A new theater is being built for the city ballet. The balcony has 200 seats. The floor has 10 rows with x seats in each row. The number of people in the theater must be under 500 to meet fire safety regulations. What is the solution of this inequality, and what is it’s meaning?

A. 10x + 200 > 500; the new theater must have more than 30 seats in each row on the floor to meet fire safety regulations.

B. 10x + 200 < 500; the new theater must have fewer than 30 seats in each row on the floor to meet fire safety regulations.

C. 10x > 500; the new theater must have more than 50 seats in each row on the floor to meet fire safety regulations.

D. 10x < 500; the new theater must have fewer than 50 seats in each row on the floor to meet fire safety regulations.

Answers

Answer 1

Answer:

B

Step-by-step explanation:

Because I got it right


Related Questions

common factors of 128 and 192

Answers

Answer:

The greatest common factor of 128 and 192 is 64, because 64 is the highest number that is divisible by both numbers.

The greatest common factor of 128 and 192 is 64 because 64 is the highest number that is divisible by both numbers.

What is the greatest common factor?

The greatest common factor is the largest positive number which can be divided into given numbers evenly.

In mathematics, the largest positive integer that divides each of the integers is known as the greatest common divisor of two or more integers that are not all equal to zero. The greatest common divisor of two integers is x and y.

Given that the two numbers are 128 and 192. The greatest common factor is the largest number which is divided into both numbers.

128 = 2 x 2 x 2 x 2 x 2 x 2 x 2

192 = 2 x 2 x 2 x 2 x 2 x 2 x 3

The greatest common factor is,

GCF =  2 x 2 x 2 x 2 x 2 x 2

GCF = 64

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Consider Z1 = 4 - 4 sqrt3i and Z2 =-16i what is z1 - z2

Answers

Answer:

option C

Step-by-step explanation:

got it right on edge 2020

The expression Z₁ -Z₂ is 4 - (4√3 -16)i.

What is subtraction?

Subtraction is mathematic operation. Which is used to remove terms or objects in expression.

The given expression Z₁ = 4 - 4√3i.

And Z₂ = -16i

Subtract Z₂ to Z₁:

Z₁ -Z₂

=  4 - 4√3i - (-16i)

=  4 - (4√3 -16)i.

Therefore,  Z₁ -Z₂ is 4 - (4√3 -16)i.

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what is (4 x 103)(7 x 105).

Answers

Answer:

302,820

Step-by-step explanation:

(4 x 103) x (7 x 105)

412 x 735

302,820

PLEASE HELP!!!
Find the rate of change of the linear function
shown in the graph. Then find the initial value.

Answers

Answer:

4 ; Initial value is (- 1)

Step-by-step explanation:

The rate of change of a linear function is slope of the line.

m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

(0, - 1)

(1, 3)

m = [tex]\frac{-1-3}{0-1}[/tex] = 4

Initial value is - 1

y = 4x - 1

The equation of the graph is y = 4x - 1 with a rate of change of 4. The initial value of the function is y = -1.

What is the rate of change?

The rate of change is the change of a quantity over 1 unit of another quantity.

Most of the time the rate of change is the change with respect to time.

As per the given graph,

The rate of change or slope of a function is the ratio of the difference of y's and x's coordinates.

Therefore, let's consider two points (0,-1) and  (1,3)

Slope = (3 - (-1))/(1 - 0)

Slope = 4

The y-intercept is -1 so the equation will be y = 4x - 1.

The initial value of function at x = 0 is y = 4(0) - 1 = -1.

Hence "The equation of the graph is y = 4x - 1 with a rate of change of 4. The initial value of the function is y = -1".

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If a" = 6", then n logax = m logb x
.​

Answers

Answer:

If students understand the basic proof on general laws of logarithm then it will be easie. ... loga (MN) = x + y = loga M + loga N [putting the values of x and y] ... a on both sides of the change of base rule formula [loga M = logb M × loga

Step-by-step explanation:

yall i think i got this wrong

even if it is to anyone who needs it just copy it lol

Can you guys help i’m kinda struggling

Answers

Answer:

72 degrees

Step-by-step explanation:

Triangle is similar to LMN which is isosceles

< LKJ =  < KJL

help asappp!!! correct answer pleas :)​

Answers

Answer: y = 3x + 4

Explanation: The slope is positive 3x and the y-intercept is +4 therefore the equation is y = 3x + 4 in y = mx + b form.

(mx is for slope, b is for y-intercept)

Hope this helps :)

what is the solution to this inequality
[tex]15 + x \leqslant = 24[/tex]
A-
[tex]x \geqslant 39[/tex]

B-
[tex]x \geqslant 9[/tex]

C-
[tex]x \leqslant 39[/tex]

D-
[tex]x \leqslant 9[/tex]

Answers

Your answer is D :))
I think maybe D. Not sure though

If you have $20 would you be able to buy something that costs 20.25

Answers

Answer:

Umm, no

Step-by-step explanation:

Answer:

No, that is definitely impossible.

Step-by-step explanation:

The only way you would be able to afford something that costs more than what you have, is by applying a coupon or getting it on sale. If you're online shopping, I recommend using something such as Honey, the extension.

Tony’s taxi had a rate chart posted on the side of each cab. Distance charge: 1 mile- $3.50 2 miles- $5.50 4 miles- $9.50

Answers

Answer:c=2m+1.50

Step-by-step explanation:

If you plug in each mile for M that’s how you get the answer .

I NEED HELP ON THIS PLEASE

Answers

Answer:

m<5 = 120* because <5 and 120* are corresponding angles

Step-by-step explanation:

PLEASE HELP ANSWER BOTH QUESTIONS!!!

Answers

Answer:

1. C. Rotation

-The rectangle rotated clockwise

2. A. Translation

-The shape moved  but it didn't change its appearance in any other way, which concludes to your answer "translation"

Answer:

1) C

2) B

Step-by-step explanation:

1) they rotated the rectangle

2) you see the reflection

Can anyone help me plz

Answers

Answer:

14, 1352, 36.8, 50.8, 50.8

Step-by-step explanation:

We get 14 by looking at the other measurement of the triangle that was given to us. We add the two values of 196 and 1156 to find the value of c^2.To find c, we would have to take the square root of c^2 (aka 1352), which will give us 36.8. The next blank is simple, you would just add 36.8 + 14 to get 50.8 just like it is shown in the problemWrite the same answer into the last blank.

Hope this helped!

Write the equation of the line parallel to y=3x-2 that passes through (3, 2) in point-slope form

Answers

Substitute the x and y values from (3,2).

Formula: y=mx+b

2= 3(3)+b
2-9= -7

y=3x-7

A line with a slope of -2 passes through the point (3-1). Which of the following is the equation of the line? (1) y=3x-2 (3) y=-2x + 5 (2) y = -4x-2 (4) y=-2x+1​

Answers

Answer:

y=-2x-1

Step-by-step explanation:

Idk im confused ugh!!!!

Answers

Answer:

with what

Step-by-step explanation:

A certain type of bacteria doubles every 4 hours. If you started with 37 bacteria, how many would you have after 12 hours?

Answers

Answer:

85 bacteria

Step-by-step explanation:

y=4x+37

4(12)+37 = 85 bacteria

Answer:

y=a * b^x

a=original number

b=rate of increase

x=time

There are 3 four hour periods in 12 hours (12/4=3)

a=37

b=2

x=3

37x2^3

37x8

296

PLZ HELP ASP 25 Points
Identify each of the following situations or equations as proportional or non-proportional and explain your
reasoning.
(a) The total cost of rent is determined by recording x months of rent at $1400 per month, plus a $150
application fee

Answers

Answer:

it is proportional

Step-by-step explanation:

if you plug it in a graph the equation would be y = 1400x + 150

where y is the total cost of rent x is the unknown amount of months 1400 is how much it is a month and the 150 is the extra fee

Factor.
2m2 + 7m - 9

Answers

Answer:

4.500

Step-by-step explanation:

What is the slope of the line that contain
the points (2, 1) and (-3, 4)?

Answers

-3/5 :)

Y2-Y1/X2-X1= slope

4-1/-3-2= 3/-5 so the slope is -3/5 :) .

hope this helped, goodluck <3

PLEASE HELP ASAP!!! If ABCD is a rectangle and m

Answers

Answer:

C = 94

Step-by-step explanation:

Say the centre point is Y, then the triangle BCY is an isosceles, therefore angle BCY = angle CBY

So the base points of that triangle are both 47, to find the angle of BYC, you just do:

180 - 47 - 47 = 86

and then since x is on a line with 86, and angles on a straight line add up to 180:

180 - 86 = 94

answer is 94 degrees

Answer:

94

Step-by-step explanation:

Trapezoid ABCD has the following coordinates-A (2, 8), B (6, 8), C (8, 3), and D (1, 3). What are the coordinates of trapezoid A'B'C'D' after a translation of 3 units right and 4 units down?

Answers

Answer: A' ( -1,4) , B' (-4,4), C'(  -5 ,-1), D'( -1,-5)

Im not 100% sure its correct, its hard without an image or a picture of the problem

Step-by-step explanation:

PLease help
The most important reason to have a nutritious breakfast the morning of a test is to ensure that

hunger is not a distraction during the test.
the brain performs at its optimum level.
vitamins and minerals can give energy.
the body has energy to help memory.

Answers

Answer:

the brain performs at its optimum level

Step-by-step explanation:

answer on edg 2020

The brain performs at its optimum level. Option B is correct.

Given that,
Complete the statement by choosing the appropriate option.

What is nutrition?

A healthy and balanced diet is what nutrition is all about. Food and drink supply the energy and nutrients required for good health. Understanding this nutrition terminology may help you make smarter meal choices.

Here,
The most crucial reason to have a nutritious meal the morning of a test is to guarantee that the brain operates at peak performance. So, the correct statment among the option is "the brain performs at its optimum level.."

Thus, the most important reason to have a nutritious breakfast on the morning of a test is to ensure that the brain performs at its optimum level.

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What are the coordinates of the image of P(-2,5)
after a clockwise rotation of 90° about the origin?

Answers

Answer:

5,2

Step-by-step explanation:

Clockwise rotations for 90 is

The preimage of (x,y), or for this problem, (-2,5) into (y,-x).

So, a clockwise rotation is from x,y into y,-x

So we do -2,5 into 5,2

We flipped the x and y, and the 2 became positive because two negatives equal a positive

When a point is rotated, it must be rotated through a point.

The image of P is: (5,2)

The point is given as:

[tex]\mathbf{P = (-2,5)}[/tex]

The rule of 90 degrees clockwise rotation is:

[tex]\mathbf{(x, y) \to (y, -x)}[/tex]

So, we have:

[tex]\mathbf{(-2, 5) \to (5, 2)}[/tex]

This gives:

[tex]\mathbf{P' = (5, 2)}[/tex]

Hence, the image of P is: (5,2)

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A forest covers 71,000 acres. A survey finds that ​0.3% of the forest is​ old-growth trees. How many acres of​ old-growth trees are​ there?

Answers

Answer:

213 acres

Step-by-step explanation:

The mass of a bowling ball is 13 pounds and the volume is 102 in? What is its density? Round to the nearest hundredth.​

Answers

Answer:

To the nearest hundredth, the density is 0.13 pounds per in^3

Step-by-step explanation:

Mathematically;

density = mass/volume

Thus;

density = 13 pounds/ 102 in^3

density = 0.1275

To the nearest hundredth, this is 0.13 pounds per in^3

Find the measure of the angle indicated.

Answer choices.
A(128
B(101
C(110
D(70

Answers

The answer is C. 110 because you add the two numbers inside the triangle:)

Answer:

128

Step-by-step explanation:

sorry if no correct

What is An interior angle of a polygon that is not adjacent to the exterior angle

Answers

Answer:

remote interior angle

Step-by-step explanation:

PLEASE HELP MEEEEEE
If the second term in a geometric sequence is -8 and the common ratio is 2, what is the value of the third term?
-10
-6
-16
-4

Answers

Answer:

I believe the answer is -4!

Step-by-step explanation:

Have a great day!!!!!!!!!!!!!

Answer:

-16

Step-by-step explanation:

-8*2=16

A peach weighs 65 grams. If you buy 10 peaches and they sell for $5.50 per kilogram, how much will they cost? Please helpppppp!!!!!! This is due in 10 minutes with expiation pleasee thank you

Answers

Answer:

$3.57 per kilogram

Step-by-step explanation:

65 grams = 0.065 kilograms = weight of a single peach

0.65 = weight of 10 peaches

0.65 x $5.50 = cost of 10 peaches = 3.575

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