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Drive-In movie theatres are outdoor movie venues where people park facing a large screen and watch a movie from their own car. Daisy’s Drive-In charges $14.00 for a vehicle and an additional $4.00 per person in the car. Donald’s Drive-In charges $26.00 for a vehicle and an additional $2.00 per person in the car.


Write two equations that represent the 2 drive-in theatres.

Daisy’s Drive-In:
Donald’s Drive-In:



Graph the system of equations. Label the x and y axis and give the graph a title. Label each line.







What is the point of intersection on your graph? What does this mean in context of the problem? Answer in complete sentences.




Compare and contrast the theatre options. When will Daisy’s be a better deal? When will Donald’s be a better deal? Explain how you know. Answer in complete sentences.

Answer:

If both equations have the same slope, they are said to be parallel.

If an equation is the reciprocal of another equation (meaning flipped denominator and numerator as well as flipped +/- sign) they are said to be Perpendicular.

Hope it helps!

Answer:

X

Step-by-step explanation:

A function assigns the values. The value of (gof)(3) is -576.

A function assigns the value of each element of one set to the other specific element of another set.

Given f(x)=x+21 and g(x)=-x², therefore, the value of (gof)(x) will be,

(gof)(x) = g(f(x))

           = -(x+21)²

The value of (gof)(3) will be,

(gof)(3) = -(3+21)²

            = -576

Hence, the value of (gof)(3) is -576.

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Answer:

x = 9

Step-by-step explanation:

x/3 = 6/2

~Simplify

x/3 = 3

~Rewrite

1/3x = 3

~Multiply 3 to both sides

x = 9

Best of Luck!

Answer: x=9 ✅

Step-by-step explanation:

Hii student, I'd love to help you out! (:

In this problem, we need to solve a proportion. This is fun, right?

3,2,1 - start!

Solving proportions is easy as winking, if you are familiar with a skill that is known as "cross multiplying".

We have these two proportions:

(oh and by the way, proportions are just equivalent (equal) fractions. That's all proportions are. Nothing more)

Our proportions are:

[tex]\large\boldsymbol{\cfrac{x}{3}=\cfrac{6}{2}}[/tex]

We multiply x times 2 and 3 times 6; upon  doing that we obtain.

[tex]\multimap\quad \tt 2x=18[/tex]

Did you see that? 2 fractions turned into a little equation that we can solve within 5 seconds (or faster)!

To do that we simply divide both sides by 2, since x is multiplied by 2 and we need to get it all by itself on one side of the equal sign)

[tex]\multimap\quad \tt x=9[/tex]

Woohoo! We found the answer! ✨

Hope I helped! Best wishes.

Reach far. Aim high. Dream big.

[tex]\underbrace[/tex]

Answer:

147 miles

Step-by-step explanation:

The first step is to find the number of miles traveled per gallon of gas

63 miles / 3 gallons = 21 miles per gallon

Take the rate and multiply by the number of gallons used to get the distance traveled

d = r * g

d = 21 * 7

d =147

The distance traveled is 147 miles

Answer:

5 feet

The graphs intersect at x = 5.

Answer:

-x+4, 4+-x

Step-by-step explanation:

Obtain these answers by moving the X and 4 around and multiplying the equation by -1

Answer:

7 ^ 6x + 2 = 7^15

taking log on both the sides

log 7^6x + 2 = log 7^15

6x + 2 log 7 = 15 log 7

log 7

Answer:

$ 7360.00

Step-by-step explanation:

100 shares   *   $ 73/share   + $60  = $ 7360

Based on the calculation below,  the total purchase price for this transaction is $7,360.

The total purchase price for this transaction can be calculated using the following formula:

Total purchase price = (Price per share * Units of shares purchased) + Commission ...................................... (1)

Substituting all the values into equation (1), we have:

Total purchase price = ($73 * 100) + $60 = $7,360

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Based on the information provided, the table that best matches the data in the scatter plot is shown below.

A scatter plot is a type of graph which is used for the graphical representation of the values of two variables, with the resulting points showing any association (correlation) between the data set.

Based on the information provided, the table that best matches the data in the scatter plot is given by:

Data                       1    2    4    5.5    6.3

Height (cm)            1    2    3     4       5

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The highest score is 32.

The mean refers to the average of a set of values.

Total players = 8

Mean= 14.5

Now, total score of 8 players,

= 14.5*8

=116

and, Total score for the remaining 7 players

= 12 * 7

= 84

Hence, the highest score is 116-84 =32

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Answer:

8ax - 8bx + 4a - 4b

Step-by-step explanation:

(a - b)(2x - 3) + (6x + 7)(a - b)

2ax -3a -2bx +3b + 6ax - 6bx + 7a -7b

8ax + 4a - 8bx - 4b

1) All interior angles of a square are right angles, so angle WER measures 90°

2) All squares are parallelograms, and diagonals of a parallelogram bisect each other, meaning PA=AE=8 cm. Thus, PE=16 cm

3) All squares are rectangles, and diagonals of a rectangle are congruent, meaning WR=16 cm. Then, using the fact that the diagonals bisect each other, we get that WA=8 cm

4) If we consider right triangle WPR, we know it is isoceles because all sides of a square are congruent. So, the length of WP is:

[tex] \frac{16}{ \sqrt{2} } = 8 \sqrt{2} [/tex]

Answer:

Step-by-step explanation:

Simplify 14(1−23)2+13

Remember PEMDAS

14 * (1 - 23) * 2 + 13 =

14 * (-44) * 2 + 13 =

-308 * 2 + 13 =

-616 + 13 =

-603

Answer:

from top to bottom:

x = y(v-w)

x = (yv/w)/2

x = (6+w)/v

x = (y-2w)/v

Step-by-step explanation:

Answer:

the probability is  10%

Step-by-step explanation:

Answer: 49

Step-by-step explanation:

If R is the midpoint of QS, QS=2(QR)=2(RS).

[tex]15x-7=2(7x)\\15x-7=14x\\-7=-x\\\\x=7\\\\QR=7(7)=\boxed{49}[/tex]

Answer:

this is the answer

Step-by-step explanation:

6x+1=0

6x=-1

x=-1/6

x=0,166

7x=7×x

Answer:

2

Step-by-step explanation:

The degree of a polynomial is the highest of the degrees of the polynomial's monomials with non-zero coefficients. In 2x^2 + 3x +1, our highest degree is 2.

The exponential function is used. Use x as your variable common ratio.

This is pretty obviously

If it wasn't obvious we can find the common ratio r by dividing successive values:

5/1=5

25/5=5

125/25=5

625/125=5

The common ratio is the number you multiply or divide by at each stage of the sequence. You can find it by dividing two consecutive pairs of terms.

That's the common ratio.  We multiply by the first term, but the first term is one, so that has no effect.

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Answer:

8.04

Step-by-step explanation:

If the last digit in 8.041 is less than 5, then remove the last digit.

I hope this helps!

The image of the Constructed circle that passes through points X, Y, and Z is given in the image attached.

The steps to construct the circle are:

Step one- Draw 3 circles and the center of each of then is one where one acts as one of the points,  and the other side  of the compass is said to be at another point.

Step two: Then the draw the circle and follow the way for each point and the three point do cross some where of each other in the middle.

Step three: Place your compass on that point and then begin to drawing side to  link the points and so all 3 point will be on the circle.

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Answer:

D

Step-by-step explanation:

d) A number plus eight is five times the number

Keywords within mathematical phrases can be "translated" into an algebraic equation.

Keywords

First, let's define some of these keywords that can help us answer the question.

Writing Out the Expression

In the figure, we see that the blocks "x" and "8" is equal to the block "5x". So, we can say that x plus 8 is equal to 5x. Then, using the keywords above we can replace the variables and numbers.

Let original Hieght be X

reduction = 32% = 32/100 X

new hieght = 4.42 m

now, 4.42 = X + 32/100 X

4.42 = 132/100 X

X = 4.42 * 100 / 132

X = 3.34 m

Original Hieght = 3.34 m

Answer: 113 inches cubed

Step-by-step explanation:

Volume of a sphere = 4/3 Pi r^3

Radius = 3 inches

Volume = 113 inches cubed

Hope I helped!

Answer:

A. 0.2

Step-by-step explanation:

First make the table.

                                          10-grade  11-grade  12-grade  Total

Woodson high school    |     110     |     120    |      80     |   310   |

Valley high school          |     180    |     150    |     120     | 450   |

Riverside high school     |     160    |     140    |     200    | 500   |

Total                                 |     450   |     410    |     400    | 1260 |

Question: In decimal form, to the nearest tenth, what is the probability that a randomly selected riverside high school student is in twelfth grade?

First, find 12-grade and riverside high school number. 200. Take the total lined up with total number, which is 1260, and divide 200 divided by 1260.

200/1260=0.2

The answer is 0.2.

Hope this helps!

If not, I am sorry.

Answer:

its .4

Step-by-step explanation:

i got it wrong when i tried it says it is .4 or the third option c

Answer:

4.11 yards/uniform

Step-by-step explanation:

We aren't told that there will be any differences in the uniforms among the 16 concert and 20 symphonic band students.  No information on sizes, styles, or anything else.

In the absence of this information, we must assume all uniforms are the same.

(16 + 20) = 36 students/uniforms

148 yards of material

148 yards/36 uniforms = 4.11 yards per uniform.

Answer:

A = 8 ; B = 6 and C = 4

Step-by-step explanation:

(-2) + A = 6

A = 6 + 2

A = 8

0 + B = 6

B = 6

2 + C = 6

C = 6-2

C = 4

32/40 = 24/dg

32dg = 40 x 24

32dg = 960

dg = 960/32

dg = 30

Answer: DG = 30

Answer:

Step-by-step explanation:

these are 2 similar triangles, so we can solve with an equation

FC : CE = DG : ED

24 : 32 = x : 40

x = 24 * 40 : 32

x = 960 : 32

x = 30

DG = 30 units

------------------------------

24 : 32 = 30 : 40

0.75 = 0.75

The answer is good