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3 years ago

Your waiter at a restaurant suggests you leave a tip of $10 on a $50 bill. What percentage is that?

Mathematics

1 answer:

Bezzdna [24]3 years ago

6 0

Answer:

20%

Step-by-step explanation:

To find what percentage is $10 out of $50, we divide 10 by 50:

$\frac{10}{50}=0.2$

If we want to get the result in percentage form, we simply multiply it by 100%:

$0.2\cdot 100\%=20\%$

So a tip of $10 on a $50 bill is a tip of 20%.

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I need an equation for this

erastovalidia [21]

37 + x = 2(14 + x)

Explanation:

$37 + x = 2(14 + x)$
$37 + x = 28 + 2x$
subtract both sides by 28
9 + x = 2x
subtract both sides by x
9 = x

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3 years ago

A right circular cylinder is inscribed in a sphere with diameter 4cm as shown. If the cylinder is open at both ends, find the la

SOVA2 [1]

Answer:

$8\pi\text{ square cm}$

Step-by-step explanation:

Since, we know that,

The surface area of a cylinder having both ends in both sides,

$S=2\pi rh$

Where,

r = radius,

h = height,

Given,

Diameter of the sphere = 4 cm,

So, by using Pythagoras theorem,

$4^2 = (2r)^2 + h^2$ ( see in the below diagram ),

$16 = 4r^2 + h^2$

$16 - 4r^2 = h^2$

$\implies h=\sqrt{16-4r^2}$

Thus, the surface area of the cylinder,

$S=2\pi r(\sqrt{16-4r^2})$

Differentiating with respect to r,

$\frac{dS}{dr}=2\pi(r\times \frac{1}{2\sqrt{16-4r^2}}\times -8r + \sqrt{16-4r^2})$

$=2\pi(\frac{-4r^2+16-4r^2}{\sqrt{16-4r^2}})$

$=2\pi(\frac{-8r^2+16}{\sqrt{16-4r^2}})$

Again differentiating with respect to r,

$\frac{d^2S}{dt^2}=2\pi(\frac{\sqrt{16-4r^2}\times -16r + (-8r^2+16)\times \frac{1}{2\sqrt{16-4r^2}}\times -8r}{16-4r^2})$

For maximum or minimum,

$\frac{dS}{dt}=0$

$2\pi(\frac{-8r^2+16}{\sqrt{16-4r^2}})=0$

$-8r^2 + 16 = 0$

$8r^2 = 16$

$r^2 = 2$

$\implies r = \sqrt{2}$

Since, for r = √2,

$\frac{d^2S}{dt^2}=negative$

Hence, the surface area is maximum if r = √2,

And, maximum surface area,

$S = 2\pi (\sqrt{2})(\sqrt{16-8})$

$=2\pi (\sqrt{2})(\sqrt{8})$

$=2\pi \sqrt{16}$

$=8\pi\text{ square cm}$

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3 years ago

klemol [59]

The answer is C. . . . . . . . . . . . .

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3 years ago

The three-dimensional shape that this net represents is a _?

Klio2033 [76]

Answer:

Step-by-step explanation:

It’s a cube with edge length of 12 cm.

The cube has six faces, and the are ma if each face is 144 cm²

Total surface area = 6×144 = 864 cm²

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3 years ago

PLZ ANSWER FIRST GETS BRAINLIEST + 20 POINTS

sleet_krkn [62]

Answer:

x= -2, y = 5

Step-by-step explanation:

y = -4x-3

y = -2x+1

Set the two equations equal to each other

-4x-3 = -2x+1

Add 4x to each side

-4x-3 +4x = -2x+1+4x

-3 = 2x+1

Subtract 1 from each side

-3-1 = 2x+1-1

-4 =2x

Divide by 2

-4/2 = 2x/2

-2 =x

Now find y

y = -4x-3

y = -4(-2) -3

y = 8 -3

y =5

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3 years ago

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