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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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How many lb of brand X sugar which
Dafna1 [17]

Answer:  <u>4 pounds</u> of brand X sugar

====================================================

Reason:

n = number of pounds of brand X sugar

5n = cost of buying those n pounds, at $5 per pound

Brand Y costs $2 per pound, and you buy 8 lbs of it, so that's another 2*8 = 16 dollars.

5n+16 = total cost of brand X and brand Y combined

n+8 = total amount of sugar bought, in pounds

3(n+8) = total cost because we buy n+8 pounds at $3 per pound

The 5n+16 and 3(n+8) represent the same total cost.

Set them equal to each other. Solve for n.

5n+16 = 3(n+8)

5n+16 = 3n+24

5n-3n = 24-16

2n = 8

n = 8/2

n = 4 pounds of brand X sugar are needed

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

Check:

n = 4

5n = 5*4 = 20 dollars spent on brand X alone

16 dollars spent on brand Y mentioned earlier

20+16 = 36 dollars spent total

n+8 = 4+8 = 12 pounds of both types of sugar brands combined

3*12 = 36 dollars spent on both types of sugar brands

The answer is confirmed.

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

Another way to verify:

5n+16 = 3(n+8)

5*4+16 = 3(4+8)

20+16 = 3(12)

36 = 36

6 0
2 years ago
Math help please, thank you!
CaHeK987 [17]
The answer to the first question of the attached document is option 1. We obtain the answer subtracting the term n from the series with the term n-1.For example:
 -3 - (- 5) = 2
 -1 - (- 3) = 2
  1 - (- 1) = 2
 So you can see that the common difference is the 2.

 The answer to the second question is option 3:
 y = | x + 7 |
 We can confirm it by substituting values in the equation.
 For example:
 if we do y = 0 then x = -7
 if we do x = 0 then y = 7.
 As corresponds in the graph shown.
 Remember also that as a general rule yes to the equationy = | x | whose vertex is in the point (0,0) we add a positive real number "a" of form y = | x + a | then the graph of y = | x | will move "to" units in the negative direction of x.

 The answer to the third question is option 4.
 The quotient of x and "and" is constant.
 k = y / x
 Rewriting:
 y = kx
 You can see that it corresponds to the equation of a line that passes through the origin, this means that and is proportional to x and both vary directly
3 0
3 years ago
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