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yuradex [85]
3 years ago
11

A concert hall has seven sections. Each section has 23 rules. Please roll has 14 seats. If the theater sells out pretty particul

ar performance, how many people attended? If the average ticket sold for $20, how much was collected at the box office? Need to write an equation. Thanks
Mathematics
1 answer:
Mice21 [21]3 years ago
7 0

Answer:

The number of people that attended the performance = 2,254

Amount collected at box office = $45,080

Step-by-step explanation:

For the theater to sell out a performance, it means it was filled to the brim( completely filled)

We have 7 sections, with 23 rows each

The total number of rows will be 23 * 7 = 161 rows

Since each row has 14 seats, the total number of seats will be 161 * 14 = 2,254 seats

Secondly we want to know how much was collected at the box office given the average ticket price

The amount collected at the box office = Number of seats * average ticket price = 2,254 * 20 = $45,080

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The rotation of the triangle ABC 360 degrees about the y-axis forms a cone

<h3>How to determine the shape after rotation?</h3>

From the question, we understand that the triangle ABC is a right triangle

The vertical cross-section of a cone is a right triangle.

This means that a right triangle can be rotated 360 degrees on one of its legs (opposite or adjacent) to form a cone

Hence, the rotation of the triangle ABC forms a cone

Read more about rotation at:

brainly.com/question/13147596

3 0
2 years ago
A government official is in charge of allocating social programs throughout the city of Vancouver. He will decide where these so
otez555 [7]

Answer: (0.132132, 0.274368)

Step-by-step explanation:

Given : A simple random sample of 123 people living in Gastown and finds that 25 have an annual income that is below the poverty line.

i.e. n= 123

\hat{p}=\dfrac{25}{123}\approx0.203252

Critical value for 95% confidence interval : z_{\alpha/2}=1.96

Confidence interval for population :

\hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

i.e. 0.203252\pm (1.96)\sqrt{\dfrac{0.203252(1-0.203252)}{123}}

0.203252\pm (1.96)\sqrt{\dfrac{0.203252(1-0.203252)}{123}}\\\\\0.203252\pm0.071118\\\\=(0.20325-0.071118,\ 0.203252+0.071118)\\\\=(0.132132,\ 0.274368)

Hence, the 95% confidence interval for the true proportion of Gastown residents living below the poverty line : (0.132132, 0.274368)

5 0
3 years ago
carlos biked 139/8 miles on Saturday and 135/7 miles on sunday which day did he ride further and by how much
Katena32 [7]

Answer: Sunday by 2 miles

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
E=I×R and P=E×I what is the formula that will solve for R when only E and I are known
blagie [28]

You wrote it there yourself, at the beginning of your question.

You wrote                             E       =  I  x  R

Divide each side by  ' I ' :    E / I  =  R

That's what you're asking for. ^

4 0
3 years ago
A ladder is leaning against a building.The distance from the bottom of the ladder to the building is 6ft shorter than the length
Akimi4 [234]

Answer:

15 ft

Step-by-step explanation:

Hi, the illustration for the problem is a right triangle with:

hypotenuse (C)= the length of the ladder = L

horizontal side(A) = distance from bottom of the ladder to the building = L - 6

vertical side(B) = distance from the top of the ladder to the bottom of the building = L - 3

So, we can use Pythagoras formula:

A2 +B2= C2

(L – 6 )² + (L-3)² = L²

L²-12L+36+L²-6L+9 =L²

L2 -18L+45 =0

APPLYING QUADRATIC FORMULA WE OBTAIN:

L =15 OR L=3

If L=3

Vertical side = L-3 = 0 (Length can´t be 0)

So L=15

6 0
3 years ago
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