All categories

3 years ago

Find the greatest common factor of 24 and 76_______________________

2 answers:

4 0

Using Euclid's algorithm, divide 76 by 24. The result is 3 r 4. Now, divide 24 by the remainder. That result is 6 r 0. Since the remainder is zero, the divisor (4) is the greatest common factor of 76 and 24.

The GCF of 76 and 24 is 4.

_____

Another way to look at it is to factor the two numbers and see what factors they have in common.

76 = 4·19

24 = 4·6

since 6 an 19 have no common factors, 4 is the greatest common factor of 76 and 24.

Softa [21]3 years ago

4 0

The greatest common factor(GCF) of 24 and 76 is 4.

4 goes into 24 six times.

4 goes into 76 nineteen times.

Which is the highest factor that can go into the both of them.

You might be interested in

Use the properties of exponents to rewrite the expression.<br> (-3yz)(-3yz)(-3yz)(-3yz)

Lera25 [3.4K]

Answer:

Answer is 81y^4z^4

Step-by-step explanation:

The expression is (-3yz) (-3yz) (-3yz) (-3yz).

Since all the four terms have power 1:

(-3yz)^1 (-3yz)^1 (-3yz)^1 (-3yz)^1

We know that we can add the powers if the terms have same base

So,

=(-3yz)^1+1+1+1

=(-3yz)^4

=(-3)^4(y)^4(z)^4.

If the power is an even number than the negative sign changes into positive sign.

=3^4y^4z^4

=81y^4z^4

Thus the answer is 81y^4z^4....

3 0

3 years ago

Find sin θ if θ is in Quadrant III and tan θ = . 0.958

Leokris [45]

Use the following identities:
$sec^2 = 1 + tan^2 \\ \\ sec = \frac{1}{cos} \\ \\ sin^2 = 1 - cos^2$
Also because the angle is in quadrant 3, sin must be negative.
Therefore
$sin = - \sqrt{1 - \frac{1}{1 + tan^2}}$
Subbing in tan = 0.958
$sin \theta = -0.69178$

7 0

3 years ago

Dianna made several cakes yesterday. Each cake required 2 2/3 cups of flour. All together, she used 13 1/3 cups of flour. How ma

riadik2000 [5.3K]

Answer:

5 cakes

Step-by-step explanation:

13 1/3 ÷ 2 2/3

40/3 x 3/8

= 5 cakes

3 0

3 years ago

The number of mosquitoes at the beach has increased by 50% every year since 2012. In 2012, there were 2,500 mosquitoes. How many

xxTIMURxx [149]

Answer:

Step-by-step explanation:

2012 = 2500

2500 x .50 = 1250

2500 + 1250

2013 = 3750

3750 x .50 =

3750 + 1875

2014 = 5625

5625 x .50 = 2812.5

5625 + 2812.5

2015= 8437.5

8437.5 x .50 = 4218.75

8437.5 + 4218.75

2016= 12656.25

12656.25 x .50 = 6328.125

12656.25 + 6328.125

2017= 18984.375

18984.375 x .50 = 9492.1875

18984.375 + 9492.1875

2018= 28,476.5625‬

3 0

3 years ago

Find the value of the expression. 7! ÷ 3! 5,040 5,034 840 24

koban [17]

First, let's review what the "factorial operator" ! means.

5! = 5*4*3*2*1.

3! = 3*2*1

7! = 7*6*5*4*3*2*1

Then:

7! 7*6*5*4*3*2*1 7*6*5*4 5040
----- = ----------------------- = ------------- = ----------- = 5040 (answer)
3! 3*2*1 1 1

3 0

3 years ago