Multiply. 1 1/2 x 2/7
A. 1 1/8
B. 20/49
C. 18/49
D. 9/28
B. 20/49
Mary earns $5 per hour as a waitress. Last week she took home her regular earnings of $5 per hour plus $182 in tips for a total of $327. Which equation can be used to find how many hours, h, Mary worked last week?
A.
$327 = $5h - $182
B.
$327 = $182h + $5
C.
$327 = $182h - $5
D.
$327 = $5h + $182
A. $327 = $5h + $182
you sure
I apologize for the error in my previous response. Let me reevaluate the problem.
Given:
Mary earns $5 per hour as a waitress.
She took home her regular earnings of $5 per hour plus $182 in tips for a total of $327.
Let h be the number of hours Mary worked last week.
We can create the equation:
$327 = $5h + $182
Therefore, the correct equation to find how many hours Mary worked last week is:
D. $327 = $5h + $182
On Saturday, the fruit and juice bar was selling 30 glasses of fruit punch an hour. By 3 p.m., they had sold 150 glasses. If their goal was to sell more than 360 glasses of fruit punch, find the number of hours, h, they must stay open to make their goal.
A.
h > 13
B.
h > 7
C.
h > 12
D.
h > 9
Let h be the number of hours the fruit and juice bar must stay open to make their goal of selling more than 360 glasses of fruit punch.
Since the fruit and juice bar was selling 30 glasses of fruit punch per hour, the total number of glasses sold by 3 p.m. (which corresponds to 7 hours) was:
30 glasses/hour * 7 hours = 210 glasses
To reach their goal of selling more than 360 glasses, they need to sell at least:
360 glasses - 210 glasses = 150 glasses
To find the number of hours they must stay open to reach this goal, we divide the remaining number of glasses needed by the rate of selling 30 glasses per hour:
150 glasses ÷ 30 glasses/hour = 5 hours
Therefore, the fruit and juice bar must stay open for more than 7 hours to reach their goal, so the correct answer is:
B. h > 7
Convert the following percent to a fraction.
94%
A. 47/5000
B. 47/5
C. 47/50
D. 47/500
To convert a percentage to a fraction, you simply write the percentage as a fraction with a denominator of 100 and then simplify if possible.
94% can be written as 94/100.
We can simplify this fraction by dividing the numerator and denominator by their greatest common factor, which is 2.
94 ÷ 2 = 47
100 ÷ 2 = 50
So, 94% is equal to 47/50.
Therefore, the correct answer is:
C. 47/50
Tyrone has 51 movies in his collection. He wants to estimate the average length, in minutes, per movie in his collection. So, he wrote down the length of 10 random movies. The lengths are listed below.
107, 130, 151, 82, 151, 107, 130, 107, 151, 82
Assuming that the sample was representative of the entire collection, what was the mean number of minutes per movie?
A.
140.5
B.
94.5
C.
119.8
D.
129