What is 5,000 + 5,000?

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

We have to find out the value of the fraction.

Let us assume that:

[tex] \sf \longmapsto x =2 + \dfrac{1}{2 + \dfrac{1}{2 + \dfrac{1}{2 + ... \infty} } } [/tex]

We can also write it as:

[tex] \sf \longmapsto x =2 + \dfrac{1}{x} [/tex]

[tex] \sf \longmapsto x =\dfrac{2x + 1}{x} [/tex]

[tex] \sf \longmapsto {x}^{2} =2x + 1[/tex]

[tex] \sf \longmapsto {x}^{2} - 2x - 1 = 0[/tex]

Comparing the given equation with ax² + bx + c = 0, we get:

[tex] \sf \longmapsto\begin{cases} \sf a =1 \\ \sf b = - 2 \\ \sf c = - 1 \end{cases}[/tex]

By quadratic formula:

[tex] \sf \longmapsto x = \dfrac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a} [/tex]

[tex] \sf \longmapsto x = \dfrac{2 \pm \sqrt{ {( - 2)}^{2} - 4(1)( - 1)} }{2 \times 1} [/tex]

[tex] \sf \longmapsto x = \dfrac{2 \pm \sqrt{4 + 4} }{2 \times 1} [/tex]

[tex] \sf \longmapsto x = \dfrac{2 \pm \sqrt{8} }{2} [/tex]

[tex] \sf \longmapsto x = \dfrac{2 \pm2 \sqrt{2} }{2} [/tex]

[tex] \sf \longmapsto x = 1 \pm\sqrt{2}[/tex]

[tex] \sf \longmapsto x = \begin{cases} \sf 1 + \sqrt{2} \\ \sf 1 - \sqrt{2} \end{cases}[/tex]

But "x" cannot be negative. Therefore:

[tex] \sf :\implies x = 1 + \sqrt{2}[/tex]

So, the value of the fraction is 1 + √2.

Answer:

6

Step-by-step explanation:

1. The Formula for volume of a Square is V=πr2h

2. So u would plug everything in.. so v- π4²12

3. so then u get 6

Answer:

The slope of the parallel line is -3/2

Step-by-step explanation:

Calculate the slope using rise over run then simplify.

-6/4 , -3/2

Answer:

what u will recieve

Step-by-step explanation:

please telle

Answer:

There would be 36 coins left

Step-by-step explanation:

I don't know if that was the question but you would do:

11/20x2=22/40

22/40+4/40=26/40

26/40=13/20

One twentieth of 240 is 12

12x3=36

Hope this helped

Answer:

Step-by-step explanation:

Numbers in sequence are:

The difference between end points:

Common difference of 5 terms:

The missing numbers are:

Answer:

about 315

Step-by-step explanation:

2,250×0.14

hope this helps!

Answer:

1. 2x

2. 3x

3. 2x+5

4. (3x)^2

5. 3\4(x)

I hope it makes sense

have a great day

if any questions pls ask

Answer:

A

2,3     3,4.5    5,7.5

B

every 1:1.5

C

3,4.5   4,6   5,7.5

Step-by-step explanation:

because this is eqauling to all of the numbers

The inverse of f(x) is when you switch the position of the x's and y's (or f(x))

x=3y+7, and then isolate the y so you get a normal function

(x-7)/3

Answer: there are 2 whole in 7/3

Step-by-step explanation: 7 divided by 3 is 2r1. 7/3 = 2 1/3

Step-by-step explanation:

Assuming that the total stamp is x

According to the question

Izzati's stamps is 1/4

Ailing's number of stamps is 1/8

X= 1/4 x 1/8 = 5/8 - the remaining stamps.

Rina’s number of stamps is 7/10 x 5/8 = 35/80 x

5/8 x 35/80 = 15/80 - (Susan's stamps)

According to the question

15/80 = 42

X: 224

the total number of stamps originally is 224.

Answer:

25 Feet

Step-by-step explanation:

Im sorry if i am wrong, but it is 25 because the girl is 5 feet, and one feet less of a shadow. So it is obvious to me that the tree is 1 foot larger.

Answer:

x = 4 , y = 2

Step-by-step explanation:

Using the sine / tangent ratios in the right triangle and the exact values

sin60° = [tex]\frac{\sqrt{3} }{2}[/tex] and tan60° = [tex]\sqrt{3}[/tex] , then

sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{2\sqrt{3} }{x}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

x [tex]\sqrt{3}[/tex] = 4[tex]\sqrt{3}[/tex] ( divide both sides by [tex]\sqrt{3}[/tex] )

x = 4

and

tan60° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{2\sqrt{3} }{y}[/tex] = [tex]\sqrt{3}[/tex] ( multiply both sides by y )

y [tex]\sqrt{3}[/tex] = 2[tex]\sqrt{3}[/tex] ( divide both sides by [tex]\sqrt{3}[/tex] )

y = 2

Answer:

B

Step-by-step explanation:

because if you multiply the denominators

Answer:

The value of p is not measure through brain but through the fire

Answer:

x < -32

Step-by-step explanation:

Answer:

x = 10

y = 5

Angle 1: 80 degrees

Angle 2: 45 degrees

Angle 3: 100 degrees

Angle 4: 35 degrees

Angle 5: 35 degrees

Angle 6: 45 degrees

Angle 7: 100 degrees

Step-by-step explanation:

Since we know angle 1 is equal to 80, we can say that angle 7 is 100, since a line makes 180 degrees. Because of the congruence statements, we can assume angle 3 is also 100 degrees. That means, that out of the 360 degrees that make up a 4 sided shape, we are left with 160. Those 160 are shared with angles 2,4,5 and 6.

To find these, we need to find 5 and 6. But we need to find x before we can solve for those. So take the equations from 5 and 6 to solve for x.

(3x+5)+(5x-5)+100=180

(3x+5)+(5x-5)=80

8x=80

x=10

Now plug x in to solve for angle 5 and 6

3(10)+5 = 35.   Angle 5

5(10)-5 = 45.   Angle 6

Now, because we know that there are only 160 degrees left to share between angles 2,4,5,6 we can say that angles 2+5=80 and 4+6=80. We already figures out what angle 5 and 6 are, so just substitute and solve.

(angle 2)+35 = 80

(angle 2) = 45 degrees

(angle 4)+45 = 80

(angle 4) = 35 degrees

To solve for y, set angle 7 equal to 100 degrees:

100 = y^2 + 15y

100 = y(y+15)

y = 5

Answer:

2

Step-by-step explanation:

given the difference of twice a number and one is three to find "number" let the number be x

2x - 1 =3

2x = 4

x= 2

thus the number is 2

100%=(435.60÷88)x100

which is 495.

Answer:

Step-by-step explanation:

435,60:12%

Answer:

C is the correct answer cos it is paid by the customer

Answer:

68

Step-by-step explanation:

the reason it is 68 is because its a reflection on the other side which that line is there also represents the other side so it is 68.

Answer:

x=9 y=3

Step-by-step explanation:

because 5x+9=6x and 6y-1=3y+8

x=9 y=3

branlist please

Answer:

[tex](a^{2}+b^{2})^{1/3}[/tex]

Step-by-step explanation:

(a² + b²)^1/3

Any number to the power 1/2 means to square root the number

Any number to the power 1/3 means to cube root the number etc.

Answer:

8 3/10 cm

Step-by-step explanation:

Add Emile's 7th and 8th grade growth amounts together:

3 9/10 cm

4 4/10 cm           (This is equivalent to 4 2/5 cm.)

-----------------

 7 13/10 cm, or

 8 3/10 cm

Answer:

Fraction  3 out of 3 /4

Step-by-step explanation:

formula for interest=principle×rate×time/100

60=x×4×4/100

60=16x/100

16x=6000

x=375

Answer:

C. $375

Step-by-step explanation: