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2 years ago

6+b/b is an integer number. find all possible integer values of b

Mathematics

1 answer:

Andrei [34K]2 years ago

5 0

Step-by-step explanation:

(6+b)/b = x (= an integer number)

6 + b = bx (= still an integer number)

6 = bx - b = b(x - 1) (= still an integer number)

b = 6/(x - 1) (= still an integer number)

now for b to be integer, (x-1) must be a factor of 6 (6 must be divisible by x-1 with 0 remainder).

and integer includes negative numbers too.

the factors of 6 are therefore

1, 2, 3, 6, -1, -2, -3, -6

so, b can be 6/±1 = ±6

b can be 6/±2 = ±3

b can be 6/±3 = ±2

b can be 6/±6 = ±1

so, all possible values for b are also the listed factors of 6 :

-6, -3, -2, -1, 1, 2, 3, 6

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the surface area of a sphere is 1,017.36 square inches.what is the volume of the sphere? use 3.14 for pi

emmasim [6.3K]

Answer:

Area = 254.34 inches ³

Step-by-step explanation:

The formula to find the surface area of a sphere is:

$SA = 4\pi r^{2}$

To find the volume of the sphere, we first need to figure out the radius ( $r$ ) of the sphere. We can accomplish this by reversing the formula that was used to find the surface area. $(1017.36 in^{2})$

$SA = 4\pi r^{2}$

$1017.36 = 4\pi r^{2}$

Divide both sides by pi ( $3.14$ ).

$1017.36 = 4\pi r^{2}$

$324 = 4 r^{2}$

Divide both sides by 4.

$324 = 4 r^{2}$

$81 = r^{2}\\$

Find the square root of both sides.

$81 = r^{2}\\$

$\sqrt{81} = r$

radius = 9

Insert the value of the radius into the formula for finding the volume of a sphere. $(A=\pi r^{2})$

$(A=\pi r^{2})$

$A=\pi (9)^{2}$

$A=\pi (81)$

$A = 254.34$

Area = 254.34 inches ³

~Hope this helps!~

4 0

3 years ago

What is the total surface area??? Please help

DedPeter [7]

Answer:

216

Step-by-step explanation:

8(6) + (10+6+8)(7)

48 + 24x7

48 + 168

216

7 0

3 years ago

Last month, Grayson and Justine sold candy to raise money for their debate team. Justine sold 1 1/5 times as much candy as Grays

ale4655 [162]

Answer: 4/5 of a box of candy

Step-by-step explanation:

Justine sold 1¹/₅ times the ²/₃ of a box of candy that Grayson sold.

Justin sold;

= 1¹/₅ * ²/₃

= 6/5 * 2/3

= 12/15

= 4/5 of a box of candy

6 0

3 years ago

An alarm system requires a 7-digit code using the digits 0 through 9. Each digit may only be used once in the code. How many dif

maks197457 [2]

10M different codes are possible.

Probability Definition in Math-

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e. how likely they are to happen, using it.
Four perspectives on probability are commonly used: Classical, Empirical, Subjective, and Axiomatic.
For example, the probability of flipping a coin and it being heads is ½, because there is 1 way of getting a head and the total number of possible outcomes is 2 (a head or tail). We write P(heads) = ½ .

It’s simple. there are 7 digits, so that would mean you start with 0,000,000 and end with 9,999,999.
If the highest digit is 9,999,999 and you add a 1 more to it, you have a total of 10M combinations.

Learn more about probability

brainly.com/question/11234923

#SPJ4

8 0

2 years ago

Solve this quadratic equation by completing the square.

nadya68 [22]

Answer:

$x=-3+\sqrt{27}\\ x=-3-\sqrt{27}$

Step-by-step explanation:

Let's find our C value for the quadratic equation.

$(\frac{6}{2})^{2} = 9$

That is our C. Since we added 9 to one side, we have to do the same to the other. We get:

$x^{2} +6x + 9 = 18 + 9\\x^{2} +6x + 9 = 27$

Now, lets form the left side as a binomial squared.

$(x+3)^{2} = 27$

Let's square both sides now:

$x+3 = (+/-)\sqrt{27}$

Now, we subtract 3 from both sides to isolate the variable, X:

$x= -3(+/-)\sqrt{27}$

This means that the answers are:

$x=-3+\sqrt{27}\\ x=-3-\sqrt{27}$

I do not understand your answers though. Answer A makes no sense, answer B is 221, answer C is 115, and answer D also does not make sense. If you could clarify this portion, maybe I can help you find your alphabetic answer

3 0

3 years ago

6+b/b is an integer number. find all possible integer values of b​

6+b/b is an integer number. find all possible integer values of b