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.
If you want to learn more about percentages, you can read:
https://brainly.com/question/843074
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
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.Find the surface area
Answer:
B.
Step-by-step explanation:
6x3=18
18x4=72
3x3=9
9x2=18
72=18=90
Find the surface area of the figure. Round to the nearest tenth if possible.
What is 3/20 as a decimal?
Answer: 0.15
Step-by-step explanation:
Answer:
0.15
Step-by-step explanation:
3/20=15% so that means its 0.15
AYUDA ES PARA HOY ayudaaaaaaaaaa
Answer:
The answer is 12
Step-by-step explanation:
I have to turn a bunch of these questions tomorrow so pleade help
Answer:
21,42/2,-(42/-2)
Step-by-step explanation:
please mark me as brainlest
Are my answers correct?
Answer:
Yes they are both correct.
Step-by-step explanation:
yes they are both correct.
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
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
The diagram below shows how much time Antoine spends doing different activities each day. How many hours does Antoine sleep in a day?
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~
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.
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]
Question 3 (1 point)
Which is the explicit rule for the geometric sequence?
10, -30, 90, -270, ...
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!
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
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.
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
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.
A triangle has sides with lengths of 63 miles, 64 miles, and 85 miles. Is it a right triangle? Yes or no?
Answer:
no it is not a right angled triangle.
Step-by-step explanation:
forthetra
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
= 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
What is the diameter of a sphere with a volume of 397 m 3 to the nearest tenth of a meter?
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 spherevolume of a sphere = 4 / 3 πr³
where
r = radius of the sphereTherefore,
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
learn more on sphere here: https://brainly.com/question/3008257
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
please solve this
with each step
Step-by-step explanation:
please mark me as brainlest
Anyone please help me
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
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.
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
What is the area and perimeter for this ?
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
PLEASE HURRY NEEDED ASAP
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
Answer: 42.0
Step-by-step explanation:
Help please…………………….
Answer:
get better maybe
Step-by-step explanation:
just pay attention in class
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.
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%
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
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:
https://brainly.com/question/24487155
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?
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
Please help math.......100pts
Answer:
8000Step-by-step explanation:
Solve as requested in the question, round each number:
3008 ≈ 30005243 ≈ 5000The sum is:
3000 + 5000 = 8000Answer:
8000
Step-by-step explanation:
3008 rounded to nearest thousand: 30005243 rounded to nearest thousand: 5000⇒ 3008 + 5243 ≈ 3000 + 5000
⇒ 3000 + 5000 = 8000
I need help on this problem, i checked some that I think might be right, could I get some help on it?
Answer:
You are right
Step-by-step explanation:
What is the period of the cosecant function graphed below?
A) pi/2
B) pi
C) 3pi/2
D) 2pi