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3 years ago

Find the greatest common factor of 6 and 15. a. 6 b. 3 c. 4 d. 2

Mathematics

2 answers:

Olin [163]3 years ago

8 0

Answer:

Step-by-step explanation:

Greatest common factor (GCF) of 6 and 15 is 3. We will now calculate the prime factors of 6 and 15, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6 and 15.

Hope this helps

hjlf3 years ago

6 0

Answer:3

Step-by-step explanation:

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Plz..... Solve this questions for me...

faust18 [17]

$6.\\\text{We know}\ 9=3^2.\ \text{Therefore}\\\\9^2=(3^2)^2\\\\\text{use}\ (a^n)^m=a^{nm}\\\\9^2=(3^2)^2=3^{2\cdot2}=3^4\\\\\boxed{3^4=9^2}\\=================$

$7.\\METHOD\ 1:\\\\\sqrt{7^4}=\sqrt{7^{2\cdot2}}\\\\\text{use}\ (a^n)^m=a^{nm}\\\\=\sqrt{(7^2)^2}\\\\\text{use}\ \sqrt{a^2}=a\ \text{for}\ a\geq0\\\\=\boxed{7^2}\\\\METHOD\ 2:\\\\\text{use}\ a^\frac{m}{n}=\sqrt[n]{a^m}\\\\\sqrt{7^4}=7^\frac{4}{2}=\boxed{7^2}\\=================$

$8.\\5^a\times5^b=5^{11}\\\\a)\\\text{use}\ a^n\times a^m=a^{n+m}\\\\5^a\times5^b=5^{a+b}\\\\5^{a+b}=5^{11}\Rightarrow a+b=11\\\\11\ \text{is odd. The sum of even and odd is odd. Therefore}\ a\ \text{and}\ b\ \text{can't be even.}\\--------------------\\\\b)\\5\ \text{solutions}\\\\11=5+6\\11=4+7\\11=3+8\\11=2+9\\11=1+10$

3 0

2 years ago

A<br> (Triangle)ABC is isosceles.<br> AB= 88 and CB = 12x + 4.<br> B<br> x= [?]

CaHeK987 [17]

Answer:

X=7 because 88=12x+4. Simple math gives you x=7

5 0

2 years ago

Kelly earns $178.50 in interest on an account that earns simple interest at a rate of 4%. If she kept the money in the account f

Otrada [13]

Answer:

$892.50

Step-by-step explanation:

The amount of interest earned is given by ...

I = Prt

Filling in the given values, we have ...

$178.50 = P·0.04·5

Dividing by 0.20 gives ...

$178.50/0.20 = P = $892.50

The principal amount in Kelly's account is $892.50.

7 0

3 years ago

What is the slope of (1,2) (-3,-9)

kati45 [8]

Answer:

(11/4) is the slope

Step-by-step explanation:

1) Subtract the second y value (-9) by the first y value (2) in the coordinates. This equals 11.

2) Then, subtract the second x value (-3) by the first x value (1) in the coordinates. This equals 4.

3) Divide the answer you get for step one by the answer for step 2 and that's your slope. 11/4

8 0

3 years ago

Read 2 more answers

Which expression can be used to solve 3/5 ÷ 7/10

marusya05 [52]

Answer:

Step-by-step explanation:

3/5 divided by 7/10

You use KCF

KCF stands for keep change flip

So it would be 3/5x10/7

3 10 15

_ x _ = _

5 7 7

you need to simplify it so the 5 in 3/5 would be a 1 and the 10 in 10/7 would be 5

5 0

3 years ago