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3 years ago

What is 8,792 as a fraction?

Mathematics

1 answer:

Wittaler [7]3 years ago

6 0

We have a number $8.792$ .

To write it as a fraction first count the number of decimals and call it $n$ (which, in our case, has a value of 3). Multiply the number with $10^n$ to get $8792$ . Then divide this number by $10^n$ to get $\frac{8792}{10^n}$ from here you can either simplify (if the assignment says so, then the simplified fraction is $\frac{1099}{125}$ ) or not.

Hope this helps.

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You are in the electronics store purchasing a video game that retails for 45$ the sales tax charged on the game is 2.70 what is

Katyanochek1 [597]

Answer:

Step-by-step explanation:

let 't' = tax rate

45t = 2.7

t = 2.7/45

t = .06

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3 years ago

in 2 hours a candy maker can make 80 boxes that each have 10 pieces of candy and each how many pieces of candy does a candy make

Nata [24]

Answer:

Dont no but will check

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3 years ago

Determine all prime numbers a, b and c for which the expression a ^ 2 + b ^ 2 + c ^ 2 - 1 is a perfect square .

kogti [31]

Answer:

The family of all prime numbers such that $a^{2} + b^{2} + c^{2} -1$ is a perfect square is represented by the following solution:

$a$ is an arbitrary prime number. (1)

$b = \sqrt{1 + 2\cdot a \cdot c}$ (2)

$c$ is another arbitrary prime number. (3)

Step-by-step explanation:

From Algebra we know that a second order polynomial is a perfect square if and only if $(x+y)^{2} = x^{2} + 2\cdot x\cdot y + y^{2}$ . From statement, we must fulfill the following identity:

$a^{2} + b^{2} + c^{2} - 1 = x^{2} + 2\cdot x\cdot y + y^{2}$

By Associative and Commutative properties, we can reorganize the expression as follows:

$a^{2} + (b^{2}-1) + c^{2} = x^{2} + 2\cdot x \cdot y + y^{2}$ (1)

Then, we have the following system of equations:

$x = a$ (2)

$(b^{2}-1) = 2\cdot x\cdot y$ (3)

$y = c$ (4)

By (2) and (4) in (3), we have the following expression:

$(b^{2} - 1) = 2\cdot a \cdot c$

$b^{2} = 1 + 2\cdot a \cdot c$

$b = \sqrt{1 + 2\cdot a\cdot c}$

From Number Theory, we remember that a number is prime if and only if is divisible both by 1 and by itself. Then, $a, b, c > 1$ . If $a$ , $b$ and $c$ are prime numbers, then $2\cdot a\cdot c$ must be an even composite number, which means that $a$ and $c$ can be either both odd numbers or a even number and a odd number. In the family of prime numbers, the only even number is 2.

In addition, $b$ must be a natural number, which means that:

$1 + 2\cdot a\cdot c \ge 4$

$2\cdot a \cdot c \ge 3$

$a\cdot c \ge \frac{3}{2}$

But the lowest possible product made by two prime numbers is $2^{2} = 4$ . Hence, $a\cdot c \ge 4$ .

The family of all prime numbers such that $a^{2} + b^{2} + c^{2} -1$ is a perfect square is represented by the following solution:

$a$ is an arbitrary prime number. (1)

$b = \sqrt{1 + 2\cdot a \cdot c}$ (2)

$c$ is another arbitrary prime number. (3)

Example: $a = 2$ , $c = 2$

$b = \sqrt{1 + 2\cdot (2)\cdot (2)}$

$b = 3$

4 0

3 years ago

What are the two requirements for a density curve?

Butoxors [25]

The density curve must satisfy two important conditions.

These two conditions are:
1- The total area under the density curve MUST BE equal to 1.
(Area total = 1)
2- Every point that is on the curve must have a vertical height that is equal to or greater than zero
(vertical height for each point ≥ zero)<span>
</span>

5 0

3 years ago

How do i find the area

RideAnS [48]

Multiply the height and base of the triangle, then divide by 2. To find the area of the semi-circle, you must do this formula. 3.14 x Diameter × 1/2

Answer : 96 + 25.12 = 121.12cm

4 0

3 years ago