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2 years ago

Do the quotients always have the same number of digits when dividing 3-digit numbers by 1-digit numbers? Why?

Mathematics

2 answers:

MrRa [10]2 years ago

5 0

Answer:

The answer is No.

<em>example: 495/9=55</em>

Step-by-step explanation:

No, the quotients does not always have the same number of digits when dividing 3-digit numbers by 1-digit numbers.

since let us consider a three digit number as: 495

on dividing this number by a single digit number i.e. 9 we get the quotient as 55; which is not a three digit number.

i.e. 495/9=55

Hence, the following statement is false.

ahrayia [7]2 years ago

3 0

Answer:

Not in all cases.

Step-by-step explanation:

It depends on the values of the 3-digit and 1-digit number given.

For example, dividing 462 by 2 gives 231 which is a 3-digit quotient. Also, dividing the same 462 by 6 gives 77.

In a nut shell, sometimes the quotient might be the same and some times not the same. It is determined by the values of the 3-digit and 1-digit required.

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Derivative of<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%7B3x%7D%5E%7B2%7D%20-%202x%20-%201%20%7D%7B%20%7Bx%7D%5E%7B2

Anastaziya [24]

Answer:

$\displaystyle \frac{dy}{dx} = \frac{2x + 2}{x^3}$

Step-by-step explanation:

we would like to figure out the derivative of the following:

$\displaystyle \frac{ { 3x }^{2} - 2x - 1 }{ {x}^{2} }$

to do so, let,

$\displaystyle y = \frac{ { 3x }^{2} - 2x - 1 }{ {x}^{2} }$

By simplifying we acquire:

$\displaystyle y = 3 - \frac{2}{x} - \frac{1}{ {x}^{2} }$

use law of exponent which yields:

$\displaystyle y = 3 - 2 {x}^{ - 1} - { {x}^{ - 2} }$

take derivative in both sides:

$\displaystyle \frac{dy}{dx} = \frac{d}{dx} (3 - 2 {x}^{ - 1} - { {x}^{ - 2} } )$

use sum derivation rule which yields:

$\rm\displaystyle \frac{dy}{dx} = \frac{d}{dx} 3 - \frac{d}{dx} 2 {x}^{ - 1} - \frac{d}{dx} {x}^{ - 2}$

By constant derivation we acquire:

$\rm\displaystyle \frac{dy}{dx} = 0 - \frac{d}{dx} 2 {x}^{ - 1} - \frac{d}{dx} {x}^{ - 2}$

use exponent rule of derivation which yields:

$\rm\displaystyle \frac{dy}{dx} = 0 - ( - 2 {x}^{ - 1 -1} ) - ( - 2 {x}^{ - 2 - 1} )$

simplify exponent:

$\rm\displaystyle \frac{dy}{dx} = 0 - ( - 2 {x}^{ -2} ) - ( - 2 {x}^{ - 3} )$

two negatives make positive so,

$\displaystyle \frac{dy}{dx} = 2 {x}^{ -2} + 2 {x}^{ - 3}$

<h3>further simplification if needed:</h3>

by law of exponent we acquire:

$\displaystyle \frac{dy}{dx} = \frac{2 }{x^2}+ \frac{2}{x^3}$

simplify addition:

$\displaystyle \frac{dy}{dx} = \frac{2x + 2}{x^3}$

and we are done!

5 0

2 years ago

No body helped me the last time so I’m posting it again I really need help with this

PIT_PIT [208]

B is equal to 154 degrees. we know this cause half of the circle equals 180 and if you subtract a (26) from 180 you get 154

3 0

2 years ago

Find a fraction with a demominator of 30 that is equivalent to 1/3

Harman [31]

Answer:

10/30

Step-by-step explanation:

First, multiply the denominator by 10 to make 30.

Then, since we multiplied the denominator, we multiply the numerator. 1 x 10= 10

Therefore the answer is 10/30.

4 0

2 years ago

4. Sandra has 35% of the money she needs. She has $105. How much more money does she need? Write the equation and solve.

guajiro [1.7K]

Answer:

36.75

Step-by-step explanation:

First is turn the percent into a decimal which would be 0.35.

Then multiply 0.35 with 105

Finally this would equal to 36.75

Note: Hope I got it right, if I didn't I am very sorry this is all I can really do. If I did get it wrong please comment and I'll try again.

5 0

2 years ago

Which of the following is an equivalent form of the compound inequality −22 > −5x − 7 ≥ −33?

Finger [1]

The equivalents of the given compound inequality are x > 3 and x ≤ 5.2 OR 3 < x ≤ 5.2

<h3>Solving inequalities </h3>

From the question, we are to determine the equivalent form of the compound inequality

We will solve the given compound inequality

The given inequality is

−22 > −5x − 7 ≥ −33

We can write that

−22 > −5x − 7 AND −5x − 7 ≥ −33

Solving −22 > −5x − 7

5x > -7 +22

5x > 15

x > 15/5

x > 3

Also,

Solve −5x − 7 ≥ −33

−5x ≥ −33 +7

-5x ≥ -26

x ≤ -26/-5

x ≤ 5.2

Hence, the equivalents of the given compound inequality are x > 3 and x ≤ 5.2 OR 3 < x ≤ 5.2

Learn more on Inequalities here: brainly.com/question/20356565

#SPJ1

5 0

1 year ago