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Marta_Voda [28]
3 years ago
5

A website sells a dress at £40 and shoes at £32. The website has an offer: Buy a dress and shoes together and get 1/2 off the pr

ice. There is also a shipping and handling charge of £4 added at the end, after any discount. If Ruth buys both a dress and shoes, how much will she actually pay?
Mathematics
1 answer:
tekilochka [14]3 years ago
6 0

Answer:

\pounds36

Step-by-step explanation:

Cost of one dress = \pounds40

Cost of one pair of shoes = \pounds32

Cost of one dress and a pair of shoes is 40+32=\pounds72

They get half off the price because they buy both

\dfrac{72}{2}=\pounds32

The shipping and handling charge is \pounds4.

So, the total amount Ruth has to pay is 32+4=\pounds36.

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Answer:

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Step-by-step explanation:

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

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<u>Slope formula</u>

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

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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>

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Define two points on the line:

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<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.

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

y=5x-4

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

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

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Answer:

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Answer:

1. First choice, 1/2

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