Question 8 of 25
A new auditorium is being built for a college. The balcony has 400 seats. The
floor has 50 rows with x seats in each row. The number of people in the
auditorium must be under 1300 to meet safety regulations.
What is the solution of this inequality, and what is its, meaning?
O A. 50x< 1300; The new auditorium must have fewer than 26 seats in
each row on the floor to meet fire safety regulations.
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Answers

Answer 1

Inequalities help us to compare two unequal expressions. The number of seats in each row on the floor must be less than 18.

What are inequalities?

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.

Given the balcony has 400 seats, and the floor has 50 rows with each row having x number of seats. Therefore, the number of seats on the floor will be,

Number of seats on floor = 50 × x = 50x

Since the total number of seats in the auditorium should be less than 1300, therefore, the inequality can be written as,

Number of seats in balcony + Number of seats on floor < 1300

400 + 50x < 1300

50x < 1300-400

50x < 900

x < 18

Hence, the number of seats in each row on the floor must be less than 18.

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Related Questions

Fiona can type 60 words a minute.
How many words can be typed in 10.5 minutes?

Answers

Answer:

630 word

10.5 minute: 10×60+0.5×60=600+30=630 second

60 word 60second

? word 630 second

?=630

Step-by-step explanation:

630 words !?! Because 10.5×60=630

Please someone help me with this

Answers

Answer:Around 14.7 minutes

Step-by-step explanation:

if q= the amount of time, and p=18 you do 12*18 is 216 and radical 216 is 14.6969, (nice). Please let me know if i am inncorrect i am not 100% sure.

a steel drum is shaped like a cylinder and it has a height of 3 feet and a base radius of one what is the volume of the steel drum in cubic feet

Answers

If the height of the cylinder is 3 feet and the base radius of the cylinder is 1 foot. Then the volume of the cylinder will be 9.43 cubic feet.

What is a cylinder?

A cylinder is a closed solid with two parallel circular bases and a curving surface connecting them.

A steel drum is shaped like a cylinder and it has a height of 3 feet and a base radius of one.

Then the volume of the cylinder will be

The volume of the cylinder is given as

Volume = πr²h

where r is the radius and h is the height of the cylinder.

We have

h = 3 ft

r = 1 ft

Then the volume of the cylinder will be

Volume = π x 1² x 3

Volume = π x 3

Volume = 9.4247

Volume ≅ 9.43 cubic ft

Then the volume of the cylinder will be 9.43 cubic feet.

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if sin x =cos 60° what is the value of x

Answers

Answer: 30°

Step-by-step explanation:
Sin 30° = cos 60° = 1/2.

Grace is considering purchasing a phone plan. The phone plan
costs $20 per month plus ten cents for each text message sent.
Write and solve an equation to determine how many text
messages were sent if her monthly bill totals $41.10. (5 points - 1
for defining a variable, 1 for correct equation, 1 for work, 1
for answer, 1 for label)

Answers

Answer:

211 text messages

Step-by-step explanation:

20+(m•0.10)=41.10

41.1-20=21.1÷0.1=211

Pls help me this is hard!!

Answers

Answer:

27.5

Step-by-step explanation:

<DAC is an inscribed angle that subtends a half circle, so m<DAC = 90°.

Triangle DAC is a right triangle.

CD = 30

AD = 12

(AC)² + (AD)² = (CD)²

(AC)² + 144 = 900

AC = √756

AC = 27.5

What is the difference? startfraction 2 x 5 over x squared minus 3 x endfraction minus startfraction 3 x 5 over x cubed minus 9 x endfraction minus startfraction x 1 over x squared minus 9 endfraction startfraction (x 5) (x 2) over x cubed minus 9 x endfraction startfraction (x 5) (x 4) over x cubed minus 9 x endfraction startfraction negative 2 x 11 over x cubed minus 12 x minus 9 endfraction startfraction 3 (x 2) over x squared minus 3 x endfraction

Answers

The difference of the expression [tex]\frac{2x^5}{x^2 - 3x} - \frac{3x^5}{x^3 - 9x}[/tex] is [tex]\frac{2x^5(x + 3) - 3x^5}{x(x - 3)(x + 3)}[/tex]

How to determine the difference?

The expression is given as:

[tex]\frac{2x^5}{x^2 - 3x} - \frac{3x^5}{x^3 - 9x}[/tex]

Factor the denominators of the expressions:

[tex]\frac{2x^5}{x(x - 3)} - \frac{3x^5}{x(x^2 - 9)}[/tex]

Apply the difference of two squares to x² - 9

[tex]\frac{2x^5}{x(x - 3)} - \frac{3x^5}{x(x - 3)(x + 3)}[/tex]

Take LCM

[tex]\frac{2x^5(x + 3) - 3x^5}{x(x - 3)(x + 3)}[/tex]

Hence, the difference of the expression [tex]\frac{2x^5}{x^2 - 3x} - \frac{3x^5}{x^3 - 9x}[/tex] is [tex]\frac{2x^5(x + 3) - 3x^5}{x(x - 3)(x + 3)}[/tex]

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Answer:

A

Step-by-step explanation:

on Edge 2022

Simplify the following expression

-2x^2 + 4 + 5x^2 - 11 - 12x

Show the steps on how to solve this

Answers

Answer:

3x² - 12x - 7

Step-by-step explanation:

Subtract the numberS

-2x²+4+5x²-11 - 12x

-2x²-7+5x² - 12x

Combine like terms

-2x²-7+5x² - 12x

3x²-7-12x

Rearrange terms

3x²-7-12x

3x²-12x-7

Solution

3x² - 12x - 7

Answer:

3x² - 12x - 7

Step-by-step explanation:

-2x² + 4 + 5x² - 11 - 12x3x² - 12x - 7

pls help!!!


math

what the value??

--

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Here we go ~

[tex]\qquad \sf  \dashrightarrow \: \sqrt{ - 25} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \sqrt{ - 1 \times 25} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \sqrt{ {i}^{2} \times 25} [/tex]

[tex]\qquad \sf  \dashrightarrow \: 5i[/tex]

so, correct choice is D

Given:

[tex] \sqrt{ - 25} [/tex]

To find:

The equivalent value from the given options.

Solution:

[tex] \sqrt{ - 25} [/tex]

[tex] = \sqrt{ - 1\times 25} [/tex]

[tex] = \sqrt{ {i}^{2} \times 25 } [/tex]

[tex] = 5i[/tex]

Therefore, the correct answer is option D

The diameter of a circle is 10 ft. Find the circumference to the nearest tenth to the nearest tenth. (Urgent)

Answers

Answer:

31.42ft

Step-by-step explanation:

diameter = 10

radius = diameter ÷ 2

r = 10 ÷ 2

r= 5

Circumference = 2(pie)(r)

= 2(22÷7)(5)

= 31.42ft

Answer:

C ≈ 31.4 ft

Step-by-step explanation:

the circumference (C) of a circle is calculated as

C = πd ( d is the diameter ) , then

C = π × 10 = 10π ≈ 31.4 ft ( to the nearest tenth )

What is angle M in degrees?

Answers

ABCD = JKLM

A=82
B= 104
C= 121. (same as L)
Total for 3 angles = 307
Total for figure =360
360-307= 53
D= 53

So M=53 degrees

Scott and Huong each improved their yards by planting daylilies and ivy. They bought their
supplies from the same store. Scott spent $91 on 7 daylilies and 1 pot of ivy. Huong spent $105
on 7 daylilies and 3 pots of ivy. What is the cost of one daylily and the cost of one pot of ivy?

Answers

Answer:

daylilies - $12; ivy - $7

Step-by-step explanation:

one way to answer this question is by using two equations

first write your let statements

let d be daylilies and let i be ivy

7d + i = 91

7d + 3i = 105

then you can subtract the equations

you get -2i = -14

then divide eveything by -2

i = 7

ivy costs $7

lastly plug this into an equation

7d + 7 = 91

7d = 84

d = 12

daylilies cost $12

Find the value of x

Answers

Answer:

x = 6

Step-by-step explanation:

(-6, 2), (6, 2), (3, 1), (6, 1)

Build a number line to show 4/3

Answers

The number line with the number 4/3 graphed can be seen at the end of the answer.

How to show the number in a number line?

A number line is something that we use to show the order of the numbers.

Here, we want to show the number 4/3.

Notice that we can write this as:

4/3 = 3/3 + 1/3 = 1 + 1/3

So we need to identify the 1 in the number line, and then move 1/3 to the right.  Below you can see a image where the number 4/3 is graphed on the shown number line.

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Carla worked 13 1/4 hours making $9.75 per hour. Daniel earned $10.50 per hour and worked 11 3/4 hours. What was the total amount of money earned?

Answers

Answer:

$252.5625

Step-by-step explanation:

9.75×53/4+10.50×47/4

129.1875+123.375

=252.5625

hope it helpsss

can you mark me as the brainliest?

Use the following data set to answer question 8:

13, 19, 7, 12, 21, 18, 15 8.

Predict how the mean will change if the 7 is deleted from the data set. Calculate the new mean. Round to the nearest tenth.​

Answers

Answer:

15.1 to nearest tenth.

Step-by-step explanation:

The 7 is the lowest number so the mean would increase if taken away.

New mean = (8 + 12 + 13 + 15 +  18 + 19+21) / 7

= 106 / 7

= 15.14

5 units to the right of -6 is

Answers

Answer:

-1

Step-by-step explanation:

To solve the problem, it is suggested to use a number line.

~Please look at image attached

We know the following:

If the change is going to the right of the initial point, the change is a positive integer, and the initial point will be added by the change.If the change is going to the left of the initial point, the change is a negative integer and the initial point will be subtracted by the change.

Statement: 5 units to the right of -6.

Therefore, we know the following:

Initial starting point: -6Change: +5

Ending point: -6 + 5 = -1

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Number line:


Which term best describes the expression 5x4y8 ?
O Polynomial
Binomial
O Monomial
O Trinomial

Answers

Answer: Binomial

Step-by-step explanation: There are two variables here, x and y. 5x^4y^8 is a binomial since it involves 2 variables.

Answer:

Monomial

Step-by-step explanation:

A monomial is 1 term. 5x4y8 is one term, and nothing is getting added to it.

Find the missing measures in each parallelogram
help!!

Answers

Answer:

y=8

Step-by-step explanation:

SR=2×SG

AND SG=GR

3y-16=2×4

3y-16=8

3y=8+16

3y=24

y=8

PLS HELP ASAP FIRST CORRECT ANSWER GETS BRAINLIEST​

Answers

When a shape has 4 inside angles, the sum of the angles need to equal 360 degrees. This shape has 2 90 degree angles.

Angle DAB = 360 - 90-90 -155 = 25

Answer: 25 degrees,

Answer:

I got u, maybe.

In a triangle, all angles add up to 180, so it might be 180, you already got 155.

Step-by-step explanation:

Maths question

Write an algebraic expression for each of the following

Answers

Answer:

a) 3n+5

b) n+16

c) [tex]\frac{n-9}{2}[/tex]

d) [tex]\frac{x-u}{x+u}[/tex]

calculate the volume of a cone whose base radius is 3 and half cm and vertical height 24cm​

Answers

The volume of a cone whose radius is 3 1 / 2 cm and vertical height is 24 cm is 307.72 cm³

Volume of a cone

The volume of a cone can be represented as follows:

volume = 1 / 3 πr²h

where

r = radiush = height

Therefore,

r  = 3 1 / 2 cm = 7 / 2 cm

h = 24 cm

Hence,

volume = 1 / 3 × π  × (7 / 2 )² × 24

volume of a cone = 1 / 3 × π × 49 / 4 × 24

volume of the cone = 1 / 3 × π × 1176 / 4

volume of the cone =  1176 / 12 π

volume of the cone = 98π

volume of the cone =  307.72 cm³

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Find the sum or type "impossible" [3 -8]+[4 -5 -6]
Algebra 2 (On Acellus)

Answers

The sum of the given expression will be equal to -12.

What is an Algebra?

Algebra is the study of mathematical symbols and the rules for manipulating them in formulas; it is a common thread that runs through practically all of mathematics.

The solution of the given expression will be:-

= [  3  -  8  ]  +  [  4   -  5  -  6  ]

= [  -5  ]  +  [  -7  ]

= [  -12  ]

Therefore the sum of the given expression will be equal to -12.

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Which inequality describes the graph?

Answers

The graph is a linear inequality, and the inequality that describes the graph is y < 2x - 1

How to determine the inequality?

From the graph, we have the following features:

y-intercept, b = -1It passes through the points (0,-1) and (1,1)The line is a dotted line and the lower region are shaded; so, we make use of the < inequality

Next, we calculate the slope using:

[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]

So, we have:

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

m = 2

The inequality is then calculated using:

y < mx + b

This gives

y < 2x - 1

Hence, the inequality that describes the graph is y < 2x - 1

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What is the probabillity ?

Answers

Answer: the chance that a given event will occur

Step-by-step explanation:

Calculate the portion of each mix that is peanuts, again expressing your answer as a percent. Which recipe has the greatest concentration of peanuts?

Answers

Answer:

Recipie A has a higher percentage of chocolate chips and Recipie B has a higher percentage of peanuts.

Step-by-step explanation:

Chocolate Chunks:

Recipie A calls for a total of ten cups. So 3 cups of chocolate chips are used in Recipe A. The percentage of chocolate chips in the mix is given by 3/10, which can be written as 30%. Recipie B now has a total of 20 cups. So in Recipe B 5/20, which can be written in percentages as 25%. Recipe C now has a total of 25 cups. So 6 cups of chocolate chips are used in the recipe. The percentage of chocolate chips in the mix is given by 6/25, which can be written as 24 percent. Recipie A has the highest percentage of chocolate chips of the three recipes.

Peanuts:

Recipie A calls for a total of ten cups. So, according to the recipe, A 2 cups are peanuts. The amount of peanuts in the mixture is given by 2/10, which can be written as a percentage of 20%. Recipie B calls for 20 cups. So there are 7 cups of peanuts in the recipe. The percentage of peanuts in the mix is given by 7/20, which can be written as 35%. Recipie C has a total of 25 cups, so there are 7 cups of peanuts in the recipe. The percentage of peanuts in the mix is given by 7/25, which is equivalent to 28 percent in percentages. The recipie b contains the highest percentage of peanuts of the three.

As a result, Recipie A has a higher percentage of chocolate chips and Recipie B has a higher percentage of peanuts.

2)
8q+6=4q-14
What is The answer ?

Answers

Answer:

q=-5

Step-by-step explanation:

8q+6=4q-14

Remove q from one side

8q+6=4q-14

-4q    -4q

4q+6=-14

Remove 6 from both sides

4q+6=-14

    -6   -6

4q=-20

Divide 4 to isolate q

4q/4=-20/4

q=-5

Select the correct answer.
Based on the data in this two-way table, which statement is true?

Type of Flower/Color Red Pink Yellow Total
Rose 40 20 45 105
Hibiscus 80 40 90 210
Total 120 60 135 315
A. A flower being pink and a flower being a rose are independent of each other.
B. A flower being pink is dependent on a flower being a rose.
C. A flower being a rose is dependent on a flower being pink.
D. A flower being pink and a flower being a rose are the same.

Answers

Answer: The answer would be A. A flower being pink and a flower being a rose are independent of each other.

Step-by-step explanation:took the test and it was correct on edmentun!!

The point P has coordinates (5, 7) The point Q has coordinates (-1,-1) Find the length of the line segment PQ.​

Answers

[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ P(\stackrel{x_1}{5}~,~\stackrel{y_1}{7})\qquad Q(\stackrel{x_2}{-1}~,~\stackrel{y_2}{-1})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ PQ=\sqrt{[-1 - 5]^2 + [-1 - 7]^2}\implies PQ=\sqrt{(-6)^2 + (-8)^2} \\\\\\ PQ=\sqrt{36+64}\implies PQ=10[/tex]

Please and thank you?

Answers

Let's learn the relationship

Area=Length×Breadth

So Area is directly proportional to length

The Garden B has largest area

But hang on this is incorrect it's rectangle other side might be too long .

Spare way(Accurate and correct)

We can calculate also

For garden A

2(L+B)=1202(25+B)=120.25+B=60B=35

Area

LB

35(25)875ft²

For garden B

2(50+B)=12050+B=60B=10

Area

50(10)500ft²

Surprisingly assumption at first turned right

Garden A has highest area not Garden B

Answer:

Garden A

Step-by-step explanation:

Formula

Perimeter of a rectangle = 2(w + l)Area of a rectangle = w × l

(where w is the width and l is the length)

Garden A

Given:

Perimeter  = 120 ftOne side length = 25 ft

Using the formula for the perimeter to calculate the missing side length:

Perimeter = 2(w + l)

⇒ 120 = 2(25 + l)

⇒ 120 = 50 + 2l

⇒ 2l = 70

⇒ l = 35 ft

Therefore, the dimensions of Garden A are:

width = 25 ftlength = 35ft

Area = w × l

⇒ Area of Garden A = 25 × 35

                                  = 875 ft²

Garden B

Given:

Perimeter  = 120 ftOne side length = 50 ft

Using the formula for the perimeter to calculate the missing side length:

Perimeter = 2(w + l)

⇒ 120 = 2(w + 50)

⇒ 120 = 2w + 100

⇒ 2w = 20

⇒ w = 10 ft

Therefore, the dimensions of Garden B are:

width = 10 ftlength = 50 ft

Area = w × l

⇒ Area of Garden B = 10 × 50

                                  = 500 ft²

Conclusion

As 875 > 500, Garden A has the largest area.

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