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valentinak56 [21]
2 years ago
15

Dwayne is throwing a summer kick-off party. He is making 25 bags of candy as party favors for his guests. Dwayne plans to put at

most 10 taffies in each bag. Let t represent the number of taffies that Dwayne might put in each bag. Which inequality models the story?
Mathematics
1 answer:
makvit [3.9K]2 years ago
3 0

Therefore, the inequality that models the story is 25T = X.

<h3><u>Equations</u></h3>

Given that Dwayne is throwing a summer kick-off party, and he is making 25 bags of candy as party favors for his guests, and Dwayne plans to put at most 10 taffies in each bag, if T represent the number of taffies that Dwayne might put in each bag, to determine which inequality models the story, the following calculation must be performed:

  • 25 times T is equal to the result
  • 25T = X
  • 25 x 10 = X
  • 250 = X

Therefore, the inequality that models the story is 25T = X.

Learn more about equations in brainly.com/question/26636867

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Answer: The translation rule that maps point D ( 7 , − 3 ) onto point D ' ( 2 , 5 )

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Step-by-step explanation:

Let us revise the translation

If the point (x , y) translated horizontally to the right by h units  then its image is (x + h , y)

If the point (x , y) translated horizontally to the left by h units  then its image is (x - h , y)

If the point (x , y) translated vertically up by k units  then its image is (x , y + k)

If the point (x , y) translated vertically down by k units  then its image is (x , y - k)

(x , y) → (x ± h , y ± k) the right arrow symbol used to show the

translation from a point to its image

Example:

∵ P (0 , 0) → P' (1 , 2)

∴ The rule is (x , y) → (x + 1 , y + 2)

Let us find the translation rule that maps point D ( 7 , − 3 ) onto

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∵ Point (x , y) = (7 , -3)

∵ Its image after translation (x + h , y + k) = (2 , 5)

∴ x + h = 2

∵ x = 7

∴ 7 + h = 2

- Subtract 7 from both sides

∴ h = -5

∵ y + k = 5

∵ y = -3

∴ -3 + k = 5

- Add 3 to both sides

∴ k = 8

∴ The rule of translation is (x , y) → (x - 5 , y + 8)

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is (x , y) → (x - 5 , y + 8)

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