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Oliga [24]
3 years ago
9

It takes Dimitri 9 minutes to make a simple bracelet and 20 minutes to make a deluxe bracelet. He has been making bracelets for

longer than 120 minutes. If x represents the number of simple bracelets that he has made and yrepresents the number of deluxe bracelets he has made, the inequality 9x + 20y > 120 represents the scenario. Which is a possible combination of bracelets that Dimitri may have made?
Mathematics
2 answers:
miskamm [114]3 years ago
5 0

Answer:

(1, 14); (2, 9); (3, 7); ...

Step-by-step explanation:

Starting from the relationship between the variables x and y defined, you can obtain:

x> \frac{(120 - 20y) }{9} as long as y is an integer value greater than 0 and less than 6. Therefore, we have infinite combinations that meet the conditions of the statement. Examples of possible combinations for the couple (x, y) are:

(1, 14); (2, 9); (3, 7); ...

maks197457 [2]3 years ago
3 0

3 simple bracelets and 4 deluxe bracelets

0 simple bracelets and 6 deluxe bracelets

12 simple bracelets and 0 deluxe bracelets

7 simple bracelets and 3 deluxe bracelets

Given the inequality 9x + 20y > 120, it is easier to just substituting the answers from the choices and see which ones satisfy the inequality. From the choices, the correct answer is 7 simple bracelets and 3 deluxe bracelets, which yield an answer of 123, which is greater than 120.

Hope this helps!

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Prove that the square of an odd number is always 1 more than a multiple of 4
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Answer:

By these examples you are able to see that the square of an odd number is always 1 more than a multiple of 4.

Step-by-step explanation:

For examples,

Let's consider squares of 3, 11, 25, 37 and 131.

{3}^{2}  = 9

8 is a multiple of 4, and 9 is more than 8.

{11}^{2}  = 121

120 is a multiple of 4 and 121 is one more than it.

{25}^{2}  = 625

624 is a multiple of 4 and 625 is one more than it.

{37}^{2}  = 1369

1368 is a multiple of 4 and 1369 is one more than 1368.

{131}^{2}  = 17161

17160 is a multiple of 4.

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wolverine [178]

Answer:

I hope I'll help you with this but I am not sure of it all...

The area of the shaded region is 46,77

Step-by-step explanation:

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Step-by-step explanation:

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