A theatre has seats arranged in rows of 24, three hundred eighty -two(382) people attend a show at the theatre. What is the smallest number of rows that is needed to seat these people?

Answer:

[tex] x < - \frac{11}{2} [/tex]

Step-by-step explanation:

Distribute 2 through the parentheses:

[tex]8x + 2 < 3(2x - 3)[/tex]

Distribute 3 through the parentheses:

[tex]8x + 2 < 6x - 9[/tex]

Move the variable to the left-hand side and change its sign:

[tex]8x + 2 - 6x < - 9[/tex]

Move the constant to the right-hand side and change its sign:

[tex]8x - 6x < - 9 - 2[/tex]

Collect like terms:

[tex]2x < - 9 - 2[/tex]

Calculate the difference:

[tex]2x < - 11[/tex]

Divide both sides of the inequality by 2:

[tex]x < - \frac{11}{2} [/tex]

Answer:

the third choice

Step-by-step explanation:

I haven't done those questions in a long time so I would double check. But I think its choice C because 0 has two functions, and I'm pretty sure that a number can only have 1 output, therefore C is not a function..

Answer:

56.52

Step-by-step explanation:

2x3.14 for circle x 9 height

Answer:

12pi

Step-by-step explanation:

Use the equation for volume:

pi(r^2)*h/3

pi*(2^2)*(9/3)

pi*4*3

12pi

Answer:

I think the answer is B because I've come across these kind of question and they add up to 180.

Answer:

9x - 1

Step-by-step explanation:

A triangle is a three-sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees

Area of a triangle = 1/2 x base x height

the perimeter of a triangle = sum of the side lengths

missing length = perimeter - sum of the two sides

sum of the two sides = (5x -1) + (2x + 5) = 7x + 4

missing length = 16x + 3 - (7x + 4) = 9x-1

Answer:

the picture go to be 1/4 more smaler

Step-by-step explanation:

Answer:

Step-by-step explanation:

Using the distance formula, d = (x2 - x1)2 + (y2 - y1)2 we can find that each side is 5 units and there are 6 sides. The perimeter is 5×6 = 30 units.

slope of line is 2 comparing equation y= mx+c where m is your slope

Answer:

- 1

Step-by-step explanation:

SLOPE/Y-INTECEPT EQUATION

y = mx + b

The "b" is the slope. Any number that is not multiplied by "x" and is not "y" is the slope.

y = 2x - 1

Since the "-1" is not multiplied by "x" and is not "y", then that means it can only be the slope.

Answer:

{21.75, 43.50, 65.25,87,108.75,130.50}

Step-by-step explanation:

Answer:

1, 2, 3

Step-by-step explanation:

X <= 20 means that x has to be less than OR equal to 20.

The first option is -100. That's less than 20, so this statement is true.

The second option is 10. That's also less than 20, so this statement is also true.

The third option is 20. This is equal to 20, so this is also true.

The fourth option is 21, which is greater than 20, so it's not true.

The fifth option is 45, which is greater than 20, so it's not true.

Sorry I answered so late, hope this helps even though you probably don't need it anymore.

Answer: 14x^2-93xy+60y^2 Hope that helps!

Step-by-step explanation:

1. Expand by distributing terms

(20x-12y)(x-4y)-(3x-4y)(2x+3y)

2. Use the Foil method:(a+b)(c+d)= ac+ad+bc+bd

20x^2-80xy-12yx+48y^2-(3x-4y)(2x+3y)

3. Use the Foil method : (a+b)(c+d)= ac+ad+bc+bd

20x^2-80xy-12yx+48y^2-(6x^2+9xy-8yx-12y^2)

4. Remove parentheses 20x^2-80xy-12yx+48y^2-6x^2-9xy+ 8yx+12y^2

5. Collect like terms (20x^2-6x^2)+(-80xy-12xy-9xy+8xy)+(48y^2+12y^2)

6. Simplify.

And your answer would be 14x^2-93xy+60y^2

Answer:

Hello! answer: -6

4 ÷ 2 = 2 5 - 8 = -3

2(-3) = -6 therefore the answer is -6 hope that helps!

Answer:

0.26

Step-by-step explanation:

A (x , y), radius of circle = 1

y/radius = y/1 = sin 15°

y = 0.26

Answer:

sin 165..........

Step-by-step explanation:

Answer:

yess it is by the benefactor

Step-by-step explanation:

If Tony Stark could somehow add a 10% increase in his wealth to his current worth each year then the number of years will be 84 to reach T'Challa.

Exponential notation is a type of mathematical shorthand that allows us to express complex statements in a more concise manner. The basis of an exponent is a quantity or letter. It denotes that the base will rise to a specific level of strength. The base is X, and the power is n.

In Marvel comics, T'Challa (aka The Black Panther) as the king of Wakanda is estimated to be worth 90 trillion dollars.

Tony Stark (aka Iron Man) is only worth about 30 billion dollars.

If Tony Stark could somehow add a 10% increase in his wealth to his current worth each year.

Let t be a number of the years.

Then the equation is given as

[tex]\rm 9 \times 10^{13} = 3 \times 10^{10} \times (1.10)^t[/tex]

Then the value of t will be

[tex]\rm 3000= (1.10)^t\\[/tex]

Taking log both sides, we have

t (ln 1.1) = ln 3000

         t = 84

More about the exponent link is given below.

https://brainly.com/question/5497425

#SPJ1

Answer:

See attachment for grid

Step-by-step explanation:

Given

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

[tex](x_2,y_2) = (2,8)[/tex]

Required

Plot the points on a grid

To do this, we make use of a graph (there are several resources to do that online).

See attachment for plot

Answer:

5/12

Step-by-step explanation:

Given

Fraction of punch that is pineapple juice = 1/4

Fraction of punch that is orange = 1/6

Taking the sum;

fraction of the punch that is pineapple juice or orange juice = 1/4 + 1/6

fraction of the punch that is pineapple juice or orange juice = 3+2/12

fraction of the punch that is pineapple juice or orange juice = 5/12

Hence the fraction of the punch that is pineapple juice or orange juice is 5/12

Answer:

Step-by-step explanation:

Solution

Order of operations

Answer:for points

Step-by-step explanation:

Hsjsnsns.

Answer:

Disagree

Step-by-step explanation:

The surface area of the given prism consists of the following parts;

1) The area of the top and bottom right triangles, A₁, and A₂, which are given as follows;

A₁ = A₂ =  (1/2) × 5 × 12 = 30

2) The area of the left rectangle, A₃ = 5 × 8 = 40

3) The area of the rear rectangle, A₄ = 13 × 8 = 104

4) The area of the front rectangle, A₅ = 12 × 8 = 96

∴ A = A₁ + A₂ + A₃ + A₄ + A₅

A = 30 + 40 + 104 + 96 + 30 = 300

Jim B 65 + 65 + 104 + 96 + 40 = 370

The surface area of the triangular prism, A = 300 cm²

Jim-Bob's calculation contains two errors

1) 65 + 65 + 104 + 96 + 40 = 370 ≠ 270

2) The area surface area of the triangular prism = 300 cm² not 270 cm²  

and therefore, disagree with his calculation.

Answer:

125.6 cubic inches

Step-by-step explanation:

The formula for volume of a cylinder is:

[tex]V = \pi r^2h[/tex]

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

So:

[tex]\pi[/tex] × 4 × 10 = 125.6

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Have a good day :)

Answer:

x = 49 mi/hr

y = 6 mi/hr

Step-by-step explanation:

A motorboat travels 258mi in 6 hours going upstream. It travels 330mi going downstream in same amount of time. What's the rate of the boat in still water and what is the rate of the current.

Let

x = the speed of the boat in still water.

y = the speed of the stream

The speed upstream is x - y

The speed downstream is x + y

Distance = rate × time

258 = (x - y)6 (1)

330 = (x + y)6 (2)

From (1)

x - y = 43 (3)

From (2)

x + y = 55 (4)

x - y = 43 (3)

x + y = 55 (4)

Add the equations to eliminate y

x + x = 43 + 55

2x = 98

x = 98/2

x = 49 mi/hr

Substitute x = 49 into (4)

x + y = 55 (4)

49 + y = 55

y = 55 - 49

y = 6 mi/hr

Answer:

4(2x+3)

Step-by-step explanation:

Because 4 is the GCF

Answer: x = 46

Step-by-step explanation: 20 + (5 + 7) = x - 14, 20 + (12) = x - 14

Answer:

[tex]x=46[/tex]

Step-by-step explanation:

[tex]20 + (5+7)=x-14[/tex]

[tex]20+12=x-14[/tex]

[tex]32=x-14[/tex]

Take [tex]x-14[/tex] on the other side of the 'equal to' sign and 32 on the other side so that the variable remains on the right side

[tex]x-14=32\\[/tex]

[tex]x=32+14[/tex]

[tex]x=46[/tex]

Answer:

-1 & -2

Step-by-step explanation:

x²+3x+2

x²+2x+x+2

(x²+2x)+(x+2)

x(x+2)+1(x+2)

(x+1)(x+2)

Answer:

[tex]\frac{1}{70}[/tex]

Step-by-step explanation:

P(gold) = [tex]\frac{gold}{total}[/tex] = [tex]\frac{5}{350}[/tex] = [tex]\frac{1}{70}[/tex]