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gavmur [86]
3 years ago
11

I know how to answer the question, I just need help with writing the equation (the first box). Please help ASAP!

Mathematics
1 answer:
vodomira [7]3 years ago
7 0

Let x be the number of adult tickets sold and 84 - x be the number of children tickets.

105x + 60(84-x) = 7155

Once you find x (number of adult tickets), find the children tickets with 84 - x

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What is x if n≠m? Please help!
lorasvet [3.4K]

Answer: x = \frac{mn(q - p)}{n-m}\\\\

================================================

Work Shown:

Part 1

\frac{x-m}{m} + p = \frac{x-n}{n} + q\\\\\frac{x-m}{m} - \frac{x-n}{n} = q - p\\\\\frac{n(x-m)}{mn} - \frac{m(x-n)}{mn} = q - p\\\\\frac{xn-mn}{mn} - \frac{xm-mn}{mn} = q - p\\\\\frac{xn-mn-(xm-mn)}{mn} = q - p\\\\

Part 2

\frac{xn-mn-xm+mn}{mn} = q - p\\\\\frac{xn-xm}{mn} = q - p\\\\\frac{x(n-m)}{mn} = q - p\\\\x(n-m) = mn(q - p)\\\\x = \frac{mn(q - p)}{n-m}  \\\\

-------------------------------

Explanations:

  • There are quite a bit of steps. I decided to break things into two parts.
  • The goal is to get x all by itself on its own side, which is why I subtracted (x-n)/n from both sides in part 1, step 2. I also subtracted p from both sides.
  • Afterward, I gave each fraction the LCD mn. I multiplied top and bottom of the first fraction by n/n. I did a similar operation to the second fraction, but with m instead.
  • From there, we distribute and simplify. The mn terms cancel on the left side numerator (second step of part 2).
  • The n≠m is there to prevent the denominator (n-m) from being zero. We cannot divide by zero.
  • If the formulas don't properly display, then you might have to refresh the page.
7 0
3 years ago
A cube has a volume of 216 cubic inches. What is the length of each edge of the cube?
KatRina [158]

Volume of a cube = (edge)^3

In this problem,

Volume = 216in^2

Edge = ?

Let's plug our values into the formula above.

216in^3 = (edge)^3

Take the cbrt of both sides.

6in = edge

The length of each edge = 6in

3 0
3 years ago
Read 2 more answers
9.<br>6. Which of the following decimals is between -3<br>and -4?​
Setler79 [48]

Answer:

You did not provide options but it would be any one of them that starts with -3 and then has a decimal.

7 0
3 years ago
HELP!! 4 people work an event where they make $156, They split the money evenly
Marina CMI [18]

Answer:

$34

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6 0
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Y-(-4)=-3[x-(2)] I'm looking for the slope intercept form of y
skad [1K]
Y+4=-3(x-2)
y+4=-3x+6
y=-3x+2 and slope is -3
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