Rajan is given half a chocolate to divide amongst 4 people including himself what fraction of the whole chocolate is he left with?
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#1

Change of base formula is given by

[tex]\\ \rm\Rrightarrow log_ab=\dfrac{log_db}{log_da}[/tex]

#2

Two most common bases are

As general logarithm has base 10 and natural has base e hence these two are most used

#3

We use e as base

[tex]\\ \rm\Rrightarrow log_23[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{log_e3}{log_e2}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{ln3}{ln2}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{1.0986122886681}{0.6931471805599}[/tex]

[tex]\\ \rm\Rrightarrow 1.6[/tex]

Answer:

A washer and dryer cost a total of $964 . The cost of the washer is three times the cost of the dryer. Find the cost of each item.

Answer: 96$

Answer:

The washer costs $723 and the dryer $241.

Step-by-step explanation:

Represent the cost of the washer by w and that of the dryer as d.

Then w = 3d.

Since w + d + $964, we get 3d + d = $964, or 4d = $964, or d = $241.

Three times that is $723.

The washer costs $723 and the dryer $241.

Answer:

firast divide it by the nearest decimal, then convert your answer into simplest form and you will have your answer.

Step-by-step explanation:

Answer:

can you guys please teach me how to do that

Answer:

Perimeter = 30 in

Step-by-step explanation:

Pythagoras' Theorem: a² + b² = c²

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

Given:

Substitute given values into the formula and solving for a:

⇒ a² + 12² = 13²

⇒ a² + 144 = 169

⇒ a² = 25

⇒ a = 5 in

Therefore, perimeter = a + b + c

                                   = 5 in + 12 in + 13 in

                                   = 30 in

Final Answer:

[tex]\fbox{perimeter \: of \: triangle = 30 \: in.}[/tex]

Step by Step explanation:

Data achieved from diagram:

The given triangle is a right angle triangle

Hypotenuse of triangle = 13 in.

Base of triangle = 12 in.

To find:

Perimeter of triangle = ?

Solution:

We need length of all three sides (Altitude) of triangle,

let's find out the measure of length of Altitude using Pythagoras theorem!

[tex]{Hypotenuse}^2 = {Base}^2 + {Altitude}^2 \\ {13}^{2} = {12}^{2} + {A}^{2} \\ {A}^{2} = 169 - 144 \\ {A}^{2} = 25 \\ {A} = \sqrt{25 } \\ \fbox{A = 5 \: in.}[/tex]

Now we have all three sides of triangle,

[tex]perimeter \: of \: triangle = Hyp. + Base + Alt. \\perimeter \: of \: triangle = 13 + 12 + 5 \\ \fbox{perimeter \: of \: triangle = 30 \: in.}[/tex]

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Answer:

D. 60

Step-by-step explanation:

Height = constant / width

30 = c / 2

2* 30 = 60

c = 60

12 = c / 5

12 * 5 = 60

c = 60

10 = c / 6

10 * 6 = 60

c = 60

Answer:

Step-by-step explanation:

To determine a volume, you need a volume formula.

Volume:

[tex]\Longrightarrow:\sf{V=l*w*h}[/tex]

Multiply these numbers from left to right.

[tex]\sf{7.1m*5.2m*3.4m=\boxed{\sf{125.5m^{3}}}[/tex]

I hope this helps you! Let me know if my answer is wrong or not.

Step-by-step explanation:

This equation is known as slope-intercept form.

Parts of the slope-intercept form equation:

[tex]y=mx+b[/tex]

m represents the slope.

b represents the y-intercept.

In the equation, [tex]-\frac{1}{2}[/tex] is in the placement of m.

We can conclude that [tex]-\frac{1}{2}[/tex] is our slope.

Learn more about the slope of a line:

Answer:

B. the area of a rectangle with side lengths 1.40 and x

Step-by-step explanation:

To find the area of a rectangle, multiply the length by the width.

If 1.40 is the length, x is the width.

1.40×x=1.40x

So B is the correct answer.

Answer:

47

Step-by-step explanation:

Determine if the sequence is arithmetic or geometric.

The difference between each term in the sequence is constant, so this is an arithmetic sequence.

To calculate the common difference, subtract one term from the next term:

14.5 - 8 = 6.5

21 - 14.5 = 6.5

27. 5 - 21 = 6.5

34 - 27.5 = 6.5

40.5 - 34 = 6.5

So the common difference is 6.5

To find the next term in the sequence, add 6.5 to the last term given:

40.5 + 6.5 = 47

Answer:

The answer is B. 1/4^8

Step-by-step explanation:

Every time the power it to the negative it inverse it.

An example, 2^-2 = 1 / 2^2

So, 4^-8 = 1 / 4^8

Answer:

82•5°

Step-by-step explanation:

[tex]28 + 68.5 + x = 180[/tex]

[tex]x = 180 - 97.5[/tex]

[tex]x = 82.5[/tex]

Here,

let the forth degree of the quadrilateral be y

Then,

90° +90° +68.5° + y =360° (all the interior angle of a quadrilateral is 360°)

or, 248.5+ y=360°

or, y = 360° - 248.5°

or, y= 111.5°

Again, the second angle of the triangle be a

Then,

a=111.5(vertically opposite angle)

Lastly,

29° + 111.5° + x = 180°(all the interior angle of a triangle is 180°)

or, 140.5° + x = 180°

or, x =180° - 140.5°

or, x=39.5°

Answer:

140

Step-by-step explanation: all you have to do is add all the numbers then multiply those by 4 then you will get 140

Answer:

37.1

Step-by-step explanation:

37.1

Answer:

the first

Step-by-step explanation:

the first and the second set both multiply out correctly to the original expression, but -2x² is of greater dimension than -2x.

Answer:

10-3x

Step-by-step explanation:

let the number=x

thrice the number becomes 3x

Answer:

152.4

Step-by-step explanation:

30%+10%=40%

100%-40%=60%

254*0.60=152.4

Answer:

y = x+2

Step-by-step explanation:

y = mx +c

y-intercept is +2

so y = mx + 2

the slope of the line is one across one up so

y = x+2

Answer:

Step-by-step explanation:

At y-intercept, x =0

So, from the graph, y-intecept = b = 2

Equation of the line: y =mx +b

y = mx + 2

Choose any point on the line and substitue in the above equation and we get the slope(m)

(-2 ,0)

0 = m*(-2) + 2

0 = -2m + 2

-2 = -2m

-2/-2 = m

m= 1

Equation of the line: y = x + 2

Answer:

18πm

Step-by-step explanation:

The area is πr^, so to find just the radius, take the square root of 81.

This means the radius is 9, and because the formula for the circumference is 2πr, simply double it and multiply by π to get 18π.

If you found this helpful, I would appreciate if you gave me the brainliest award :D

The earned income is $80,000 and the capital income is $5,000. Then the correct option is B.

A profit in the value of an asset then an investor can make a profit by selling an asset. Then selling price of an asset must be greater than the cost of an asset.

Padraig is a financial advisor.

He earned a salary of $80,000 last year and sold stocks for $5,000.

A salary of $80,000 is known as earned income because of employment bases.

$5,000 is a capital gain because this is obtained from the selling of stocks.

The income gained by the interest income, rental income, or dividend income is known as passive income.

More about the capital income link is given below.

https://brainly.com/question/14103167

Answer: Both of these events are more likely.

Step-by-step explanation:

Since we have given that

Probability that she is getting injured playing volleyball = 0.1

Probability that she is getting injured playing soccer is given by

Since we need to compare both the probabilities so, for this we first need to change the second probability in decimal form.

So,

since both the events have same probability.

Hence, Both of these events are more likely.Step-by-step explanation:

Answer:

Its is 405 gallons

Step-by-step explanation:

If you need an explanation lmk!!!

Answer:

405 gallons

Step-by-step explanation:

The formula to find the amount of water is g=9m-0.17, so 45 is gonna go into the m spot

g=9(45)-0.17

g=405-0.17  <-After you multiply 9 and 45

g=404.83

Now you must round to nearest whole which is 405

I hope this helps

Answer:

Step-by-step explanation:

a and b are parallel lines. So, alternate interior angles are congruent.

∠2 = 64.8°

∠3 = 30.5°

Sum of all angles of triangle  = 180

∠1 + ∠2 + ∠3 = 180

∠1 + 64.8 + 30.5 = 180

           ∠1  + 95.3 = 180

                       ∠1 =  180 - 95.3

                        ∠1  =  84.7°

Answer:

20%

0.5

Step-by-step explanation:

There are 20 margins, so you have to count how many are 6.0 or higher. There are 4 margins that fit this so you divide the 4 margins by 20, then multiply the quotient by 100. That's how you get 20%.

The most common time was 0.5.

Answer: Would the total be 20 Students? What exactly is the question

Step-by-step explanation:

10 + 10 = 20

Answer:

OC is correct

Step-by-step explanation:

The greater answer is always gonna be the closest one to zero on the number line.

Hopefully this helps!

Answer:

112

Step-by-step explanation:

So, we know that a triangle's sides must add up to have a sum of 180. If you add up your given lengths and you should get 47, not including x. Then if you look at the left side/the one without a given length and it should be identical to the 21, so you know that side is 21. So now add 21 to 47, you should get 68. Finally, you subtract 68 from 180 like this: 180-68, and it should equal 112. So you're answer is 112.

Answer:

x=4/5

Step-by-step explanation:

Add 18 to both sides and simplify

Answer:

0.0332

Step-by-step explanation:

Min put too many zeros in front of 33.2. 33.2 with 3 zeros in front is 0.0332