$14.20 is the cost of each book
Since we are already given the amount of jumps from the first trial, and how much it should be increased by on each succeeding trial, we can already solve for the amount of jumps from the first through tenth trials. Starting from 5 and adding 3 each time, we get: 5 8 (11) 14 17 20 23 26 29 32, with 11 being the third trial.
Having been provided 2 different sigma notations, which I assume are choices to the question, we can substitute the initial value to see if it does match the result of the 3rd trial which we obtained by manual adding.
Let us try it below:
Sigma notation 1:
10
<span> Σ (2i + 3)
</span>i = 3
@ i = 3
2(3) + 3
12
The first sigma notation does not have the same result, so we move on to the next.
10
<span> Σ (3i + 2)
</span><span>i = 3
</span>
When i = 3; <span>3(3) + 2 = 11. (OK)
</span>
Since the 3rd trial is a match, we test it with the other values for the 4th through 10th trials.
When i = 4; <span>3(4) + 2 = 14. (OK)
</span>When i = 5; <span>3(5) + 2 = 17. (OK)
</span>When i = 6; <span>3(6) + 2 = 20. (OK)
</span>When i = 7; 3(7) + 2 = 23. (OK)
When i = 8; <span>3(8) + 2 = 26. (OK)
</span>When i = 9; <span>3(9) + 2 = 29. (OK)
</span>When i = 10; <span>3(10) + 2 = 32. (OK)
Adding the results from her 3rd through 10th trials: </span><span>11 + 14 + 17 + 20 + 23 + 26 + 29 + 32 = 172.
</span>
Therefore, the total jumps she had made from her third to tenth trips is 172.
Answer:
1/18 or 55.5%
Step-by-step explanation:
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Mr. Patel used 4.5 bags of seed
<em><u>Solution:</u></em>
Given that,
Over the summer, Mr. Patel refilled a bird feeder 24 times using 6 cups of seed each time
A bag of seeds holds 32 cups
1 bag of seed = 32 cups
Given that Patel refilled 24 times using 6 cups of seed each time
<em><u>Then, the number of cups used for the 24 times is given as:</u></em>
<em><u>Now we have to find the bags of seed needed for 144 cups</u></em>
Let "x" be the number of bags of seed for 144 cups
From given,
1 bag of seed = 32 cups
"x" bags of seed = 144 cups
This forms a proportion and we can solve it by cross multiplying
Thus 4.5 bags of seed is used by Mr.patel
6×100
6×90
6×8
hope this helps
