By what least number should 4851 be divided to get a perfect square number ? Also find the square root of the square number so obtained ?​

Answers

Answer 1

Answer:

The least number should 4851 be divided to get a perfect square number = 11

The square root of the obtained perfect square number is 21

Step-by-step explanation:

Given number = 4851

It can be written as

4851 = 3×1617

4851 = 3×3×539

4851 = 3×3×7×77

4851 = 3×3×7×7×11

4851 = (3×3)×(7×7)×11

It is clear that We should divide the given number by 11 then we get a perfect square number.

4851/11 = 441

441 = 21×21

=> 441 = 21²

=> √441 = √(21²)

=> √441 = 21

Answer:-

The least number should 4851 be divided to get a perfect square number = 11

The square root of the obtained perfect square number is 21

Used Method :-

→ Prime Factorization Method

Answer 2

Answer:

11 is the least number and the when you take the square root of the number you get 21

Step-by-step explanation:

The easiest way to solve this problem is guess and check.

First of all, a perfect square NEEDS to be a WHOLE number

Since 4851 is odd, you cannot divide it by an even number evenly, as it would result in a number with a remainder or leftover decimal amount.

This means you cannot divide by 2, 4,8...etc

We just have to guess and check odd numbers starting at 3.

4581/ 3 = 1527                 sqrt(1527) = 39.07684737    decimal so not this one

4581/ 5 = 916.2               decimal so not this one

4581/ 7 = 654.4285714  decimal so not this one

4581/ 9 = 509                 sqrt(509) = 22.56102835     decimal so not this one

4581/ 11 = 441                  sqrt(441) = 21

This is the first instance where 4581 is divisible by a number that yields a perfect square, so 11 is the least number and the square root of the result is 21.


Related Questions


please help i need to solve for c by setting up an equation and then solving the equation

Answers

Answer:

x = 63.34 degree

Step-by-step explanation:

2x-10 + x = 180 as al straight lines add up to 180 degrees

3x -10 = 180

+ 10        +10

3x = 190     add 10 to both sides  as shown to cancel left side

x = 190/3

x = 63.33334  degree to 5 dp

x = 63.34 degree to 2 dp.

Identify two statements that contradict each other.
I. ZM is an obtuse angle.
II. m ZM +mZP= 90
III. 180 – mZM = 25
IV. mZP= 120

Answers

If ZM is an obtuse angle (greater than 90), then ZM and ZP will not add up to 90.

If ZP is 120, then ZM and ZP will not add up to 90.

There are multiple contradicting statements within this problem, as noted above.

Hope this helps!

Options A and B are two contradict statements.

The four statement are given, we need to find the two contradict statements.

What is an obtuse angle?

The definition of an obtuse angle in geometry states that 'an angle whose measure is greater than 90° and less than 180° is called an obtuse angle.

Here, m∠M is an obtuse angle and m∠M +m∠P= 90° are two contradict statements

Since, in m∠M +m∠P= 90° two angles adds up to 90°, so m∠M can not be obtuse angle.

Therefore, options A and B are two contradict statements.

Learn more about an obtuse angle here:

https://brainly.com/question/4022946.

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I think of a number. Then I multiply it by 3. Then I add 4. Then I divide the answer by 4. My final answer is 3 less than the number I thought of at the beggining.

Whats the alegbrac equation?
Solve the probelm to find the number at the start.

Answers

Answer:

(3n+4)/4 = n-3

Step-by-step explanation:

n = original number

n = 16

The algebraic inequality will be (3x + 4) / 4 > 3. Then the value of x will be greater than 8/3.

What is inequality?

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

I think of a number.

Let the number be 'x'.

Then I multiply it by 3. Then the expression will be

⇒ 3x

Then I add 4. Then the expression will be

⇒ 3x + 4

Then I divide the answer by 4. Then the expression will be

⇒ (3x + 4) / 4

My final answer is 3 less than the number I thought of at the beginning. Then we have

(3x + 4) / 4 > 3

Simplify the equation, then the value x will be

(3x + 4) / 4 > 3

3x + 4 > 12

3x > 8

x > 8/3

The algebraic inequality will be (3x + 4) / 4 > 3. Then the value of x will be greater than 8/3.

More about the inequality link is given below.

https://brainly.com/question/19491153

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Evaluate: log(a³b²/c⁴) + log(bc³/a²) - log(a/c) = ?​

Answers

[tex]\large\underline{\sf{Solution-}}[/tex]

We have to evaluate the logarithm.

Given That:

[tex] \rm = \log \bigg( \dfrac{ {a}^{3} {b}^{2} }{ {c}^{4} } \bigg) + \log \bigg( \dfrac{b {c}^{3} }{ {a}^{2} } \bigg) - \log \bigg( \dfrac{a}{c} \bigg)[/tex]

We know that:

[tex] \rm\red\longmapsto \log(x) + \log(y) = \log(xy) [/tex]

[tex] \rm \red\longmapsto \log(x) - \log(y) = \log \bigg( \dfrac{x}{y} \bigg) [/tex]

Therefore, we get:

[tex] \rm = \log \bigg( \dfrac{ {a}^{3} {b}^{2} }{ {c}^{4} } \times \dfrac{b {c}^{3} }{ {a}^{2} } \bigg) - \log \bigg( \dfrac{a}{c} \bigg)[/tex]

[tex] \rm = \log \bigg( \dfrac{ {a}^{3 - 2} {b}^{2 + 1} }{ {c}^{4 - 3} } \bigg) - \log \bigg( \dfrac{a}{c} \bigg)[/tex]

[tex] \rm = \log \bigg( \dfrac{a{b}^{3} }{c} \bigg) - \log \bigg( \dfrac{a}{c} \bigg)[/tex]

[tex] \rm = \log \bigg( \dfrac{a{b}^{3} }{c} \div \dfrac{a}{c} \bigg)[/tex]

[tex] \rm = \log \bigg( \dfrac{a{b}^{3} }{c} \times \dfrac{c}{a} \bigg)[/tex]

[tex] \rm = \log( {b}^{3})[/tex]

As we know that:

[tex]\rm \red\longmapsto \log( {x}^{n}) = n \log(x)[/tex]

Therefore, we get:

[tex] \rm = 3\log(b)[/tex]

The following expression can be solved in 5 steps using the rules of order of operations. Write the step by step solution in the spaces provided below: [(-2)²×3]÷[(-9)-5+2]Note: You may copy the question from the previous step and replace the operation performed with the result. For example, given the question 4²-6×2, you would copy the question and replace the index term in step 1: 16-6×2. For step 2, you copy the expression from step 1 and replace the product to get: 16-12. In step 3, you only have one operation left to perform so you just need to write the final answer: 4

Answers

Answer:

Step-by-step explanation:

[(-2)²×3]÷[(-9)-5+2]

=(4*3)/[(-9)-5+2]

=12/(-12)

=-1

Ten percent of the cost of a swimming pool is $430. How much does the swimming pool cost?

Answers

The swimming pool would cost $4300. This is because 430*10 is 4300. 10% of 100 is 10. So we can safely say it’s $4300

kelsey withdraws $25 per week from her bank account. Each week, Kris deposits $15 of his allowance and $20 earned from dog walking each week into his bank account. After how many weeks will they have the same amount of money

Answers

Answer:

Step-by-step explanation:

Brownies sell for $.75
and cookies sell for $.40. If
Brady wants 3 brownies and 2
cookies. He brought $3. Does
Brady have enough money to
buy the treats? NO LINKS PLEASE

Answers

Answer:

No

Brady is 5 cents short

Step-by-step explanation:

.75x3=$2.25

.40x2=0.80

$2.25+0.80=$3.05

Answer:

No

Step-by-step explanation:

3 brownies = $.75 * 3 = $2.25

2 cookies = $.40 * 2 = $.80

$2.25 + $.80 = $3.05, which is over $3

He is 5 cents short.

Hope this helped!

(and taxes of course)

Please help!What are the values of x and y? i’m so confused on this particular one.

Answers

x = 20 and y = 34 !!!!
X+14=2x-6
-14. -14
X=2x-20
-2x -2x
-2x=-20
/-2 /-2
X=10
Y is also 10 because they are corresponding

what is the answer to 10x+3x

Answers

Answer:

refer to the attachment

Step-by-step explanation:

hope that helps

Answer: 13x because you can combine them together because they both have the same variable.

What is the value of x?
(The diagram)..

Answers

10

Step-by-step explanation:

x + 5 = 2x - 5

x + 5 - x = 2x - 5 - x

5 = x - 5

5 + 5 = x

10 = x

Answer:

The value of X is 10

Step-by-step explanation:

X+5=2x-5(corresponding sides of an angle)

5+5=2x-x

10=x

So,x=10

Identify if the relation is a function & explain your answer (help please ! it’s due at 11:59) !! Tysmm

Answers

Answer:

yes it is a function

Step-by-step explanation:

reason why is if u do the virtical line text it shows that it is a function,

another explanation is it doesn't have two of the same x- values

what is the sum of 3 - 2i and -5 + 6i?

Answers

Answer: -2 + 4i

Step-by-step explanation: I'm pretty sure you can't get the sum, but you can simplify the problem. All you need to do is combine like terms. -2i and 6i = 4i. 3 - 5 = -2.

how do you do this math problem 3(x-2)=9

Answers

Answer:

x=5

Step-by-step explanation:

3(x-2)=9

3x-6=9

3x=9+6

=15

x=15÷3

=5

3(x-2)=9
Distribute the 3
3x-6=9
-6 -6
3x=3
X=1

half of a number gives twelve

1/2x + 12 or x/2=12

Answers

Answer:

24

Step-by-step explanation:

1/2(24) = 12

and/or

24/2 = 12

Is this what you wanted?

Given the function g(x) = x2 + 5x + 1, determine the average rate of change of
the function over the interval -5 < x < 4.

Answers

Step-by-step explanation:

the average rate of change between two input values is the total change of the function values (output values) divided by the change in the input values.

so,

(g(4) - g(-5)) / (4 - -5)

g(4) = 4² + 5×4 + 1 = 37

g(-5) = (-5)² + 5×-5 + 1 = 25 - 25 + 1 = 1

4 - -5 = 4 + 5 = 9

(37 - 1)/9 = 36/9 = 4

the average change rate in that interval is 4 (or fully 4/1).

(-9+5) = (12 – 10)

help pls

Answers

Answer:

-4 = 2

Step-by-step explanation:

Answer:

-4 = 2

Step-by-step explanation:

The price p in dollars and the quantity x sold of a certain product obey the demand equation -1/5x+100 (0≤ x ≤ 500)
a) Express the revenue R as a function of x. (remember, R= p.x)

b) What is the revenue if 200 units are sold?

c) What quantity x that maximizes the revenue?

e) What price should the company charge to maximize revenue?

Answers

Answer:

See below

Step-by-step explanation:

We have:

p = -1/5x + 100 = -0.2x + 100

a) The revenue is:

R = px R = x( -0.2x + 100)R= -0.2x² + 100x

b) x = 200, find R:

R = -0.2(200²) + 100(200) = 12000

c) This is a quadratic function and the maximum value is obtained at vertex.

x = -100/(-0.2*2) = 250 is the required quantity

d) The max revenue is obtained when -0.2x + 100 at max:

The maximum possible is p = 100 when x = 0

plsss someone help i will give brainlyest
i need help with the photo

Answers

Answer: (n^6 j^6)/(8h^5)

Step-by-step explanation:

The k term disappears (k^5 * k^-5) = 1j^-6 moves to the top as j^6(h^-2)/((h^-6)*(h^3)) = 1/h^51/(2*2*2) = 1/8

Therefore:  n^6*j^6/8h^5

Please help and do a step by step thank you!

Answers

Answer:

y= -3x +10

Step-by-step explanation:y = mx +b where

m is your slope rise/run and

b is the y intercept


If x 2 = x, then x = 1 true or false?

Answers

Answer:

False

Step-by-step explanation:

If x * 2 = x, and you use 1 as the insert for x, then you would be saying that 1 * 2 = 1, and that is incorrect.

Answer:

I assume the value is x² right from the qn.

With that

x² = x

if x = 1

then

1² = 1

hence the value is true.

20 POINTS

Look at the figure. How can you prove AABD and AACD are congruent?
is it
A)

B)

C)

Answers

I beileve the anwser is A

Plzzzzzz help
Use the graph to answer the questions.
At what elevation did Julio begin?
At what elevation did Kathy begin?
Elevation (miles)
Who made it to 8 miles first?
Who experienced a greater elevation change?

Answers

Julio began at an elevation of 4 miles.
Kathy began at and elevation of 0 miles.
Kathy made it to 8 miles first.
Kathy experienced a greater elevation change.

graph this line using the slope and y intercept: y=x​

Answers

Answer:

done.

Step-by-step explanation:

yeah-ya..... right?

The purpose of this form is so that your employer can withhold the correct amount of federal income tax from your pay.


I-9 form


W-4


application


Time Sheet

Answers

I-9 form, hope this helps

write the equation of the line that passes through the points (8, 2) and (0, 6)

Answers

Answer:

Step-by-step explanation:

m = (y2 - y1)/(x2-x1)

m = (6-2)/(0-8)

m = 4/-8

m = -1/2

y = mx + b

(2) = (-1/2)(8) + b

2 = -4 + b

b = 6

equation of the line is:

y = (-1/2)x + 6

please help me I need this done​

Answers

What I can’t read the problems

What is 7/56 simplified

Answers

Answer:

1/8  

Step-by-step explanation:

BOOM!

Answer:

1/8

Step-by-step explanation:

broken down into fractions 1/8 is the simplest answer

What is transversal?​

Answers

Answer:

A transversal is a line that intersects two parallel lines .

like shown in the diagram above

hope it is helpful to you please follow give brainliest ✌❣❣

If 8% of a number equals 30, find 40% of that number.

Answers

If 8% of a number equals 30, 40% of that number 150.

The percentage of a given number is the fraction of that number divided by 100.

Let assume that the unknown number is (a).

So, 8% of a = 30.

i.e.

0.08a = 30

Making (a) the subject of the formula now;

a = 30/0.08a = 375

Now, we are meant to determine the 40% of that unknown number (a)

Since (a) has been determined to be 375.

Then, 40% of 375 is calculated as:

[tex]\mathbf{=\dfrac{40}{100} \times 375}[/tex]= 150

Learn more about percentage here:

https://brainly.com/question/2155156?referrer=searchResults

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