All categories

3 years ago

Select the GCF of these numbers. 48 and 60

Mathematics

1 answer:

LekaFEV [45]3 years ago

4 0

Using Euclid's algorithm, the first number you check is their difference:

60 - 48 = 12

Since 12 divides both numbers evenly, that is your GCF.

_____

If the difference does not divide both numbers evenly, you can repeat the procedure with the difference and the remainder from dividing the smallest of the other numbers by the difference. For example, ...

GCF(60, 44) = GCF(44 mod 16, 16) = GCF(12, 16) = 4

You might be interested in

Please help me put these in the correct order. *No wrong answers* List the following in order Can you list the answers in order

tankabanditka [31]

Answer:

Add or subtract. Show all work.

1) 9.069

2) 43.95

3) 20.64

4) 32.145

5) 7.16

6) 12.2

7) 25.95

8) 15.815

Increasing order (smallest to largest): 5, 1, 6, 8, 3, 7, 4, 2

Decreasing order (largest to smallest): 2, 4, 7, 3, 8, 6, 1, 5

Multiply or divide. Show all work.

1) 44.95

2) 225.9

3) 20.271

4) 11.557

5) 6.78

6) 41.3

7) 120

8) 515

Increasing order (smallest to largest): 5, 4, 3, 6, 1, 7, 2, 8

Decreasing order (largest to smallest): 8, 2, 7, 1, 6, 3, 4, 5

Please mark me Brainliest :)

3 0

3 years ago

Venita is factoring the expression 32ab-8b. She determines the GCF and writes the factored expression as 8b(4a-0). Which best de

Nimfa-mama [501]

Let's go through the steps of factoring that Venita should take.

1.) Find the greatest common factor (GCF). We only have two terms, so that makes it pretty easy.
32 = 1, 2, 4, 8, 16, 32
8 = 1, 2, 4, 8
The greatest common factor of 32 and 8 is 8. We can also factor out a <em>b</em> since that term appears in each part of the original expression. The GCF and variable should go on the outside of the parentheses.
8b( )

2.) Now let's figure out what should go in the middle of the parentheses. To do this, use the original expression and divide each term. This is written in the parentheses.

32ab ÷ 8b = 4a
8b ÷ 8b = 1

This would then result in the factored expression 8b(4a - 1). You can always check this by using the distributive property. Distribute 8b out to both expressions:
8b x 4a = 32ab
8b x 1 = 8b
32ab - 8b is the expression she started with, so your factored expression works!

Now that we went through the steps to solve the factored expression, let's check her answer. The only difference between Venita's and ours is that she has 0 as the second term while we have a 1. It seems that she had subtracted the GCF from the second term instead of dividing.

6 0

4 years ago

Read 2 more answers

A culture of bacteria triples every hour. If the colony contained 50 bacteria at noon, how many bacteria will the culture contai

8_murik_8 [283]

Answer:

12,150

Step-by-step explanation:

50 times 3 is 150.

150 times 3 is 450.

Continue doing this until you've done it five times.

6 0