Mathematics, 28.10.2020 16:50 23basu3

Ankur estimated the quotient of 15 and one-third divided by (negative 4 and two-thirds) to be 3. Which best describes his error? Ankur multiplied the compatible numbers 15 and –3. Ankur found that the quotient of a positive number and a negative number is negative. Ankur found that the quotient of a positive number and a negative number is positive. Ankur added the compatible numbers 15 and –3.

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The correct option which describes Ankur's error is: Ankur found that the quotient of a positive number and a negative number is positive.

Given that,

Ankur estimated the quotient of 15 and one-third divided by (negative 4 and two-thirds) = 3

We have to find,

Which best describes his error?

According to the question,

The two $15\dfrac{1}{3}$ and $-4\dfrac{2}{3}$ number are mixed fractions.

Ankur estimated the quotient of 15 and one-third divided by (negative 4 and two-thirds) = 3

Then,

Convert the equation into an improper fraction,

$= \rm \dfrac{15\dfrac{1}{3}}{-4\dfrac{2}{3}} \\\\\ Convert \ into \ improper \ fraction\\\\= \dfrac{\dfrac{15\times3+1}{3}}{\dfrac{-4\times 3+2}{3}} \\\\$

Now simplify the equation,

$= \dfrac{\dfrac{46}{3}}{\dfrac{-10}{3}} \\\\\\ = \dfrac{\dfrac{46}{3} } {\dfrac{3}{-10}} \\\\\\ = \dfrac{-3}{14}$

The mistake he has committed, while dividing two fractions, he must have forgotten that one of the fractions which is in the denominator bears a negative sign before it.

Ankur forgot to put the negative sign before 3.

Hence, The correct option which describes Ankur's error is: Ankur found that the quotient of a positive number and a negative number is positive.

For more details refer to the link given below.

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Answer from: cadez

Ankur found that the quotient of a positive number and a negative number is negative

Step-by-step explanation:

Given that:

Quotient of 15 and one-third divided by (negative 4 and two-thirds) = 3

Mathematically,

( 15 1/3) ÷ (-4 2/3) = 3

Here,

Dividend = 15 1/3 (positive)

Divisor = - 4 2/3 (negative)

Dividing a positive Dividend by a negative Divisor will always give a negative quotient

Hence,

15 1/3 = 46 / 3

-4 2/3 = - 14 / 3

46/3 ÷ - 14/3

= 46/3 * -3 / 14

Ankur must have either forgotten or neglected the negative sign in the divisor

Answer from: Quest

Iwould say rat and vsu but i’m not 100% sure

Answer from: Quest

x= -3 and $x=\frac{-3+/-3i\sqrt{3} }{2}$

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

$(x^3-a^3)=$ $(x-a)(x^2+ax+a^2)$

where a is the cube root of $a^3$ .

here this is 27 and the cube root of 27 is 3. so we write using the form:

$(x-3)(x^2+(3)x+3^2)\\(x-3)(x^2+3x+9)$ .

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

$x=\frac{-b+/-\sqrt{b^2-4ac} }{2a}$

where a = 1, b=3, and c=9

$x=\frac{-3+/-\sqrt{3^2-4(1)(9)} }{2(1)} \\x=\frac{-3+/-\sqrt{9-36)} }{2} \\x=\frac{-3+/-\sqrt{-27)} }{2}\\x=\frac{-3+/-3i\sqrt{3} }{2}$

this cubic has two complex roots.

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Ankur estimated the quotient of 15 and one-third divided by (negative 4 and two-thirds) to be 3. Whi...

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