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prisoha [69]
4 years ago
9

Today everything in a store is for sale. THe store offers a 30% discount. The regualar price for a T-shirt is 18$. What is the d

iscount price
Mathematics
1 answer:
Serggg [28]4 years ago
7 0

Answer:

12.60

Step-by-step explanation:

Start off by the total which is 18. To find the percentage off you will have to make the 30% into a decimal, so simply move it two spaces to the left. Now you have .30. Multiply the decimal, .30, and the full amount, 18. Your equation now should be (.30)*(18). Your answer will be 5.40. 5.40 is what is off of the shirt from the original price, so subtract 5.40 from 18. Your equation now is (18-5.40) which is 12.60.

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\\ \tt\hookrightarrow Area=\pi r^2

\\ \tt\hookrightarrow Area=\pi 8^2

\\ \tt\hookrightarrow Area=64\pi

\\ \tt\hookrightarrow Area=64(3.14)

\\ \tt\hookrightarrow Area=200.96cm^2

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What is the median of the data set? <br><br> 31 <br><br> 31.5 <br><br> 32 <br><br> 32.5
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Answer:

\begin{cases}y=-5x+1\\y=5x-4 \end{cases}

Step-by-step explanation:

Slope-intercept form of a <u>linear equation</u>:

\boxed{y=mx+b}

where:

  • m is the slope.
  • b is the y-intercept (where the line crosses the y-axis).

<u>Slope formula</u>

\boxed{\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}}

<u>Equation 1</u>

<u />

Define two points on the line:

  • \textsf{Let }(x_1,y_1)=(-1, 6)
  • \textsf{Let }(x_2,y_2)=(0, 1)

<u>Substitute</u> the defined points into the slope formula:

\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{1-6}{0-(-1)}=-5

From inspection of the graph, the line crosses the y-axis at y = 1 and so the y-intercept is 1.

Substitute the found slope and y-intercept into the slope-intercept formula to create an equation for the line:

y=-5x+1

<u>Equation 2</u>

<u />

Define two points on the line:

  • \textsf{Let }(x_1,y_1)=(1, 1)
  • \textsf{Let }(x_2,y_2)=(0, -4)

<u>Substitute</u> the defined points into the slope formula:

\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-4-1}{0-1}=5

From inspection of the graph, the line crosses the y-axis at y = -4 and so the y-intercept is -4.

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y=5x-4

<u>Conclusion</u>

Therefore, the system of linear equations shown by the graph is:

\begin{cases}y=-5x+1\\y=5x-4 \end{cases}

Learn more about systems of linear equations here:

brainly.com/question/28164947

brainly.com/question/28093918

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