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Drupady [299]
3 years ago
5

For a production of sweeney todd in las vegas, orchestra seats cost $42 and mezzanine seats cost $25. if a group of 14 people sh

ow up and spend a total of $486, how many of each kind of seat did they buy? please help, please show work!​
Mathematics
1 answer:
Lesechka [4]3 years ago
4 0

Answer: 8 orchestra seats and 6 mezzanine seats.

Step-by-step explanation:

Let be "o" the number of orchestra seats they bought and "m" the number of mezzanine seats they bought.

Set up a system of equations:

\left \{ {{42o+25m=486} \atop {o+m=14}} \right.

You can apply the Substittution Method to solve the system of equations:

1. Solve for "o" from the second equation:

o=14-m

2. Substitute it into the first equation and solve for "m":

42(14-m)+25m=486\\\\588-42m+25m=486\\\\-17m=-102\\\\m=\frac{-102}{-17}\\\\m=6

3. Substitute the value of "m" into o=14-m and evaluate, in order to find the value of "o". This is:

o=14-6\\\\o=8

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4 years ago
To estimate the number of people in Springfield, population 10,000, who have a swimming pool in their backyard, 250 people were
Andrei [34K]

Answer:

2400 people

Step-by-step explanation:

Let x be the number of people who had a swimming pool in the population of 10,000,

Thus, the ratio of people who had swimming pool to the total population = \frac{x}{10000}

Since, out of 250 people 60 had swimming pool,

So, the ratio of the people who had swimming pool to the total population = \frac{60}{250}

\because \frac{x}{10000}=\frac{60}{250}

\implies 250x=600000

\implies x=\frac{600000}{250}=2400

Hence, 2400 people in the city might one expect to have a swimming pool.

First option is correct.

8 0
3 years ago
Shannon poured 1 1/2 a punch into each of 5 glasses. how much total punch in cups did Shannon pour?
Arlecino [84]

Answer:

7 1/5

Step-by-step explanation:

You said that she poured 1 1/5 pouches in each cup. There are 5 cups, so multiply 1 1/5 by 5.

(e.g)

1 1/5+1 1/5= 3 because 1+1=2 & 1/2+1/2=1 so you add them and get 3

Do that twice and you get 6

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Your Welcome

6 0
3 years ago
Anyone know? Will mark brainliest if correct!
kati45 [8]
The answer is c f(x)
4 0
3 years ago
Read 2 more answers
Can somebody explain step by step ?
lukranit [14]

Answer:

3m\sqrt[5]{2m^4p^4}

Step-by-step explanation:

We want to find the fifth root of 486m^9p^4. In order to do so, we need to factorise

Let's factorise 486 first:

486 = 2 * 243 = 2 * 3^5

Ah, we see that 3^5 can be taken out and becomes 3 outside of the 5th root since the 5th root of

Now look at the variables. We see that since we have p^"4", whose exponent is less than 5, it's impossible for us to write it as a power of 5, so we leave this in the root.

We also have m^"9", which can be written as m^"5" * m^"4". Again, we see that the m^"4" term will have to remain inside the root, but we can take out the m^"5", which becomes m.

Our final answer is thus: 3m\sqrt[5]{2m^4p^4}.

<em>~ an aesthetics lover</em>

5 0
3 years ago
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