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alexdok [17]
3 years ago
6

A map has a scale of 6 in. = 18 mi. If you measured the distance between two cities to be 26 in. on the map, how many miles woul

d it actually be?
Mathematics
1 answer:
Travka [436]3 years ago
8 0

Answer:

78 mi

Step-by-step explanation:

18/6 = 3

1 in= 3 mi

26×3= 78 mi

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7+6 (mod 5) =<br><br>2+1 (mod 5) =<br><br>20 (mod 11) =<br><br>35 (mod 11) =<br><br>20 (mod 11) =​
ValentinkaMS [17]

Answers:

  • 3
  • 3
  • 9
  • 2
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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)

-------------

2+1 = 3 (mod 5) for similar reasoning as above. 3/5 = 0 remainder 3.

-------------

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).

-------------

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)

--------------

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.

5 0
3 years ago
Find the surface area of the prism.
Otrada [13]
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
8 0
3 years ago
use digits to write a number for the following. : seven tenths . three hundreths, and eight thousandths and then (. )​
kondor19780726 [428]

Answer:

0.0378

Step-by-step explanation:

#;+*($$&#(#'#)#&#)#&#-#)#8#&2'#;$7$5$&

7 0
2 years ago
What is the mean of 72,73,86,59,75,58,50,55
Rashid [163]
<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:

72+73+86+59+75+58+50+55 = \bf 528

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:

528 \div 8 = \bf 66

The mean is 66

<em>If you have any questions, feel free to ask in the comments! :)</em>

7 0
3 years ago
Read 2 more answers
Financial planners recommend that families save about 5% of their take-home pay. Ed and Sherrie save $90 each pay period from th
Ratling [72]

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

1200x = 90

x = \frac{90}{1200}

x = 0.075

Ed and Sheerie save 7.5%.

7 0
3 years ago
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