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Juli2301 [7.4K]
3 years ago
8

At the movie theatre, child admission is $5.10 and adult admission is $9.00 .

Mathematics
1 answer:
sveticcg [70]3 years ago
8 0

Answer:

5.10 X +9.00 Y = 831.60

We also know that for Wedneday we have two times tickets for adults compared to child so we have

Y =2x

And using this condition we have:

5.10 X + 18 X = 831.60

And solving for X we got:

X= \frac{831.60}{23.1}=36

So then the number of tickets sold for child are 36

Step-by-step explanation:

For this problem we can set upt the following notation

X = number of tickets for child

Y= number of tickets for adults

And we know that the total revenue  for Wednesday was 831.60. So then we can set up the following equation for the total revenue

5.10 X +9.00 Y = 831.60

We also know that for Wedneday we have two times tickets for adults compared to child so we have

Y =2x

And using this condition we have:

5.10 X + 18 X = 831.60

And solving for X we got:

X= \frac{831.60}{23.1}=36

So then the number of tickets sold for child are 36

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Show how to use substitution or elimination to solve the following system of equations. Write the solution as an ordered pair.
max2010maxim [7]

Answer:

  (4, 6)

Step-by-step explanation:

<u>Substitution</u>

Using the second equation, we can substitute for y in the first equation.

  4x -(2x-2) = 10

  2x +2 = 10 . . . . simplify

  x +1 = 5 . . . . . . .divide by 2

  x = 4 . . . . . . . . . subtract 1

  y = 2(4) -2) = 6 . . . . substitute for x in the equation for y

The solution is (x, y) = (4, 6).

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<u>Elimination</u>

Often, we like to start with both equations in standard form when we solve by elimination. That is nice, but not completely necessary.

We can eliminate the y-variable by simply adding the two given equations.

  (4x -y) +(y) = (10) +(2x -2)

  4x = 8 + 2x . . . . . collect terms. The y-variable has been eliminated.

  2x = 8 . . . . . . . . . subtract 2x

  x = 4 . . . . . . . . . . divide by 2

Y can be found using the second equation.

  (x, y) = (4, 6)

__

We could have eliminated the x-variable by multiplying the second equation by 2, then adding the two equations.

  (4x -y) +2(y) = (10) +2(2x -2)

  y = 6 . . . . . . . . . subtract 4x from both sides. The x-variable has been eliminated.

Now, x can be found using either equation.

  6 = 2x -2 . . . substitute for y in the second equation

  3 = x - 1 . . . divide by 2

  x = 4 . . . . . add 1

  (x, y) = (4, 6)

3 0
3 years ago
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erastovalidia [21]

Answer:

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explanation:

6 0
2 years ago
Which is an equation in point-slope form for the given point and slope?
Mashutka [201]

Answer:

see explanation

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

here m = 4 and (a, b) = (- 3, 7), hence

y - 7 = 4(x - (- 3)), that is

y - 7 = 4(x + 3) ← second equation in the list

7 0
3 years ago
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vovikov84 [41]
X^2+2x-5x-10
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6 0
3 years ago
jane and jill were simplifying the expression (2x2+x) +2(-x2+×) and obtained different answers . who is right and why?​
Romashka [77]

Answer: who ever arrives at the answer x=0/3 =0 is correct

Step-by-step explanation:

Even though I need supporting details from the individual answers of Jane and Jill to pass my own judgment.

Given the expression

(2x²+x) +2(-x²+×)=0

Let's us open the bracket

2x²+x-2x²+2x=0

Collecting like terms

2x²-2x²+x+2x=0

3x=0

x=0/3

x=0

4 0
2 years ago
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