All categories

3 years ago

How can you use number patterns to find the least common factor

Mathematics

1 answer:

Aleks04 [339]3 years ago

5 0

Answer:

The correct answer is: 360.

Explanation:

First we can express 120 as follows:

2 * 2 * 2 * 3 * 5 = 120

You can get the above multiples as follows:

120/2 = 60

60/2 =30

30/2 = 15

15/3 = 5 (Since 15 cannot be divisible by 2, so we move to the next number)

5/5 = 1

Take all the terms in the denominator for 120, you would get: 2 * 2 * 2 * 3 * 5 --- (1)

Second we can express 360 as follows:

360/2 = 180

180/2 = 90

90/2 =45

45/3 = 15 (Since 45 cannot be divisible by 2, so we move to the next number)

15/3 = 5

5/5 = 1

Take all the terms in the denominator for 360, you would get: 2 * 2 * 2 * 3 * 3 * 5 --- (2)

Now in (1) and (2) consider the common terms once and multiple that with the remaining:

2*2*2*3*5 = Common between the two

3 = Remaining

Hence (2*2*2*3*5) * (3) = 360 = LCM (answer)

You might be interested in

A cake has two layers. Each layer is a regular hexagonal prism. You cut and remove a slice that takes away one face of each pris

elena-s [515]

The volume of the slice is 129 in^3 and that of the remaining cake is 374. 4 in^3

<h3>How to determine the volume </h3>

Using the formula:

Volume = 3abh

Where a = apothem length

b = length of the side of the base

h =height of the prism

Substitute values from the diagram into the formula

Volume = 3 × 5 × 4.3 × 2

Volume = 129 in^3

Volume of the remaining cake

Volume = 3abh

Volume = 3× 5.2 × 4 × 6

Volume = 374. 4 in^3

Thus, the volume of the slice is 129 in^3 and that of the remaining cake is 374. 4 in^3

Learn about volume of a hexagonal prism here:

brainly.com/question/9647193

#SPJ1

8 0

2 years ago

Which situation could be represented by an exponential function select each correct answer

ANTONII [103]

Answer:

The first and third options are the examples of exponential functions.

Step-by-step explanation:

When a quantity is compounded after a certain interval of time at a certain rate, then we can assume that the situation can be represented by an exponential function.

In the first option: An event organizer finds each year's attendance for the past five years is about $\frac{4}{5}$ of previous year's attendance.

So, here the total attendance is compounding every year by a factor $\frac{4}{5}$ of previous year's attendance.

Again, in the third case: The total population is increasing by about 7.5% each year.

Hence, the population is compounded every year by 7.5% of the previous year's population.

Therefore, the first and third options are examples of exponential functions. (Answer)

3 0

3 years ago

What is 2+2 l m a o

ICE Princess25 [194]

Answer

2 + 2 = 21

Step-by-step explanation:

because, vine.

3 0

3 years ago

Read 2 more answers

Find the missing angles in the parallelogram.

algol [13]

Answer:

85, 95, 95

Step-by-step explanation:

A = 85

B = 95

C = 95

I hope this helped!

7 0

2 years ago

What is the value of x?

uranmaximum [27]

Answer:

$x=\frac{160-51}{2} =54.5$ °

Step-by-step explanation:

"Theorem 9-13: The measure of an angle formed by two secants, two tangents, or a secant and a tangent drawn from a point outside the circle is equal to half the difference of the measures of the intercepted arcs."

Basically no matter what other circle, secant or tangent you get, you just use the formula $Outer\angle=\frac{far.point - near.point}{2}$

If you need the outer angle, just put the other angles in and solve

If you need the far or near point angle, re-arrange the formula to get that value.

6 0

3 years ago