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Sliva [168]
3 years ago
9

Write an equation of the line that goes through the point (6, 12) and has a slope of 2 3 .

Mathematics
1 answer:
Degger [83]3 years ago
8 0

Answer:

3y = 2x + 24

Step-by-step explanation:

The correct question is as follows;

Write an equation of the line that goes through the point (6, 12) and has a slope of 2/3

Solution

Here, we have a point and a slope, and we want to write the equation of the line

The method we shall use here is the point slope method

Mathematically, that will be;

y-y1 = m(x-x1)

(x1,y1) = (6,12)

m = 2/3

y-12 = 2/3(x-6)

3(y-12) = 2(x-6)

3y-36 = 2x - 12

3y = 2x -12 + 36

3y = 2x + 24

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3 years ago
can anyone help tech me how to solve for tax and tip. im going to 6th grade and trying to get into the advanced group but I don'
baherus [9]

If something isn't clear or you're still confused about, let me know in the comments.

Step-by-step explanation:

Okay, here's my best try.

Suppose you have a bill for $8.45

If you are asked to add, say, 8% tax, you must calculate 8 percent of 8.45 and then add it to 8.45.

Begin by converting 8% to decimals by dividing by 100.

\frac{8}{100}=0.08 8% is 0.08 in decimal form.

To calculate a percentage of a number, you multiply the decimal percent by the number; example:

0.08(8.45) 8.45 is being multiplied by 0.08. The result is: 0.676. (this is the tax; however you have to round up to two decimal places: $0.68)

After finding the tax amount, if you are asked to add it to the bill, you have to add it to the original bill; in this case, $8.45

This would be: 0.68+8.45=9.13.

Therefore, the total bill after tax is for $9.13

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

With tips is the same thing, however, you can have 2 situations.

Situation 1: You are asked to calculate 15% tip of total bill.

In this situation, you can do the same we do to calculate tax.

Convert the percentage to decimal by dividing by 100.

\frac{15}{100}=0.15

and multiply it by the original bill.

0.15(8.45)=1.2675. Rounding up, this would be $1.27 for tip.

If you were to add it to the original bill, simply sum.

8.45+1.27=9.72

The total bill after tips is for $9.72

Situation 2: You are asked to calculate 15% tip of the total bill with a tax of 8% included.

In this situation, you must first calculate the total bill with the tax added, like we did above; we got a bill for $9.13 (Tax included)

Then you can calculate 15% tip of this new bill that has tax included.

Convert

\frac{15}{100}=0.15

Multiply by the new bill (because this is the one that includes tax)

0.15(9.13)=1.3695 Round up.... $1.37 for tips.

If you are asked to give a total amount of money including tax and tips, add this to the bill.

9.13+1.37=10.50

This bill would be for $10.50

3 0
3 years ago
Students were surveyed about birthdays. How many more students were born on Wednesday than friday?
WINSTONCH [101]
1 more person ; 2-1 = 1
4 0
3 years ago
2, 3, 6, 8, . . . is an example of an infinite alternating series. True False
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Example, <span>1/2 − 1/4 + 1/8 − 1/16 + ⋯  is an alternating series.

but here, in the given series - all numbers are positive . Hence, it is not an infinite alternating series.

</span>
8 0
3 years ago
Read 2 more answers
The roof leading to the top of a hill has an angle of elevation of 23 degrees. The hill is 120 feet high what is the leanth of t
Tresset [83]

Answer: 307.11\ ft

Step-by-step explanation:

Given

The height of hill is 120 ft and the angle of elevation is 23^{\circ}

Suppose the length of the road is x

From the figure, we can write

\Rightarrow \sin 23^{\circ}=\dfrac{120}{x}\\\\\Rightarrow x=\dfrac{120}{\sin 23^{\circ}}\\\\\Rightarrow x=307.11\ ft

Thus, the length of the road is 307.11\ ft

7 0
3 years ago
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