13. A pile of candy in Mr. Stallone's class was 9 1/2 inches high. Each consecutive week, for the next eight weeks, the height of the pile of candy increased by 4 1/5 inches. What was the height, and inches, of the pile after five weeks?
20. The Golden State, Warriors won 50 want to games and the 2013 through 2014 season. The following year, they want 67 games. What was the percent increase in the number of games the Warriors won between the two seasons, rounded to the nearest whole number?
I don't get it i need help
13.
9.5 + (4.2 * 5) = ?
14. "50 want to games?"
50 games I meant
(67 - 50) / 50 = ?
Multiply the decimal answer by 100 to get the percent.
Thank you
You're welcome.
Sure, I'd be happy to help you with these questions! Let's break them down one by one:
13. To find the height of the pile of candy after five weeks, we need to start with the initial height of 9 1/2 inches and then add the increase in height for each week. The increase for each week is 4 1/5 inches.
To calculate the height after five weeks, we'll add the initial height to the total increase for five weeks.
Initial height: 9 1/2 inches
Increase per week: 4 1/5 inches
To find the total increase for five weeks, we'll multiply the increase per week by the number of weeks:
Total increase for five weeks = 4 1/5 inches/week * 5 weeks
Now, let's add the total increase to the initial height to find the height after five weeks:
Height after five weeks = Initial height + Total increase for five weeks
By substituting the values, we get:
Height after five weeks = 9 1/2 inches + (4 1/5 inches/week * 5 weeks)
Simplifying the equation gives us:
Height after five weeks = 9 1/2 inches + 20 1/5 inches
To add the mixed fractions, we need to convert them to improper fractions:
9 1/2 inches = (9 * 2 + 1)/2 = 19/2 inches
20 1/5 inches = (20 * 5 + 1)/5 = 101/5 inches
Now we can add the fractions:
Height after five weeks = 19/2 inches + 101/5 inches
To add the fractions with different denominators, we need to find a common denominator. The least common multiple (LCM) of 2 and 5 is 10. So, we'll convert the fractions:
Height after five weeks = (19/2 * 5/5) inches + (101/5 * 2/2) inches
Height after five weeks = 95/10 inches + 202/10 inches
Adding the fractions gives us a total height of:
Height after five weeks = (95 + 202)/10 inches
Height after five weeks = 297/10 inches
So, the height of the pile after five weeks is 29 7/10 inches.
20. To find the percent increase in the number of games won between the two seasons, we need to compare the number of games won in the second season to the number of games won in the first season and calculate the percentage difference.
Number of games won first season: 50 games
Number of games won second season: 67 games
The percent increase is calculated using the formula:
Percent Increase = (New Value - Old Value) / Old Value * 100%
Substituting the values, we get:
Percent Increase = (67 - 50) / 50 * 100%
Simplifying the equation gives us:
Percent Increase = 17 / 50 * 100%
To find the percent increase, we'll divide 17 by 50 and multiply by 100:
Percent Increase = 0.34 * 100%
Rounding to the nearest whole number, we get:
Percent Increase = 34%
Therefore, the percent increase in the number of games the Warriors won between the two seasons is 34%.