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cupoosta [38]
3 years ago
10

The circus is coming to town. Cindy is selling tickets. The first day she sold 8 adult tickets and 5 children tickets for a tota

l of 177.50 in sales. The second day she received $255.00 for 12 adult tickets and 6 children tickets.
Mathematics
1 answer:
Galina-37 [17]3 years ago
3 0
Let the price of adult ticket and children ticket be a and c respectively
8a+5c=177.50 -> 24a+15c=532.5
12a+6c=255.00 -> 24a+12c=510

24a+15c-24a-12c=532.5-510
3c=22.5
c=7.5
a=17.5

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When is slope-intercept form most useful?
Tomtit [17]
Slope intercept is almost the best for everything.
point slope is for when you only know the points on a line
standard form is for when solving systems of equations
6 0
3 years ago
PLEASE HELP ASAP THANK YOU
nevsk [136]

Answer:

first move eight to the left on the first number line

-8

on the second number line move two to the right, from where you are on the first

-6

on the third move back two

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7 0
3 years ago
Which equation can you solve to find the potential solutions to the equation log2x log2(x – 6) = 4? x2 – 6x – 4 = 0 x2 – 6x – 8
sergeinik [125]

To solve the question we must know about Logarithm.

<h2>Logarithm</h2>

A log function is a way to find how much a number must be raised in order to get the desired number.

a^c =b

can be written as

\rm{log_ab=c

where a is the base to which the power is to be raised,

b is the desired number that we want when power is to be raised,

c is the power that must be raised to a to get b.

For example, let's assume we need to raise the power for 10 to make it 1000 in this case log will help us to know that the power must be raised by 3.

\rm{log_{10}1000=3

The value of input can not be negative, the value of x is 8.

<h2>Given to us</h2>
  • \rm{ log_2x+log_2(x-6)= 4

<h2>Solution</h2>

\rm{ log_2x+log_2(x-6)= 4

  • Using log_ab + log_ac = log_a(bc),

        \rm{ log_2x(x-6)= 4

  • Taking antilog,

        x(x-6)= 2^4

  • Doing factorization

        x^2 -6x -16=0\\&#10;x^2 -8x +2x-16=0\\&#10;x(x-8)+2(x-8)=0\\&#10;(x+2)(x-8) = 0

Equating factors against 0,

1.    (x+2)=0\\&#10;x=-2

2.     (x-8)=0\\&#10;x=8

As the value of input can not be negative, the value of x is 8.

Hence, the value of x is 8.

Learn more about Logarithm:

brainly.com/question/3072484

8 0
2 years ago
helen didvided her colored pencils evenly among herself and three freinds. write an expression to represent the number of pencil
svetoff [14.1K]
So, As Helen divides these pencils, she will divided among, herself, and also her other friends.

This would then signify that the expression would look like the following:

\boxed{p\div(4)}

We really do not know how many pencils Helen had, so this is why <em>p </em>is in the equation.
8 0
3 years ago
HELP HELP HELP HELP FIND THE VALUE OF X
aalyn [17]

Answer:

x=9

Step-by-step explanation:

The sum of all three angles inside a triangle is always 180 and the small square in the bottom left corner means that that is a 90 degree angle.

90+5x+5x=180

add the x values together

90+10x=180

subtract 90 from both sides

10x=90

divide both sides by 10

x=9

8 0
3 years ago
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