Mr. Bryan's class has 60 students. 1/4
of the students stay for tutoring on Monday. If Mr. Bryan equally divides the students that stay for tutoring into 5 groups, how many students are in each group
1/4 of 60 students is (1/4)*60 = <<1/4*60=15>>15 students.
Therefore, there are 15 students/5 groups = <<15/5=3>>3 students in each group. Answer: \boxed{3}.
Mr. Bryan's class has 60 students. 1/4
of the students stay for tutoring on Monday. If Mr. Bryan equally divides the students that stay for tutoring into 5 groups, how many students are in each group?
Responses
A 33
B 55
C 1212
D 1515
1/4 of 60 students is equal to (1/4) * 60 = 15 students.
If Mr. Bryan equally divides the students into 5 groups, each group will have 15 students / 5 = 3 students.
Therefore, the answer is 3 students per group, which is option A.
Factor this expression completely.
35x − 40
Responses
A 5(7x − 8)5(7x − 8)
B 5(7x + 8)5(7x + 8)
C 7(5x + 8)7(5x + 8)
D 7(5x − 8)
To factor the expression 35x - 40, we need to look for the greatest common factor (GCF) of the two terms.
The GCF of 35x and 40 is 5.
We can then factor out the GCF from each term:
35x - 40 = 5(7x) - 5(8)
This can be further simplified:
35x - 40 = 5(7x - 8)
Therefore, the expression is factored completely as option A: 5(7x - 8).
Which expression is equivalent to 2.2 − 0.5(0.6x − 1.8) ?
Responses
A 0.3x + 1.30.3x + 1.3
B 0.3x + 3.10.3x + 3.1
C 1.3 − 0.3x1.3 − 0.3x
D 3.1 − 0.3x
We can start simplifying the expression by distributing the -0.5 to the terms inside the parentheses:
2.2 - 0.5(0.6x - 1.8) = 2.2 - 0.5*0.6x + 0.5*1.8
Simplifying further:
2.2 - 0.3x + 0.9
Combining like terms:
(2.2 + 0.9) - 0.3x = 3.1 - 0.3x
Therefore, the expression is equivalent to 3.1 - 0.3x, which is option D.
(h + 12) + (p + 24)
Responses
The expression (h + 12) + (p + 24) can be simplified by combining like terms:
(h + 12) + (p + 24) = h + p + 12 + 24
Simplifying further:
h + p + 36
Therefore, the simplified form of the expression is h + p + 36.
Which number sentence shows how the distributive property can be used to represent the area of the blue rectangle?
Responses
A (9 + 6) × (9 + 11)(9 + 6) × (9 + 11)
B (9 × 6) + (9 × 11)(9 × 6) + (9 × 11)
C 11(6 + 9)11(6 + 9)
D 9 × 6 × 11