Multiply 2 by 1/2 to get 1.
Multiply 1 by 2/3 to get 2/3.
Multiply 2/3 by 3/4 to get 6/12 = 1/2.
Multiply 1/2 by 4/5 to get 4/10 = 2/5.
Multiply 2/5 by 5/6 to get 10/30 = 1/3.
Multiply 1/3 by 6/7 to get 6/21 = 2/7. (I suspect there's a typo in the question.)
And so on, so that the <em>n</em>th term in the sequence is multiplied by <em>n</em>/(<em>n</em> + 1) to get the (<em>n</em> + 1)th term.
Recursively, the sequence is given by
We can solve this exactly by iterating:
and so on down to
or
and with lots of cancellation, we end up with
The answer is C.
In t=2.33p, the constant is 2.33 and it stands for "<span>The tomatoes cost $2.33 per pound"</span>
Answer:
The answer is (X +2)^2 = 4(Y -5).
Answer:
22
Step-by-step explanation:
Solve the inequality (20 + 0.5x) + 0.15(20 + 0.5x) ≤ $62.10 for x:
20 + .5x + 3 + 0.75x ≤ 62.10
Combining the x terms, we get:
20 + 3 + 1.25x ≤ 62.10.
Combining the constants on the left:
23 + 1.75x ≤ 62.10
Combining the constants:
1.75x = 39.10
Solving for x: 39.10/1.75 = 22.34
Thus, the max number of whole pages she can have in her book is 22.
Answer:
The percent for 3 out of 12 is 25%
If the total number of games was 100, the win amount would need to be 25.
Step-by-step explanation:
3 out of 12 is a fraction - 3/12
3/12 = 0.25 which means 25% because 0.25 is 25% of 1.
Using the same percentage for 100 total games, you just multiply 100 by 0.25, the decimal version of the percentage.
