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

step-by-step explanation:

this woman was an important writer and propagandist during the american revolution. she was a member of the committee of correspondence (in fact the committee was formed in her home) and was an advisor to many of the revolutionary leaders, including george washington and john adams. who was this revolutionary woman?

answer set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.