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MaRussiya [10]
3 years ago
12

Two consecutive odd integers are such that one-third the smaller is greater than one-seventh of the larger one by 6. Find the nu

mbers.
Mathematics
1 answer:
vaieri [72.5K]3 years ago
5 0

Answer:

the number is 33 and 35 respectively

Step-by-step explanation:

The computation is shown below:

Let us assume X and X + 2 are the two consecutive odd integers

Now the equation is

(X ÷ 3) = ((X + 2) ÷ 7) + 6

(X ÷ 3) = (X + 2 + 6 × 7) ÷ 7

(X ÷ 3) = (X + 2 + 42) ÷ 7

(X ÷ 3) =  (X + 44) ÷ 7

Now do the cross multiplication

7X  = 3(X + 44)

7X = 3X + 132

4X = 132

X = 33

And, X + 2 = 33 + 2 = 35

hence, the number is 33 and 35 respectively

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EXTRA POINTS :) what is the value of x??
vlada-n [284]

Answer:

x = 17

Step-by-step explanation:

corresponding interior angles are supplementary, meaning they have to add up to 180 degrees so

6x + 8 + 4x + 2 = 180°     then combine like terms ( 6x and 4x, 8 and 2 )

10x + 10 = 180         subtract 10 from both sides

        -10     -10

10x = 170            divide each side by 10

/10     /10

x = 17

8 0
3 years ago
Which expression equals a number that is NOT a rational number?
rewona [7]
  • \frac{3\pi.3^3}{7}  is not included as a rational number !

<u>Step-by-step explanation:</u>

Here we have , following expressions & we need to identify which of the following is not a rational number . Let's find out:

We know that , Rational Number : A number which can be expressed in form of p/q , where q is not equal to zero !

Here Expressions are:

  • \frac{3\pi . 3^3}{7\pi}  :

Let's evaluate this expression

⇒ \frac{3(\pi) ( 3^3)}{7(\pi)}

⇒ \frac{3^4}{7}

Therefore , It is a rational number ! .

  • \frac{-18}{5} :

Let's evaluate this expression

⇒ \frac{-18}{5}

Therefore , It is a rational number ! .

  • \frac{5}{3-7-9} :

Let's evaluate this expression

⇒ \frac{5}{3-16}

⇒ \frac{-5}{13}

Therefore , It is a rational number ! .

  • \frac{3\pi.3^3}{7} :

Let's evaluate this expression

⇒ \frac{3\pi.3^3}{7}

⇒ \frac{\pi.3^4}{7}

Therefore , It is not a rational number , as pi is included ! .

4 0
3 years ago
Read 2 more answers
Can someone help me?
strojnjashka [21]

Answer:

Choice  C is correct.

Step-by-step explanation:

put point A in (x+1,y-3)

now (-6,4) becomes (-5,1).

put point C in (x+1,y-3)

now (2,1)  becomes (3,-2)

put point B  in (x+1,y-3)

now (-3,-2) becomes (-2,-5).


3 0
3 years ago
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Number eight is my question
lys-0071 [83]
Which is 592/17 = 34.82 Rounding to the nearest tenth? Is 35.
5 0
3 years ago
The ________ can be a misleading measure of central tendency if the distribution of scores is ________ . A.mean; B.skewed median
LenaWriter [7]

Answer:

C) Mean, Skewed.

Step-by-step explanation:

The mean is easily influenced by outliers in a distribution. So if a Distribution of scores is skewed, then it will mislead the readers. In a skew distribution, either positive or negative, the Median will turn to be the central value. Usually, the mean is used besides other statistical parameters.

In a Normal distribution, the mean is right in the middle, symmetrically dividing the "bell shape" curve. The Mean, in this case, coincides with the mode, and the Median.

On the other hand, the Median is way more trustable central tendency measure, more resistant to outliers. So in a Skewed distribution, a Median is preferred over the Mean and use alongside the Mode.

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