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shepuryov [24]
3 years ago
15

The denominator of a rational number is greater than its numerator by 5. If 5 is subtracted from the numerator and 4 is added to

its denominator, the new number is ⅛ . Find the rational number.
Mathematics
1 answer:
nasty-shy [4]3 years ago
4 0

Answer:

7/12.

Step-by-step explanation:

=x/x+5.

x-5/x+5+4=⅛

x-5/x+9=⅛

x-5=⅛(x+9)

x-5=⅛x+1⅛

x-⅛x=1⅛+5

⅞x=49/8

7x=49

x=7

thus the initial fraction is x/x+5= <u>7</u><u>/</u><u>1</u><u>2</u>

A rational number is a fraction

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The average rate of change is measured as

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= 3 inches ÷ 40 years

= 0.075 inches per year

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What is the length of the the midsegment of a trapezoid with bases of length 18 and 24?
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The midsegment of a trapezoid is the segment connecting the midpoints of the two non-parallel sides. In trapezoid below, segment P Q is the midsegment. The length of the midsegment of trapezoid is half the sum of the lengths of the two parallel sides. In the figure above: P Q = A B + C D 2.

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2 years ago
In a race in which eleven automobiles are entered and there are no ties, in how many ways can the first three finishers come in?
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Answer:

990 ways

Step-by-step explanation:

The total number of automobiles we have is 11.

Now, what this means is that for the first position , we shall be selecting 1 out of 11 automobiles, this can be done in 11 ways( 11C1 = 11!/(11-1)!1! = 11!/10!1! = 11 ways)

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8 0
4 years ago
Two groups of students were asked how far they lived from their school. The table shows the distances in miles: Group A (distanc
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The mean is equal for Group A and Group B.

<h2>Given </h2>

Two groups of students were asked how far they lived from their school.

The table shows the distances in miles:

Group A (distance in miles) 1 1.5 3.03 3.2 2.8 1.5 1.8 2.5 2.2

Group B (distance in miles) 2 2.5 3.23 1.3 1.8 2.4 3 1.5 1.8

<h3>What is mean?</h3>

The mean of any data set or observation is equal to the sum of all the observations and divided by the number of observations.

The formula used to calculate the mean is;

\rm Mean  = \dfrac{Sum \ of \ all \ observation}{Number \ of \ obrservation}

The mean of group A is;

\rm Mean  = \dfrac{Sum \ of \ all \ observation}{Number \ of \ obrservation}\\\\\rm GroupA \ mean = \dfrac{1 + 1.5 + 3.03 + 3.2 + 2.8 + 1.5 + 1.8 + 2.5 + 2.2}{9 }\\\\\rm Group A \ mean=\dfrac{ 19.53}{9}\\\\ Group A \ mean = 2.17

The mean of group B is;

\rm Mean  = \dfrac{Sum \ of \ all \ observation}{Number \ of \ obrservation}\\\\\rm Group B \ mean = \dfrac{2 + 2.5 + 3.23 + 1.3 + 1.8 + 2.4 + 3 + 1.5 + 1.8}{9} \\\\Group B \ mean = \dfrac{19.53}{9}\\\\ Group B \ mean = 2.17

Hence, the mean is equal for Group A and Group B.

To know more about Mean click the link given below.

brainly.com/question/12513463

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2 years ago
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