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slavikrds [6]
4 years ago
9

PLEASE HELPP PRE CAL What is the greatest common factor of 8m^2, 4m, and 10m^4

Mathematics
2 answers:
luda_lava [24]4 years ago
4 0

Answer:

2m

Step-by-step explanation:

For m, I look for the greatest power of m that is in all of the expressions. Since the first has m^2, the second has m, and the third has m^4, the greatest power of m that is in all expressions is m.

For the number, I look for the greatest factor of 8, 4, and 10. A trick would be to look at the smallest number since the greatest common factor can only be less than or equal to the smallest number. So looking at 4, the factors are 1,2,4. 4 is not a common factor since it does not divide into 10, but 2 is so 2 is the greatest common numerical factor.

Combine 2 and m to get 2m.

Orlov [11]4 years ago
3 0

Answer:

2m

Step-by-step explanation:

8m² = 2×2×2×m×m

4m = 2×2×m

10m² = 2×5×m×m×m×m

Common are: 2×m = 2m

You might be interested in
A police car drives with a constant speed of 50 miles per hour. How long will it take to travel a distance of 175 miles?
Evgen [1.6K]

Answer:

It will take the police car 3.5 hours to travel a distance of 175 miles traveling at a rate of 50 miles/hour.

Step-by-step explanation:

If a car is traveling at a constant speed of 50 miles/hour and we wish to know how long it will take it to travel a distance of 175 miles, we will use this formula

d = r*t

Where d is the distance traveled in miles

r is the rate of speed in miles/ hour, and

t is the time in hours

d in this case is 175 miles and r is 50 miles/hour, plugging this in, we have

175 miles = (50 miles/hour) * t         Divide both sides by 50 miles/hour

Our miles unit will cancel out, leaving us with

3.5 hours = t


3 0
4 years ago
What's the area of the composite figure below ?
JulsSmile [24]

Answer:

31.13

Step-by-step explanation:

If you look carefully, you will find a semicircle and a triangle.

The total area is =

\frac{\pi r^{2}}{2} + \frac{1}{2} \times base \times height\\

  • r = 4 - 0 = 4
  • base = |-4-0 | = 4
  • height = 14 - 9 = 5

So if we put the values:

\frac{\pi \times 4^{2}}{2} + \frac{1}{2} \times 4 \times 3\\= 31.13

3 0
3 years ago
10 points. Please help me with numbers 9-13.<br> Numbers 9-13 is the picture.
melomori [17]

Answer:

x  = 18

y = 15

Step-by-step explanation:

Remark

Step One

The main step is to realize that if the lower left hand angle is 90 degrees, then the upper left hand angle is also 90. That is because the interior angles of parallel lines are supplementary. If one of the angle is 90 degrees, so is the other.

<em><u>Conclusion from the Remark</u></em>

5x = 90

x = 90/5

x = 18 degrees

Step Two

Find y

y is just a bit harder to find . The safest way is to add all four interior angles together. For any trap*zoid (you cannot spell this word properly. The editor has a fit), the interior angles add up to 360 degrees.

So just add the 4 angles together and equate to 360

5(y + 11) + 4y  - 10 + 90 + 90 = 360     Combine like terms

5(y + 11) + 4y -  10 + 180 = 360            Combine again

5(y + 11) + 4y + 170 = 360                   Subtract 170 from both sides

5(y + 11) + 4y = 360 - 170                     Combine like terms

5(y + 11) + 4y = 190                             Remove the brackets

5y + 55 + y4 = 190                             Combine like terms

9y + 55 = 190                                     Subtract 55 from both sides.

9y = 190 - 55

9y = 135                                              Divide by 9

y = 135 / 9

y = 15

8 0
3 years ago
On Monday, 395 students went on a trip to the zoo. All 9 buses were filled and 8 students had to travel in cars. How many studen
hichkok12 [17]

Answer:

43 students were in each bus

Step-by-step explanation:

Total students: 395

Students travelled in cars: 8

Students travelled in buses: 395-8=387

Number of buses filled:9

Number of students in each bus: 387÷9=43

4 0
3 years ago
julia and her friends are making kites out of paper. For each kite, they need a piece of paper that is \dfrac{65}{100} \text{ me
Alona [7]

Answer:

  260 cm

Step-by-step explanation:

Each 1/00 of a meter is 1 cm, so 65/100 meters is 65 cm. If that is the length of paper required for 1 kite, then 4 times that length will be required for 4 kites.

__

The paper required for 4 kites is ...

  (65 cm) × 4 = 260 cm

8 0
2 years ago
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