Which expression is equivalent to 2(m − 4) + 1? (1 point)
2m − 7
2m − 3
2m + 9
2m + 10
The equivalent expression to 2(m - 4) + 1 is 2m - 7.
Select True or False. (1 point)
The expression 3x − 4(2x − 5) is equivalent to the expression 20 − 5x.
True
False
False
Lara has violet and blue pansies in groups of 5. She has x groups of violet pansies and y groups of blue pansies. Which expression shows the total number of pansies that Lara has? (1 point)
5x + y
5x + 5y
x + 5y
x over 5 + y over 5
The expression that shows the total number of pansies that Lara has is 5x + 5y.
Paul has two label-printing machines. Each machine can print 30 labels per minute. On day 1, only the first machine was used, and it printed 90 labels. On the following day, the first machine printed for x minutes and the second machine printed for y minutes. Which expression shows the total number of labels printed by both machines during these two days? (1 point)
120x + 30y
90 + 30x + 30y
30 + 90x + y
90x + 60y
The expression that shows the total number of labels printed by both machines during these two days is 90 + 30x + 30y.
Catherina conducted a survey of four school cafeterias to find the number of students who like burgers for lunch. The results of her survey are recorded in the table below:
School Cafeteria Survey
School Total Number of Students
in the Cafeteria Number of Students
Who Like Burgers
A 35 15
B 42 13
C 21 8
D 41 16
Which school has the greatest percentage of students who like burgers for lunch? (1 point)
School A
School B
School C
School D
To find the school with the greatest percentage of students who like burgers for lunch, we need to calculate the percentage of students who like burgers for each school and compare them.
The percentage of students who like burgers in School A = (Number of students who like burgers in School A / Total number of students in School A) * 100 = (15 / 35) * 100 = 42.86%
The percentage of students who like burgers in School B = (Number of students who like burgers in School B / Total number of students in School B) * 100 = (13 / 42) * 100 = 30.95%
The percentage of students who like burgers in School C = (Number of students who like burgers in School C / Total number of students in School C) * 100 = (8 / 21) * 100 = 38.10%
The percentage of students who like burgers in School D = (Number of students who like burgers in School D / Total number of students in School D) * 100 = (16 / 41) * 100 = 39.02%
Comparing these percentages, we can see that School A has the greatest percentage of students who like burgers for lunch. Therefore, the correct answer is: School A.
The number of pages that Albert, Keith, Rita, and Bess can read in a day is shown below:
Albert read 15% of his 56-page book.
Keith read 12% of his 64-page book.
Rita read 16% of her 42-page book.
Bess read 10% of her 72-page book.
Who can read the greatest number of pages in a day? (1 point)
Albert
Keith
Rita
Bess