Answer:
1) 3
2) 30
Step-by-step explanation:
To find the GCF, you find out the (prime) factors of the two numbers in question. For this question, we would find the (prime) factors that go into 6 and 15.
For the number 6, we can get 2 x <u>3</u> = 6.
For the number 15, we can get <u>3</u> x 5 = 15.
You then underline those factors that you have in common. As you can see, since there is only 1 factor underlined per number, we would have the GCF as 3. On the instance you have more than 1 number underlined, you just multiply them.
Example: 12 and 20
<u>2</u> x <u>2</u> x 3 = 12
<u>2</u> x <u>2</u> x 5 = 20
They both have 2 x 2 in common, so you would get 4 as the GCF.
Moving onto the LCM, I would find this by multiplying each number until i find something similar.
6 x 1 = 6
6 x 2 = 12
6 x 3 = 18
6 x 4 = 24
6 x 5 = <u>30</u>
15 x 1 = 15
15 x 2 = <u>30</u>
The number that is underlined is the lowest common number we have when multiplying and going up by 1, so 30 would be our answer.
A faster way you could've solved this is by knowing that you can't multiply 6 and a whole number to get 15, but you can multiply 6 and a whole number to get 30. This, however, is just prior knowledge.
Perimeter of a square = 4s where is the length of one side.
Equation:
Area = s^2
169 = s^2
s = 13 inches
B. 13 INCHES
Answer:
22 meters.
Step-by-step explanation:
There is a pond between two points A and B.
To avoid the pond, one must walk to the south from point A to point C (say) by 34 meters and then to the east from point C to point B by 41 meters.
Now, it is clear that Δ ABC is a right triangle with AB as the hypotenuse that is the minimum distance from A to B through the pond.
The two legs of the right triangle are AC and CB.
Applying Pythagoras Theorem, AB² = AC² + CB² = 34² + 41² = 2837
⇒ AB = 53 meters (Rounded to the nearest meter)
Therefore, (34 + 41) - 53 = 22 meters will be saved if it were possible to walk through the pond. (Answer)
Answer:
Step-by-step explanation:
You have not provided the choices.
Factor each term into powers of primes and variables:
56x = 2³·7x
40y = 2³·5y
48z = 2⁴·3z
Greatest common factor = 2³ = 8
56x + 40y - 48z = 8(7x + 5y - 6z)
Answer:

Step-by-step explanation:
Given

Required
Solve:

Simplify 6/10

Express 9 as 3^2

Apply law of indices


Express as a sing;e fraction

Apply law of indices:



