Answer:
m = 11
Step-by-step explanation:
-2(2 - 4m) = 6(m + 3)
Divide both sides by -2.
2 - 4m = -3(m + 3)
Distribute -3 on the left side.
2 - 4m = -3m - 9
Add 3m to both sides.
2 - m = -9
Subtract 2 from both sides.
-m = -11
Divide both sides by -1.
m = 11
Answer:
x=7
Step-by-step explanation:
Move all terms containing x to the left side of the equation.
2x+3=17
Move all terms not containing x to the right side of the equation.
2x=14
Divide each term by 2 and simplify.
x=7
After the tax and the tip are counted, we conclude that each friend must pay $30.
<h3>How much should each person pay?</h3>
We know that the meal cost is $72.50.
Now, there is a 6.75% sales tax and a 15% tip on the waiter (we assume that the tip is based on the total meal cost, after the tax is applied).
Then the total meal cost is:
C = $72.50*( 1 + 6.75%/100%) = $72.50*(1 + 0.0675) = $77.39
Now we also need to add the tip, which is a 15% of that, so the total cost with the tip included is:
C' = $77.39*(1 + 15%/100%) = $88.998 = $90
(Where we rounded up).
Then, if there are 3 friends, each one must pay:
$90/3 = $30
Each friend must pay $30.
If you want to learn more about taxes:
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Answer:
Step-by-step explanation:
X=Y+Z
Answer:
The linear regression equation that represents the set of data is:
The predicted number of new cases for 2013 is 1368.
Step-by-step explanation:
The general form of a linear regression is:
Here,
<em>y</em> = dependent variable
<em>x</em> = independent variable
<em>a</em> = intercept
<em>b</em> = slope
Compute the values of <em>a</em> and <em>b</em> as follows:
The linear regression equation that represents the set of data is:
Compute the predicted value of the number of new cases for 2013 (i.e. <em>x</em> = 12) as follows:
Thus, the predicted number of new cases for 2013 is 1368.
