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3 years ago

What is the LCM of 6,4,10

Mathematics

2 answers:

Inessa [10]3 years ago

6 0

6 has a factor of 2 and 3

4 has a factor of 2

10 has a factor of 2 and 5

The LCM = 60

n200080 [17]3 years ago

4 0

Answer:

Step-by-step explanation:

The LCM is the lowest common multiple, this means the smallest number that 6, 4 and 10 can go into without giving a decimal number, so they give an integer.

Here's a trick, use prime factorization
Prime factorization means, write a number as the result of the multiplication of prime numbers
prime numbers are numbers with only two factors, 1 and itself
So the prime factorization of 6, 4 and 10 is
6 = 2 x 3
4 = 2 x 2
10 = 2 x 5
For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.
So 2 occurs most often as a factor of 4, so we use two 2s
3 occurs most often as a factor of 6, so we use one 3
5 occurs most often as a factor of 10, so we use one 5
Then multiply this new list of numbers
2 x 2 x 3 x 5 = 60
that's how you quickly get the LCM

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MissTica

You simply need to devide the distance by the speed to get the time, so: 600÷50= 12hrs
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6 0

3 years ago

If DF = 9x -39 find EF

Klio2033 [76]

|DF| = |DE| + |EF|

|DF| = 9x -36

|DE| = 47

|EF| = 3x+10

Substitute:

9x - 39 = 47 + 3x + 10

9x - 39 = 3x + 57 |+39

9x = 3x + 96 |-3x

6x = 96 |:6

x = 16

Put the value of x to the equation |EF| = 3x + 10

|EF| = (3)(16) + 10 = 48 + 10 = 58

Answer: |EF| = 58

7 0

4 years ago

Read 2 more answers

The original price of a computer is $489.00. it is discounted 30%. find the selling price

Yanka [14]

Answer:

$342.30

Step-by-step explanation:

The original price of the computer is $489. The computer is discounted 30%, which means that 30% of the price is removed from the original price.

30% of 489 is

489 * 0.3 which is $146.7

146.7 is the discounted amount, not the selling price. To find the selling price, subtract how much is discounted ( 146.7) from the original price (489).

489-146.7= 342.3

3 0

2 years ago

This is the full page plz help

Scorpion4ik [409]

Angle 1 is congruent to angles 3, 5, and/or 7

Angle 2 is congruent to angles 4, 6, and/or 8

Angle 5 is congruent to angles 7, 3 and/or 1

Angle 6 is congruent to angles 8, 4, and/or 2

Any of these answers could work for the blanks.

Angles 1 and 3, 2 and 4, 5 and 7, and angles 6 and 8 are congruent because they are vertical angles. They have the same vertex. Not all of these are congruent to each other if this doesn’t make sense. It’s only 1 is congruent to 3, 2 congruent to 4, etc.

Then you have your corresponding angles. These are ones like angles 2 and 6, then 1 and 5. You can also have 8 and 4, or 7 and 3 as corresponding angles

Transversal angles are different. This would be like angles 3 and 4, or 1 and 2. They are not always congruent. The only time they will be congruent is if they are both 90°. Transversal angles are essentially supplementary angles on the transversal line (the line that intersects through the set of parallel lines)

3 0

3 years ago

Which expression is equivalent to 5 (w 4) when w = 9? 5 (9) 9 (5) 5 (9) 4 5 (9) 20.

pogonyaev

Expression consists of numbers, variables, and mathematical operations. The expression f(w)=5(w+4) is equal to f(9)=5(9)+20.

<h3>What is an Expression?</h3>

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The expression is given to you is,

$f(w)= 5(w+4)$