Flagship Cinemas sells movie tickets that are $4 for matinees and $7 for regular shows. One night the theater sells 578 tickets and collects $3365 in total ticket sales. Whích system best represents the situation?​

From Tales theorem:      [tex]\dfrac{8x-2}{2x+1}=\dfrac{3z+z+22}{3z}[/tex]

[tex]\dfrac{8x-2}{2x+1}=\dfrac{4z+22}{3z}\\\\(8x-2)(3z)=(2x+1)(4z+22)\qquad\qquad\{divide\ both\ sides\ by\ 2\}\\\\(4x-1)(3z)=(2x+1)(2z+11)\\\\12xz-3z=2x(2z+11)+1(2z+11)\\\\12xz-2x(2z+11)=3z+2z+11\\\\x(12z-4z-22)=5z+11\\\\x(8z-22)=5z+11\qquad\qquad\{divide\ both\ sides\ by\ (8z-22)\}\\\\x=\dfrac{5z+11}{8z-22}[/tex]

[tex]\dfrac{8x-2}{2x+1}=\dfrac{4z+22}{3z}\\\\(8x-2)(3z)=(2x+1)(4z+22)\qquad\qquad\{divide\ both\ sides\ by\ 2\}\\\\(4x-1)(3z)=(2x+1)(2z+11)\\\\(12x-3)(z)=(2x+1)(2z)+(2x+1)(1)\\\\(12x-3)(z)-(4x+2)(z)=(2x+1)\\\\\ [(12x-3)-(4x+2)](z)=(2x+1)\\\\(12x-3-4x-2)(z)=(2x+1)\\\\(8x-5)(z)=(2x+1)\qquad\qquad\{divide\ both\ sides\ by\ (8x-5)\}\\\\z=\dfrac{2x+1}{8x-5}[/tex]

Answer:

Add 3/4 to both sides (the last option)

Step-by-step explanation:

Since you want to isolate f and the expression on one side is f - 3/4, you have to add 3/4 so that the -3/4 cancels out. When you do that, you also have to add 3/4 to the other side so that the equation stays balanced.

Answer: The function value is 8.

Step-by-step explanation: Substitute 3 for x.

Answer:

Step-by-step explanation:

okay soooo first you must multiply 3 by 2 because 3 is the element of the function (x)

your answer should be 6

now add 2 to your answer (6) and you should get 8

Answer:

The height of parallelogram is 51.87 cm

Step-by-step explanation:

Let The height of a parallelogram = a cm

Then

The base of a parallelogram = 3a cm

So by the given condition

3a×a = 897

3a^2 = 897

a^2 = 897/3

a^2 = 299

a = 17.29

So the height of parallelogram = 3×17.29= 51.87 cm

Answer:

Step-by-step explanation:

Answer:

£32 : £96

Step-by-step explanation:

add the parts of the ratio, 1 + 3 = 4 parts

Divide the amount by 4 to find the value of one part of the ratio

£128 ÷ 4 = £32 ← value of 1 part of the ratio, then

3 parts = 3 × £32 = £96

£128 in the ratio 1 : 3 is £32 : £96

The amount, £128 when divided in the ratio 1:3 is; £32: £96.

We are required to divide in the ratio 1:3;

Therefore, we must divide the total by (1+3); so that we have;

Therefore, each unit is £32 and 3× £32 = £96.

The amount, £128 when divided in the ratio 1:3 is therefore; £32: £96.

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Answer:

Option D

Step-by-step explanation:

5 * 58

= 5 ( 50 + 8 ) ~This is because 50 + 8 is the same as 58, essentially rewriting the problem

5 * 50 + 5 * 8 ~This is distributing the 5, so every term in this the parenthesis is multiplied by 5

250 + 40 ~This is simplifying the problem

290 ~This is the final answer

Answer:

my mind cant take that Kacchan, you know that....

Step-by-step explanation:

sorry I couldn't help Kacchan!!!

Love: Deku <3

Answer:

4 1/2 or -1 1/2

Step-by-step explanation:

1 1/3-3= -1 1/2

1 1/2+3=4 1/2

Answer:

pretty sure its the first one

Step-by-step explanation:

The horizontal distance between the front door and the point where the ramp touches the ground will be equal to 12 feet.

According to the Pythagoras theorem, if a triangle has a straight angle (90 degrees), the hypotenuse's square is equal to the total of its other two sides' squares.

As per the given information in the question,

Length of the ramp, h = 13 feet

Height of ramp from the ground, p = 5 feet

Let the horizontal distance is b.

Then, use the equation of Pythagoras' Theorem,

h² = p² + b²

13² = 5² + b²

b² = 169 - 25

b = √144

b = 12 feet.

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Answer:

Step-by-step explanation:

(x-9)/5))(5) = 2(5)

answer is B

Answer:

yes

Step-by-step explanation:

"We can think of an arithmetic sequence as a function on the domain of the natural numbers; it is a linear function because it has a constant rate of change."

Answer: 8 cubes

Step-by-step explanation:

Volume of a rectangular prism is length × height × width

Length=7 1/2

Width= 15 1/2

Height=12

Volume of the prism is therefore:

7 1/2×12×15 1/2= 1395cm3

No of cubes with edge length 1/2 to fit into the prism will be:

Volume of cube is L*W*H

1/2*1/2*1/2= 1/8cm3

Therefore the no of cubes to fit into the Prism will be:

1395/(1/8)= 11160 cubes.

If one was stuck,the number of 1/2 edge length

cube to fit into 1cm will be:

1/(1/8)= 8 cubes

Answer: Yes.

Step-by-step explanation:

Two triangles are said to be congruent when the sides of the triangles are all of same length and also when their angles are equal as well.

In this case, the first triangles has angle measures of 98 degrees and 35 degrees. This means that the 3rd angle in the triangle will be:

= 180° - (98° + 35°)

= 180° - 133°

= 47°

Since the second triangle has angle measures of 35 degrees and 47 degrees. The 3rd angle will be:

= 180° - (35° + 47°)

= 180° - 82°

= 98°

The triangle is congruent as they all have same angles

Answer:

yes because of ASA or AAS

Step-by-step explanation

got it right

Answer:

The partial sums are increasing in value.

The series converges to the same value as what the partial sums approach.

The partial sums appear to approach 0.33.

The series might converge to One-third.

Step-by-step explanation:

Answer:

The partial sums are increasing in value.

The series converges to the same value as what the partial sums approach.

The partial sums appear to approach 0.33.

The series might converge to One-third.

Step-by-step explanation:

A world without engines is certainly an appealing idea. Although engines are a vital transportation source that allow us to move around and travel much faster and efficiently, passenger vehicles are a major pollution contributor. they produce large amounts of carbon monoxide, nitrogen oxides, and other forms of pollution. Removing all engines would definitely have downsides, but the significant amount of help it would provide towards lowering pollution rates would be extremely impactful towards our environment and earth. Engines are important parts of human life, and getting things done faster is much more efficient, without engines humans would have to do many things by hand and it would slow production of many things that are necessities. There are also many situations regarding human lives that require the fastest transportation possible, and without engines many things wouldn't get done fast enough. In conclusion, a world without engines would have many benefits towards the environment, however, we've grown to be too dependent on these machines and without them production of many things would start to slow and many trips around the world would be near impossible or extremely delayed.

sorry about it being one big block, wasnt sure how u wanted it to be spaced. hope this helps atleast a little, gl

Answer:

12.6

Step-by-step explanation:

Answer:

13.0

Step-by-step explanation:

Answer:

x = [tex]\frac{3}{2} , -5[/tex]

Step-by-step explanation:

We know that we have to find the roots of the equation - which is another way of saying the x-intercepts, or the points that are on the x-axis that the graph passes through. All points on the x-axis have a y-value of 0. So, in order to find the roots for this equation, we need to find which values of x make the y equal 0.

The equation has already been factored out. So, we just need to find which values of x for each of the expressions in the parentheses will make the result 0. To do this, set the expressions in the parentheses to 0 and isolate x.

1) First, let's look at (2x-3). Write the equation 2x-3 = 0. Then, isolate x:

[tex]2x-3 = 0\\2x = 3\\x = \frac{3}{2}[/tex]

Therefore, [tex]\frac{3}{2}[/tex] is one of the roots.

2) Next, let's look at (x+5). Write the equation x+5 = 0. Then, isolate x:

[tex]x+5 = 0\\x = -5[/tex]

Therefore, -5 is a root as well.

The roots of the equation would be [tex]\frac{3}{2}[/tex] and -5.

9514 1404 393

Answer:

  9.109×10^-31

Step-by-step explanation:

The magnitude of a positive number is the number itself.

  9.109×10^-31

Answer:

36m^2

Step-by-step explanation:

A=bh

=6m*6m

=36m^2

Answer:

Step-by-step explanation:

Your problem → f(x) = x^2 - 6x + 8,g(x) = x - 2,find f(x) + g(x)

f(x)=x^2-6x+8

g(x)=x-2

f(x)+g(x)=?

Now f(x)+g(x)

=(x^2-6x+8)+(x-2)

=x^2-6x+8+x-2

= x^2 - 6x + x + 8 -2

=x^2 -5x + 6

I can't change it to standard form but i hope this helps:)

Answer:

-376

Step-by-step explanation:

I hope that this helps you out..

Answer:

-376

Step-by-step explanation:

Answer:

x = 60

Step-by-step explanation:

The formula for this kind of question is

Area of sector = x / 360 * pi * r^2  = 24*pi

x/360 * pi * 12^2 = 24 pi

x/360 * pi * 144 = 24 pi                  the pi s cancel out

x / 360 = 24/144                             Multiply both sides by 360

x = 24 * 360/144

x = 60

Answer: 270.29 meters

Step-by-step explanation:

This is a circle which means that the distance that Charlotte measured from the center of a circular garden to its edge is the radius.

The length of the path which goes around the garden would therefore be the circumference.

Circumference = π * diameter

Diameter = radius * 2

= 43 * 2

= 86 meters

Circumference = 22/7 * 86

= 270.29 meters

Answer:

1196cm^3

Step-by-step explanation:

The height of the box with the smaller base is 4 times larger than that of the box with the larger base.

A rectangular prism is a three-dimensional shape that has two at the top and bottom and four are lateral faces.

The volume of a rectangular prism=Length X Width X Height

The volume of a box is the product of the base area and the height of the box,

Volume = base area × height

For the smaller base box,

base = 5 cm by 5 cm,

Therefore, the base area of the smaller base box

= 5 cm × 5 cm

= 25 cm².

Let the height of the smaller base box be h

The volume of the small box = 25 cm² × h

For the larger base box,

The base of 10 cm by 10 cm

Therefore, the base area of the larger base box

= 10 cm × 10 cm  

= 100 cm².

Let the height of the large base box be H.

The volume of the larger base box = 100 cm² × H

Since both boxes have the same volume so,

100 cm² × H  = 25 cm² × h

h / H = 4

h = 4H

Hence, The height of the box with the smaller base is 4 times larger than that of the box with the larger base.

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tip

I need the hold thing to know the question like or the picture