I'll give brainiest. A theater has 384 seats. Each row has 16 seats. The area model represents this situation.What is the value of x in the area model? Enter your answer in the box.​

Answer:

X = 8, y = 8

Step-by-step explanation:

This question is an optimization problem. Two equations are going to be needed here

n = x+y

P = xy

Such that 64 = xy

When we divide through by x we get:

y = 64/x

So that n becomes:

n = x + 64/x

n = x+64x^-1

We take derivative

n' = 1-64x^-2

When n' = 0 then a min|max occurs

0 = 1-64x^-2

Such that:

64/x² = 1

Divide through by x²

64 = x²

x = √64

x = 8

Remember y = 64/x

So,

Y = 64/8

Y = 8.

X = 8, y = 8

Thank you!

Answer:

x=2

Step-by-step explanation:

In order to solve the inequality, first simplify it. -8 (5x -7) can be simplified be distributing. Multiply -8 to each term.

-24 = -40x + 56  now you can solve it start by subtracting 56 on both sides

-80 = -40x now divide -40 on both sides

2=x

I hope this helps :)

have a nice day

Answer:

16 students will not be riding in that van today

Answer:16 students would be left behind or they would have to get another bus with 4 students in one bus

bus 1 =12 kids bus2=12 kids bus 3=4 kids

Step-by-step explanation:

Here is the set up:

Side 1 is 4x.

Side 2 is 5x + 3

Side 3 is 5x + 1

The perimeter is 102.

Perimeter = side 1 + side 2 + side 3

102 = 4x + 5x + 3 + 5x + 1

102 = 14x + 4

Take it from here.

5 is your answer because if you plot these on a graph you would know how many points there are in between them and there are 5

Answer:

600 ÷ 4 = 150

450 ÷ 3 = 150

The same thing either way.

They are considered proportional ratios

Answer:

I think so

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

4x. x=5

4*5 20

Hope this helps hit the crown :D

Answer:

A) [tex]f^{-1}(n)= (n+2)^3[/tex]

Step-by-step explanation:

[tex]f(n) = \sqrt[3]{n} -2[/tex]

[tex]y = \sqrt[3]{n} -2[/tex]

[tex]y = n^{1/3}-2[/tex]

[tex]n = y^{1/3} -2[/tex]

[tex]n + 2 = y^{1/3}[/tex]

[tex]y = (n + 2) ^3[/tex]

[tex]f^{-1}(n) = (n + 2)^3[/tex]

Hope this helps!

Answer:

Option A

Step-by-step explanation:

f(n) =∛n-2

y= ∛n-2

Interchange y and n

n =∛y-2

Subtract -2 on both sides

n+2 = ∛y

both  both sides  to the 3rd power:

(n+2) to the 3rd power = y

Inverse :

f-1(n) =     (n+2) to the 3rd power  (option A)

Answer:

b = 2

Step-by-step explanation:

Since the two lines are parallel, their slope is the same.

Slope = -1

The function: y = -x + b

Plug in the coordinate values to solve for b.

-6 = -8 + b

-6 + 8 = b

2 = b

b = 2

Hi! I believe your answer is 77,435,300.00 Russian Rubles, which is equivalent to 1,000,000 U.S. dollars. I hope this helps you! Good luck and have a great day. ❤️✨

Answer:

76,922,200.00 RUB

Step-by-step explanation:

wow how in the heck did you do that 0-o your rich dude pls explain how u did it T-T

Answer:

sorry

Step-by-step explanation:

fjdskafjksl;fjklads;nvkanrdjknfvjlrcpd

Answer:

(6+7)

2^4

2^2

Step-by-step explanation:

Think of the order of operations or PEMDAS: Parentheses, exponents and roots, multiplication, addition, and subtraction. When solving an equation you use the order of PEMDAS.

Answer:

-19.38

Step-by-step explanation:

E(x)=4,980*1/25000+1,980*2/25,000+980*3/25,000+480*5/25,000+80*10/25,000-20*24,979/25,000

E(x)=0.1992+0.1584+0.1176+0.096+0.032-19.9832

E(x)= -19.38

Answer:

Domain: All real numbers greater than or equal to 1.

Step-by-step explanation:

Answer 1: -14 is not in the domain

Answer 2: 4 is included in the domain

Answer:

always

Step-by-step explanation:

Answer:

y = - 4x + 38

Step-by-step explanation:

A(3, 9)

B(5, 1)

[tex]m_{AB}[/tex] = [tex]\frac{1-9}{5-3}[/tex] = - 4

CD║AB

C(9, 2)

y - 2 = - 4(x - 9)

y = - 4x + 38

Answer:

71

Step-by-step explanation:

yw72wo9838388382828228

log₃(-2 tan(x)) = 1/2

Write both sides as powers of 3, and use the property [tex]b^{\log_ba}=a[/tex]:

[tex]3^{\log_3(-2\tan x)}=3^{\frac12}[/tex]

-2 tan(x) = √3

Then solve for x :

tan(x) = -√3 / 2

x = arctan(-√3 / 2) + nπ

x = -arctan(√3 / 2) + nπ

where n is any integer.

Answer:

its A

Step-by-step explanation:

Answer:

1.L=4;W=3;P=14

2.L=6;W=2;P=16

3.L=12;W=1;P=26

Step-by-step explanation:

because i know

Answer:

1,035,600

Step-by-step explanation:

since the rate sales increased 2.5% per year 8*2.5=20/100=0.2*863,000=172,600 and since we already are earning 863,000 so 863,000+172,600=1,035,600

Answer:

N = 101

p = 0.24

p ( 0.2 ) < p < 0.3

Step-by-step explanation:

Answer:

option A) is correct.

Step-by-step explanation:

As we know that when we reflect across the line [tex]y=-x[/tex], the x-coordinate and y-coordinate would change places and be negated.

So the formula about the reflection across [tex]y=-x[/tex] will be:

(x, y) ⇒ (-y, -x)

From the graph, the vertices of the triangle are:

As the rule of reflection across [tex]y=-x[/tex] will produce the image with the vertices T', U' and V' which are as follows:

(x, y) ⇒ (-y, -x)

So, the vertices of U', T' and V' will be:

Therefore, option A) is correct.

Answer:

3 - 3 = 0 units There is no distance, the points are in the same place.

Step-by-step explanation:

its good to know if a number is positive or negative because something as simple as forgetting the signs such as - + could drastically change your answer

Answer:

15

Step-by-step explanation:

15x2 = 30

30+25 = 55

Answer:

Step-by-step explanation:

Note all operations:

Create an equation, and make the unknown number be x. 25 is added to x multiplied by 2, which, in all, equals 55:

[tex]2x+25=55[/tex]

Now solve for x. Subtract 25 from both sides:

[tex]2x+25-25=55-25\\\\2x=30[/tex]

Divide both sides by 2:

[tex]\frac{2x}{2}=\frac{30}{2} \\\\x=15[/tex]

The number is equal to 15.

:Done

CHECK:

Insert the value of x to see if it is true:

[tex]2(15)+25=55\\\\30+25=55\\\\55=55[/tex]

This is true, so the value of x is also true.