Prove that 3 + 2√5 is irrational

Answer:

-1

Step-by-step explanation:

negative 1

45 boys, 27 girls

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Explanation:

g = number of girls

g+18 = number of boys, since there are 18 more boys than girls

For example, if g = 7, then g+18 = 7+18 = 25. In this example, we have 7 girls and 25 boys. The problem with this example is the ratio of boys to girls is 25:7 which is not equal to 5:3

We could use trial and error until we land on the solution, or we can use algebra as shown in the next section.

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The ratio of boys to girls is 5:3, meaning

(number of boys)/(number of girls) = 5/3

which turns into

(g+18)/g = 5/3

after we make the proper substitutions

Let's solve for g

(g+18)/g = 5/3

3(g+18) = 5g

3g+54 = 5g

54 = 5g-3g

54 = 2g

2g = 54

g = 54/2

g = 27

There are 27 girls.

This leads to,

g+18 = 27+18 = 45

So there are 45 boys

In total, we have 27+45 = 72 people

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Checking the answer:

The claim is that 45/27 is the same as 5/3

For now assume that claim is true. Set the fractions equal to each other and use cross multiplication like so

45/27 = 5/3

45*3 = 27*5

135 = 135

The third equation has the same thing on both sides, so it's a true equation. This must mean the first equation is true as well. Therefore, 45:27 and 5:3 are the same ratio and the answer is confirmed.

You could also use your calculator to note that

45/27 = 1.667

5/3 = 1.667

both decimal values are approximate.

The people there are in total of 72 students

Let the ratio of boys to girls be 5x: 3x

The ratio of boys to girls in a group is 5:3.

no. of boys = 18 + no. of girls

=> 5x = 18 + 3x

=> 5x - 3x = 18

=> 2x = 18

=> x = 18/2

x= 9

No. of boys = 5x

No. of boys= 5 × 9

No. of boys= 45

No. of girls = 3x

No. of girls= 3 × 9

No. of girls= 27

Total = 45 + 27

Total= 72

Hence, there are 72 students there.

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Answer:

b) [tex]f^-1(x)[/tex]= ∛(4x-24)

c)2

Step-by-step explanation:

these ones are inverse functions

change the f(x) for y and make x the subject

y= x³/4 +6

(y-6)x 4 = x³

∛(4y-24)= x

then put x back were y is

[tex]f^-1(x)[/tex]= ∛(4x-24)

and to do c just put in 8 where x is

∛(4(8)-24)= 2

Answer:

The formula for the volume of a cube is V=s3 where V is the volume and s is the length of a side solve the formula for s. 2.

Step-by-step explanation:

I think.

Answer:

I had it before and it is 15 ft²

Do you mean exponential form as in scientific notation or as in prime factorization.

Now matter I will do both.

As in scientific notation.

200*75

=150*100

=1.5*10000

=1.5*10^4

As in prime factorization.

200*75

=2^3*5^2*3*5^2

=2^3 * 3 * 5^4

Do the one your teacher ask for :) Hope it helps!

Answer:

idek

Step-by-step explanation:

Answer: x=6

Step-by-step explanation:

Hope this helps

Answer: 16.6

Step-by-step explanation:

a² + b² = c²

7² + b² 18²

49 + b² = 324

Subtract 49 from both sides

b² = 275

√b² = √275

b = 16.583

16.583 ≈ 16.6

What 8?

There is no 8 in the problem.

The answer is not a specific value for n.

3n < 18

Divide both sides by 3.

3n/3 < 18/3

n < 6

ANSWER: n < 6

What does the answer mean?

It means that n must be less than 6 to make the original inequality a true statement.

Answer:

Step-by-step explanation:

The area of the rectangle is 240 square inches if the length of a rectangle is  8 inches longer than the width. If the ratio of the length to the perimeter is 5:16.

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

It is given that:

The length of a rectangle is  8 inches longer than the width. If the ratio of the length to the perimeter is 5:16

As we know, the two-dimensional geometry in which the angle between the adjacent sides is 90 degrees. It is a type of quadrilateral.

Let l and w be the length and width of the rectangle:

l = 8 + w

w = l - 8

l/P = 5/16  (the length to the perimeter is 5:16)

P is the perimeter of the rectangle.

P = 2(l + w)

l/[2(l + w)] = 5/16

16l = 10(l + w)

8l = 5(l + l - 8)

8l = 10l - 40

2l = 40

l =20 inches

w = 20 - 8 = 12 inches

Area = 20x12 = 240 square inches

Thus, the area of the rectangle is 240 square inches if the length of a rectangle is  8 inches longer than the width. If the ratio of the length to the perimeter is 5:16.

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Answer:

x = 17.5

Step-by-step explanation:

[tex] \frac{16}{10} = \frac{28}{x} [/tex] (angle bisector theorem)

Cross multiply

16 × x = 28 × 10

16x = 280

Divide both sides by 16

x = 280/16

x = 17.5

Answer:

B

Step-by-step explanation:

Quadrant 1 is (+,+), quadrant 2 is (-,+), quadrant 3 (-,-), and quadrant 4 is (+,-).

Answer:

its B!!!

Step-by-step explanation:

Answer:

hola

com

stas

Step-by-step explanation:

Answer:

9. 6 cups

10. 66 in

11. 66 ft

12. 1320 ft

Hope that helps!

Step-by-step explanation:

9. 3 pt = 6 c

10. 5 1/2 ft = 66 in

11. 22 yd = 66 ft

12. 1/4 mi = 1320 ft

Hope this helped! :)

Answer:

[tex] X =

\begin{bmatrix} - 4 & 1 \\ - 2 & - 7\end{bmatrix}[/tex]

Step-by-step explanation:

[tex] \begin{bmatrix} - 1 & - 2\\ 4 & 8\end{bmatrix} +X = \begin{bmatrix} - 5 & - 1\\ 2 & 1\end{bmatrix}[/tex]

[tex] X =

\begin{bmatrix} - 5 & - 1\\ 2 & 1\end{bmatrix}-\begin{bmatrix} - 1 & - 2\\ 4 & 8\end{bmatrix}[/tex]

[tex] X =

\begin{bmatrix} - 5-(-1) & - 1-(-2)\\ 2-4 & 1-8\end{bmatrix}[/tex]

[tex] X =

\begin{bmatrix} - 5+1 & - 1+2\\ 2-4 & 1-8\end{bmatrix}[/tex]

[tex] X =

\begin{bmatrix} - 4 & 1 \\ - 2 & - 7\end{bmatrix}[/tex]

Here goes the answer. Please mark brainliest.

Answer:

4/6

Step-by-step explanation:

Answer:

13:8

is the answer because if you take the games won and lost this is what you get

Step-by-step explanation:

Answer:

X=-2

Step-by-step explanation:

4x-2(-3x)= -20

4x+6x=-20

10x=-20

/10    /10

x=-2

Hope this helps!

[tex]6 \times (w + 5) = 7[/tex]

Answer:

6 x w (+2)<4+3i>

Step-by-step explanation:

Answer:

c.

Step-by-step explanation:

hopes this helps

Step-by-step explanation:

it is 0.7777777778 . make sure you round it though 0.7^. or 0.78

Answer:

7/9

Step-by-step explanation:

1) Put 1 over 7, like this: 7/1

   REMEMBER EVERYTIME THERE IS A WHOLE NUMBER! PUT A 1 OVER IT!

2) You would get your equation as this: 7/1 * 1/9

3) Multiply HORIZONATLY!

 7 * 1 / 1 * 9  =  7/9

4) Your answer is 7/9!

Answer:

the question is incorrect as GN does not exist. please rewrite the question.

Answer:

i believe it would be 0.79b + 3.59c [tex]\leq[/tex] 100

Step-by-step explanation:

the price of the number of cans of beans added to the number of boxes of cereal must be less than or equal to $100

0.79b represents the price of the beans multiplied by the amount of cans the contestant buys, and 3.59c represents the price of the cereal multiplied by the amount of boxes the contestant buys

Answer:

a.8

i hope this is correct??!!

Step-by-step explanation:

i was busy so i did this much ...will solve later