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ycow [4]
3 years ago
7

The school auditorium has 900 seats. The inequality, with x representing adults and y representing children, can be solved to fi

nd the possible combinations of adults and children attending an event. Which reason describes why the ordered pair (450, 450) must be included in the solution set of the inequality?
Mathematics
1 answer:
Paha777 [63]3 years ago
5 0

Answer:

Step-by-step explanation:

The ordered pair is located on the boundary line of the graph of the inequality, and because the sign is "less than or equal to", the values on the boundary line are also included in the solution set.

Looking at this logically, we also see that it certainly possible for half the seats to be occupied by adults and half by children.

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This holiday weekend, Sue is going to Chicago to shop and to see a baseball game. To avoid traffic, Sue decides to take the trai
Pavel [41]

A proportional relationship is used to illustrate linear equations.

The constant of proportionality is 3

From the table, we have the following points:

(x,y) = (2,6) (3,9)

The constant of proportionality is calculated using:

\mathbf{m = \frac{y_2 - y_1}{x_2 - x_1}}

So, we have:

\mathbf{m = \frac{9-6}{3-2}}

Subtract

\mathbf{m = \frac{3}{1}}

Divide

\mathbf{m = 3}

Hence, the constant of proportionality is 3

Read more about constants of proportionality at:

brainly.com/question/18707816

6 0
3 years ago
What is 9 whole and 1/6 minus 4wholes and 5/6
rusak2 [61]
4 and 1/3, u can turn them into improper fractions and subtract the numerators
3 0
3 years ago
Read 2 more answers
A computer password consists of six characters.a. How many different passwords are possible if each character may be any lowerca
Citrus2011 [14]

Answer:

a) 6.04661760*10^8

b) 0.27778

Step-by-step explanation:

a)

There are 26 lowercase letters and 10 digits.  

The character that must be a digit can be generated in 10 different ways and the others, in 26+10=36 different ways.

Since the password is 6 characters long, by the Fundamental Rule of Counting there are

10*36*36*36*36*36 = 604,661,760

In scientific notation this number can be expressed as

6.04661760*10^8

b)

By the <em>Fundamental Rule of Counting</em>, there would be  

36^6

different combinations of 6 characters, but only the number computed in a) are valid combinations, so the probability of generating a valid password is

\displaystyle\frac{10*36^5}{36^6}=\displaystyle\frac{10}{36}=0.27778

5 0
4 years ago
PLEASE HELP PLEASE HELP
deff fn [24]

Answer:

D -- Triangular prism

Step-by-step explanation:

<em>Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Also remember to rate answers to help other students, While leaving thanks to answers that help you. Have a great day!</em>

7 0
2 years ago
A prop assistant needs to rent a telescope to use for a scene in a movie. One company charges $57 per day plus a flat fee of $32
vovangra [49]

The number of days for both Companies to have the same total amount is

6.4 days

<h3>Word Problem leading to Algebraic expression</h3>

 

Given Data

  • Let the total payment be y
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Company A

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  • Flat fee = $32

y = 57x+ 32 -----------------1

Company B

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Equating 1 and 2 we have

57x+ 32 = 62x+ 0

Solving for x we have

62x-57x = 32

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Divide both sides by 5

x = 32/5

x = 6.4 days

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5 0
3 years ago
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