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

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step-by-step explanation:

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).