1. What is the greatest common factor of 2 8 and 35?
A.4
B.7
C.9
D.14
B
2.Dina has a savings account with $276.38 in it. Her older sister Winnie has a savings account with $329.84 in it. How much more money is in Winnie's account than Dina's?
53.46
3.Kelly knitted a scarf that was 5 1/2 feet long. Ryan knitted a scarf that was 6 3/4 feet long. If Kelly and Ryan laid their scarves out at the end, about how long would they be in all?
A.2 feet
B.8 feet
C.10 feet
D.12 feet
D
4.Simplify the expression below
5x(8-2)/3
A.10
B.12
C.15
D.16
A
5.What is the LCM of 12 and 18?
A.24
B.32
C.36
D.40
C
6.For a concert, 80 singers will stand on risers. The director wants to divide the singers so that there are equal numbers of singers standing on each rise. Which is not a possible way to divide the singers among the risers?
A.4 risers with 20 singers on each
B.5 risers with 16 singers on each
C.6 risers with 14 singers on each
D.8 risers with 10 singers on each
C
All are correct.
Thank you
You're welcome.
1. To find the greatest common factor (GCF) of 2, 8, and 35, we can list the factors of each number and identify the largest factor that they all have in common.
Factors of 2: 1, 2
Factors of 8: 1, 2, 4, 8
Factors of 35: 1, 5, 7, 35
From the list of factors, we can see that the only factor that all three numbers share is 1. Therefore, the GCF of 2, 8, and 35 is 1.
2. To find out how much more money is in Winnie's account than Dina's, we subtract the amount in Dina's account from the amount in Winnie's account.
Amount in Winnie's account - Amount in Dina's account = $329.84 - $276.38 = $53.46
So, there is $53.46 more in Winnie's account than in Dina's account.
3. To determine the total length if Kelly and Ryan laid their scarves out end-to-end, we add the lengths of their scarves together.
Kelly's scarf length = 5 1/2 feet
Ryan's scarf length = 6 3/4 feet
First, we can convert the mixed numbers to improper fractions:
Kelly's scarf length = 11/2 feet
Ryan's scarf length = 27/4 feet
Next, we add the fractions:
11/2 + 27/4 = 22/4 + 27/4 = 49/4
Finally, we simplify the fraction:
49/4 = 12 1/4
So, if Kelly and Ryan laid their scarves out end-to-end, the total length would be 12 1/4 feet, which is approximately 12 feet.
4. To simplify the expression 5x(8-2)/3, we follow the order of operations (PEMDAS), which states that we need to simplify any parentheses first, then perform multiplication and division from left to right, and finally perform addition and subtraction from left to right.
Inside the parentheses, we have 8-2, which simplifies to 6.
Next, we have 5x6/3. Multiplying 5 by 6 gives us 30. Then, dividing 30 by 3 gives us 10.
Therefore, the simplified expression is 10.
5. To find the least common multiple (LCM) of 12 and 18, we can list the multiples of each number and identify the smallest multiple that they have in common.
Multiples of 12: 12, 24, 36, 48, 60, ...
Multiples of 18: 18, 36, 54, 72, 90, ...
From the list of multiples, we can see that the smallest multiple that both 12 and 18 share is 36. Therefore, the LCM of 12 and 18 is 36.
6. To determine which division of singers among the risers is not possible, we need to check if each division results in equal numbers of singers on each riser.
A. 4 risers with 20 singers on each: Total singers = 4 × 20 = 80 -> This division is possible.
B. 5 risers with 16 singers on each: Total singers = 5 × 16 = 80 -> This division is possible.
C. 6 risers with 14 singers on each: Total singers = 6 × 14 = 84 -> This division is not possible.
D. 8 risers with 10 singers on each: Total singers = 8 × 10 = 80 -> This division is possible.
Therefore, the division that is not possible is C - 6 risers with 14 singers on each.