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Reika [66]
3 years ago
15

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

Mathematics
1 answer:
Rama09 [41]3 years ago
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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Lapatulllka [165]

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Step-by-step explanation:

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Find the x-values that are solutions of the equation 5cot^2x-15=0
julia-pushkina [17]
First solve for the trig function 'cot'
cot^2 x = \frac{15}{5} = 3

Next take the sqrt of both sides (include plus/minus)
cot x = \pm \sqrt{3}

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Finally use the unit circle or inverse tan on your calculator to find x.
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3 0
3 years ago
Can someone help me solve for x please it’s urgent
Lina20 [59]

Answer:

37.5

Step-by-step explanation:

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or, 16(20+x) = 46×20

or, 320 + 16x = 920

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Can someone please help me with math.
Umnica [9.8K]

Answer:

9) C. 35 + 0.12x = 44.36

10) B

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Step-by-step explanation:

9)

44.36 is the TOTAL so the equations have to EQUAL it.

PER mile means it's a variable so it's 0.12x:

35 is a constant so there's no variable attached:

35 + 0.12x = 44.36

10)

B because you have to cancel the y values and to do that, you multiply the 1st equation by 3.

11)

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-0.15x = -4.8

x = 32

5 0
3 years ago
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