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3 years ago

The cost of performance tickets and beverages for a family of four can be modeled using the equation 4x + 12 = 48, where x

Mathematics

1 answer:

Hunter-Best [27]3 years ago

5 0

For this case we give as data the following equation:

$4x + 12 = 48$

Where "x" represents the cost of a ticket.

By clearing the value of "x" of the equation we can know the cost of a ticket.

If we subtract 12 from both sides of the equation, we have:

$4x = 48-12\\4x = 36$

If we divide between 4 on both sides of the equation:

$x = \frac {36} {4}\\x = 9$

Therefore, the cost of a ticket is $ 9.00

Answer:

Option C

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F(x) = -1 g(x) = x-4 Can you evaluate (gof)(o)? Explain why or why not.

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Answer: Yes. (gof)(0) = -5

(gof)(0) means you will find the function of g(f(0)), which means we will find f(0) and plug that value in for x in the function g(x)

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(gof)(0) = (-1) - 4
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Answer:

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Step-by-step explanation:

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3 years ago

when nancy started middle school, she was 60 inches tall. when she started high school, she was 66 inches tall. what was the per

Ivahew [28]

Answer:

The percent change in Nancy height is 10%

Step-by-step explanation:

Given : when Nancy started middle school, she was 60 inches tall. when she started high school, she was 66 inches tall.

We have to find the percent change in her height.

Percentage change is given by the ratio of the difference in old value and new value to the old value times 100

Mathematically written as

$Percentage\ change =\frac{new\ value-old\ value}{Old\ value}\times 100$

For the given data,

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New value = 66 inches

Thus, the Percentage change is given as,

$Percentage\ change =\frac{66-60}{60}\times 100$

Simlify, we have,

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3 years ago

Read 2 more answers

Select the correct answer. A triangle has vertices (-1, 2), (3, 1), and (7, 2). What is the approximate perimeter of th...

Eva8 [605]

Answer:

16.24 Units

Step-by-step explanation:

The perimeter of the triangle is the sum of the length of the sides of the triangle. Given the points on the vertices, the length of each side may be found using the formula

Length = √(x2 - x1)^2 + (y2 - y1)^2

Considering the pair (-1, 2), (3, 1), the length of that side

= √(3 -- 1)^2 + (1-2)^2)

= √(16 + 1)

= √17 units

Considering the pair (-1, 2), (7, 2), the length of that side

= √(7 -- 1)^2 + (2-2)^2)

= √(64)

= 8

Considering the pair (3, 1), and (7, 2), the length of that side

= √(7 - 3)^2 + (2 - 1)^2

= √(16 + 1)

= √17

Hence the perimeter of the triangle

= √17 + 8 + √17

= 4.12 + 8 + 4.12

= 16.24 Units

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3 years ago