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2 years ago

Find the GCF. 6m3n and 8mn2

Mathematics

1 answer:

Liono4ka [1.6K]2 years ago

6 0

Answer:

$2mn$

Step-by-step explanation:

$6m^3n,\:8mn^2$

Find the GCD of $6,\:8$ :

$6$

$=2\cdot \:3$

$8$

$=2\cdot \:4$

$=2\cdot \:2\cdot \:2$

So the prime factor common to 6, 8 is:

$2$

So the factor common to $6m^3n,\:8mn^2$ :

$=2mn$

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A die is rolled. What is the probability that the number is a factor of 6 or more than 2? Does this scenario represent mutually

goblinko [34]

Factors of 6 are : 1,2,3 and 6.

Let us find probability of getting the number that is a factor of 6.

$P(\text{ The number is a factor of 6})=\frac{4}{6} =\frac{2}{3}$

Now let us find probability of getting a number more than 2 (3,4,5,6).

$P(\text{ The number is a greater than 2})=\frac{4}{6} =\frac{2}{3}$

We can see that these two events are mutually inclusive events. We can find probability of mutually inclusive events by formula $P(\text{X or Y})=P(X)+P(Y)-P(\text{X and Y})$ .

$P(\text{ The number is a factor of 6 and greater than 2})=\frac{2}{6} =\frac{1}{3}$

Now we will find probability of getting the number is a factor of 6 or more than 2 using above formula.

$P(\text{ The number is a factor of 6 or greater than 2})=\frac{2}{3} +\frac{2}{3}-\frac{1}{3}$

$P(\text{ The number is a factor of 6 or greater than 2})= \frac{4}{3}-\frac{1}{3}=\frac{3}{3}=1$

Therefore, our probability will be 1 and this scenario represents mutually inclusive events.

6 0

3 years ago

If two lines have the same slope, they are _______.

Sever21 [200]

Answer:

same slope is parallel lines

Step-by-step explanation:

4 0

3 years ago

Dose anyone know how to do these problems

zimovet [89]

Answer:

1. 14

2. 20

3. 12

4. -400

5. 6

6. 21

7. 11

8. 16

9. 40

10. 49

11. 12

12. IDK

Step-by-step explanation:

1. 16-2=14

2. 16+4=20

3. 6 X 2 = 12

4. -400/-10 (negative divided by a negative equals a positive) = 40

5. 6 X 6 = 36

6. 16+5=21

7. 23-12=11

8. 4 X 16 = 64

9. 36-16=20, 20 X 2 = 40

10. 400-8=392, 392/8= 49

11. 912-612=300, 300/25 = 12

12. Sorry too confusing.

4 0

2 years ago

Jasmine bought a calendar and a book for a total of $24. The calendar cost $10. Which equation can be used to find b, the cost o

Verdich [7]

24-10=b

The cost of b is 14

Hope this helps

6 0

3 years ago

Read 2 more answers

A cone is 3 inches high and has a base with a surface area of 7 square inches. What is the volume of the cone?

lawyer [7]

Answer: the answer should be 7

Step-by-step explanation: V=πr2h

3=π·1.52·3

3≈7.06858

you can find the radius for the area of the base 7 by dividing by $\pi$ like such 7/3.1459 the squared because remember its in r2 form which give you 1.5 then plug this in for one of two ways to solve A· $\pi$ 1/3 or V=πr2h

4 0

3 years ago