An auditorium has rows of seats with a seats in each row Kayla
knows there are at least 70 seats but fewer than 156 seats in the
auditorium. How many rows of seats can there be in the auditorium
Use Exercises 1-a to answer the question
1. Explain how you would find the least possible number of rowe
in the auditorium
2. How would you find all the possible numbers of rows, without
having to check if & is a factor of every number between
70 and 1507
3. Name all the possible numbers of rows in the auditorium,

Answer

(180,120)

Cannot be determined

Step-by-step explanation:

Fax

The critical point with the maximum revenue is at (180,120)

The objective function is given as:

Revenue = 75x+85y

The critical points are (0,0) (180,120) (300,0)

Substitute these points in the objective function.

Revenue = 75(0)+ 85(0) = 0

Revenue = 75(180)+ 85(120) = 23700

Revenue = 75(300)+ 85(0) = 22500

The maximum revenue is 23700.

Hence, the maximum revenue is at point (180,120)

Read more about objective function at:

https://brainly.com/question/16826001

Answer:

2,3

Step-by-step explanation:

Answer: (2,3)

Step-by-step explanation:

add the two x’s and divide them then do the same with your y’s.

Answer:

24 oz

Step-by-step explanation:

16 oz to a pound

16 x 1.5 = 24 oz

Answer:

24 ounces

Step-by-step explanation: One pound equal 16 ounce plus a half a pound which is 8 equals 24

Answer:

16

Step-by-step explanation:

2^4 is the same thing as 2*2*2*2*2. 2 times 2 is 4, times 2 is 8, times 2 again is 16.

Answer:

4 and 5 not functions 6 function

Step-by-step explanation:

In a function, each x value can only have one y value. To test this, you can try the vertical line test. Put a vertical line on the function; if it touches only one point the graph is a function. For graph 4, the x value of 3 has y values of 1 and 4 so it is not a function. For graph 5, the x values of 1 and 5 have many y values so the graph isn't a function. For graph 6, each x value has only one y value so it is a function.

Answer:

4. Not a function

5. Not a function

6. Function

Step-by-step explanation:

1 -3 (correct!)

Functions do NOT have repeating x-values. Hence why you were able to determine if # 1-3 are fuctions or not.

4. Not a fuction:

(1, 2)

(2, 3)

(3, 1)

(3, 4)

As we can see, both points have the same x-values. Therefore, not a function.

5. Using our knowledge about functions, we can quickly tell that this graph is NOT a fuction.

There are many points that fall under the same x-value.

6. Function:

(1, 2)

(2, 2)

(3, 3)

(4, 4)

No repeating x-values. Therefore, a function.

Hope this helps!

I think that's it, Hope this helps!!!!!!

Answer:

x = -2

Step-by-step explanation:

4x + 5y = 7
4x + 5 (3x + 9) = 7
4x + 15x + 45 = 7
19x + 45 = 7
19x = -38
x = -2

Answer:

3

Step-by-step explanation:

8x-6>12+2x

-2x            -2x

_______________

6x-6 >12

   +6    +6

____________

6x > 18

/6      /6

____________

x > 3  

Hope this helps :)

The solution to the inequality  8x - 6 > 12 + 2x is, 3.

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

Given, An inequality 8x - 6 > 12 + 2x.

Separating the variable and constants to the other sides we have,

8x - 2x > 12 + 6.

6x > 18.

x > 3.

learn more about inequalities here :

https://brainly.com/question/30231190

#SPJ7

Work Shown:

[tex](x-5)^2+2=11\\\\(x-5)^2=11-2\\\\(x-5)^2=9\\\\x-5=\pm\sqrt{9}\\\\x-5=\pm3\\\\x=5\pm3\\\\x=5+3 \text{ or } x = 5-3\\\\x=8 \text{ or } x = 2\\\\[/tex]

Explanation:

On the die, the divisors or factors of 20 are: 1, 2, 4, 5

We have 4 faces we want out of 6 faces total

So 4/6 = 2/3 is the probability of getting a divisor of 20.

Answer:

H(d) = 0.3d + 12

Step-by-step explanation:

It started at 12 inches.

Then it grew 0.3 inches per day.

Let d = number of days.

The growth is 0.3 d.

Add the growth to the original length, to get 0.3d + 12.

Answer: H(d) = 0.3d + 12

Answer:

45%

Step-by-step explanation:

Since he drove 54 miles out of 120 in the first hour, the equation for this would be 54/120×100. This equals 45 and that is the percentage

Answer:

100 DEGREES

Step-by-step explanation:

Supplementary means they add to 180 degrees

4x + 5x = 180

x = 20

smaller angle  4 (20) = 80

 learger angle 5 (200 = 100

ANSWER: p^2 - 2p + 2

Step-by-step explanation:

Total age of three = p + p-2 + (p-2)^2

= 2p-2 + p^2-4p+4

= p^2 - 2p + 2

Answer: First Option is correct.

Step-by-step explanation:

Since we have given that

\begin{gathered}f(x)=-x+1,x < 0\\\\f(x)=x+1,x\geq 0\end{gathered}

f(x)=−x+1,x<0

f(x)=x+1,x≥0

If we let f(x)=y

then, y=x+1 and y=-x+1

Put x=0,

\begin{gathered}y=0+1\\\\y=1\end{gathered}

y=0+1

y=1

so, there must be coordinate on y -axis at 1.

and it must take Ist and II nd quadrant .

Hence, First Option is correct.

Answer:

9 meters

Step-by-step explanation:

just find the square root of 81 and it gives you the number 9

Answer:

area of rect = 8/9

Step-by-step explanation:

Area of rect.= (L*W)

Area = (4/9) (2)

Area = (4/9) (2/1)

Area = 8/9

Answer:

8/9 feet

Step-by-step explanation:

Area=l*w

4/9ft*2ft

4/9*2/1=8/9ft

Check the picture below.

now, the Range and Domain are both assuming the lines goes no further, keeping in mind that most lines go to infinity.

the x-intercepts are just where the graph intersects or touches the x-axis.

the y-intercepts are just where the graph intersects or touches the y-axis.

vertex is simply where it makes the U-turn, and axis of symmetry is simply most of the time the x-coordinate of the vertex, of namely the line where the graph begins making a mirror image.

Answer:

254.3 mm^2

Step-by-step explanation:

Area of a circle: A = π*r^2

π (pi) = 3.14

r (radius) = 9 mm

Substitute 3.14 for pi and 9 for radius:

A = π*r^2

A = 3.14*9^2

A = 3.14*81

A = 254.34 mm^2

Round to the nearest tenth:

254.34 ==> 254.3

Therefore, our final answer is 254.3 mm^2

Hope this helps!

Answer:

I would say likely.

Step-by-step explanation:

I hope this helps.

[tex]\dfrac{7^{12} \cdot 7^9}{\left(7^6 \right)^3}\\\\\\=\dfrac{7^{12+9}}{7^{18}}\\\\\\=\dfrac{7^{21}}{7^{18}}\\\\\\=7^{21-18}\\\\\\=7^3\\\\\\=343[/tex]

Answer:

342.9385905398

I’m too lazy to put in any more so ya

Step-by-step explanation:

We solve the top first.

7^12 x 7^9

13,841,287,201 x 40,353,607

558,545,864,083,284,007

The bottom is (7^6)^3

(7^6)^3

(7^18)

1,628,413,597,910,449

558,445,864,083,284,007 divided by 1,628,413,597,910,449

342.9385905398

I’m too lazy to put in any more so ya

Answer:

slope = - 7/3

Step-by-step explanation:

Slope of a line = m

 perpindicular slope = - 1/m

-1 / ( 3/7) = - 7/3

Answer:

the surface area of the prism is equal to 202 m^2

Step-by-step explanation:

The surface area of the prism is equal to

SA=2B+Ph

where

B is the area of the base

P is the perimeter of the base

h is the height of the prism

Find the area of the base B

B=LW=4*5=20m^2

Find the perimeter of the base P

P = 2(L+W) = 2 (4+5) = 18 m

Find the surface area ----> 

SA = 2B + Ph = 2(20) + 18(9) = 202 m^2

btw m^2 is stand for square meter, also called the meter squared! (just if ur wondering)

Answer:

1. Acute, because it is less than 90 degrees or less than a right angle.

2. that is obtuse because it is bigger than 90 degrees

3. acute, because it is less than 90 degrees.

Answer:

1. Acute 2. Obtuse 3. Acute

Step-by-step explanation:

1 and 3's angles are smaller than 90 degrees. 2 is obtuse because its angle is larger than 90 degrees.

Answer:

4/3

Step-by-step explanation:

f(2) = (-2*2)^2 / (7(2))-4)

f(2) = (-4)^2 / 14-4

f(2) = 16 / 12

f(2) = 4 / 3

Answer:

B. 86.625

Step-by-step explanation:

To find the volume of a shape the formula is this, length x width x height. 5.5 x 4.5 x 3.5 = 86.625.

Answer:

8(a+4)=8a+32

Step-by-step explanation:

Answer:

72 + 12x

Step-by-step explanation:

Use Distributive proeprty: a*(b +c)= (a*b) + (a*c)

Here, a = 12 ; b = 6 & c = x

12( 6 + x) = 12*6 + 12*x

               = 72 + 12x

Answer:

If 50.24cm = Circumference

Radius = 8cm

If 50.24cm^2 = Area

Radius = 4cm

Step-by-step explanation:

50.24cm what? Circumference? Area?

π = 3.14

2πr = Circumference

50.24 / 2π = r

r = 8

πr^2 = Area

50.24 / π = r^2

r^2 = 16

r = 4