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3 years ago

What is the difference between gcf (greatest common factor) and lcm (least common multiple)?

Mathematics

2 answers:

Nikolay [14]3 years ago

6 0

Answer:

Step-by-step explanation:

Lcm is When the numbers have the same answer and gcf is when the greatest factor is divided by two

WARRIOR [948]3 years ago

3 0

The GCF is based upon what integer divides evenly into two numbers; the LCM is based upon what integer two numbers share in a list of multiples. The GCF must be a prime number; the LCM must be a composite number.

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PLZ HELP! A train averages a speed of 90 miles per hour across the plains and 37.5 miles per hour through the mountains. If a tr

Kruka [31]

Answer:

3.8

Step-by-step explanation:

A train averages a speed of 90 miles per hour across the plains and 37.5 miles per hour through the mountains.

If a trip of 300 miles took 3 hour and 48 minutes, how much of it was through the mountains?

Let d = distance traveled at 37.5 (thru the mountains)

then

(300-d) = distance traveled at 90 mph

Write a time equation, time = dist/speed

change 3 hr 48 min to hrs: 3 + 48/60 = 3.8 hrs

plain time + mountain time = 3.8 hrs

%28300-d%29%2F90 + d%2F37.5 = 3.8

Multiply 90*37.5

3375*%28300-d%29%2F90 + 3375*d%2F37.5 = 3.8(3375)

cancel the denominator

37.5(300-d) + 90d = 12825

11250 - 37.5d + 90d = 12825

52.5d = 1575

d = 1575/52.5

d = 30 mi thru the mountains

Check this, find the distance on the plain

300-30 = 270 mi

Find the actual time at each speed

270/90 = 3 hrs

30/37.5 = .8 hrs

-----------------

total time: 3.8 hrs

7 0

3 years ago

How many hundred thousands, ten thousands, and thousands are in 801,163

Advocard [28]

8 hundred thousands and 1 thousand.

5 0

3 years ago

A piece of wire measuring 20 feet is attached to a telephone pole as a guy wire. The distance along the ground from the bottom o

dem82 [27]

Answer: Height at which the wire is attached to the pole is 12 feet.

Explanation:

Since we have given that

Length of the wire = 20 feet

Let the height at which wire is attached to the pole be h

and distance along the ground from the bottom of the pole to the end of the wire be x+4

Now, it forms a right angle triangle so, we can apply "Pythagorus theorem".

$H^2=B^2+P^2\\\\20^2=x^2+(x+4)^2\\\\400=x^2+x^2+8x+16\\\\400=2x^2+8x+16\\\\400=2(x^2+4x+8)\\\\200=x^2+4x+8\\\\x^2+4x-192=0\\\\x^2+16x-12x-192=0\\\\x(x+16)-12(x+16)=0\\\\(x+16)(x-12)=0\\\\x=-16\ and\ 12$

But height cant be negative so, height will be 12 feet.

Hence, height at which the wire is attached to the pole is 12 feet.

8 0

3 years ago

Look at the two equations:

Dvinal [7]

Answer:

$- 3x + 6 = 21$

$- 3x = 21 - 6$

$- 3x = 18$

$- 3x \div - 3 = 18 \div - 3$

$x = - 6$

$- 3x + 6 < 21$

$- 3x < 21 + 6$

$- 3x < 27$

$- 3x \div - 3 < 27 \div - 3$

$x > - 9$

8 0

3 years ago

Solve: 2(7 – x) = 3(x + 3)

GarryVolchara [31]

If you would like to solve 2 * (7 - x) = 3 * (x + 3), you can do this using the following steps:

2 * (7 - x) = 3 * (x + 3<span>)
</span>2 * 7 - 2 * x = 3 * x + 3 * 3
14 - 2 * x = 3 * x + 9
14 - 9 = 3 * x + 2 * x
5 = 5 * x
x = 1

The correct result would be x = 1.

5 0

3 years ago

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