The manager of a movie theater randomly surveyed 50 people who entered the movie theater on Friday. The manager asked about the
type of movie each person preferred. The results of the survey are shown in the table.
Survey Results
Type of Movie Number of People
Horror
12
Comedy
15
Action
17
Drama
6
Based on the results in the table, which statement about a person who will go to this theater next Friday is true?
O A. The person is three times as likely to prefer comedy as horror.
OB. The person is twice as likely to prefer drama as horror.
o C. The person is less likely to prefer horror or drama than action.
D. The person is more likely to prefer horror or comedy than action or drama.

Answer:

530

Step-by-step explanation:

200+6(55)

6x55=330

200+330=530

Answer:

19

Step-by-step explanation:

f(x) when x=2 is just a fancy way of saying substitute the x in this equation with 2.

so the equation becomes..

3(2)^3-5    ... remeber PEMDAS

3(8)-5

24 -5 =19

Answer:

The answer is x-6

Step-by-step explanation:

x=(whatever number)

less means subtract

So the answer is x-6

Answer:

B is correct!!!!!!!!!   x-6

Step-by-step explanation:

this is correct because when it says 'than' that means the whole answer flips around

Answer:

275

Step-by-step explanation:

110 x 2.5 = 275

If 110 km is one gallon, you would multiply 110 by 2.5, and that's what i did above.

Answer:

3.4 lessons per week

Step-by-step explanation:

If the teacher has to teach 6 chapter in 15 weeks, and each chapter has around 8.5 lessons. it means that the teacher has to teach in 15 weeks a total amount of lessons of 6*8.5= 51.

so 15 weeks---51 lessons

    1 week------x

From the above relation we have= 51/15= 3,4 lessons per week

Answer:

[tex]x=3[/tex]

Step-by-step explanation:

So we have the equation:

[tex]2x+7+2x=19[/tex]

First, let's combine like terms on the left:

[tex](2x+2x)+7=19[/tex]

Add:

[tex]4x+7=19[/tex]

Subtract 7 from both sides:

[tex](4x+7)-7=(19)-7[/tex]

The left side cancels. Subtract on the right:

[tex]4x=12[/tex]

Now, divide both sides by 4:

[tex]\frac{4x}{4}=\frac{12}{4}[/tex]

The left cancels. Divide on the right:

[tex]x=3[/tex]

So, the value of x is 3.

Answer:

X=3

Step-by-step explanation:

2x+2x(=4x)=19-7

4x=12

X=12\4(divide)

x=3

Answer:

I think C

Step-by-step explanation:

It has a whole number as numerator and denominator so it is rational and it is a real number, but it is not an integer because it is a fraction.

Answer:

Rational, and Real numbers.

Step-by-step explanation:

There's a certain overlapping sequence of categorizing:

Whole #, Integers, Rational, Real.

Fractions and decimals belong in Rational, so you could say they are real as well.

Hope this helps! (sorry about it being brief)

Steps to solve:

6x + 6 = 6(x - 1)

~Distribute left side

6x + 6 = 6x - 6

~Subtract 6 to both sides

6x = 6x - 12

~Subtract 6x to both sides

0 = -12

No solutions.

Best of Luck!

Hey there!☺

[tex]Answer:\boxed{\text{There are no solutions.}}[/tex]

[tex]Explanation:[/tex]

[tex]6x+6=6(x-1)[/tex]

6x + 6 = (6)(x) + (6)(-1) Distribute

6x + 6 - 6x = 6x - 6 - 6x Subtract 6x from both sides

6 = -6

6 - 6 = -6 - 6 Subtract 6 from both sides

0 = -12

No solutions.

Hope this helps!

Answer:

20,000

Step-by-step explanation:

Scince 4, (a number lower than 5) is in front of the 3 (which is in the 10,000's place), 20,000 should be the answer.

Answer:

I would choose A

Step-by-step explanation:

I chose A because it's an hypotenuse because of the different sides

Answer:

28

Step-by-step explanation:

Answer:

The perimeter of a square is 128, the area when perimeter 84 is 441

Step-by-step explanation:

When the length of a square arm is l,

the area of a square is A = l^2.

So in your case, A = \sqrt{1024} = l^2

So l is simply, l = 32.

The perimeter of a square is, P = 4.l = 32*4 = 128

Again when the perimeter is, P = 84

l = 84/4 = 21

So then the area is, A = 21^2 = 441

Answer:

One fraction = [tex]\frac{23}{12}[/tex]

Mixed Number = [tex]1\frac{11}{12}[/tex]

Step-by-step explanation:

Since each circle represents one unit,

Sum of all segments of a circle = Circle having 12 segments

If one segment of the circle is removed from one circle,

Remaining parts of the given circles = 12 + 11

Now one  fraction representing the shaded sectors = [tex]\frac{12}{12}+\frac{11}{12}[/tex]

                                                                                       = [tex]\frac{23}{12}[/tex]

Mixed number = [tex]\frac{12}{12}+\frac{11}{12}[/tex]

                        = 1 + [tex]\frac{11}{12}[/tex]

                        = [tex]1\frac{11}{12}[/tex]

Answer:

The points are "(2,2)".

Step-by-step explanation:

Given value:

[tex]f(x,y)=x^3-6xy+y^3+7[/tex]

Finding the first partial derivation which is equal to 0.

[tex]\to f_x(x,y)=3x^2-6y...............(a)\\\\ \to f_y(x,y)=-6x+3y^2...................(b)[/tex]

solve both the above equation by equal to 0.

For equation (a)

[tex]\to 3x^2-6y=0\\\\\to 3x^2=6y\\\\\to x^2=2y\\\\\to y=\frac{x^2}{2}\\\\[/tex]

For equation (b)

[tex]\to -6x+3y^2 =0 \\\\\to 3y^2 =6x\\\\\text{put the value of y in equation b}\\\\\to 3(\frac{x^2}{2})^2 -6x=0\\\\\to \frac{3}{4} x^4 -6x=0\\\\[/tex]

by solving the above value in the form of x we get:

[tex]\to x=0\\ \to x=2\\ \to x= -1 +\sqrt{3} i\\ \to x= -1 -\sqrt{3} i\\[/tex]

by solving the above value in the form of y we get:

[tex]\to y=0\\ \to y=2\\ \to y= -1 +\sqrt{3} i\\ \to y= -1 -\sqrt{3} i\\[/tex]

Solve the value by applying the second derivation method:

[tex]\to f_{xx}(x,y)=6x...............(a1)\\\\ \to f_{yy}(x,y)=6y...................(b2)\\\\\to f_{xy}(x,y)=-6...................(c2)[/tex]

calculating the value of discriminate:

[tex]d=f_{xx}(x,y) f_{yy}(x,y)-[f_{xy}(x,y)]^2[/tex]

The critical point of the given equation will be (2,2)

[tex]d=f_{xx}(2,2) f_{yy}(2,2)-[f_{xy}(2,2)]^2\\\\[/tex]

  [tex]= (6 \times 2) (6 \times 2) -[(-6)^2]\\\\= (12) (12) -[36]\\\\= 144 -36\\\\= 108\\\\[/tex]

Answer:

[tex](2,2)[/tex] is a minimum point of the function [tex]f(x,y).[/tex]

Step-by-step explanation:

[tex]f(x,y)=x^3-6xy+y^3+7[/tex]

Find the partial differentiation w.r.t. [tex]x[/tex] and [tex]y[/tex].

[tex]\frac {\partial f}{\partial x}=3x^2-6y[/tex]

[tex]\frac {\partial f}{\partial y}=-6x+3y^2[/tex]

[tex]\frac {\partial^2 f}{\partial x^2}=6x[/tex]

[tex]\frac {\partial^2 f}{\partial y^2}=6y[/tex]

[tex]\frac{\partial f}{\partial xy}=-6[/tex]

Find the critical points.

[tex]\frac {\partial f}{\partial x}=\frac {\partial f}{\partial y}=0[/tex]

[tex]\Rightarrow 3x^2-6y=0 \;\text{and}\; -6x+3y^2=0[/tex]

[tex]\Rightarrow 6y=3x^2\Rightarrow y=\frac{x^2}2[/tex]

[tex]\Rightarrow -6x+\frac 34 x^4=0\Rightarrow \frac {x^3}4=2[/tex]

[tex]\Rightarrow x^3=8\Rightarrow x=2,y=2[/tex]

Therefore, [tex](2,2)[/tex] is a critical point.

Now, [tex]\frac {\partial^2 f}{\partial x^2}\frac {\partial^2 f}{\partial y^2}-{\frac {\partial f}{\partial xy}}^2[/tex]

[tex]=6x6y-36=36xy-36>0 \;\text{at critical point }\; (2,2)[/tex]

Thus, [tex](2,2)[/tex] is not a saddle point.

[tex]\because \frac{\partial^2 f}{\partial x^2}>0 \; \text{and}\; \frac {\partial^2 f}{\partial x^2}\frac {\partial^2 f}{\partial y^2}-{\frac {\partial f}{\partial xy}}^2>0 \;\text{at point}\; (2,2)[/tex]

Hence, [tex](2,2)[/tex] is a local minimum of a given function.

Answer:

Number of chaperones = 9

Step-by-step explanation:

Given:

Total number of teacher = 2

Total people attend = 54

Find:

Number of chaperones

Computation:

Assume;

Number of chaperones = x

So,

x = [54-x] / 5

5x = 54 - x

6x = 54

x = 9

Number of chaperones = 9

Answer:

9m=49 is the answer of the product of 9 and m is 49

Answer:

32/9

Step-by-step explanation:

Answer: 7/2 or 3  1/2

Step-by-step explanation:

Answer:

Step-by-step explanation:

y - 3 = 0(x - 1)

y - 3 = 0

y = 3

11=5(x-2)+2x

11-2x=5(x-2)

(11-2x) / 5 = x-2

11/5=2.2

2.2-0.4x = x-2

4.2-0.4x=x

4.2=1.4x

x=3

Answer: x = 3

Step-by-step explanation:

5x -10 +2x = 11

7x = 21

x=3

Hope that helps!

Answer:

7/9

Step-by-step explanation:

x = .7

10x = 7.7

10x - x = 7.7 repeating

9x = 7

x = 7/9

Bam

Answer:

7. C. 6

8. H. √34

9. A. (1, 3.5)

10. J. 10

Step-by-step explanation:

7. AB = 2y, BC = 6y, AC = 48

AB + BC = AC (segment addition theorem)

Substitute the above values into the equation

2y + 6y = 48

Solve for y

8y = 48

Divide both sides by 8

8y/8 = 48/8

y = 6

8. Distance between P(2, 8) and Q(5, 3):

[tex] PQ = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

Let,

[tex] P(2, 8) = (x_1, y_1) [/tex]

[tex] Q(5, 3) = (x_2, y_2) [/tex]

[tex] PQ = \sqrt{(5 - 2)^2 + (3 - 8)^2} [/tex]

[tex] PQ = \sqrt{(3)^2 + (-5)^2} [/tex]

[tex] PQ = \sqrt{9 + 25} [/tex]

[tex] PQ = \sqrt{34} [/tex]

9. Midpoint (M) of segment LB, for L(8, 5) and B(-6, 2) is given as:

[tex] M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}) [/tex]

Let [tex] L(8, 5) = (x_1, y_1) [/tex]

[tex] B(-6, 2) = (x_2, y_2) [/tex]

Thus:

[tex] M(\frac{8 + (-6)}{2}, \frac{5 + 2}{2}) [/tex]

[tex] M(\frac{2}{2}, \frac{7}{2}) [/tex]

[tex] M(1, 3.5) [/tex]

10. M = -10, N = -20

Distance between M and N, MN = |-20 - (-10)|

= |-20 + 10| = |-10|

MN = 10

Answer:6

Step-by-step explanation:

Answer:

g(h(6)) = 36

h(g(6)) = 36

Explanation:

There is no difference in this because we're just basically using the commutative property. For g(h(6)), you just plug in 6 for x² which will give you 36. And since g(x) = x, the value of x is 36. In the same way for h(g(6)), g(6) = 6 and h(6) = (6)² therefore getting you 36. For both equations though, you will get the same answer.

Answer:

g(h(6)) = 36

h(g(6)) = 36

Step-by-step explanation:

There is no difference in this because we're just basically using the commutative property. For g(h(6)), you just plug in 6 for x² which will give you 36. And since g(x) = x, the value of x is 36. In the same way for h(g(6)), g(6) = 6 and h(6) = (6)² therefore getting you 36. For both equations though, you will get the same answer.

Answer:

A man walking away from a lamppost with a light source h=8 m above the ground. The man is m= 2 m tall. How long is the man’s shadow when he is d=15 m from the lamppost?

Step-by-step explanation:

2/x=6/(10+x) cross multiply.

6x=2(10+x)

6x=20+2x

6x-2x=20

4x=20

x=20/4

x=5 m. is the length of the man's shadow.

Answer: 0

Step-by-step explanation: Natural numbers are your

counting numbers and they're always positive.

Since 0 is not a positive number,

it's not include within the set of natural numbers.

Answer: 0

Step-by-step explanation:

Answer: 3

Step-by-step explanation:

Answer:

4/6

Step-by-step explanation:

there are three even numbers (3/6) and 3 odd numbers but you are only looking for 5 (1/6) so the answer is 4/6

hopefully this helps you :)

pls mark my answer brainlest I need it ;)