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2 years ago

The reciprocal of a fraction less than 1 is always a fraction greater than 1.why is this?

1 answer:

4 0

First of all, you know that a fraction is smaller than 1 if the top number is smaller than the bottom. It works both ways, meaning that if the top number is larger than the bottom number, the fraction is greater than 1.

So, for example, a fraction less than 1 can be expressed as
(x-1)/x
because the top number is smaller than the bottom number.

The reciprocal can be found by flipping the top and the bottom, so the reciprocal is
x/(x-1)

x is always greater than x-1, so in the reciprocal, the top number will be larger than the bottom number. That means it will always be greater than 1.

Hope this helps!
(Sorry if this is confusing)

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A cylinder and a cone have the same volume. The cylinder has radius x and height y. The cone has radius 1/3x. Find the height of

slavikrds [6]

Answer:

The height of the cone h = 27(x^4)y

Step-by-step explanation:

Firstly, we calculate the volume of the cylinder.

Mathematically, the volume of the cylinder is pi * r^2 * h

using the radius x and height y

The volume V of the cylinder is ;

V = pi * x^2 * y

Now we know they have the same volume V, the formula for the volume of a cone is ;

1/3 * pi * r^2 * h

Substituting the values of r to be 1/3x and the height which is not given here left as h, we have the volume of the cone to be;

V = 1/3 * pi * (1/3x)^2 * h = pi * x^2 * y

The pi gives way as it cancels out on both sides and we have the following;

h/27x^2 = x^2y

Mathematically h = x^2 * y * 27x^2

h = 27(x^4)y

p.s: I personally feel the radius of the cone was to be given as x/3 and not 1/3x . It is in that way we can have the height of the cone purely in y terms and no x

8 0

2 years ago

2−4÷2+2 with the exponent of 3

miskamm [114]

Answer:

8 would be the answer if the exponet is at the end

Step-by-step explanation:

8 0

2 years ago

Plz someone help me.

satela [25.4K]

Hope this helps you! (and I'm right LOL)

5 0

2 years ago

3x-2y=-1. <br> Y=-x+3. <br> Is (1,2) a solution do the system?

andrew-mc [135]

Answer:

Yes

Step-by-step explanation:

To figure out if (1,2) is a solution to the system, we can plug the values in and see if it is true.

3x-2y=-1

3(1)-2(2)=-1

3-4=-1

-1=-1

It is true for this equation. Now let's check the next one.

y=-x+3

2=-(1)+3

2=2

Since both equations are true when we plug the values in, (1,2) is a solution to the system.

8 0

2 years ago

Read 2 more answers

Amelie has 385 muffins that she must package into boxes. Each box must hold 9 muffins. Amelie divides 385 by 9 and gets an answe

Phantasy [73]

Answer:

2nd one: amelia has 7 muffins left after filling 42 boxes

Step-by-step explanation:

6 0

2 years ago