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Flura [38]
3 years ago
9

A movie theater has a seating capacity of 249. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults.

There are half as many adults as there are children. If the total ticket sales was $ 1806, How many children, students, and adults attended?
Mathematics
1 answer:
Sonbull [250]3 years ago
4 0

9514 1404 393

Answer:

  • 126 children
  • 63 adults
  • 60 students

Step-by-step explanation:

Let a represent the number of adults that attended. Then 2a is the number of children, and (249 -a -2a) is the number of students. The total revenue is ...

  5(2a) +7(249 -3a) +12a = 1806

  a +1743 = 1806 . . . . simplify; next, subtract 1743

  a = 63 . . . . . . . . adults

  2a = 126 . . . . . . children

  249 -3a = 60 . . students

126 children, 63 adults, and 60 students attended.

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Question 8/Multiple Choice Worth 1 points)
Hunter-Best [27]

Answer:

k = 3

Step-by-step explanation:

Given

f(x) = 0.5x

g(x) = 0.5x - k

Required

Find k

<em>The question illustrates changing of positions of lines along the x and/or y axis;</em>

<em>But in this case; if graph f(x) is shifted down, then it represents a negative shift of points in the y axis.</em>

Given that f(x) = 0.5x

and f(x) is shifted down by 3 units to give g(x); then:

f(x) - 3 = g(x)

Substitute 0.5x for f(x)

0.5x - 3 = g(x)

Recall that g(x) = 0.5x - k ---------- (given)

0.5x - 3 = 0.5x - k

Subtract 0.5x from both sides

-0.5x + 0.5x - 3 = -0.5x + 0.5x - k

-3 = -k

Multiply both sides by -1

-3 * -1 = -k * -1

3 = k

k = 3

<em>Hence, the value of k is 3</em>

8 0
2 years ago
A software company keeps a ratio of 2.5 testers to every 10 software developers. If the company hires 20 developer in one year,
pochemuha

Answer:

They will need to hire 5 testers.

Step-by-step explanation:

This question can be solved using a simple rule of three.

For each 10 developers, we need 2.5 testers. So how many testers are needed for 20 developers?

10 developers - 2.5 testers

20 developers - x testes

10x = 20*2.5

10x = 50

x = \frac{50}{10}

x = 5

They will need to hire 5 testers.

6 0
3 years ago
Read 2 more answers
1.
Anit [1.1K]

Answer:

-1/3

Step-by-step explanation:

(-2, 5) and (1, 4)

Slope:

m=(y2-y1)/(x2-x1)

m=(4-5)/(1+2)

m=(-1)/3

m= -1/3

5 0
2 years ago
Which graph shows the equation c=10+3t where c is the the total cost
julia-pushkina [17]

Answer:

Step-by-step explanation:

Please share the possible answer choices next time.

c = 10 + 3t is a linear function with y-intercept (0, 10) and slope 3.

Plot (0, 10).  Starting there, move your pencil point 1 unit to the right and 3 units up.  Plot this new point (1, 13).  Draw a line connecting

(0, 10) and (1, 13).

6 0
3 years ago
What happens to a line when the y-intercept is changed? Check all that apply
Bond [772]
A and B
Reason and proof:
suppose we have the following function
f(x) = 2x + 1
the y intercept is 1 therefor it'll intersect the y axis at (0,1)
however if the function was to be
f(x) = 2x - 1
the y intercept is -1 that means it intersect the y axis at (0,-1)
4 0
2 years ago
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