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d1i1m1o1n [39]
3 years ago
8

A theater charges 11 dollars per ticket for a show. However, to put on the show, they rent out an auditorium for $150. If t is t

he number of tickets sold, write an expression for the amount the theater group will make on the show.
Mathematics
1 answer:
NemiM [27]3 years ago
8 0

Answer:

11t-150

Step-by-step explanation:

t is the number of tickets. Each ticket costs $11, therefore we can write 11t.

We need to subtract the price for the rent of the auditorium to find the amount the theatre makes overall, therefore:

11t-150

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Consider the line 7x+9y=5
alisha [4.7K]

Answer:

The slope of a line parallel to this line will be: -7/9

The slope of the perpendicular line will be:

\frac{-1}{\frac{-7}{9}}=\frac{9}{7}

Step-by-step explanation:

We know the slope-intercept form

y=mx+b

Here,

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  • b is the y-intercept

Given the equation

7x+9y=5

simplifying to write in the lope-intercept form

y=-\frac{7}{9}x+\frac{5}{9}

Thus, the slope of the line is: -7/9

The slope of a line parallel to the line:

We have already determined that the slope of the line is: -7/9

  • We know that the parallel lines have the same slope.

Thus, the slope of a line parallel to this line will be: -7/9

The slope of a line perpendicular to the line:

We have already determined that the slope of the line is: -7/9

As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line.

Thus,  the slope of the perpendicular line will be:

\frac{-1}{\frac{-7}{9}}=\frac{9}{7}

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Read 2 more answers
Using the given points and line, determine the slope<br><br> (0,32) and (100,212)
suter [353]
To solve for the slope given two lines, use the formula:

(y₂ - y₁)
----------
(x₂ - x₁)

Set one of the points as (x₁, y₁), and the other as (x₂, y₂).

(x₁, y₁) = <span>(0,32)
</span>(x₂, y₂) <span>= (100,212)

plug into corresponding places:


</span>(y₂ - y₁)         (212 - 32)     (180)
----------    =  -------------- = -------
(x₂ - x₁)         (100 - 0)       (100)


180/100 
is your slope

If you want simplified, it will be: 9/5

hope this helps


5 0
3 years ago
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