A middle school took all of its 6th grade students on a field trip to see a ballet. The
students filled 702 seats, leaving 35% vacant. How many total seats were in the
theater?

Answers

Answer 1

By working with percentages, we will see that there are 1,080 seats in the theater.

How many total seats were in the theater?

We know that the students filled 702 seats, leaving 35% vacant.

Then 702 seats represents the (100% - 35% = 65%) of the total number of seats.

So, if the total number of seats is S, we can write:

(65%/100%)*S as the 65% of S.

Then we solve:

(65%/100%)*S = 702

0.65*S = 702

S = 702/0.65 = 1,080

There are 1,080 seats in the theater.

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Related Questions

The diagram below shows how much time Antoine spends doing different activities each day. How many hours does Antoine sleep in a day?

Answers

Your missing the diagram. Thus, I will try my best to help

Answer/Step-by-step explanation:

Given;

The diagram below shows how much time Antoine spends doing different activities each day.

How many hours does Antoine sleep in a day?

Solve;

To find how many hours does Antoine sleep in a day;

24 hour × percent of hour sleep = Hours sleep in a day

The sleeping hours = 24h × % = Hour

If you still do not understand please shown the diagram!

~Learn with Lenvy~

Please help math.......100pts

Answers

Answer:

8000

Step-by-step explanation:

Solve as requested in the question, round each number:

3008 ≈ 30005243 ≈ 5000

The sum is:

3000 + 5000 = 8000

Answer:

8000

Step-by-step explanation:

3008 rounded to nearest thousand: 30005243 rounded to nearest thousand: 5000

⇒ 3008 + 5243 ≈ 3000 + 5000

⇒ 3000 + 5000 = 8000

What is the diameter of a sphere with a volume of 397 m 3 to the nearest tenth of a meter?

Answers

The diameter of a sphere with a volume of 397 meter cube to the nearest tenth of a meter is 9.1 meters

Volume of a sphere

volume of a sphere = 4 / 3 πr³

where

r = radius of the sphere

Therefore,

volume = 397m³

Diameter = radius  × 2

Hence,

volume of a sphere = 4 / 3 πr³

volume of a sphere = 4 / 3 × 3.14 × r³

397 = 12.56 / 3 r³

cross multiply

397 × 3 = 12.56 r³

1191 = 12.56 r³

divide both sides by 12.56

r³ = 1191 / 12.56

r = ∛94.8248407643

r = 4.56009658

Hence,

diameter = 4.56009658 × 2 = 9.12 = 9.1 meters

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What is the period of the cosecant function graphed below?
A) pi/2
B) pi
C) 3pi/2
D) 2pi

Answers

Step-by-step explanation: The cosecant function is graphed in the given figure. we are to find the period of the function.
The period of a function is the distance travelled by the curve of the function in one complete revolution.
We can see that in the given figure, the distance between two consecutive points is given by

Therefore, the period of the cosecant function is
Thus, the correct option is (B) \pi.

What is 3/20 as a decimal?

Answers

Answer: 0.15

Step-by-step explanation:

Answer:

0.15

Step-by-step explanation:

3/20=15% so that means its 0.15

Help please…………………….

Answers

Answer:

get better maybe

Step-by-step explanation:

just pay attention in class

I need help on this problem, i checked some that I think might be right, could I get some help on it?

Answers

I don’t know what the answer is

Answer:

You are right

Step-by-step explanation:

please solve this
with each step​

Answers

Step-by-step explanation:

please mark me as brainlest

last year there were c pies baked for the bake sale this year there were 229 pies baked using c write an expression for the total number of pies baked in the two years

Answers

Answer: c+229

Explanation: c represents and unknown variable and since you are just trying to find the sum of the two years, you simply need to add the two together.

a random sample of 45 art students revealed that 20 prefer prefer painting over sculpture if there are 2k students in an art program how many would be expected to prefer painting over scultuprue

Answers

Using proportions, it is found that 889 students would be expected to prefer painting over scultuprue.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, 20 out of 45 students prefer painting over sculpture. Out of 2000 students, how many students would be expected to prefer painting? The rule of three is given by:

20 - 45

n - 2000

Applying cross multiplication:

45n = 20 x 2000

n = (20 x 2000)/45

n = 889.

889 students would be expected to prefer painting over scultuprue.

More can be learned about proportions at https://brainly.com/question/24372153

PLEASE HURRY NEEDED ASAP

Answers

Answer:

1: Is a function

2: Isnt a function

3: Is a function

4: Isnt a function

Reminder: Functions CAN"T have the same x values but different y values!!!!

Have a great day!!

Please rate and mark brainliest!!

Answer:

Sorry, all I know is the first one is a function.

Step-by-step explanation:

It's linear, and passing the vertical line test because it only has a point on each part of the x-axis, if you were to graph it.

Please someoene help me I am so confused
WILL GIVE BRAINLIEST

Answers

Answer: 42.0

Step-by-step explanation:

Leo designs a stand for the new statue on display at the local library. The stand is in the shape of a right trapezoidal prism. The base of the prism has an area of 3 ft2, and the prism stands 3.2 feet high. As Leo paints the stand, he calculates the surface area of the stand to be 35 ft2.
Leo is asked to purchase roping that will be used to close off the area around the statue. He purchases a length that is five times the perimeter of the stand in roping.
How much roping does he purchase?
Leo plans to add gold leaf to the sides of the stand but not to the two bases.
What percent of the area of the stand will have gold leaf? Round your answer to the nearest whole number.

Answers

Answer:

A: 45 5/16

B: The present of the area as 83%

Step-by-step explanation:

(a)

35= 3+3+3.2x+3.2x+3.2x+3.2x

35= 6 + 12.8

29/12.8 +12.8x/12.8

X=2.265625 = 2/12/64

1x = 2 17/64 * 4 + 9 1/16

P = 45 5/16

(b)

The present of the area as 83%

35 – the bases or 6 = 29

29/35 + 0.82857142857

0.82857142857 * 100 = 82.8571428571

Rounded to the nearest whole number is 83%

Select the correct answer. robin randomly selects a number between 1 and 20. what is the probability that the number selected is the square of a natural number? a. b. c. d. e.

Answers

The probability that the number selected is the square of a natural number will be  [tex]\frac{1}{5}[/tex].

What is probability?

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1.

Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

P is the probability

F(E) is the favorable event

T(E)is the total event

The probability is found as;

[tex]\rm P = \frac{F(E)}{T(E)} \\\\ \rm P = \frac{4}{20)} \\\\ \rm P = \frac{1}{5}[/tex]

Hence the probability that the number selected is the square of a natural number will be  [tex]\frac{1}{5}[/tex].

To learn more about the probability link is given below.

https://brainly.com/question/795909

Answer:

Option D is the correct answer

Step-by-step explanation:

D. [tex]\frac{1}{5}[/tex]

Arnav is also selling boxes of cookies he sells each box for 3.75 his goal to make more than 30 how many boxes of cookies could he sell to reach his goal

Answers

30/3.75=8 but he wants to make more than 30 so he should sell 9

Are my answers correct?

Answers

Answer:

Yes they are both correct.

Step-by-step explanation:

yes they are both correct.

Raegan mows two lawns, The first lawn is 5 meters long and 4 meters wide. The area of the second lawn is 2 times as big but has the same width as the first, what is the length of the second lawn

Answers

By solving a simple linear equation, we conclude that the length of the second lawn is 10 meters.

What is the length of the second lawn?

We know that one of the lawns is 5 meters long and 4 meters wide, then its area is:

A = 4m*5m = 20m^2

The other is two times as big, so its area is 40m^2 and has the same width as the first one (4 meters), so if we define the length as L we can write:

40m^2 = 4m*L

Solving for L we get:

(40 m^2)/4m = L = 10m

The length is 10 meters.

If you want to learn more about area, you can read:

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AYUDA ES PARA HOY ayudaaaaaaaaaa

Answers

La respuesta seria -4

Answer:

The answer is 12

Step-by-step explanation:

Anyone please help me

Answers

Answer:

3

Step-by-step explanation:

these are 2 similar triangles (all 3 pairs of corresponding angles are equal in their pair, and the lengths of corresponding sides have the same ratio in every pair of corresponding sides and other lengths).

and they are also right-angled triangles.

so, what else do we know about them ?

PQ = 18

RT = 6

ST = QT + 9

therefore

QT = ST - 9

and

QR = QT + RT = ST - 9 + 6 = ST - 3

due to the principles of cumulative triangles

PQ/ST = QR/RT = 18/ST = (ST - 3)/6

108/ST = (ST - 3)

108 = (ST - 3)ST = ST² - 3ST

ST² - 3ST - 108 = 0

we can the write

x² - 3x - 108 = 0

and the solution for such a squared equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 1

b = -3

c = -108

x = (3 ± sqrt(9 - 4×1×-108))/2 = (3 ± sqrt(441))/2 =

= (3 ± 21)/2

x1 = (3+21)/2 = 24/2 = 12

x2 = (3-21)/2 = -18/2 = -9

a negative solution for real lengths is not valid, so we know

x = ST = 12

so,

QR = ST - 3 = 12 - 3 = 9

and then

QT = QR - RT = 9 - 6 = 3


What is the area and perimeter for this ?

Answers

area : 282.8 perimeter : 68.4 if not then i might have done sum wrong

Answer:

Step-by-step explanation:

The area of a parralelogram is B*H

Base is 20.2

Hight is 12

20.2*12=242.4

Perimeter is the sum of all sides

20.2*2+12*2=64.4

Find the surface area

Answers

Answer:

B.

Step-by-step explanation:

6x3=18

18x4=72

3x3=9

9x2=18

72=18=90

Kris’s mom is putting up a border on the walls of Kris’s room. Her room is 12 feet long and 10 feet wide. How many borders will be needed to go all the way around the room?

42 feet
44 feet
22 feet
120 feet

Answers

= 12 + 10 + 12 + 10

= 2x12 + 2x10

= 24 + 20

= 44 feet of borders

Answer:

its 44

Step-by-step explanation:

add 10+10 then add 12+12

Find the surface area of the figure. Round to the nearest tenth if possible.​

Answers

Area of square base:
13 x 13 = 169
Area of triangular sides:
B x H/2
13 x 16/2 = 104
104 x 4 = because there are 4 triangular sides of the figure = 416
416 + 169 = 585in^2
590in^2

A triangle has sides with lengths of 63 miles, 64 miles, and 85 miles. Is it a right triangle? Yes or no?

Answers

Answer:

no it is not a right angled triangle.

Step-by-step explanation:

forthetra

This is a pythagorean theory question

If this is a right triangle (meaning one of the angles in the triangle is 90 degrees) then the lengths of the sides should make the formula true.

a^2 + b^2 = c^2 (c being the longest side or hypotenuse)

so plug in the lengths and prove or disprove the statement.

(63)^2 + (64)^2 = (85)^2

3969 + 4096 = 7225

8065 = 7225 false

The answer is NO it is not a right triangle.

I hope this helps and is the BRAINLIEST!

Good luck with your studies!

1 of 39 men is chosen at random. 27 men passed the test. 12 men failed. What is the probability that the man failed his test​

Answers

Answer:

30.7%, 0.3, or 4/13

Step-by-step explanation:

The correct procedure for this problem is:

The number of men that passed the test and the number of men should be located as the numerator and denominator of the fractional number.12/39 is our fraction, which we can reduce to 4/13We can change it to a percent and a decimal, which would be 30.7% and 0.3.

Question
A local event planner wants to cover a circular region with mud for an obstacle course. The region has a circumference of about 157 feet. The cost to cover 1 square foot with mud is $1.50. Approximate the cost to cover the region with mud. Round to the nearest ten dollars if necessary.

Answers

The cost to cover the cirular region with mud is about $2940

How to calculate area?

The circumference of the circular region is about 157 feet. Hence:

circumference = 2π * radius

157 = 2π * radius

Radius = 78.5 / π

The area is given as:

Area = π * radius² = π(78.5 / π)² = 1961.5 ft²

Cost = $1.5 * 1961.5 = $2940

The cost to cover the cirular region with mud is about $2940

Find out more on area at: https://brainly.com/question/25292087

7. An arched window has dimensions as
shown at the right. Consider the top of the
window to be a semicircle. How much plastic
covering is needed to cover the window,
following the outline of the window?

Answers

The amount of plastic covering needed to cover the window is 25.71.

How much plastic covering is needed?

The window consists of a semi circle and a rectangle. The circumference and the perimeter of the semi circle and a rectangle has to be determined.

Circumference of the semi circle = 1/2πd + d

Where:

π = 3.14

d = diameter = 3

1/2 x 3.14 x 3 + 3 = 7.71

Perimeter of the rectangle = 2(length + width)

2x (6 + 3) = 18

18 + 7.71 = 25.71

Please find attached an image of the window. To learn more about the perimeter of a rectangle, please check: https://brainly.com/question/3205029

I have to turn a bunch of these questions tomorrow so pleade help

Answers

Answer:

21,42/2,-(42/-2)

Step-by-step explanation:

please mark me as brainlest

Question 3 (1 point)
Which is the explicit rule for the geometric sequence?
10, -30, 90, -270, ...

Answers

Answer:

The rule for this question should be an=10*(-3)^(n-1)

Step-by-step explanation:

Because 10, -30, 90, and -270 divide (for example -30/10, 90/-30 and -270/90 which means the ratio equals -3) To find the ratio, you must divide by its previous term.

Then, the equation for the ratio would be a1 (first term in the sequence) multiplied by the ratio, then to the power of the number subtracted by 1. an=a1*r^(n-1) This is the formula to find the nth term of a geometric sequence.

Hope this helped!

ASAP HELP, PLEASE HELP NEED IT FOR COLLEGE SCHOLARSHIP PLEASE HELP ASAP i really need it for college scholarship help ive to submit it about 20 minutes pleae help

Answers

Answer:

I think it might be 30pi m or 94.2 m.

Step-by-step explanation: So you are finding the perimeter of the circle. You have a radius of 15, the perimeter for a circle is C=2pir. Now we can do  C=2pi(15). The answer is 30pi or C=2 x 3.14 x 15= 94.2 Hope this helps.

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