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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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Hope this helps!
5 0
3 years ago
I need to Match each equation that represents each situation.
almond37 [142]

Step-by-step explanation:

this is quite easy, when you use just common sense and identify the right numbers and variable names.

they is nothing special needed, you don't even need to create the equations yourself.

$4.99 per pound. buys b pounds and pays $14.95.

14.95 = 4.99 × b

$4.99 per pound. buys b pounds and pays c.

this is exactly the same as before, just that this time the total amount is not given as a constant but as a variable.

c = 4.99 × b

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the same as the 2 cases before, just now everything is a variable. no more constants, but otherwise the completely same structure and method.

t = d × b

earned $275, which is $45 more than Noah ("n").

$275 = n + $45

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m = n + $45

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here your teacher made a mistake.

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7 0
2 years ago
Find percent notation.<br> 4/5
Romashka [77]

The Answer to your problem is:

0.8

8 0
3 years ago
Read 2 more answers
To be considered for pilot school, 12 students took a spatial reasoning test that resulted in this list of scores. Find the valu
lord [1]

Answer:

the 90th percentile is 145

Step-by-step explanation:

Data provided:

152 121 130 143 122 101 137 98 138 127 145 117

Number of students considered, n = 12

To find:

90th percentile

Now,

Step 1 : Arrange the data in ascending order

98, 101, 117, 121, 122, 127, 130, 137, 138, 143, 145, 152

Step 2 : Compute the position of the 90th percentile

position of the 90th percentile, i = (90% × n)

Thus,

i = 0.90 × 12

or

i = 10.8

Now,

Step 3 : Since, the index i is not an integer, round up to the nearest integer

i.e i = 11

Therefore,

The 90th percentile is the value in 11th position,

i.e 145

7 0
3 years ago
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Answer: The equation is y = 3.25 + 7.5x and Todd bought 11 pictures

Step-by-step explanation:

4 0
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