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solniwko [45]
3 years ago
8

An amphitheatre has 24 seats in the first​ row, 28 in the​ second, 32 in the​ third, and so​ on, for 29 rows. How many seats are

in the​ amphitheatre?
Mathematics
1 answer:
melomori [17]3 years ago
3 0
The answer is 2,320 seats in the amphitheater. Since the seats are increasing at a rate of 4 more seats each row, then just add 4 to the number for each past row starting at 32 since that's where the rest is unknown. Once you find all he numbers just add them up to get your answer.
I hope I helped!
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After a dreary day of rain, the sun peeks through the clouds and a rainbow forms. You notice the rainbow is the shape of a parab
Gekata [30.6K]

We can answer the first part of the question not taking intersecting function into account. The domain of y=-x^{2}+36 is all the numbers, x∈(-∞, +∞) and the range is y∈(-∞, 36]. We can observe these results with the help of a graph, as well. Since we are talking about the rainbow, the values above the ground level will make sense. In this case, we will take into account the range as it changes between 0 and 36, included and the domain between -6 and 6. Here (0;36) is the y-intercept and (-6;0) and (6;0) are the x-intercepts of the parabola.


Since in our problem, the linear function that intersects parabola is not given, we have to provide it by ourselves according to the conditions of the problem. It could be any line intersecting parabola in two points. One important point is that the y-intercept has to be no more than 36. Considering these conditions, we can set our linear function to be y=0.5x+5. We can observe the points that we included in the table (they have been given with orange dots in the graph and the table is attached below). We can see that the values of the function (values of y) are positive. Indeed, we are discussing the part of the rainbow above the ground level.


The system of equations with linear and quadratic functions has got two solutions and we can observe that result from the graph. The solutions are (-5.823; 2.088) and (5.323; 7.662). The solutions are the intersection points.

7 0
3 years ago
Part A: Sydney made $18.50 selling lemonade, by the cup, at her yard sale. She sold each cup for $0.50 and received a $3 tip fro
prisoha [69]

Answer:

Part A: x0.50 + 3 = 18.50

Part B: x0.75 + 3 - x0.10 = 21

Part C: The equations from Part A and Part B differ because of the cost of plastic cup.

Step-by-step explanation:

Let x represent the number of cup of lemonade sold. Therefore, we have:

Part A:

This situation can be represented by the following equation:

x0.50 + 3 = 18.50

Part B:

This situation can be represented by the following equation:

x0.75 + 3 - x0.10 = 21

Part C:

The equations from Part A and Part B differ because of the cost of plastic cup.

For equation from Part A, revenue is the same as profit as Sydney does incur any cost to buy plastic cup before selling her lemonade.

For equation from Part B, revenue is different from profit because Daria has to incur the cost of plastic cup which $0.10 per cup of lemonade before selling her lemonade.

8 0
3 years ago
Read 2 more answers
Someone solve this equation much appreciated!
daser333 [38]

Answer:

\frac{2A}{h} = b

Step-by-step explanation:

  • this can be done by simple manipulation .
  • in the given equation, A is the subject.
  • so, by the above statement you can understand the meaning of making something as a subject.
  • given equation: A = 1/2 bh
  • multiply both the sides by 2,

2A = bh

  • divide both the sides by h,

\frac{2A}{h} = b

so, the required form is : \frac{2A}{h} = b

3 0
3 years ago
W = zh - 6zk². Solve for z<br>(preferred with steps)​
8_murik_8 [283]

Answer:

           w

z =   ------------

         h - 6k²

Step-by-step explanation:

w = zh - 6zk²

zh - 6zk² = w

           w

z =   ------------

         h - 6k²

8 0
3 years ago
How many minutes in a day
Inessa [10]

If an hour has 60 minutes and a day has 24 hours , there are 60 times 24 in a day

60*24 = 1440


There are 1440 minutes in a day !


I hope that's help !

5 0
3 years ago
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