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HACTEHA [7]
2 years ago
9

The members of the city cultural center have decided to put on a play once a night for a

Mathematics
1 answer:
jeyben [28]2 years ago
4 0
To answer the first question, we have these two equations:

x + y = 500 and 7.5x + 4.5y = 2550

We can use substitution to solve for x and then plug it back into any equation and find y.

y = 500 - x

7.5x + 4.5 (500 - x) = 2550

7.5x + 2250 - 4.5x = 2550

3x = 300

x = 100 adults

100 + y = 500 → y = 400 students

To answer your second question, we have two new equations:

2x = y (This may be confusing, but since there were more student tickets sold, it is the larger number.)
x + y = 300

We can rewrite the first equation and add them together:

2x - y = 0
x + y = 300

3x = 300

x = 100 adults

100 + y = 300 y = 200 students

The money earned from these 300 people is 100 * 7.5 + 200 * 4.5 = 750 + 900 = $1650.

$2550 - $1650 = $900

The 300 tickets sold had a $900 fall in ticket sales.

Hope this helps!
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Building A and Building B are 500 meters apart. There is no road between them, so to drive from building A to Building B, it is
Hatshy [7]

The distance from building A to building C is 433m

<h3>Right angle triangle:</h3>
  • A right angle triangle has one of its angle as 90 degrees. The sides can be found using trigonometric ratios.

Therefore,

sin 60° = opposite / hypotenuse

sin 60° = b / 500

cross multiply

b = 500 sin 60°

b = 500 × 0.86602540378

b = 433.0127

b = 433 meters

learn more on right angle triangle here: brainly.com/question/20795478

3 0
2 years ago
Find the volume of a pyramid with a square base, where the side length of the base is 16.6m and the height of the pyramid is 9.1
aleksandrvk [35]

Answer:

Formula for volume of square pyramid:-

V = 1/3 x a^2 x h

Where 'a' is the length of one side of the base, and 'h' is the height.

Plug in our values, given that:

16.6m = side length of base.

9.1m = height of pyramid.

V = 1/3 x a^2 x h

V = 1/3 x 16.6^2 x 9.1

V = 1/3 x 275.56 x 9.1

V = 1/3 x 2507.596

V = 2507.596/3

V = 835.865, which rounds to <u>835.9 cubic meters</u>.

7 0
1 year ago
Martha bought new fish for her home aquarium. She Bought 3 guppies and 2 platies for a total of 13.95.Find the price of a guppy
Crazy boy [7]
Bought the same number of Guppies and only Hank bought 2 additional Platies. Thus, let’s subtract the total of Hank and Martha
=> 18.33 – 13. 95 = 4.38
Thus, Hank paid an additional of 4.34 for 2 platies. Let’s divide to get the price of platies
=> 4.34 / 2 = = 2.19 (price of platies each.)
Let’s solve for price of guppies
=> 13.95 – 4.34 = 9.61
=> 9.61 / 3 = 3.20 (Price of guppies each.)
8 0
3 years ago
I need help !!! Help me
finlep [7]

Answer: It is A

Step-by-step explanation:

When you plug the numbers in A is the only one where you get the same answer

8 0
3 years ago
State University has no honors English course but instead places all freshman scoring at least 60 on a proficiency exam (mean=50
rusak2 [61]

Answer:

that put into the advanced course is 396.75

Step-by-step explanation:

The computation of that put into the advanced course is shown below:

P(X>60)

= P((X - mean) ÷ s > (60 - 50) ÷ 10)

= P (Z > 1)

= 0.1587

It could be checked by the standard normal table

Now that put into the advance course is

= 2,500 × 0.1587

= 396.75

Hence, that put into the advanced course is 396.75

4 0
2 years ago
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