A total of 327 tickets were sold for the school play. they were either adult tickets or student tickets. the number of student tickets sold was two times the number of adult tickets sold. how many adult tickets were sold?

Answer:

The answer is C. 72 miles.

Step-by-step explanation:

Final answer:

To write a system of equations for the scenario, assign variables to the length and width of the rectangular parking lot. Use the information given to create two equations.

Explanation:

To write a system of equations for this scenario, let's start by assigning variables to the length and width of the rectangular parking lot. Let's say the length is represented by 'L' and the width is represented by 'W'. According to the given information, the width is one fourth the length, so we can write the equation:

W = (1/4)L

The perimeter of a rectangle is equal to the sum of all its sides. In this case, the perimeter is given as 190 meters, so we can write the equation:

2L + 2W = 190

Now we have a system of equations:

W = (1/4)L

2L + 2W = 190

These are the equations that represent the given scenario.

The equation that represents this information will be y = 1.5x + 8.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

Mike is going to a ball game on Saturday.

He will pay $8.00 for admission, plus $1.50 per item he buys at the concession stand.

Let x be the number of items and y be the total cost.

Then we have

y = 1.5x + 8

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The complete question is :

The total height of the Statue of Liberty and its pedestal is 305 feet. This is 153 more than the height of the statue. Write and solve an equation to find the height h (in feet) of the statue.

Question says 153, so we add 153 with the height of the statue

The total height of the Statue of Liberty = Height of the statue + 153

305 = h + 153

To find out h we subtract 153 on both sides

305 - 153 = h + 153 - 153

h = 152

The height of the statue = 152 ft

The height of the statue is 152 feet.

Let's call the height of the statue "h" in feet. According to the problem, the total height of the Statue of Liberty and its pedestal is 305 feet, and this is 153 more than the height of the statue. So, you can write the equation as:

Total Height = Statue Height + Pedestal Height

305 feet = h + 153 feet

Now, to find the height "h" of the statue, you can isolate it on one side of the equation. To do that, subtract 153 feet from both sides of the equation:

305 feet - 153 feet = h

152 feet = h

So, the height of the statue is 152 feet.

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The complete question is:

The total height of the Statue of Liberty and its pedestal is 305 feet. This is 153 more than the height of the statue. Write and solve an equation to find the height h (in feet) of the statue.

Emily sold 147 candles for a fundraiser. If she sold 70% of the total number of candles sold for the fundraiser, what is the total number of candles sold for the fundraiser?

Solution:

Candles Emily sold=70% of Total Number of Candles

Emily sold 147 candles.

So, We have,

147=70% of Total Number Of Candles

Let, Total Number Of Candles=x

147=70% of x

147=[tex] \frac{70}{100} [/tex] *x

147=[tex] \frac{70x}{100} [/tex]

Let us multiply by 100 on both sides

147*100=[tex] \frac{70x*100}{100} [/tex]

14700=[tex] \frac{70x*1}{1} [/tex]

14700=70x

To solve for x, Let us divide by 70 on both sides

[tex] \frac{70x}{70}=\frac{14700}{70} [/tex]

x=14700/70

x=210

Total Number of Candles=210

Answer:

the measure of the tangent-tangent angle is 56 degrees.

Step-by-step explanation:

apex

The values of x and y in parallelogram DEFG are:

Given:

DH = HF and GH = HE

We have the following equations according to the given condition.

x + 5 = 2y ...(1)

3x - 1 = 5y + 4 ...(2)

From equation (1), we can express x in terms of y:

x = 2y - 5 ...(3)

Substitute this value of x in equation (2):

3(2y - 5) - 1 = 5y + 4

Simplify and solve for y:

6y - 15 - 1 = 5y + 4

6y - 16 = 5y + 4

y = 20

Now substitute y = 20 in equation (3) to find x:

x = 2(20) - 5

x = 40 - 5

x = 35

Therefore, the values of x and y in parallelogram DEFG are:

x = 35

y = 20

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We have been given a polynomial [tex]f(x)=2x^{3} +x^{2}-3x+1[/tex] and we are asked to find average rate of  change from x = −1 to x = 1.

First of all we will find f(-1) and f(1).

[tex]f(-1)=2\cdot (-1)^{3} +(-1)^{2}-3(-1)+1[/tex]

[tex]f(-1)=2\cdot (-1) +1+3+1[/tex]

[tex]f(-1)=-2 +5=3[/tex]

Let us find f(1),

[tex]f(1)=2\cdot (1)^{3} +(1)^{2}-3(1)+1[/tex]

[tex]f(1)=2\cdot 1 +1-3+1[/tex]

[tex]f(1)=2+1-3+1[/tex]

[tex]f(1)=4-3=1[/tex]

Now let us find slope for our values.

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{f(1)-f(-1)}{1-(-1)}[/tex]

[tex]m=\frac{1-3}{1--1}[/tex]    

[tex]m=\frac{-2}{1+1}[/tex]

[tex]m=\frac{-2}{2}=-1[/tex]

Therefore, average rate of change from our given x values will be -1.

The value of x from the given diagram is; 36°

The sum of angles on a straight line is 180°.

In this scenario, the sum of angles on the straight line: AOB is 180°.

Therefore, we have

x = 36°

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It is given that:

Kali earns $ 8 per hour.

This means that if she works for n hours then this earning for n hours will be given by: $ 8n

She works x hours on both Monday and Tuesday.

This means that the earning of x hours is: $ 8x

and hence the earning for both Monday and Tuesday is:$ 2(8x)

She also worked for 5 hours on Thursday.

Hence, the earning for Thursday is: 5×8=40

The total earning of the week is given by:

                            2(8x)+5(8)