All categories

2 years ago

Show that the following number is rational: 7.526262626... show all work, discrete math

1 answer:

6 0

$x=7.5\overline{26}\\10x=75.\overline{26}\\1000x=7526.\overline{26}\\1000x-10x=7526.\overline{26}-75.\overline{26}\\990x=7451\\x=\dfrac{7451}{990}$

It can be expressed as a fraction with integer numerator and denominator, so it's a rational number.

You might be interested in

Y = -x + 3<br> What is the slope for this?

ICE Princess25 [194]

The slope for this equation is x=3

5 0

2 years ago

Plz help me well mark brainliest if correct.........?

TiliK225 [7]

Answer:

The answer is B

Step-by-step explanation:

8 times 12 = 96

2L + 2W = 40

2(8) + 2(12) = 40

because

16 + 24 = 40

Hope this helps!

7 0

2 years ago

The Coffee Counter charges $8.00 per pound for Kenyan French Roast coffee and $10.00 per pound for Sumatran coffee. How much o

Radda [10]

Answer:

x = 9

y = 9

Step-by-step explanation:

Given :

Let :

Kenyan French roast coffee = x

Cost per x = $8

Sumatran Coffee = y

Cost per y = $10

x + y = 18 - - - - (1)

8x + 10y = 9 * 18 ;

8x + 10y = 162 - - - - (2)

From (1):

x = 18 - y

Put x = 18 - y in (2)

8(18 - y) + 10y = 162

144 - 8y + 10y = 162

2y = 162 - 144

2y = 18

y = 9

x = 18 - y

x = 18 - 9

x = 9

3 0

2 years ago

Consider a nuclear power plant that produces 1200 MW of power and has a conversion efficiency of 34 percent (that is, for each u

cestrela7 [59]

Answer:

The amount of nuclear fuel required is 1.24 kg.

Step-by-step explanation:

From the principle of mass energy equivalence we know that energy generated by mass 'm' in an nuclear plant is

$E=m\cdot c^2$

where

'c' is the speed of light in free space

Since the power plant operates at 1200 MW thus the total energy produced in 1 year equals

$E=1200\times 10^6\times 3600\times 24\times 365=3.8\times 10^{16}Joules$

Thus using the energy produced in the energy equivalence we get

$3.8\times 10^{16}=mass\times (3\times 10^{8})^2\\\\\therefore mass=\frac{3.8\times 10^{16}}{9\times 10^{16}}=0.422kg$

Now since the efficiency of conversion is 34% thus the fuel required equals

$mass_{required}=\frac{0.422}{0.34}=1.24kg$

8 0

2 years ago

Find the x value of x. If necessary round to the nearest tenth. A=49sq.in.

grigory [225]

Answer:

$9.9 ~in$ ✔︎

Step-by-step explanation:

$A=1/2 ~ base * height$

$49=1/2(x)(c)$

$98=x^2$

$x=\sqrt{98}$

$x=7\sqrt{2}$

$x=9.9$

༄❁༄❁༄❁༄❁༄

hope it helps...

have a great day!!

4 0

2 years ago