5 * (2 + 4)
5 * 2 + 5 * 4 (the distributive property)
5 * 6 (order of operations)
So we are given the expression:
÷ 
When we divide fractions, we must flip the second term and change the sign to multiplication:

And then we multiply across:

Then we can break apart all of the like variables for simplification:

When we simplify variables through division, we subtract the exponent of the numerator from the exponent of the denominator. So we then have:



So then we multiply all of these simplified parts together:

So now we know that the simplified form of the initial expression is:
.
A line which represents the line of best fit is: C. Line B.
<h3>What is a line of best fit?</h3>
A line of best fit is sometimes referred to as a trend line and it can be defined as a statistical or analytical tool that is commonly used in conjunction with a scatter plot, in order to determine whether or not there is any form of association and correlation between a data set.
<h3>The characteristics of a line of best fit.</h3>
In Mathematics, there are different characteristics that are used for determining the line of best fit on a scatter plot and these include the following:
- The line should be very close to the data points as much as possible.
- The number of data points that are above the line should be equal to the number of data points that are below the line.
By critically observing the scatter plot using the aforementioned characteristics, we can reasonably and logically deduce that line B represents the line of best fit because the data points are in a linear pattern.
Read more on line of best fit here: brainly.com/question/12284501
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They bought 8 orchestra seats and 6 mezzanine seats.
Step-by-step explanation:
Cost of one orchestra seat = $42
Cost of one mezzanine seat = $25
No. of people = 14
Amount spent = $486
Let,
x be the number of orchestra seats
y be the number of mezzanine seats
According to given statement;
x+y=14 Eqn 1
42x+25y=486 Eqn 2
Multiplying Eqn 1 by 25;

Subtracting Eqn 3 from Eqn 2 to eliminate y;

Dividing both sides by 17

Putting x=8 in Eqn 1

They bought 8 orchestra seats and 6 mezzanine seats.
Keywords: linear equation, elimination method
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<span>C:1/2 hope i help have a nice day
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