23.At Thursday's volleyball game there 4 fans from Hudson for every 5 fans from Brandenburg in attendance. If there were a total of 180 fans in attendance how many could be expected to be from Hudson?
80
24.Monica has a box of 35 colored drinking straws. The box contains 17 red straws and the rest are yellow straws. If Monica selects one start from the box without looking which expression represents the probability that she will choose a yellow straw?
A.1+17/35
B.1+17/18
C.1-17/35
D.1-17/18
A
The first one can be done through trial and error. Just find out the x which will fit the equation:
Answer is:
5x 5(20)= 100
and IS EQUAL TO 180 =180
4x 4(20)= 80
To find the answer to question 23, we need to determine the ratio between the number of fans from Hudson and Brandenburg.
According to the information given, for every 4 fans from Hudson, there are 5 fans from Brandenburg.
Let's set up a proportion to solve for the number of fans from Hudson:
4/5 = x/180
Cross-multiplying:
5x = 4 * 180
5x = 720
Dividing both sides by 5:
x = 720/5
x = 144
Therefore, we can expect 144 fans from Hudson to be in attendance.
For question 24, the box contains a total of 35 straws, 17 of which are red. We need to find the expression that represents the probability of choosing a yellow straw.
Since the rest of the straws not mentioned are yellow, we can find the number of yellow straws by subtracting the number of red straws from the total number of straws:
35 - 17 = 18
So, there are 18 yellow straws.
The probability of choosing a yellow straw can be expressed as the number of desirable outcomes (yellow straws) divided by the total number of outcomes (total straws).
The expression for the probability of choosing a yellow straw is:
Desirable outcomes / Total outcomes = 18/35
Therefore, the correct expression is A. 1 + 17/35, which simplifies to 1.49.
first one is ok
2nd:
18 yellow of 35
prob of yellow = 18/35
which is equivalent to 1 - 17/35 , or choice C
don't understand why they would not simplify that.