
The general formula of the geometric sequence is:
a1 , a1*r , a1*r² , ......
Comparing the general form with the given, we would find that:
a1 = 8
a1 * r = 2
Therefore:
8*r = 2
r = 2/8 = 0.25
We can double check using another term as follows:
a1 = 8
a1*r² = 0.5
8r² = 0.5
r² = 0.5/8 = 0.0625
r = √0.0625 = 0.25
Now, we will get the sum of the sequence as follows:
S =

=

= 32/3 = 10.67
Hope this helps :)
Answer: x = 20
Step-by-step explanation:
Hey there! If you have any questions feel free to let me know in the comments below.
Step 1: <u>Subtract 36 from both sides.</u>
3x = 96 - 36
Step 2: <u>Simplify 96 - 36 to 60.</u>
3x = 60
Step 3: <u>Divide both sides by 3.</u>
x = 60/3
Step 4: <u>Simplify 60/3 to 20.</u>
x = 20
Let's break this down:
Total Pictures = 77
Drew's Pictures = X (An unknown amount)
Danielle's Pictures = 17 + 2X (2 times the amount of Drew plus 17)
So, let's put the pieces together, the problem should look like this:
Total Pictures = Drew's Pictures + Danielle's Pictures
So let's put in what we know:
77 = X + (17 + 2X)
1st step is to get X to one side:
77 = X + 17 + 2X
-17 - 17
=> 60 = X + 2X
=> 60 = 3X
Now that X is on one side, the 2nd step is to get X to be alone:
60/3 = 3X/3 (We have to divide to each side because the answer is equal)
20 = X
So, now that we know what X equals, let's go back to what we broke down:
Drew's Pictures = X (An unknown amount)
Danielle's Pictures = 17 + 2X (2 times the amount of Drew plus 17)
*Remember that X = 20*
So the amount of Drew's Pictures (since the amount is equal to X) is 20.
Danielle had 17 + 2X pictures which means:
17 + 2(20)
17 + 40
57
So Danielle took 57 pictures