Movie tickets cost $6 for a child and $10 for an adult. A showing of a movie brought in $600 in ticket sales.

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

To find the number of child and adult tickets sold, we can use algebraic equations. Let's assume the number of child tickets sold is 'c' and the number of adult tickets sold is 'a'.

Given information:

Cost of child ticket: $6

Cost of adult ticket: $10

Total ticket sales: $600

1. Set up the equation for the total ticket sales:

6c + 10a = 600

2. We need to find a combination of 'c' and 'a' that satisfies this equation.

- Option 1: Let's assume all tickets sold were child tickets.

In this case, the equation becomes:

6c + 10(0) = 600

Simplifying, we get:

6c = 600

Solving for 'c':

c = 100

So, if all tickets were child tickets, 100 child tickets were sold.

- Option 2: Let's assume all tickets sold were adult tickets.

In this case, the equation becomes:

6(0) + 10a = 600

Simplifying, we get:

10a = 600

Solving for 'a':

a = 60

So, if all tickets were adult tickets, 60 adult tickets were sold.

- Option 3: Let's assume there were a combination of child and adult tickets sold.

We can try different values for 'c' and solve for 'a'.

For example, if we assume 'c' to be 50, the equation becomes:

6(50) + 10a = 600

Simplifying, we get:

300 + 10a = 600

Solving for 'a':

10a = 300

a = 30

So, if 50 child tickets and 30 adult tickets were sold, the equation is satisfied.

Therefore, there are multiple possible combinations of child and adult tickets sold that could result in $600 in ticket sales. The options are:

- 100 child tickets

- 60 adult tickets

- 50 child tickets and 30 adult tickets.

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How to find hyptenuse of a triangle?

Answers

IF the triangle has a 90-degree angle in it (it's a right triangle), then the length
of the hypotenuse is:

Square root of (square of the shortest side + square of the medium side).

If the triangle is not a right triangle, then it doesn't have a hypotenuse.

Where does y=2x-3 and y=-x+3 intersect?

Answers

Substitute -x+3 for the y in the first equation so it reads -x+3=2x-3 then solve for x getting x=2. thats your x coordinate for the point of intersection. Then choose either equation and plug in 2 for x and solve. Thats your y coordinate, which is 1. So the point of intersection is (2,1).

$y=2x-3\ny=-x+3\n\n2x-3=-x+3\n3x=6\nx=2\n\ny=-2+3\ny=1\n\n\text{They intersect at the point }(2,1)$

What is the equation of the following graph in vertex form?parabolic function going down from the left and turning at the point negative one comma zero and going up through the point zero comma one and continuing towards infinity
Courtesy of Texas Instruments

y = (x − 1)2
y = (x − 1)2 + 1
y = (x + 1)2 − 1
y = (x + 1)2

Answers

Correct answer is D.

Graph passes through the point (-1, 0).
Therefore, x = -1 and y = 0.

$y=(x+1)^2\n0=(-1+1)^2\n0=0^2\n0=0 \;\; \text{T}$

This is the only equation which is true for x = -1 and y = 0.
Therefore, the solution is $y=(x+1)^2$

Answer:

y = (x + 1)^2

Step-by-step explanation:

I used desmos and put each answer choice into the graphing calculator and answer choice D was the only one that matched with the image in the question.

Kathleen bought 8.3 ounces of walnuts. The next day, she used 1.7 ounces of them in a recipe. How many ounces does she have left?

Answers

Answer:

6.6 ounces left

Step-by-step explanation:

Take the amount she had and subtract the amount she used

8.3-1.7 =6.6

Answer:

She has 6.6 ounces left.

Pranav made a nut mixture that contains 82% peanuts by mixing 6kg of mixed nuts with 9kg of peanuts. The mixed nuts contained what percent peanuts?

Answers

ok so
82%=82/100=0.82

82% of all =peanuts

total=6+9=15kg

all=15
0.82 times 15=peanuts
12.3=peanuts

12.3kg of peanuts total
9kgpeanuts+xkgpeanuts(inmixednuts)=12.3
subtract 9 from both sides
xkgpeanuts=3.3kg

3.3/9=x%
x%=x/100
3.3/9=x/100
1.1/3=x/100
multiply both sides by 300
110=3x
divide both sides by 3
36.6666=x
36.6666% is answer
aprox 37%

What digit is in the ten thousandths place of the number 43,310.60975?

Answers

The digit in the ten thousandth place of the number 43,310.60975 is 7.

What is the place value strategy?

The place value strategies are defined as math strategies that use to assist you in resolving your elementary math problems, use your place values, such as tens and hundreds.

Place Value is below from left to right for 43,310.60975, as :

Digit Place Value

4 Ten Thousand

3 Thousand

3 Hundred

1 Ten

0 Ones

6 Tenths

0 Hundredths

9 Thousandths

7 Ten Thousandths

5 Hundred Thousandths