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Komok [63]
4 years ago
5

The play took in $728 one night. The number of $8 adult tickets was 14 less than twice the number of $5 child tickets. How many

of each ticket were sold
Mathematics
1 answer:
astra-53 [7]4 years ago
8 0

Answer:

  • adult: 66
  • child: 40

Step-by-step explanation:

Let c represent the number of child tickets sold. Then 2c-14 is the number of adult tickets sold, and total revenue is ...

  5c +8(2c-14) = 728

  21c -112 = 728 . . . . . . simplify

  21c = 840 . . . . . . . . . . add 112

  c = 40 . . . . . . . . . . . . . divide by 21

  2c-14 = 66 . . . . . . . . . number of adult tickets sold

66 adult tickets and 40 child tickets were sold.

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Step-by-step explanation:

4.

Plug the coordinates into the Slope-Intercept Formula first, then convert to Standard Form [Ax + By = C]:

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2 = 6[1] + b

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_________

−6x + y = −4 >> Standard Equation

a.

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+7⁄4x +7⁄4x

____________

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4[7⁄4x + y = −3]

7x + 4y = −12 >> Standard Equation

__________________________________________________________

3.

Plug both coordinates into the Slope-Intercept Formula:

b.

5 = ½[4] + b

2

3 = b

y = ½x + 3 >> EXACT SAME EQUATION

a.

−1 = −6[1] + b

−6

5 = b

y = −6x + 5

* Parallel lines have SIMILAR <em>RATE OF CHANGES</em> [<em>SLOPES</em>].

__________________________________________________________

2.

b. y + 2 = −⅔(x + 3)

a. y - 3 = ⅘(x - 5)

According to the <em>Point-Slope Formula</em>, <em>y - y₁ = m(x - x₁)</em>, all the negative symbols give the OPPOSITE TERMS OF WHAT THEY REALLY ARE, so be EXTREMELY CAREFUL inserting the coordinates into the formula with their CORRECT SIGNS.

__________________________________________________________

1.

b. y = -x + 5

a. y = 5x - 3

Just write out the Slope-Intercept Formula as it is given to you.

I am joyous to assist you anytime.

3 0
3 years ago
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