The answer is 110 adult tickets. Let x= student tickets and y= adult tickets.

We know that the total tickets sold was 440. That means the total number of student tickets (x) plus the total number of adult tickets (y) equaled 440. Putting it into an equation, you get:

x+y=440

Now we know that the amount of student tickets is equal to three times as many adult tickets, so in an equation that is seen as:

x=3y

In order to solve for one variable, plug in 3y for the x value of the first equation to get:

y+3y=440

then solve:

4y=440
y= 440/4
y=110

The total number of adult tickets sold was 110 tickets.
(This method used in math is technically called "Solving Systems of Equations", just fyi).

4 0

3 years ago

Read 2 more answers

One wall inside a shoe store is used to display walking shoes and running shoes. There are 135 pairs of shoes in this display. T

scoray [572]

For this case, the first thing we must do is define variables:
x: walking shoes
y: running shoes
We now write the system of equations:
There are 135 pairs of shoes in this display:
x + y = 135
There are 1.5 times as many pairs of walking shoes as there are running shoes on display:
x = 1.5y
Solving the system:
x = 81
y = 54 Answer:
x + y = 135
x = 1.5y
x = 81
y = 54

3 0

3 years ago

Please help!! Use the expressions that represent the length and width of the game board to write an equation that

mart [117]

Answer:

$y=-1x^{2}+60x+256$

Step-by-step explanation:

Given:

The length of the game board, $l=-x+64$

The width of the game board, $b=x+4$

So, area of the game board is given as:

$y=l\times b\\y=(-x+64)(x+4)\\y=-x^{2}-4x+64x+256\\y=-1x^{2}+60x+256$ .

Therefore, the area of the game board can be expression in the form $y=ax^{2}+bx +c$ as $y=-1x^{2}+60x+254$ , where, $a=-1,b=60,c=256$

4 0

3 years ago

Nikita began with the figure shown.

slava [35]

The angles formed by the angle bisector BF are ∠FBA and ∠FBC.

The step in which the mistake was made is step 3; Then, she placed the compass on point C and drew an arc on the interior of ∠ABC which intersects the previous arc.

Reasons:

The steps to draw an angle bisector are;

Place the compass at the vertex of the angle and draw an arc intersecting the the two rays forming the angle at points D and E

Place the compass at point D and draw an interior arc to the given angle

Place the compass at point E and draw a second interior arc intersecting the previous arc

The point of intersection of the two arcs can be labelled F and joined to the vertex of the given angle to complete the angle bisection

Therefore, the step in which the mistake was made is; Step 3 where the compass is placed at point C rather than point E to draw the second arc of the angle bisector

Learn more about an angle bisector here:

brainly.com/question/10130247

6 0

2 years ago