Mathematics Middle School

The movie theater in town has 4 rooms. Each room has 58 seats on the left side and 32 seats on the right side. Which equation could be used to show the total number of seats in the theater?
A) 52 + 32= ?
B) 4 + 32 + 58= ?
C) (58 + 32) x 4= ?
D) (58 - 32) x 4= ?

Answers

Answer 1

Answer:

The right option is (C) (58 + 32)×4

Step-by-step explanation:

Total number of rooms = 4

Number of seats on left = 58 seats in each room

Number of seats on right = 32 seats in each room

Total number of seats in a room = 58 + 32 seats

Total number of seats in the movie theater = Number of rooms × Number of seats in each room

Total number of seats in the movie theater = 4 × (58 + 32)  = 360 seats

Hence the right option is (C) (58 + 32)×4

Related Questions

This is an ADDMATHS QUESTION so I'm not sure if anyone can help me but please try to ㅠ ㅠ: Find the equation of the normal to the curve y=ln(2x^2 - 7) at the point where the curve crosses the positive x-axis. Give your answer in the form ax+by+c=0 , where a, b and c are integers.

Answers

You can go through the effort of determining the zero of the function analytically and evaluating an analytic expression for the derivative at that point, or you can let a graphing calculator do that heavy lifting. Since the numbers have to be "nice" for your equation to have the desired form, it is easy to know what to round to in the event that is necessary (it isn't).

We find the positive zero-crossing at x=2, and the slope of the curve at that point to be 8. Thus the line will have slope -1/8 and can be written as
.. x +8y -2 = 0
This equation crosses the positive x-axis at (0, 2). I used a graphing calculator, you could brute force it if you'd like.

First, take the derivative of the equation given:
[tex]y = ln(2x^2-7)[/tex]
[tex]y' = \frac{4x}{2x^2-7} [/tex]

At 2, the function has a derivative of 8 (just plug in 2 to y'). So, the perpendicular to that has to have the slope -1/8 because of the negative-inverse rule. We have this until now:
[tex]y = -\frac{1}{8}x -2[/tex]

Now, we have to get a 0 on the right side, so, just get everything on the other side, and you are done. 

A cell phone provider offers a plan that costs $40 per month plus $0.10 per text message sent or received. A comparable plan costs $70 per month but offers unlimited text messaging. How many text messages would have to be sent or received in order for the plans to cost the same each month?

Answers

300 text messages. Because there’s a 30 dollar differences. So you’ll multiple 30x10=300

which equation below will produce a decay curve

y=2(4)^x
y=3^x-4
y=6(1/3)^x
y=1/2(3)^x

Answers

answer : y=6(1/3)^x, option C

Decay curve means when x value increases the y value will decrease.

We plug in 3 values for x and check the y value

Lets start with first option

[tex] y=2(4)^x [/tex]

x=0 , y= 2

x=1, y= 8

x=2, y=32

when x value increases the y value also increases. so option A is not a decay curve

[tex] y=3^x -4 [/tex]

x=0 , y= -4

x=1 , y= -1

x=2 , y = 5

when x value increases the y value also increases. so option B is not a decay curve.

[tex] y= 6(\frac{1}{3})^x [/tex]

x=0, y = 6

x=1, y = 2

x=2 , y= 0.67

when x value increases the y value decreases. so option C is a decay curve

Final answer:

The equation that will produce a decay curve is y = 6(1/3)^x.

Explanation:

The equation that will produce a decay curve is y = 6(1/3)x.



A decay curve is characterized by exponential decay, where the base of the exponent is less than 1. In this equation, the base is 1/3, which is less than 1. As x increases, the value of (1/3)x decreases, resulting in a decay curve.



For example, if we substitute x = 0 into the equation, we have y = 6(1/3)0 = 6(1) = 6. As x increases, the value of y decreases exponentially.

create a sketch of the graph of a function whose gradient is linear and that gradient has an x-intercept at x=4

Answers

Here is one that meets your requirements.

The table of values represents a quadratic function.

What is the average rate of change for f(x) from x = 0 to x = 10 ?

x ​f(x)​
​−10​ 184
​−5​ 39
0 ​−6​
5 49
10 204

Answers

(f(10) -f(0))/(10 -0) = (204 -(-6))/10 = 21

The average rate of change on the interval is 21.

The average rate of change for any function f(x) is the ratio of change in its y-values to change in its x-values for any two particular points on the curve of the function f(x). Mathematically, we can write it as follows :-

Average rate of change = [tex] \frac{f(x_{2})-f(x_{1})}{x_{2}-x_{1}} [/tex]

It says to find the average rate of change from x = 0 to x = 10.

From the given table, x = 0 corresponds to y = f(0) = -6 and x = 10 corresponds to y = f(10) = 204.

So we have two points A(0, -6) and B(10, 204).

Using the above formula, we can find average rate of change from A to B.

Average rate of change from (0, -6) to (10, 204) = [tex] \frac{204-(-6)}{10-0} =\frac{204+6}{10} = \frac{210}{10} =21 [/tex]

Hence, the final answer is 21.

Drag each tile to the table to multiply (6x-y)(2x-y+2)

Answers

The other answer is 12x2 – 8xy + 12x + y2 – 2y

The product of (6x - y)(2x - y + 2) is 12x² + y² -8xy + 12x -2y

The required table to multiply (6x - y)(2x - y + 2) is shown below.

What is expression?

"It is a mathematical statement that consists of constants, variables and some mathematical operations."

For given question,

We have been given an expression (6x - y)(2x - y + 2)

The product of above expression is,

(6x - y)(2x - y + 2)

= 6x(2x - y + 2) - y(2x - y + 2)

= 12x² - 6xy +12x - 2xy + y² - 2y

= 12x² + y² -8xy + 12x -2y

The required table to multiply (6x - y)(2x - y + 2) is shown below.

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determine the measure of angle bpc in the figure

Answers

from the last answer
angle CPD = 38°
agian,
angle BPC + angle CPD = 90° ( sum of complementary angles)
or, angle BPC + 38 = 90
or, angle BPC = 90 - 38
or, angle BPC = 52°
therefore BPC = 52

Consider circle Y with radius 3 m and central angle XYZ measuring 70°. What is the approximate length of minor arc XZ? Round to the nearest tenth of a meter. meters

Answers

Use formula for the length of the arc:

[tex] \text{Arc Length} = (\theta\cdot \dfrac{\pi}{180^{\circ}}) \cdot r [/tex], where [tex] \theta [/tex] is central angle.

Substitute [tex] \theta [/tex] and r=3 into formula:

[tex] \text{Arc Length} = (\theta\cdot \dfrac{\pi}{180^{\circ}}) \cdot r=(70^{\circ}\cdot \dfrac{\pi}{180^{\circ}})\cdot 3=\dfrac{7}{6}\pi [/tex].

Answer: [tex] \text{Arc Length} =\dfrac{7}{6}\pi [/tex].

Answer:

its 3.7

Step-by-step explanation:

which is most likely the equation of the line shown on the graph?

Answers

The y-intercept is at (0, 3)
The slope is up one, over one.
The equation for this line would be
y = 1/1x + 3
which is equal to 
y = x + 3

Hope this helps!

Answer:

The equation of line is y=x+3.

Step-by-step explanation:

Consider the provided graph.

The slope intercept form of a line is:

y=mx+c

Where m is the slope and c is the y intercept.

y-intercept is a point where the value of x is 0.

From the provided graph we can identify the y intercept of the line is 3. Because at (0,3) the value of x is 0.

Now find the slope of line as shown

[tex]m = \frac{Rise}{Run}[/tex]

Here for 1 unit of run the graph rise 1 unit, thus the slope of the line is:

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

Now substitute the value of m and c in the slope intercept form.

y=x+3

Hence, the equation of line is y=x+3.

Name a geometric technique that can give an illusion of depth to a two-dimensional figure.
a.
Fibonacci sequence
c.
Golden mean
b.
one-point perspective

Answers

golden mean is the asnwer
Answer: option c. one-point perspective

Justification:

The one-point perspective is a mathematical (geometric) technique that permits to represent the real objects (which are in 3D) in a flat sheet of paper (or canvas or any flat surface use to draw), which is a 2-D figure.

With this technique, the objects appear smaller as they are further away which is what gives the illusion of 3D (perspective).

To get the effect of 3D, the lines on the drawing converge towards a point on the horizon line.


Can someone plz give the answers to 13&14 people said that couldn’t see it so I put this one up :)

Answers

13. (1/3)*(3/4) = 1/4 . . . . of the aquarium animals are clown fish

14. 4*(1/5) = 4/5 . . . . . . . pounds of beef in 4 hamburgers

The table on the right shows last initials of basketball players and the number of games played by each. Find the​ z-score for player Upper G​'s games played.


Player Games Played


A 75


B 81


C 72


D 79


E 76


F 80


G 75


H 79


J 73


K 79

Answers

are u doing a test or no

Give the required elements of the hyperbolas below.

1. x^2/9 - y^2/16 =1

a. 3
b. 4
c. 9
d. 16

2. 4x^2 - y^2 = 16

a. 1
b. 2
c. 4
d. 16

3. 2y^2 - 3x^2 =6

a. √ ̅2
b. √ ̅3
c. 2
d. 3

Answers

Final answer:

The hyperbolas' equations are analyzed to find the values of a² and b². For the first equation, a² is 9 and b² is 16; for the second, a² is 4 and b² is 16; and for the third, a² is 3 and b² is 2.

Explanation:

To identify the required elements for each of the hyperbolas, we need to look at the equations of the hyperbolas and determine the values of a and b, which are the square roots of the denominators of the x-squared and y-squared terms when they are in the standard form for a hyperbola, x²/a² - y²/b² = 1 for horizontal hyperbolas, and y²/a² - x²/b² = 1 for vertical hyperbolas.

1. For the hyperbola x²/9 - y²/16 = 1, the required elements are a² and b². Hence, a² = 9 and b² = 16, leading to the answers being c and d respectively.

2. The hyperbola 4x² - y² = 16 can be rearranged to x²/4 - y²/16 = 1. Here, a² = 4 and b² = 16, making the answers c and d respectively.

3. For hyperbola 2y² - 3x² = 6, it rearranges to y²/3 - x²/2 = 1. In this case, a² = 3 and b² = 2, so the answers are d and a respectively, since we are looking for a and b, not a² and b².

At a table tennis tournament, two games went on for a total of 32 minutes. One game took 12 mintues longer than the other. How long did it take to complete each game?

Answers

The answer to your problem is 10 and 22. 10 plus 22 equals 32. 12 plus 10 equals 22

The total time for two game is 32 minutes. The time for each game can be determine using system equation.

The time for game is 10 minute and 22 minute respectively.

Given:

Total time to complete two game is 32 minutes.

Let [tex]x[/tex] is the time took to complete one game.

Write the system equation for the given condition.

[tex]\begin{aligned}\\ x+x+12=32\\2x=32-12\\x=10 \:\rm min\\\end{aligned}[/tex]

As per the question, one game took 12 minutes longer than other. So the time for second game is,

[tex]x+12=10+12=22 \:\rm minutes[/tex]

Thus, the time took to complete game is [tex]10\:\rm minutes[/tex] and [tex]22\:\rm minutes[/tex] respectively.

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The surface area of a square pyramid is 136 square inches. The base length is 4 inches. What is the slant height?

Answers

15 inches.

The side length of the base is 4. Find the surface area of the base only by squaring the side length - 4² - which is 16. The surface area of the base is 16 in². 

The surface area of the entire pyramid can be found using this equation:

[tex]SA = B + \frac{1}{2} nbl[/tex] 

Where:
- SA is the surface area (136 square inches)
- B is the area of the base (16 square inches)
- n is the number of triangles (4, because it's a square pyramid)
- b is the base length (4 inches)
- l is the slant length

Note that we have many parts of this equation, and all we need is the slant length. So, let's format the equation with what we have:

[tex]136 = 16 + \frac{1}{2} * 4 * 4 * l[/tex]

So then we want to solve for l, the slant height. So, start by subtracting 16 from each side. This would give us: 

[tex]120 =  \frac{1}{2} * 4 * 4 * l[/tex]

Now, multiply both sides by 2 to get rid of the fraction:

[tex]240 = 4 * 4 * l[/tex]

Finally, divide both sides by four, twice (divide by 16):

[tex]15 =  l[/tex]

So, we know that the slant height of this pyramid is 15 inches.

ASAP
Kim and Leon together have $111. if kim has $17 more than Leon, how much does each person have?

Answers

To solve this, we should make an equation. The equation has to be in terms of L, which is Leon since Kim has $17 more than him.
The equation:
(L+17) + L = 111
The parenthesis represent how much Kim has. We can take the parenthesis out to actually solve the equation.
L + 17 + L = 111
Let's add like terms, which is L.
2L + 17 = 111
Subtract 17 on both sides.
2L= 94
Divide.
L= 47
We know Leon has 47, now we have to solve Kim by just adding 17 since she has 17 more than Leon.
47+17= 64
So Kim has 64. Let's check by adding and making sure their two values are equal up to 111.
64+47=111
Leon has $47 and Kim has $64.

Leon has $47 and Kim has $64. We solved the problem by setting up an equation with the given information and solving for each person's amount.

The question presents a typical algebraic problem. Let's denote Leon's amount of money as L and Kim's amount as K. According to the problem, Kim has $17 more than Leon, so we can write this as K = L + $17.

Since the total amount of money they have together is $111, we can formulate the following equation: L + K = $111. By substituting the first equation into the second, we get L + (L + $17) = $111.

Simplifying by combining like terms, we get 2L + $17 = $111. To find the value of L, we subtract $17 from both sides, resulting in 2L = $94. Dividing by 2 gives us L = $47.

Since K = L + $17, we substitute the value of Leon's money to find Kim's: K = $47 + $17 = $64. So Leon has $47 and Kim has $64.

Find the coordinates of quadrilateral PQRS with vertices P(1, 4), Q(-1, 4), R(-2, -4) and S(2, -4) under the translation (x,y)---> (x-5,y+3) ("that is an arrow btw not a less than sign or equal to sign").
a.
P’(-4, 7), Q’(-6, 7) , R’(-7, -1) and S’(-3, -1)
b.
P’(6, 7), Q’(4, 7) , R’(3, -1) and S’(7, -1)
c.
P’(-4, 1), Q’(-6, 1) , R’(-7, -7) and S’(-3, -7)
d.
P’(6, 1), Q’(4, 1) , R’(3, -7) and S’(7, -7)

Answers

We apply the rule to each of the vertices:
 (x, y) ---> (x-5, y + 3)
 P (1,4) ---> (1-5,4 + 3) >> (-4, 7)
 Q (-1,4) ---> (-1-5,4 + 3) >> (-6, 7)
 R (-2, -4) ---> (-2-5, -4 + 3) >> (- 7, -1)
 S (2, -4) ---> (2-5, -4 + 3) >> (-3, -1)
 Answer:
 a.
 P’(-4, 7), Q’(-6, 7) , R’(-7, -1) and S’(-3, -1)

Answer:

a. P’(-4, 7), Q’(-6, 7) , R’(-7, -1) and S’(-3, -1)

Step-by-step explanation:

Jane drew a point that was 1 unit to the right of the y-axis and 7 units above the x-axis.what is the ordered pair for this location

Answers

the ordered pair will be (1,7)

I need help please help please please please

Answers

Problem 1 is asking "the other cost."

It is described in the problem statement as "a cost for every one-tenth of a mile traveled." It is described in the table header as "Mileage Cost in Dollars."

The only value in the "Mileage Cost in Dollars" column is 1, which corresponds to a distance of 1/10 mile. So, it appears the numerical value of "the other cost" is $1 for each tenth-mile traveled.

___
The problem statement does not make clear whether the desired answer is the description of the other cost, or its numerical value.

hali invested money into an account that is guaranteed to grow$28 each year. she graphs a line that represents the growth of the account. with x representing the number of years since she first opened the account and y representing the number of dollars in it. what is the slope of the line?

Answers

if we take the graph with x as number of years and y as amount of dollars in it as mentioned in the equation;
gradient of the graph/ slope (m) = Change in y / change in x 
so if we take a certain portion of the graph 
x is the number of years, since we know the growth for one year,
lets take change in x as 1 year
y is amount of dollars, the change in amount of dollars for one year is 28
therefore change in y is 28
m(slope) = 28(change in y) / 1 (change in x)
              = 28

What is the area of the object Below?
A.
158 sq cm
B.
102 sq cm
C.
94 sq cm
D.
142 sq cm

Answers

split the image into 2 rectangles
so
A = (8 x 4) +(10 x 7)
A = 32 + 70
A = 102 

answer
B. 
102 sq cm
7 x 10 = 70

4 x 8 = 32

32 + 70 = 102

102 is your answer. :-)

determine which fraction goes in the middle to make the comparison true. 5/8< ? < 8/10. so the answer to pick from are 1/2,1/3,7/10,1/4

Answers

7/10 is the answer. 

7/10 is greater than 5/8 but it is less than 8/10

The fraction that goes in the middle to make the comparison true is 7/10.

5/8 < 7/10 < 8/10

Option C is the correct answer.

What is a fraction?

A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.

Example: 1/2, 1/3 is a fraction.

We have,

5/8 < x < 8/10

The value for x is greater than 5/8 but less than 8/10.

1/2 is less than 5/8.

1/3 is less than 5/8.

7/10 is greater than 5/8 and less than 8/10.

1/4 is less than 5/8.

Thus,

5/8 < 7/10 < 8/10

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Find 22,23,24,25 and I’ll give you 25 points

Answers

The area of a regular hexagon is the 3 times the product of the apothem and side length.

22. 3*(6.1 m)*(7 m) = 128.1 m^2

23. 3*(11.3 in)*(13 in) = 440.7 in^2

24. 3*(9.5 ft)*(11 ft) = 313.5 ft^2

25. The area ratio is the square of the linear dimension ratio: (3/4)^2 = 9/16.

What happens if the correlation coefficient equals 0?

Answers

It means the variables are independent.

The length of the bed is 9 feet and 6 inches. The sheet is made for a bed that is 79 inches. How short is the sheet?

Answers

1 foot = 12 inches
9 * 12 = 108 + 6 = 114 inches ( length of the bed)

114 - 79 = 35 inches too short

Answer:

its 2 feet and 11 inches

Step-by-step explanation:

bottle of a chemical solution that contains 75% alcohol. The bottle contains 500 milliliters of solution. How many milliliters of alcohol are in the solution?

Answers

Multiply 500 times .75 and it equals 375, hope this helps!!

Answer:

500 x 0.7 = 350 I hope it helps

Step-by-step explanation:

The cost of a gallon of gas recently doubled. By what percent did it increase? A) 50% B) 100% C) 150% D) 200%

Answers

Hey there!

If a cost of a gallon recently doubled, then it increased by 50%. This is because half of 100% is 50% and it takes one more 50% to double.

Hope this helps you.
Have a great day!

Answer:

it is 100%

Step-by-step explanation:

i did it on usa test prep

Can someone please help me

Answers

Hey there! :D

So, those both will be equal to 180 degrees. Consecutive angles are supplementary. 

2x-20+3x= 180

5x-20=180

Add 20 to both sides.

5x=200

x= 40

I hope this helps!
~kaikers
2x-20+3x=180
Add like terms
5x-20=180
Add 20 on both sides
5x=200
Divide by 5 on both sides
X=40

A rectangular quilt is 5 feet wide and 7 feet long. How many feet of lace are needed to cover the edges of the quit?

Answers

P=2*(5ft +7 ft)
P=2*12 ft
P=24 ft - is the answer

What is the volume of the cube?




A.


1944 mm3


B.


54 mm3


C.


324 mm3


D.


5832 mm3
PLEASE HELP , I WILL MARK BRAINLIEST ..

Answers

Hi !
The volume of the cube is :
18 × 18 × 18= 5 832 mm³
The answer is D.
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Using symbolic interactionism, explain the behavior and the discrepancy of norms in different settings. Please help!! A paragraph or two would be great!! are the graphs of the lines in the pair parallel? Explain. y = 5x + 6 18x + 3y = 54 If you live in a high-crime area, many of the people you see in the course of a day and possibly get to know may be involved in criminal activities, thus increasing your opportunity to learn criminal behavior. the conceptual context for this phenomenon is known as NEED ANSWERS BEFORE 11 PLEASE HELP OR IM GROUNDED FOR A MONTH!!!1.Which of the following could be true of two different species that have a competitive relationship in the same ecosystem? A.One species preys on the other. B.The relationship is mutually beneficial. C.They share the same niche. 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A.running from predators B.searching for water C.hunting at night D.migrating for warmth*** 12.In the western U.S., ranchers aggressively killed wolves because they posed a threat to their cattle. As the wolf population declined, the deer population began increasing. As a result, the surrounding forest ecosystems experienced increasing damage. The large number of deer ravaged vegetation and destroyed young trees. The entire ecosystem became degraded until wolves became protected when they were determined to be an endangered species. Based on this information, what can you infer about the role of the wolves in this ecosystem? A.They are a pioneer species B.They are a keystone species*** C.They are a prey species D.They are a competitive species 13.Which of the following statements correctly states how human activity and biodiversity affect one another? A.As humans develop land for homes and industry, biodiversity increases B.As humans restrict fishing and oil drilling, biodiversity decreases C.As biodiversity decreases, human land development becomes restricted D.As biodiversity increases, humans receive increased benefits*** (I skipped 5,6, & 7 cause they have pics!! ) Which would be an emotion-focused coping mechanism concerning possible job loss? The right of privacya.is specifically guaranteed by the Constitution.b.was recognized by the Supreme Court in Griswold v. Connecticut, 1965.c.is derived from the police power.d.is inconsistent with the guarantees of due process. what is domain of g(x)= square root plus one Work out the circumference of this circle. Take pi to be 3.142 and give your answer to 1 decimal place The radius is 4cm 1. find the sum of the measures of exterior angles, one at each vertex, of an octagon.a. 180*b. 360* c. 1080*d. 1440* 2. If the sum of the interior angles of a polygon is 900* ( * = degrees) , then how many sides does the polygon have?a. 6b. 7c. 8d. 910. Based on the information given, can you determine that the quadrilateral must be a parallelogram? Explain. 11. The parallelogram has the angle measures shown. Can you conclude that it is a rhombus, rectangle, or a square? Explain. (1) Renee had been very careful about her costume choice. (2) Anne had told her that there would be a prize for the best costume, and Renee wanted to win. (3) Shed decided to dress up as a zombie. (4) Her mother had helped with the makeup, and Renees sister had found a messy wig for her to wear. (5) Renee felt very confident as she rang the doorbell. (6) Renee felt a furious blush spread across her cheeks. (7) All of her excitement, however, disappeared when the door opened and she saw the other party guests. (8) No one else was wearing a costume. Which revision BEST creates effective and appropriate organization for this story? A)Move sentence 3 to follow sentence 4. B)Move sentence 6 to follow sentence 8. C)Move sentence 7 to follow sentence 5. D)Move sentence 8 to follow sentence 1. Why does a blue shirt look blue? Choose the BEST explanation.Question 2 options:The shirt reflects all wavelengths of light.All wavelengths of light are absorbed by the shirt.The shirt absorbs the blue wavelengths.The shirt reflects the blue wavelengths. What number does x stand for in this equation?-7x + 6=27 Which constitutional amendment makes it illegal to institute a poll tax? *?