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Evgen [1.6K]
3 years ago
13

Joe has some pocket money. He spends 90% of it. He has 50p left. How much pocket money did he have?

Mathematics
2 answers:
Usimov [2.4K]3 years ago
8 0
So he spent 90% of a number and had 50 left
£5. This is because 50p is 10%. To get 100% you therefore need to times 50p by 10, thus getting £5
Hope this helps!
Ratling [72]3 years ago
7 0
He had 500 pocket money!
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Sandy pays $120 for 4 violin lessons. How much does she pay for 10 violin lessons?
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The parabolic shape of the door is represented by y - 32 = -\frac{2}{49}\cdot x^{2}. (See attachment included below). Head must 15.652 inches away from the edge of the door.

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y - k = C \cdot (x-h)^{2}

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k - Vertical component of the vertix, measured in inches.

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For the design of the door, the parabola must have an absolute maximum and x-intercepts must exist. The following information is required after considering symmetry:

V (x,y) = (0, 32) (Vertix)

A (x, y) = (-28, 0) (x-Intercept)

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The following equation are constructed from the definition of a parabola:

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-32 = 784\cdot C

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The parabolic shape of the door is represented by y - 32 = -\frac{2}{49}\cdot x^{2}. Now, the representation of the equation is included below as attachment.

At x = 0 inches and y = 22 inches, the distance from the edge of the door that head must observed to avoid being hit is:

y -32 = -\frac{2}{49} \cdot x^{2}

x^{2} = -\frac{49}{2}\cdot (y-32)

x = \sqrt{-\frac{49}{2}\cdot (y-32) }

If y = 22 inches, then x is:

x = \sqrt{-\frac{49}{2}\cdot (22-32)}

x = \pm 7\sqrt{5}\,in

x \approx \pm 15.652\,in

Head must 15.652 inches away from the edge of the door.

8 0
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