A baseball player got 102 hits in the last 300 times at bat. Explain how you would find the percent of times the baseball player got a hit out of the number of times at bat.
To find the percentage of times the baseball player got a hit out of the number of times at bat, we can use the following formula:
Percentage = (Hits / Total at bats) * 100
In this case, the baseball player got 102 hits out of 300 times at bat.
So, we substitute these values into the formula:
Percentage = (102 / 300) * 100
Simplifying, we have:
Percentage = 0.34 * 100
Therefore, the baseball player got a hit around 34% of the time out of the number of times at bat.
A baseball team played 75 games and lost 20% of them. How many games did the team lose?
15
20
55
60
To find the number of games the team lost, we need to calculate 20% of 75.
To calculate 20% of a number, we multiply the number by 0.2.
So, 20% of 75 is:
(0.2) * 75 = 15
Therefore, the team lost 15 games.
A student solved the problem below by first dividing 20 by 10. What mistake did the student make?
A baseball team has won 20 games and lost 10 games. What percent of the games did the team win?
The student made a mistake by dividing 20 by 10.
To find the percent of games the team won, we need to divide the number of games won by the total number of games played (which is the sum of games won and games lost) and then multiply by 100.
So, in this case, we would divide 20 (games won) by the sum of 20 (games won) and 10 (games lost):
Percentage = (20 / (20 + 10)) * 100
Percentage = (20 / 30) * 100
Simplifying, we have:
Percentage = 0.67 * 100
Therefore, the team won 66.7% of the games.
The student mistakenly divided 20 by 10, which would result in 2. This is incorrect as it does not give the correct percentage.
A baseball team won 20 games and lost 10 games. What percent of the games did the team win?
33One-third%
50%
66Two-thirds%
200%
To find the percentage of games the team won, we divide the number of games won by the total number of games played, and then multiply by 100.
In this case, the team won 20 games and lost 10 games.
Total games played = 20 (wins) + 10 (losses) = 30 games
Percentage of games won = (20 / 30) * 100 = 66.67%
Therefore, the team won 66.67% of the games. This is closest to the option "66Two-thirds%".
A 2-column table with 5 rows titled Games Played. Column 1 has entries a percent, a percent, a percent, a percent, b percent. Column 2 has entries c, c, c, c, d.
So far this season, a team has won 51 out of 68 games. Identify the values of a, b, c, and d that complete the bar diagram for this situation.
a =
b =
c =
d =
Based on the information given, we know that the team won 51 out of 68 games.
a: The value of "a" represents the percentage of games won. To find this percentage, we divide the number of games won by the total number of games played and then multiply by 100.
a = (51 / 68) * 100 = 75%
b: The value of "b" represents the percentage of games not won, which is equal to 100% minus the percentage of games won.
b = 100% - a = 100% - 75% = 25%
c: The value of "c" represents a constant entry in column 2. The problem states that all entries in column 2 are "c", so we can determine that c = c = c = c = c.
d: The value of "d" is not provided in the problem statement, so we cannot determine its value based on the information given.
A team has won 51 out of 68 games. Explain how to use the bar diagram to find the percent of games the team has won.
A 2-column table with 5 rows. Column 1 has entries 25 percent, 25 percent, 25 percent, 25 percent. Column 2 has entries 17, 17, 17, 17, 68.
To find the percent of games the team has won using the bar diagram, you can follow these steps:
1. Look at Column 2 of the bar diagram, which represents the total number of games played.
In this case, the entries in Column 2 are 17, 17, 17, 17, and 68.
2. Locate the row in Column 2 that corresponds to the total number of games played, which in this case is 68 games.
3. Directly opposite the entry of 68 in Column 2, find the corresponding value in Column 1.
In this case, the entry in Column 1 opposite 68 in Column 2 is given as "25 percent."
4. The value in Column 1 (25 percent) represents the percentage of games the team has won out of the total number of games played.
Therefore, using the bar diagram, we can determine that the team has won 25 percent of their games.
The records of four baseball teams are shown below. Which team had the greatest percent of wins?
Rattlers won 95 and lost 65. Cobras Won 92 and lost 58. Boas Won 94 and lost 66. Pythons won 96 and lost 64.
the Boas
the Cobras
the Pythons
the Rattlers
To determine which team had the greatest percent of wins, we need to calculate the winning percentage for each team. The winning percentage is calculated by dividing the number of games won by the total number of games played and then multiplying by 100.
1. Rattlers: They won 95 games and lost 65.
Winning percentage = (95 / (95 + 65)) * 100 = 59.38%
2. Cobras: They won 92 games and lost 58.
Winning percentage = (92 / (92 + 58)) * 100 = 61.11%
3. Boas: They won 94 games and lost 66.
Winning percentage = (94 / (94 + 66)) * 100 = 58.73%
4. Pythons: They won 96 games and lost 64.
Winning percentage = (96 / (96 + 64)) * 100 = 60%
Comparing the winning percentages, we can see that the team with the greatest percent of wins is the Cobras, with a winning percentage of 61.11%.
The Badgers and the Cougars have won the same number of games. However, the Badgers have won a greater percent of their games than the Cougars have. Explain how this is possible.
This scenario is possible because the Badgers and the Cougars may have played a different number of games in total.
To understand this, let's consider an example:
Suppose the Badgers won 10 games out of 15 games played, which gives them a winning percentage of (10 / 15) * 100 = 66.67%.
On the other hand, the Cougars also won 10 games, but they played a larger number of games, let's say 20 games. This gives the Cougars a winning percentage of (10/20) * 100 = 50%.
In this case, the Badgers have won a greater percent of their games (66.67%) than the Cougars (50%) despite both teams winning the same number of games.
Therefore, the difference in the percent of wins can be attributed to the total number of games played by each team.
Carey creates the table below to help him determine 75% of 36.
75% of 36
25%
25%
25%
25%
One-fourth
One-fourth
One-fourth
One-fourth
9
9
9
9
He writes the expression (three-fourths) (27). Which change in Carey’s expression will lead him to the correct answer?
The 27 could be changed to 36.
The Three-fourths could be changed to One-fourth.
The Three-fourths could be changed to One-fourth, and the 27 could be changed to 9.
The 27 could be changed to 36, and the Three-fourths could be changed to One-fourth.
To determine 75% of 36 correctly, Carey needs to make the following changes in his expression:
The Three-fourths could be changed to One-fourth, and the 27 could be changed to 9.
This is because 75% is equivalent to three-fourths (3/4), and multiplying three-fourths by 36 gives 27. However, the table shows that one-fourth (1/4) corresponds to 9. Therefore, by changing the expression to One-fourth (1/4) times 9, Carey will obtain the correct answer.
Which fraction is equivalent to 38%?
StartFraction 3 over 8 EndFraction
StartFraction 9 over 25 EndFraction
StartFraction 19 over 50 EndFraction
3 and StartFraction 4 over 5 EndFraction
To find the fraction that is equivalent to 38%, we need to convert 38% into a fraction.
38% can be written as 38/100, which is not yet in its simplest form.
To simplify the fraction further, we can divide both the numerator and denominator by their greatest common divisor, which is 2.
Dividing 38 by 2 gives 19, and dividing 100 by 2 gives 50.
Therefore, 38% is equivalent to the fraction:
StartFraction 19 over 50 EndFraction
Hence, the correct fraction equivalent to 38% is StartFraction 19 over 50 EndFraction.
Mikel creates the table below to help her determine 40% of 70.
40% of 70
20%
20%
20%
20%
20%
0.2
0.2
0.2
0.2
0.2
14
14
14
14
14
She writes the expression (0.2) (14). Which change in Mikel’s expression will lead her to the correct answer?
The 14 in the expression could be changed to 28.
The 0.2 in the expression could be changed to 0.4.
The 14 in the expression could be changed to 70.
The 0.2 in the expression could be changed to 2.
To find 40% of 70 correctly, Mikel needs to make the following change in her expression:
The 0.2 in the expression could be changed to 0.4.
This is because 40% is equivalent to 0.4 as a decimal, not 0.2. Since Mikel has correctly identified 40% as 20% in her table, the corresponding decimal should be 0.4 instead of 0.2.
Therefore, by changing the expression to (0.4) times 14, Mikel will obtain the correct answer.