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2 years ago

Express 763636363636 as a rational number

1 answer:

4 0

$x=0.7636363\ldots$
$10x=7.636363\ldots$
$1000x=763.636363\ldots$

$\implies1000x-10x=990x=756\implies x=\dfrac{756}{990}=\dfrac{42}{55}$

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What is 2 to the 9th power

andrey2020 [161]

Answer:

it is 512

Step-by-step explanation:

5 0

2 years ago

to increase the mean of 4 numbers by 2, by how much would the sum of the 4 numbers have to increase? check image.

solong [7]

Answer:

Step-by-step explanation:

x=average

(x+x+x+x)/4=average

to increase x by 2 you add 2

x+2=average

(x+2+x+2+x+2+x+2)=4=(4x+8)/4=x+2

you'd have to increase the sum by 8 to make the numbers' averages' go up by 2

8 0

2 years ago

1 Select the correct answer. Multiply the binomials: (3x + 4)(5x - 2) A.15x2 + 20x-8b. 15x2 + 14x-8 c. 15x2- 14x-8 D. 15x2+ 14x8

leonid [27]

Multiply the binomials:

(3x + 4)(5x - 2)

$\begin{gathered} =3x(5x\text{ - 2) + 4(5x - 2)} \\ =15x^2\text{ - 6x + 20x - 8} \\ =15x^2\text{ + 14x - 8} \end{gathered}$

Final answer

Option B is the final answer

3 0

1 year ago

Help!! What is 78,400,000 expressed in scientific notation?

Ludmilka [50]

It's b the number multiplied by 10 must be less than 10

6 0

2 years ago

Find the diameter(s) of circle O.

schepotkina [342]

Answer:

The diameter of the circle O is <em>12 units</em>

Step-by-step explanation:

There is no data in the image provided. To better help you, I'm assuming we have an arbitrary value of

$BC=6\sqrt{2}$

and the triangle B0C is right

<u>Relations in the Circle</u>

The diameter (D) is twice the radius (r) and the radius is the distance measured from the center of the circle to any point of the circumference.

Since the triangle B0C has a right angle, BD is the hypotenuse and 0B=0C=r

Applying Pythagoras's theorem:

$BC^2=r^2+r^2=2r^2$

Thus we have

$2r^2=(6\sqrt{2})^2$

$2r^2=72$

$r^2=36$

$r=6$

The diameter of the circle O is D=2(6) = 12 units

5 0

3 years ago