Answers:
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Explanation:
7+6 = 13. Divide this over 5 to get 13/5 = 2 remainder 3. The quotient 2 is something we don't care about. <u>We only worry about the remainder</u>. Therefore 7+6 = 3 (mod 5)
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2+1 = 3 (mod 5) for similar reasoning as above. 3/5 = 0 remainder 3.
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20 = 9 (mod 11) since 20/11 = 1 remainder 9. Imagine you had 20 cookies and 11 friends. Each friend would get 1 whole cookie (quotient) and there could be 9 left over (remainder).
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35/11 = 3 remainder 2
Or you could use repeated subtraction like so to find the remainder
35-11 = 24
24-11 = 13
13-11 = 2
The last result (2) is smaller than 11, so we stop here and this is the remainder.
Therefore, 35 = 2 (mod 11)
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Here's another way to think of it. Consider you have $35 in your pocket. Let's say a store is selling trinkets for $11 each. We can pose these key questions:
- What is the most number of trinkets you can buy?
- If you buy that max amount, how much will you have left over?
The answer to the first question is 3 trinkets because 3*11 = 33 dollars is under the budget of $35. The amount left over is 35-33 = 2 dollars which is the remainder. It's not larger than 11, so we cannot buy any more trinkets at this point.
The dimensions of the prism are 3 m by 4 m by 5 m.
Area = 2(3 * 4 + 3 * 5 + 4 * 5) = 2(12 + 15 + 20) = 2(47) = 94 m^2
Answer:
0.0378
Step-by-step explanation:
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<h3><u>MEAN</u></h3>
Mean is the average. To find the mean of a data set, you have to add all the numbers and divide the sum by the amount of numbers you added.
<em>In this equation, you have 8 numbers. That means you will be dividing by 8. </em>
The first thing you need to do is add all the numbers. Add:

Now that you have added all the numbers and got the sum, divide by 8. Remember that you will be dividing by 8 since you added 8 numbers.
Divide:

The mean is 66
<em>If you have any questions, feel free to ask in the comments! :)</em>
Answer:
Ed and Sheerie save 7.5%.
Step-by-step explanation:
This question can be solved using a rule of three.
Ed and Sherrie save $90 each pay period from their combined paychecks, which total $1200. What percent do Ed and Sherrie save?
How much of $1200 is $90? $1200 is 100% = 1, $90 = x. So
$1200 - 1
$90 - x



Ed and Sheerie save 7.5%.