Let x be the time it takes Elias and Niko to polish the silver working together. If Elias works alone, he could polish all the silver himself in 40 minutes. Then, in 1 minute, he will make $\frac{1}{40}$ of the total work. If the same analysis is applied Niko, in 1 minute, will make $\frac{1}{50}$ of the total work.

Working together Elias and Niko will need x minutes to make all the work. Then, in 1 minute, they will make $\frac{1}{x}$ of the total work. So, the fraction of the total work they make in 1 minute is given by this equation:

$\frac{1}{x}=\frac{1}{40}+\frac{1}{50} \\ \\ \frac{1}{x}=\frac{50+40}{2000} \\ \\ x=\frac{2000}{90} \\ \\ \boxed{x=22.22 minutes}$

6 0

4 years ago

Read 2 more answers

Study the equation. y = x2 - 4x - 77 Write the equation in graphing form (vertex form).

Julli [10]

Answer:

y=(x-2)^2-81

Step-by-step explanation:

4 0

3 years ago

While in orbit, a space shuttle travels at a speed of 28,200 kilometers per hour. What is the total number of kilometers travele

kogti [31]

Answer:

The distance is 676,800 kilometers, which in scientific notation has a value of 6.748*10⁵ kilometers.

Step-by-step explanation:

A space shuttle travels at a speed of 28,200 kilometers per hour. Given that in 1 day there are 24 hours, it is possible to apply the following rule of three: if in 1 hour the space shuttle travels 28,200 kilometers, in 24 hours how much distance will the space shuttle travel?

$distance=\frac{24 hours*28,200 kilometers}{1 hour}$

distance= 676,800 kilometers

Scientific notation is a quick way to represent a number using powers of base ten. This notation is used to be able to express very large or very small numbers very easily.

The numbers are written as a product:

a*10ⁿ

where:

a is a real number greater than or equal to 1 and less than 10, to which a decimal point is added after the first digit if it is a non-integer number.
n is a whole number, which is called an exponent or an order of magnitude. Represents the number of times the comma is shifted. It is always a whole number, positive if it is shifted to the left, negative if it is shifted to the right.

To write the number 676,800 in scientific notation, perform the following steps:

The decimal point is moved to the left as many spaces until it reaches the right of the first digit. This number is then written, which will be the coefficient a in the expression of the previous product. In this case a=6.76800= 6.748

The base 10 is written with the exponent equal to the number of spaces that the comma moves. This is a positive number because the comma is shifted to the left. In this case n= 5

Then, the distance is 676,800 kilometers, which in scientific notation has a value of 6.748*10⁵ kilometers.

5 0

3 years ago

ILL GIVE BRAINLEST!​

ILL GIVE BRAINLEST!