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erica [24]
3 years ago
5

A boy bought an article for £9. He spent £4

Mathematics
1 answer:
Marina86 [1]3 years ago
4 0

Answer:

Profit % = 39%

Step-by-step explanation:

Cost price of the article = 9

Price for repairing = 4

Therefore, Total cost of the article = 9 + 4 = 13

Selling price  of the article = 18

Profit = 18 - 13 = 5

Hence,

          Profit \% = \frac{Profit}{Cost \ price} \times 100\\\\

                        = \frac{5}{13} \times 100\\\\=38.46 \%\\\\=38.5 \%

Profit percent (to the nearest %) = 39%

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What the y-intercept of (8,0) and (3,7)
Anettt [7]

Answer:

\sf \bf y - intercept = \dfrac{56}{5}

Step-by-step explanation:

Y-intercept:

   (8,0)  ; x₁ = 8 & y₁ = 0

   (3,7)   ; x₂= 3  & y₂ = 7

  • First find the slope of the line.

      \sf \boxed{\bf Slope =\dfrac{y_2-y_1}{x_2-x_1}}

                  \sf = \dfrac{7 - 0}{3 - 8}\\\\ =\dfrac{7}{-5}\\\\=\dfrac{-7}{5}

 slope y-intercept form of the line:  y = mx + b

Substitute the slope and x and y in the above equation. We can choose anyone of the given points.

     0 = \dfrac{-7}{5}*8 + b\\\\0=\dfrac{-56}{5}+b\\\\\dfrac{56}{5}=b\\\\ \boxed{\bf b = \dfrac{56}{5}}

3 0
2 years ago
A landscaper wants to create a 12-foot-long diagonal path through a rectangular garden. The width of the garden is x feet and th
dolphi86 [110]

Answer:

Width of the rectangle =  6.7 ft

length of the rectangle = 10.7 ft

Step-by-step explanation:

ABCD is the rectangle.

AB = length of the rectangle = 4 + x ft

BC = width of the rectangle = x ft

AC = Diagonal of the rectangular field = 12 ft

Since ΔABC is the Right angle triangle. So

AC^{2} = AB^{2} + BC^{2}

12^{2} = (4 + x)^{2} + x^{2}

144 = x^{2} + 16 + x^{2} + 8 x

144 = 2x^{2} + 8x + 16

x^{2} + 4x -72 = 0

By solving above equation we get

x = 6.7 ft

Thus is the width of the rectangle.

And length of the rectangle = 4 + x

⇒ 4 + 6.7

⇒ 10.7 ft

5 0
3 years ago
Read 2 more answers
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