All categories

4 years ago

Determine the GCF ofthe following:60 and 144

Mathematics

1 answer:

Alla [95]4 years ago

8 0

12, Find the prime factorization of 60

60 = 2 × 2 × 3 × 5

Find the prime factorization of 144

144 = 2 × 2 × 2 × 2 × 3 × 3

To find the gcf, multiply all the prime factors common to both numbers:

Therefore, GCF = 2 × 2 × 3

You might be interested in

Find the value of {[12 ÷ 4] + [16 ÷ 8 (7 – 5)]} – 1.

zmey [24]

{[12 ÷ 4] + [16 ÷ 8 (7 – 5)]} – 1.

{[3] + [2(2)]} – 1.

{[3] + [4]} – 1.

7-1

4 0

3 years ago

The coefficient of x^ky^n-k in the expression of (x+y)^n equals (n-k/k) true or false

gulaghasi [49]

Answer:

False

Step-by-step explanation:

The given statement is:

The coefficient of x^ky^n-k in the expression of (x+y)^n equals (n-k/k)

This is a false statement

Reason:

When we do expansion of (x+y)^n by binomial theorem we get the following solution:

(x+y)^n = nCk x^k y^n-k

This shows that the coefficient of x^ky^n-k is nCk which is equivalent to n!/(n-k)! k!

Therefore it is a false statement....

3 0

3 years ago

Determine the dimensions of the screen of a 42-inch TV with a 4:3 aspect ratio.

Nitella [24]

For this case, the first thing you should do is know that the measurement of a television is given by the diagonal of the television.

Therefore, to find the value of x, we use the Pythagorean theorem.

We have then:

$(3x)^2+(4x)^2=42^2$

Rewriting we have:

$25x ^ 2 = 1764\\x = \sqrt {\frac {1764} {25}}\\x = \sqrt {70.59}\\x = 8.4$

Then the dimensions are given by:

$4x = (4 * 8.4) = 33.6\\3x = (3 * 8.4) = 25.2$

Answer:

the dimensions of the screen are: 33.6* 25.2

5 0

3 years ago

Read 2 more answers

I need some help and can you please show your work? Thank you have a good day

SVEN [57.7K]

$1.75

If 4 lemons altogether cost $7, you want to divide the price by 4 to find the price for one single lemon.

7/4 = $1.75

Now if you buy 4 lemons that cost $1.75, your total will add up to $7

3 0

3 years ago

Find the area of the shaded region in this figure.

stealth61 [152]

Answer:

B) 190 cm^2

Step-by-step explanation:

Im pretty sure all you gotta do is

20x10 which is 200 then do 5x2

which is 10 and you minus 10 from 200

Please correct me if im wrong here

I dont really remember doing these

6 0

2 years ago

Determine the GCF ofthe following:60 and 144​

Determine the GCF ofthe following:60 and 144