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Damm [24]
3 years ago
11

Explain you can use the whole number expression 248 divided by 4 to check that your answer to exercise 2 is reasonable

Mathematics
1 answer:
Alex17521 [72]3 years ago
6 0
248 ÷ 4 =  62 that is the answer

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Directions: Using the digits 1 to 9, at most one time each, fill in the boxes to find the largest or smallest possible values fo
12345 [234]

9514 1404 393

Answer:

  smallest: 8x -3 = 4; 1y +9 = 2. total = -49/8

  largest: 1x -9 = 8; 2y +3 = 7. total = 19

Step-by-step explanation:

If we use variables to represent the box contents, we can write ...

  • ax -b = c
  • dy +e = f

Then the values of x and y are ...

  x = (c +b)/a

  y = (f -e)/d

For positive integer values of the variables, x will always be positive, and y may or may not be negative.

<h3>Smallest sum</h3>

For the sum to be the smallest, we must have x be as small as possible and the ratio (f-e)/d be as negative as possible.

x will be small for large 'a' and for (c+b) small. For y to be as negative as possible, we want 'd' and 'f' small and 'e' large. Best results are obtained for

  • 8x -3 = 4   ⇒   x = 7/8
  • 1y +9 = 2   ⇒   y = -7

For these coefficients, the sum is -6 1/8 = -49/8.

(note that the values of 'b' and 'c' can be swapped with no net effect)

<h3>Largest sum</h3>

For the sum to be the largest, we must have x as large as possible: (b+c) large and 'a' small. At the same time we must have y be positive and as large as possible: (f-e) positive and large, 'd' small. Best results are obtained for

  • 1x -9 = 8  ⇒   x = 17
  • 2y +3 = 7   ⇒   y = 2

For these coefficients, the sum is 19. Again, 'b' and 'c' can be swapped with no effect.

_____

<em>Additional comment</em>

These extreme values are verified by examination of the 60,480 possible permutations of the coefficients.

8 0
3 years ago
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For the story, select an equation that describes the relationship between the two quantities.
NemiM [27]

Answer:

hope this helps

Step-by-step explanation:

1 i believe because its the only one that says "more than". The other two say less than.

6 0
3 years ago
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Factorise x2-10x-24 plz help ​
Papessa [141]

Answer:

(х-4)(х-6)

Step-by-step explanation:

х¹= 4

х²=6

easy

7 0
3 years ago
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Write the sum using summation notation assuming the suggested pattern continues<br> 9-18+36-72
IgorC [24]
I think it is 45 sorry if its wrong
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Luis wants to buy a skateboard that usually sells for $79.57. All merchandise is discounted by 12%. What is the total cost of th
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79.57 times 12% = 70.02
70.02 times 7.75% = 5.43
70.02 plus 5.43 = 75.43
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3 years ago
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