There is a bag with only red marbles and blue marbles. The probability of randomly choosing a red marble is 7/8.There are 56 marbles in total in the bag and each is equally likely to be chosen. Work out how many red marbles there must be.

Therefore the number red marble in the bag is 49.

Step-by-step explanation:

Probability: The ratio of favorable out comes to the total outcomes.

Given that the probability of choosing of a red marble is . There are 56 marbles in the bag.

Consider the number of marble be x.

Therefore, the probability of choosing of red marble is

According to the problem,

Therefore the number red marble in the bag is 49.

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.

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.