1.What is the greatest common factor of 28 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 is in Winnie's account than Dina's?
A.53.46
B.54.36
C.605.83
D.606.22
A?
3.Kelly knitted a scarf that was 5 1/3 feet long. Ryan knitted a scarf that was 6 3/4 feet long. If Kelly and Ryan laid their scarves out end to end about how long would they be in all?
A.2
B.8
C.10
D.12
D
4.Figure out the expression below
5x(8-2)/3
A.10
B.12
C.15
D.16
A?
5.What is the least common multiple 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 riser. Which is Not a possible way to divide the singers among the risers?
A.4 risers with 20 singers on each riser
B.5 risers with 16 singers on each riser
C.6 risers with 14 singers on each riser
D.8 risers with 10 singers on each riser
C?
All are right!
1. To find the greatest common factor (GCF) of 28 and 35, we need to find the largest number that divides both 28 and 35 evenly. We can start by finding the prime factors of each number.
Prime factors of 28: 2, 2, 7
Prime factors of 35: 5, 7
To find the GCF, we need to find the common prime factors and multiply them together. In this case, the only common prime factor is 7. So the GCF of 28 and 35 is 7. Therefore, the correct answer is B.
2. To find how much more 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
Therefore, there is $53.46 more in Winnie's account than Dina's. The correct answer is A.
3. To find how long Kelly and Ryan's scarves would be when laid end to end, we need to add their lengths together.
Kelly's scarf length: 5 1/3 feet
Ryan's scarf length: 6 3/4 feet
To add these fractions, we need a common denominator. The least common multiple (LCM) of 3 and 4 is 12.
Kelly's scarf length (converted to twelfths): (5 * 12 + 1)/3 = 61/12
Ryan's scarf length (converted to twelfths): (6 * 12 + 9)/4 = 81/12
Now we can add the lengths: 61/12 + 81/12 = 142/12 = 11 10/12
So, when laid end to end, Kelly and Ryan's scarves would be 11 10/12 feet long. The closest whole number is 12. Therefore, the correct answer is D.
4. To evaluate the expression 5x(8-2)/3, we can follow the order of operations, which is parentheses, exponents, multiplication/division (left-to-right), and addition/subtraction (left-to-right).
First, we simplify the expression inside the parentheses:
8 - 2 = 6
Then we perform the multiplication:
5 * 6 = 30
Finally, we perform the division:
30 / 3 = 10
So, the expression 5x(8-2)/3 evaluates to 10. Therefore, the correct answer is A.