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3 years ago

9

How many one-fifths pieces of pizza are in 5 pizzas

2 answers:

Natalija [7]3 years ago

8 0

It's 25, it's saying that the pizza is in 5ths so how many 1/5ths is in 1 pizza? There would be 5 bc 5/5 is a whole so that's one... so there are 5 fiths in each pizza and there are 5 pizzas so 5x5=25

SSSSS [86.1K]3 years ago

5 0

10 1/5 times 5/1 add the zero

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Rationalize the denominator of $\frac{5}{2+\sqrt{6}}$. The answer can be written as $\frac{A\sqrt{B}+C}{D}$, where $A$, $B$, $C$

horrorfan [7]

Answer:

$A +B+C+D = 3$ is the correct answer.

Step-by-step explanation:

Given:

$\frac{5}{2+\sqrt{6}}$

To find:

$A+B+C+D = ?$ if given term is written as following:

$\frac{A\sqrt{B}+C}{D}$

<u>Solution:</u>

We can see that the resulting expression does not contain anything under $\sqrt$ (square root) so we need to rationalize the denominator to remove the square root from denominator.

The rule to rationalize is:

Any term having square root term in the denominator, multiply and divide with the expression by changing the sign of square root term of the denominator.

Applying this rule to rationalize the given expression:

$\dfrac{5}{2+\sqrt{6}} \times \dfrac{2-\sqrt6}{2-\sqrt6}\\\Rightarrow \dfrac{5 \times (2-\sqrt6)}{(2+\sqrt{6}) \times (2-\sqrt6)} \\\Rightarrow \dfrac{10-5\sqrt6}{2^2-(\sqrt6)^2}\ \ \ \ \ (\because \bold{(a+b)(a-b)=a^2-b^2})\\\Rightarrow \dfrac{10-5\sqrt6}{4-6}\\\Rightarrow \dfrac{10-5\sqrt6}{-2}\\\Rightarrow \dfrac{-5\sqrt6+10}{-2}\\\Rightarrow \dfrac{5\sqrt6-10}{2}$

Comparing the above expression with:

$\frac{A\sqrt{B}+C}{D}$

A = 5, B = 6 (Not divisible by square of any prime)

C = -10

D = 2 (positive)

GCD of A, C and D is 1.

So, $A +B+C+D = 5+6-10+2 = \bold3$

5 0

3 years ago

The price of a television was reduced from 250 to 200. by what percentage was the price of the television reduced

Murljashka [212]

Answer:

20%

Step-by-step explanation:

We can start by finding out how much the price of the television was reduced by.

250 - 200 = 50

Now, we need to know what percent of 250 is 50? Let x represent the percent of 250 that is 50. Using this, we can set up an equation:

<u /> $x\%\times 250=50$

Notice that a percentage can also be written as that number over 100.

$\frac{x}{100}\times250=50$

$\frac{250x}{100}=50$

Reduce the fraction (250 and 100 have a common factor of 10)

$\frac{25x}{10}=50$

Reduce the fraction again (25 and 10 have a common factor of 5)

$\frac{5x}{2}=50$

Multiply both sides by two

$5x=100$

Divide both sides by 5

$x=20$

Therefore the price of the television was reduced by 20%.

4 0

1 year ago

Flura [38]

｡☆✼★ ━━━━━━━━━━━━━━ ☾ ━━━━━━━━━━━━━━ ★✼☆｡

- First find the area of the whole circle

The equation is :

πr^2

Substitute the radius in:

π(5)^2

Solve:

Area of full circle = 25π

(Note : leave this answer in terms of 'pi' so it is easier to handle

Next, find the area of the sector

The equation for this is:

(angle/360) x πr^2

Substitute the values in:

(80/360) x π(5)^2

Solve :

Area of sector = (50/9)π

Now, find the area of the triangle:

1/2 absinC

Substitute the values in:

1/2(5)(5) x sin(80) = 12.31009691

Subtract this answer from the area of the sector

Answer = 5.14319607

Subtract this from the area of the whole circle

Answer = 73.39662073

To the nearest tenth, that would be 73.4 cm^2

Have A Nice Day ❤

Stay Brainly! ヅ

- Ally ✧

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8 0

3 years ago

Read 2 more answers

What is an equation of the line perpendicular to 5x-4y=10 that passes through the point (-1,-6)?

Jobisdone [24]

Answer:

$y = - \frac{4}{5} x - \frac{34}{5}$

Step-by-step explanation:

Attached above

3 0

3 years ago

The coordinates of the four vertices of the rectangle are (1,-1), (4,-1), (4,1), and (1,1). The perimeter of the rectangle is ho

vlada-n [284]

Answer:

10

Step-by-step explanation:

4-1=3 (length of base)

-1-1=-2 (absolute value of height is 2)

3+2+2+3=10

5 0

3 years ago