Sienna has a bag of colored marbles. the bag contains 70 green marbles, 42 orange marbles, and 28 purple marbles. what are the ratios of the number of green marbles, orange marbles, and purple marbles to the total number of marbles? a. green = 1 to 2; orange = 3 to 10; purple = 1: 5 b. green = 1 to 5; orange = 3 to 10; purple = 1: 2 c. green = 1 to 5; orange = 10 to 3; purple = 1: 2 d. green = 1 to 2; orange = 10 to 3; purple = 1: 5

A

Step-by-step explanation:

The total number of marbles = 70 + 42 + 28

Total = 140

Green:Total = 70 / 140 = 1:2

Orange:Total = 42/140 = 6:20 = 3:10

Purple:Total = 28/140 =4/20   = 2:10

1/2 = 5/10

2/10 = 1/5

Check

5/10 + 3/10 + 2/10 = 1 just as it should

A

B Green is bigger than 1:5. B is incorrect

C Green is bigger than 1:5. C is incorrect

D The orange ratio is the other way around

first option

a function is a relation in which an input is paired with exactly one output.

so, let's find the right answer.

in our first option, our inputs are january, february, and march. the outputs are 30, 28, and 25. each input has it's own output. this is correct!

our second option we know is incorrect, because ms. valverade has two outputs, dogs and cats. this is not a function.

our third option is incorrect as well. the yellow square has two ouputs, the square and the triangle.

lastly, in our fourth option, we see the number 7 two times with a different output. therefore, this is not a function.

remember: each input must be paired with only one output!

sss (side, side, side)

sas (side, angle, side)

asa (angle, side, angle)

aas (angle, angle, side)

hl (hypotenuse, leg)