Which is in order from least to greatest
A.1/4,0.33,2/5,0.5,2/3
B.1/3,1/2,0.4,0.25,2/3
C.1/3,1/4,0/4,1/2,0.66
D.2/3,0.5,2/5,0.33,1/4
A
Talent Show auditions were held after school. There were 3 groups who sang for every 2 groups that danced. If there were a total of 30 groups that auditioned how many can be expected to have sung
A.12
B.45
C.20
D.18
D
3 + 2 = 5
5 * 6 = 30
so 6 teams consisting each containing 3 singing and two dancing
6 * 3 singing groups = 18 singing groups
check
30 - 18 = 12
18/12 = 9/6 = 3/2 sure enough
Which is in order from least to greatest
A.1/4,0.33,2/5,0.5,2/3
Yes
A is
.25 , .33, .40, .50, .67
B.1/3,1/2,0.4,0.25,2/3
C.1/3,1/4,0/4,1/2,0.66
D.2/3,0.5,2/5,0.33,1/4
To determine the order from least to greatest in each given set, we can compare the fractions and decimal numbers.
For option A:
1/4 = 0.25
0.33
2/5 = 0.4
0.5
2/3 = 0.66
From least to greatest: 0.33, 0.4, 0.5, 0.66
For option B:
1/3
1/2 = 0.5
0.4
0.25
2/3 = 0.66
From least to greatest: 0.25, 0.4, 0.5, 0.66
For option C:
1/3
1/4 = 0.25
0/4 = 0 (assuming a typo, and it's meant to be 0.25 or 0.0)
1/2 = 0.5
0.66
From least to greatest: 0, 0.25, 0.5, 0.66
For option D:
2/3 = 0.66
0.5
2/5 = 0.4
0.33
1/4 = 0.25
From least to greatest: 0.25, 0.33, 0.4, 0.5, 0.66
Comparing the sets above, we can see that the correct answer is option A because it is the only one that matches the order from least to greatest that we found.
Moving on to the second question:
Let's set up a proportion using the given information. We know that there were 3 groups that sang for every 2 groups that danced. This can be represented as a ratio of 3/2.
We are told that a total of 30 groups auditioned. We can use this information to find out how many groups can be expected to have sung.
To solve the proportion, we can set up the equation:
(3 groups singing) / (2 groups dancing) = (x groups singing) / (30 total groups)
Cross-multiply and solve for x:
3 * 30 = 2 * x
90 = 2x
x = 90 / 2
x = 45
Therefore, you can expect 45 groups to have sung.
The correct answer is option B.