145.6 divided by 28
5.2
factors of 36 and 48
Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36.
Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48.
lcm of 3 and 5
The LCM of 3 and 5 is 15.
GCF of 15 AND 30
The greatest common factor (GCF) of 15 and 30 is 15.
LCM of 6 and 10
The LCM of 6 and 10 is 30.
GCF of 30 and 54
To find the greatest common factor (GCF) of 30 and 54, we can find the prime factorization of both numbers:
30 = 2 x 3 x 5
54 = 2 x 3 x 3 x 3
The GCF is the product of all the common prime factors, raised to the smallest exponent that appears in either factorization. In this case, the common prime factors are 2 and 3, and they appear in both factorizations. So:
GCF(30, 54) = 2 x 3 = 6
Therefore, the GCF of 30 and 54 is 6.
write 16 + 32 as a product of two factors using the GCF and the distributive property
The GCF of 16 and 32 is 16. We can express 16 + 32 as:
16 + 32 = 16 x 1 + 16 x 2
Then, we can use the distributive property to factor out the 16:
16 + 32 = 16 x (1 + 2)
Simplifying the expression inside the brackets, we get:
16 + 32 = 16 x 3
Therefore, 16 + 32 can be expressed as the product of two factors (16 and 3) using the GCF and the distributive property.
write 28 + 24 as a product of two factors using the GCF and the distributive property
To write 28 + 24 as a product of two factors using the GCF and the distributive property, we first need to find the greatest common factor (GCF) of 28 and 24. The prime factorization of 28 is 2 x 2 x 7, and the prime factorization of 24 is 2 x 2 x 2 x 3. Therefore, the GCF of 28 and 24 is 2 x 2 = 4.
Next, we can use the distributive property to factor out the GCF 4 from 28 and 24:
28 + 24 = 4 x 7 + 4 x 6
Now we can simplify this expression by factoring out 4:
28 + 24 = 4 x (7 + 6)
Finally, we can simplify the expression inside the parentheses:
28 + 24 = 4 x 13
Therefore, 28 + 24 can be written as the product of two factors, 4 and 13, using the GCF and the distributive property.
caylan is making baked goods for charity bake sale. he places a tray of scones, a tray of muffins, and a tray of cookies in the oven. the scones bake for 15 minutes, the muffins bake for 12, and the cookies bake for 10 minutes. when one tray is done, he removes it and replaces it with another tray of the same item.
how many minutes after caylan puts the trays in the oven will he first remove the scones, muffins, and cookies at the same time?
To answer this question, we need to find the least common multiple (LCM) of 15, 12, and 10. We can begin by listing the multiples of each number until we find a common multiple:
Multiples of 15: 15, 30, 45, 60, 75, 90, 105, 120, ...
Multiples of 12: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, ...
Multiples of 10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, ...
From this list, we can see that the LCM of 15, 12, and 10 is 60. This means that the scones will be done after 60 minutes (4 trays of scones will have baked), the muffins will be done after 5 trays (60/12) have baked, and the cookies will be done after 6 trays (60/10) have baked.
When Caylan puts the trays in the oven, he will need to wait for 60 minutes until the scones are done. At that point, he can remove one tray of scones and replace it with another tray of scones, which will take another 15 minutes to bake. Meanwhile, he will need to wait for the muffins and cookies to finish baking. Since the muffins take 12 minutes and the cookies take 10 minutes to bake, he will need to wait for a multiple of both 12 and 10, which is 60. Therefore, Caylan will first remove all three trays at the same time after 60 + 15 = 75 minutes.
GCF of 40 and 24
To find the greatest common factor (GCF) of 40 and 24, we can find the prime factorization of both numbers:
40 = 2 x 2 x 2 x 5
24 = 2 x 2 x 2 x 3
The GCF is the product of all the common prime factors, raised to the smallest exponent that appears in either factorization. In this case, the common prime factors are 2 and appear in both factorizations. So:
GCF(40, 24) = 2 x 2 x 2 = 8
Therefore, the GCF of 40 and 24 is 8.