There are 130 red, blue and green marbles in a bag. The ratio of red to blue to green is 5:3:2 respectively. How much marbles in the bag are blue?

Answers

Answer 1

Answer: 5 parts are red
3 parts are blue
2 parts are green

There are 10 parts in the bag altogether, and they add up to 130 marbles.
So each 'part' is 13 marbles.

Red = 5 parts = 65 marbles
Blue = 3 parts = 39 marbles
Green = 2 parts = 26 marbles

65 + 39 + 26 = 130 so we ended up on the track.

Answer 2

Answer: One would take the ratios, and add them.
5+3+2 = 10
The divide the total number of marbles by the sum of the ratios.
130/10 = 13
And finally multiply the quotient by each of the three numbers in the ratio (5:4:3) to get the number of marbles that are each colour.
Red: 13 * 5 = 65
Blue: 13 * 4 = 52
Green: 13 * 3 = 39
Therefore, there are 52 blue marbles in the bag.

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from 5 employees at a company a group of 3 employees will be chosen to work on a project. how many different groups of 3 employees can be choosen?

Answers

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Sara wants to find the input value that produces the same output for the functions represented by the tables.What is the input value that produces the same output value in both charts?

A. –2
B. –1
C. 1
D. 2

Answers

The input value that produces the same output value in both charts is 2.Option D is the correct answer.

What are functions ?

A mathematical expression which has two variables , one is dependent variable and the other is an independent variable.

Functions have wide usage and comes with a defined domain and range.

It is given in the question that there are two functions

Function(x) = -0.5x+2

g(x) = 2x-3

It has different values at different points.

The value at which both the functions have same value has to be determined.

To determine that lets equate both the functions

-0.5x +2 = 2x-3

2.5x = 5

x = 2

Therefore the input value that produces the same output value in both charts is 2, Option D is the correct answer.

To know more about Function

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Answer:

Hence, the input value that produces the same output for the functions represented by the tables is:

x=2

Step-by-step explanation:

We are given a function f(x) and g(x) as:

and

Clearly the function g(x) and f(x) are linear function.

We have to find such input value that gives the same output value for the function.

i.e. we have to find x such that:

g(x)=f(x)

i.e. -0.5x+2=2x-3

⇒ 2x+0.5x=2+3

⇒ 2.5x=5

⇒ x=5/2.5

⇒ x=2

Hence, the input value that produces the same output for the functions represented by the tables is:

x=2

if n is a positive integer, for what values of n is the function f(x) =x to the power of n

a) even

b) odd

Answers

$f(x)=x^n;\ n\in\mathbb{Z^+}\n\n function\ is\ even\ when\ f(-x)=f(x)\n\nfunction\ is\ odd\ when\ f(-x)=-f(x)\n\na)\ f(x)\ is\ even\ when\ n\ is\ even:f(-x)=(-x)^n=x^n=f(x)\n\nb)\ f(x)\ is\ odd\ when\ n\ is\ odd:f(-x)=(-x)^n=-x^n=-f(x)$