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AlexFokin [52]
3 years ago
6

8. The talent show committee sold a total of 530 tickets in advance. Student

Mathematics
1 answer:
Alex Ar [27]3 years ago
3 0

Answer:

Number of students tickets sold = x = 380 tickets

Number of adults tickets sold = y = 150 tickets

Step-by-step explanation:

Let

Number of students tickets sold = x

Number of adults tickets sold = y

x + y = 530 (1)

3x + 4y = 1740 (2)

From (1)

x = 530 - y

Substitute x = 530 - y into (2)

3x + 4y = 1740

3(530 - y) + 4y = 1740

1590 - 3y + 4y = 1740

- 3y + 4y = 1740 - 1590

y = 150

Substitute y = 150 into (1)

x + y = 530

x + 150 = 530

x = 530 - 150

x = 380

Number of students tickets sold = x = 380 tickets

Number of adults tickets sold = y = 150 tickets

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Expand and simplify <img src="https://tex.z-dn.net/?f=%20%283x-2%29%5E%7B2%7D%20" id="TexFormula1" title=" (3x-2)^{2} " alt=" (3
Rus_ich [418]
You can just 1) multiply the binomial by itself, or you can use 2) the square of a binomial pattern. I'll show it to you both ways.

1) Multiply the binomial by itself.

(3x - 2)^2 = (3x - 2)(3x - 2) =

Multiply every term of the first binomial by every term of the second binomial, then collect like terms. (This is often called using FOIL.)

= 9x^2 - 6x - 6x + 4

= 9x^2 - 12x + 4

2) Use the square of a binomial pattern

The square of a binomial is

(a - b)^2 = a^2 - 2ab - b^2

a^2 is the square of the first term.
b^2 is the square of the second term.
-2ab is the product of the two terms and 2.

You have

(3x - 2)^2,
where the first term is 3x, and the second term is -2

square the first term: 9x^2
square the last term: 4
the product of the terms and 2 is: -12x

Put it all together, and you get

9x^2 - 12x + 4

just like we got above with the other method.
7 0
3 years ago
PLEASE HELP 10 POINTS
Ilia_Sergeevich [38]

Answer:

40

Step-by-step explanation:

180 degrees for a triangle. We add 87 and 53 degrees.

That equals 140. Again, back to 180 degrees. We minus 180 degrees with 140 degrees which equals:

40 degrees.

4 0
3 years ago
Please answer asap! Will mark brainliest.
choli [55]
It is too blurry i will try too help if I tell me what too do
5 0
3 years ago
Read 2 more answers
Help is greatly appreciated!
Masja [62]

Answer:

∛3, ∛3 to the fourth power, 3³∕ ², 3³∕ ², radical 3 to the fifth power

Step-by-step explanation:

I'm going to convert all these to decimal form to make it easier.

3³∕ ² = 4.5

∛3 = 1.44

radical 3 to the fifth power= 15.60

∛3 to the fourth power= 4.33

7 0
3 years ago
Solve the equation by completing the square.<br><br> 3x^2 -6+9=0
Debora [2.8K]
The factored form would be (3x-9)(x-1)
The picture should help a bit
8 0
3 years ago
Read 2 more answers
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