Rationalise the denominator and simply

Rationalise The Denominator And Simply

Answers

Answer 1

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Let's solve :

[tex] \dfrac{24}{ \sqrt{6} } [/tex]

[tex] \dfrac{24}{ \sqrt{6} } \times \dfrac{ \sqrt{6} }{ \sqrt{6} } [/tex]

[tex] \dfrac{24 \sqrt{6} }{6} [/tex]

[tex]4 \sqrt{6} [/tex]
Answer 2

Answer:

4√6

Step-by-step explanation:

=> 24/√6 ×√6/√6

=> 24√6/6

=> 4√6

hope it's helpful to you ☺️


Related Questions

ggj helpppppppp pls?​

Answers

7.5g of butter
So for 8 pancakes 5g of butter is needed.
So to make one pancake we have to divide 5 by.
5/8 = 0.625
And then you times 0.625 by 12 to find out how much butter is needed for 12 pancakes

So the answer is
7.5g of butter

(i)To make 8 pancakes 250 ml milk is needed. So, to make 4 pancakes=

(250/8)×4=120 ml is needed!

(ii)To make 8 pancakes 5g butter is needed and to make 12 pancakes=

(5/8)×12=7.5 g butter is needed!

distance between the
points (3,7) (-5,16)

Answers

sqrt 145 is your answer
Square root of 145, which is 12.04 in decimal form

lets talk about the basics of pythagoras (maths)?​

Answers

Answer:

Is there a question?

Step-by-step explanation:

The Pythagorean theorem states that for any right triangle with legs of length “a” and “b” and a hypotenuse of length “c,” the lengths of the sides always satisfy the relationship, “a^2 + b^2 = c^2.” In other words, the sum of the squares of the lengths of the two legs of a triangle is equal to the square of its hypotenuse. The formula is alternatively written with the hypotenuse length isolated (i.e., c = Sqrt(a^2 + b^2).

This is the definition.

An online company is advertising a microwave oven on sale for 35% off the original price of $253.99. What is the sale price for the microwave oven? Round your answer to the nearest cent, if necessary.

Answers

Answer:

The answer is $88.90

Step-by-step explanation:

$253.99÷.35=88.896. Rounding up the 6 makes the 89 to 90.

E
01:24
When solving the equation, which is the best first step to begin to simplify the equation?
-2(x+3) =-10
o(-2)(-2)(x+3) =-10(-2)
3–20x+ 3) --10(
2(x+3) = -10
f(x+3) - 10

Answers

Answer:

hi

Step-by-step explanation:

the answer is A

Blake bought a total of 24
doughnuts. Each doughnut cost
$0.84, including tax. Of the
doughnuts he bought, 5/8 were
glazed doughnuts. What was the
total cost of the glazed doughnuts?

Answers

5/8 = 0.625 = 62.5%

If 62.5% were glazed then you must find 62.5% of 24.

Equation…

x=0.625(24) = 15

if each costs $0.84 cents plus tax then you will multiply by 15.

15 x .84 = 12.6

The total cost was $12.60

Answer:

$27.60

Step-by-step explanation:

Step 1: Find 5 over 8 of 24

[tex]\frac{5}{8}[/tex] doughnuts were glazed. So the total is 24. Now we just have to find 5 over 8 of the total.

[tex]\frac{5}{8} \times 24[/tex]

Or

[tex]\frac{5}{8} \times \frac{24}{1}[/tex]

Cross divide 8 and 24

[tex]24\div 8 = 3\\\\\frac{5}{1} \times \frac{3}{1}[/tex]

So we are left with

[tex]5\times 3[/tex]

Remember, "1" doesn't change anything.

Simplify

[tex]5\times 3 = 15[/tex]

Therefore, the cost of the glazed doughnuts WITHOUT TAX is $15.

Step 2: Add the tax to the cost of the glazed doughnuts.

[tex]\$0.84[/tex]

To find the tax or sales tax, just multiply the sales tax (in decimal form, but it already is) to the total.

[tex]15\times \:0.84=12.60[/tex]

Now, add the result to the total.

[tex]12.60+15.00 = 27.60[/tex] (you don't have to add the zeros, but it still won't change anything)

The total cost of the glazed doughnuts is $27.60

What is the difference between a part to part ratio and a part to whole ratio. Use the example of a bowl that has two oranges and five bananas.

Answers

Part to part ratio is oranges to bananas, so: 2:5

Part to whole ratio is oranges to all fruits or bananas to all fruits.
Oranges to all fruits would be 2:7
Bananas to all fruits would be 5:7

Hope that makes sense

Part to part ratio

For 2 oranges and five bananas

2oranges:5bananas(2:5)

Part to whole ratio

2oranges:7pieces of fruit(2:7)

5bananas:7pieces of fruit (5:7)

All the best!

Check (24, 144, 145) is a Pythagorean triplet

Answers

Answer:

4, 144, 145 are not Pythagorean triplets

Step-by-step explanation:

According tp Pythagoras theorem,

Sum of squares of two sides must be equal to square of the third side.

By Pythagoras theorem,

24^2 + 144^2 = 145^2

576 + 20736 = 21025

           21312 ≠ 21025

Numbers 24, 144, 145 does not satisfy the Pythagoras theorem.

So, 24, 144, 145 are not Pythagorean triplets.

Hence, checked.

Answer:

It is not a Pythagorean triplet

The cube of the sum of two
numbers x and y.

Answers

Y=x^3+3x^2y+3xy^2+y^3

What are the x-intercepts of the parabola?

(4.5, 0) and (5,0)
(0, 4.5) and (0,5)
(0,5) and (0,4)
(5,0) and (4,0)

Answers

Answer:

(5, 0) and (4, 0)

General Formulas and Concepts:

Algebra II

Quadratics

Roots/x-intercepts of a parabola

Step-by-step explanation:

The x-intercepts of the parabola is where the quadratic is on the x-axis. According to the graph, we can see that the graph shows that the parabola touches the x-axis at 4 and 5.

∴ our answer is (5, 0) and (4, 0)

drag the expression to order them top to bottom from least to greatest.
-5 3/7. , -4 6/7, -4 3/7, 4 2/7 , 5 1/7​

Answers

Answer:

A) - 5 3/7

B) - 4 6/7

C) - 4 3/7

D) 4 2/7

E) 5 1/7

Step-by-step explanation:

- 5 3/7 ≈ - 5.43

- 4 6/7 ≈ - 4.86

-4 3/7 ≈ - 4.43

4 2/7 ≈ 4.29

5 1/7 ≈ 5.14

Find the value of x in the isosceles triangle shown below.

Answers

Answer:

B) [tex]x = \sqrt{60}[/tex]

Step-by-step explanation:

1. As you can see from the image, there are two right triangles in the isosceles triangle. The base of each right triangle is 2 (because 4 ÷ 2 = 2), and the hypotenuse is 8.

2. Let's use Pythagorean Theorem to find the height of each right triangle, which will also give us the height of the isosceles triangle: [tex]a^2 + b^2 = c^2[/tex], where a = height, b = base, and c= hypotenuse.

[tex]a^2 + 2^2 = 8^2[/tex] [tex]a^2 + (2*2) = (8*8)[/tex] [tex]a^2 + 4 = 64[/tex] (Simplify both sides of the equation)[tex]a^2 + 4 - 4 = 64 - 4[/tex] (Subtract 4 from both sides)[tex]a^2 = 60[/tex] [tex]\sqrt{a^2} = \sqrt{60}[/tex] (Take square root of both sides[tex]a = \sqrt{60}[/tex]

3. The√(60) is the height of each right triangle, and it's also the height of the isosceles triangle. Therefore, the answer is B) x = √60.

What is the area of a triangle with a base of 6.5 inches and a height of 8 inches?

Answers

Answer: 26 inches

Step-by-step explanation: 6.5 x 8 = 52/2 = 26  area of a triangle

1+1

I am thankful to all who said no to me. It is because of them that I’m doing it myself.I am thankful to all who said no to me. It is because of them that I’m doing it myself.I am thankful to all who said no to me. It is because of them that I’m doing it myself and I will be there in about it and I will be there in about it and I will be there in about it and I will be there in about it and I will be there in about it and I will be there in about it and I will be there in about it and I will be .​

Answers

Answer:

1+1= 2

umm r u ok

have a nice day <3

this is a CALCULUS question, "Derivatives As A function"


I want to know the answer and how did u get it, I'm really lost in this subject

Answers

Derivative Functions

The derivative function gives the derivative of a function at each point in the domain of the original function for which the derivative is defined. We can formally define a derivative function as follows.

Definition:

let f be a function. The derivative function, denoted by f', is the function whose domain consists of those values of  x  such that the following limit exists:

[tex]f'(x)= \lim_\\ \ \\ \frac{f(x+h)-f(x)}{h} {h \to 0}[/tex]

i neeed the answer now please

Answers

Answer - D

Explanation - In 2009 the value is 66.74 whilst in 2010 the value is 70.54. Because the line appreciates (increases) from 2009, the final answer will be a positive so you can knock off the first two answers. Now you just minus the value in 2010 from the value in 2009 which will give you 3.80 Dollars/Year

Answer:

D

Step-by-step explanation:

It is a positive gradient therefore the answers cannot be negative. Since it is an increase of 4 dollars it is option D.

Jon has to pay $5.00
admission for the skating rink
and $2.50 per hour to rent
rollerblades. How many
hours can he skate for $15?

Answers

Answer: 4 hours

Step-by-step explanation: 15-5=10 10/2.50 =4

Answer:

4 hours

Step-by-step explanation:

$15 is our initial value, and we have a flat fee of $5

15-5=10

We have a remaining $10 left to be divided by the $2.50 per hour

10÷2.50=4

4 tells us the number of hours

what is -3(6x+4)+20x

Answers

Answer:

2x - 12

Step-by-step explanation:

Given:

-3(6x+4)+20x

Distribute:

-18x-12+20x

Combine like terms:

2x-12

Hope this helps, have a nice day :))

Answer:

3 8 + 1 2

i searched it

To the nearest hundredth:
4.15
0.07
7000 1 + 0.07/4 ) ^ 4 x 15

Answers

Answer:

4.15 is same 4.15

0.07 is also same

Last one is 5.08 x 10^290

Solve equation for 5(x - 3) + 2 = 5(2x - 8) - 3​

Answers

Answer:

[tex]\boxed {\sf x=6}[/tex]

Step-by-step explanation:

[tex]\sf 5(x - 3) + 2 = 5(2x - 8) - 3[/tex]

Use the Distributive property :

[tex]\boxed { \sf Multiply\: 5\: by \:x\: and \:5\: by\: 3:}[/tex]

→ [tex]\sf 5x-15+2[/tex]

→ [tex]\sf -15+2[/tex]

[tex]\sf =-13[/tex]

[tex]\sf 5x-13[/tex]

______________________

[tex]\sf 5\left(2x-8\right)-3[/tex]

[tex]\boxed {\sf Multiply\: 5 \: by \: 2x \: and \: 5\: by\: -8:}[/tex]

→ [tex]\sf 10x-40-3[/tex]

→ [tex]\sf -40-3=-43[/tex]

[tex]\sf 10x-43[/tex]

_______________

[tex]\sf 5x-13=10x-43[/tex]

[tex]\boxed {\sf Add\: 13 \:to\: both\: sides:}[/tex]

[tex]\sf 5x-13+13=10x-43+13[/tex]

[tex]\sf 5x=10x-30[/tex]

[tex]\boxed{\sf Subtract\: -10x\: from\: both\: sides:}[/tex]

[tex]\sf 5x-10x=10x-30-10x[/tex]

[tex]\sf -5x=-30[/tex]

[tex]\boxed{\sf Divide \:both \:sides\: by \:-5:}[/tex]

[tex]\sf \cfrac{-5x}{-5}=\cfrac{-30}{-5}[/tex]

[tex]\sf x=6[/tex]

___________________________

Answer:

x = 6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right

Distributive Property

Equality Properties

Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify

5(x - 3) + 2 = 5(2x - 8) - 3

Step 2: Solve for x

(Parenthesis) Distribute:                                                                               5x - 15 + 2 = 10x - 40 - 3Simplify [Order of Operations]:                                                                     5x - 13 = 10x - 43[Subtraction Property of Equality] Subtract 10x on both sides:                  -5x - 13 = -43[Addition Property of Equality] Add 13 on both sides:                               -5x = -30[Division Property of Equality] Divide -5 on both sides:                               x = 6

Please help me!!! I really need this done!!!

Answers

Answer: c(t) = 2.4x + 6

ill give you the first two points, then you just go up 2.4 each hour

(0, 6)

(1, 8.4)

Answer:

c (t) = 2.4x+6

Step-by-step explanation:

if wrong pls forgive me

hope it helps tho

Pablo elp meeeeeee vvvv wwwwww ww w w

Answers

Answer:

pablo and lakaka vvvvvvvvvvvvvv

Step-by-step explanation:

Of 100 students, 30 can speak French, 10 can speak German, and 6 can speak both French and German. If a student is picked at random, what is the probability that he or she can speak French or German? (Enter your probability as a fraction.)

Answers

Answer:

the correct answer would be 1,800

factories
x²+6x+5-4y-y²​

Answers

Step-by-step explanation:

−5y)(20y−23x)

x(6x−5y)−4(6x−5y)

2

=(6x−5y)(x−4(6x−5y))

=(6x−5y)(x−24x+20y)

=(6x−5y)(20y−23x)

You want to buy a book the book is 8.50 but 24% off. How much will the book with 8% tax included?

Answers

Answer:

6.98

Step-by-step explanation:

8.50x.76(the remainder of 100 after 24 is taken out) =6.46

8% of 6.46 is around 52 cents

6.46+.52=6.98

A population numbers 11,000 organisms initially and grows by 7.7% each year.

Answers

The equation for that scenario is f(x) = 11000 * 1.077^x

Answer:

84,700 is the answer. If I multiply

what the answer to this math problom

Answers

Step-by-step explanation:

S=b*h/2=8*10/2=40m2

40*4=160m²

Answer:

60 m2

Step-by-step

i did that before hope this helps :)


If 37 grams of pure drug are contained in 150 milliliters, how many grams are contained in 75 milliliter?

Answers

Answer:

17.5

Step-by-step explanation:

The ratio of "pure drug" to liquid is 35:150

Therefore to evaluate for 75 mls we get the ratio 75/2150 or simply 1/2

multiply 35 by the ratio 1/2

35/2=17.5

What is y if 2y= 8x + 6

Answers

Answer:

[tex]y = \frac{8x + 6}{2}[/tex] = 4x + 3

Step-by-step explanation:

2y = 8x + 6

y = (8x + 6) / 2

y = 8x / 2 + 6 / 2

y = 4x + 3

Brain Builders
Trail
A
00
с
D
Processes
9. & Practices Model Math The
table shows the lengths of four trails
at a horseback riding camp. The
estimated length of all four trails is
12 miles. Find a possible length for
trail D. Show your work.
Length (mi)
2.6
1.8
4.2

Answers

Fatmagul neushe mode
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