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Anika [276]
3 years ago
5

Is it possible to find a value of $x$ so that the value of the surface area (in square inches) is equal to the value of the volu

me (in cubic inches)?
If possible, what is the value of $x$ ?
Write an equation to justify your answer.

Mathematics
1 answer:
Annette [7]3 years ago
7 0

The box has volume

11 in × 3 in × <em>x</em> in = 33<em>x</em> in³

and surface area

2 (11 in × 3 in + 11 in × <em>x</em> in + 3 in × <em>x</em> in) = (66 + 28<em>x</em>) in²

The volume and area have the same value if

33<em>x</em> = 66 + 28<em>x</em>

Solve this equation for <em>x</em> :

33<em>x</em> - 28<em>x</em> = 66

5<em>x</em> = 66

<em>x</em> = 66/5 = 13.2

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tickets for a football match are sold at $30 for adults and $15 for children a company bought 28 tickets if x of these tickets w
anzhelika [568]
First, we must let:
   x = number of tickets intended for adults
   y = number of tickets intended for children.

a. Write in terms of x the number of tickets for children
     Solution:
           x + y = 28   ⇔    y = 28 - x   (equation 1)
       To answer in terms of x:
           no. of tickets for tickets for children = 28 - x

b. the amount spent on tickets for adults
    Solution:  $30 is the cost of ticket per adult and there are x number of tickets intended for adults.
           Therefore, 
            amount spent on ticket for adults = 30x

c. the amount spent on the tickets.
     Solution:
       $ 15  = cost of ticket per child
       $ 30 = cost of ticket per adult

      total amount spent on tickets = 30x + 15y    ⇒   (equation2)
  substitute equation 1 to equation 2.
  (equation 1)   y = 28 - x
  (equation 2)   total amount spent on tickets = 30x + 15y
                        total amount spent on tickets = 30x + 15(28-x)
                        total amount spent on tickets = 30x + 420 - 15x
                        total amount spent on tickets = 15x + 420
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3 years ago
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Mandarinka [93]

Answer:

the answer is 1/5

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4 years ago
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Softa [21]
I believe it is (1,5)
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IRISSAK [1]

Answer:

An Integer is a whole number (not a fractional number) that can be positive, negative, or zero.

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Hope it Helps. Mark as Brainliest!!

3 0
3 years ago
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