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Blizzard [7]
3 years ago
7

there were a total of 16 people. children tickets cost $6 and adult tickets cost $9. She sent a total of $129. How many adults w

ent to the movie?
Mathematics
2 answers:
lara [203]3 years ago
5 0

Answer:

11 adults

Step-by-step explanation:

First, set up a system of equations:

Let x = number of children and y = number of adults

There is a total of 16 people, so x+y = 16. This is your first equation.

Each child ticket costs $6, so 6x = cost of children's tickets based on the number of children present (x)

Each adult ticket costs $9, so 9y = cost of adult's tickets based on the number of adults present (y)

The total cost of tickets is $129, so 6x+9y = 129. This is your second equation.

Your system of equations is now this:

x +   y = 16

6x + 9y = 129

You can solve this system using the method of elimination, where we will eliminate the variable x (number of children), since we are focused on y (number of adults).

Multiply the top equation by -6. This will give the following equation:

-6x - 6y = -96

You can now solve the system of equations by placing the new equation under the second equation like this:

6x + 9y = 129

-6x - 6y = -96

Now, add the two equations together.

6x + (-6x) = 0

9y + (-6y) = 3y

129 + (-96) = 33

After doing this, you get the following equation:

3y = 33

As you can see, the variable x has been eliminated, and you are left with y.

Solve the equation for y:

3y = 33

y = 33/3 = 11

y = 11 adults

Anuta_ua [19.1K]3 years ago
3 0

Answer: 11 adults

Step-by-step explanation:

1. Let x = number of children and y = number of adults

2. Set up an equation: x+y = 16

3. 6x = cost of children's tickets based on the number of children present

9y = cost of adult's tickets based on the number of adults present

4. Set up your second equation: The total cost of tickets is $129, so 6x+9y = 129

Your system of equations is now:

x +   y = 16

6x + 9y = 129

You can solve this system using the method of elimination, where we will eliminate the variable x (number of children), since we are focused on y (number of adults).

Multiply the top equation by -6. This will give the following equation:

-6x - 6y = -96

You can now solve the system of equations by placing the new equation under the second equation like this:

6x + 9y = 129

-6x - 6y = -96

Now, add the two equations together.

6x + (-6x) = 0

9y + (-6y) = 3y

129 + (-96) = 33

After doing this, you get the following equation:

3y = 33

As you can see, the variable x has been eliminated, and you are left with y.

Solve the equation for y:

3y = 33

y = 33/3 = 11

y = 11 adults

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Step-by-step explanation:

4 ×3.14 to get 12.56

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Answer:

Length of side of rhombus is x=\frac{ab}{a+b}  

Step-by-step explanation:

Given Rhombus ADEF is inscribed into a triangle ABC so that they share angle A and the vertex E lies on the side BC. We have to find the length of side of rhombus.

It is also given that AB=a and AC=b

Let side of rhombus is x.

In ΔCEF and ΔCBA

∠CEF=∠CBA        (∵Corresponding angles)

∠CFE=∠CAB        (∵Corresponding angles)

By AA similarity rule, ΔCEF~ΔCBA

∴ their sides are in proportion

\frac{EF}{AB}=\frac{CF}{AC}

⇒ \frac{x}{a}=\frac{b-x}{b}

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⇒ x(a+b)=ab

⇒ x=\frac{ab}{a+b}

Hence, length of side of rhombus is x=\frac{ab}{a+b}  

6 0
3 years ago
Evaluate the expression 5x-3x for x=2
dimulka [17.4K]

x is a placeholder for a number. Think of it as a box. Inside the box, we're told that 2 is there.

So we'll replace every x with 2 and use PEMDAS

5*x - 3*x = 5*2 - 3*2 = 10 - 6 = 4

After simplifying, the answer is 4.

5 0
3 years ago
Read 2 more answers
Can somebody help me with this. Will Mark brainliest.
wel

Answer:

The maesure of D will be 23 hope this help :')

Step-by-step explanation:

5 0
2 years ago
Need help for #2 nd #8, really urgent!!
xxMikexx [17]
#2 Answer: x=4
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#8 Answer: 3
let the space for number be 0 than
420*6 = 2520
next stage is to find the remainder:
2538-2520=18
than 18/6 = 3.

The missing number is 3
4 0
3 years ago
Read 2 more answers
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