All categories

3 years ago

4. Find the LCM of the following numbers using prime factors:

Mathematics

1 answer:

Vadim26 [7]3 years ago

5 0

Answer:

The least common multiple of 6, 15 and 40 is 120.

The least common multiple of 32, 48 and 72 is 288.

The LCM of 20 and 24 is 120.

The LCM of 30 and 90 is 90.

The LCM of 150 is 900.

Step-by-step explanation:

Steps to find LCM

Find the prime factorization of 150. 150 = 2 × 3 × 5 × 5.
Find the prime factorization of 180. 180 = 2 × 2 × 3 × 3 × 5.
LCM = 2 × 2 × 3 × 3 × 5 × 5.
LCM = 900.

You might be interested in

An object is traveling at a steady speed of 9 9/10 km/per hour about how long will it take the object to travel 5/1/10 km/per ho

Delicious77 [7]

Answer:

0.52 km

Step-by-step explanation:

We are given that

Speed of object, v= $9\frac{9}{10}km/h$

Speed of object, v= $9+0.9=9.9km/h$

Distance travel by object, s= $5\frac{1}{10}km$

Distance travel by object, s= $5+0.1=5.1km$

We have to find the time taken by object to travel 5 1/10 km.

We know that

$Time=\frac{Distance}{speed}$

Using the formula

Time taken by object to travel 5.1 km = $\frac{5.1}{9.9} hr$

Time taken by object to travel 5.1 km=0.52 hr

8 0

3 years ago

What is the answer 10 x 57

Fofino [41]

Answer:

570 Mr.Monkay :D

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Which of the following is not an example of like terms?

Viktor [21]

Answer:

A. 2 and-6

Step-by-step explanation:

Like terms are terms that contain the same variables raised to the same powers. In other words, they have the same variables with the same exponents.

So in option A, we have the terms 2 and -6. These terms are not like terms because they do not have the same variables.

4 0

2 years ago

Read 2 more answers

Kim rode her bicycle 135 miles in 9 weeks, riding the same distance each week. Eric rode his bicycle 102 miles in 6 weeks, ridin

Juli2301 [7.4K]

Answer:

Eric rode 2 more miles per week than Kim rode.

Step-by-step explanation:

Find how many miles per week Kim rode by dividing the number of miles she rode by the number of weeks:

135/9

= 15

Find how many miles per week Eric rode:

102/6

= 17

So, Kim rode 15 miles per week and Eric rode 17 miles per week.

The answer is Eric rode 2 more miles per week than Kim rode.

4 0

3 years ago

A tenant rented a store to use as a real estate school at a base rent of $1,500 a month. Additionally, the tenant agreed to pay

allsm [11]

Answer:

3. $600,000

Step-by-step explanation:

We have been given that a tenant rented a store to use as a real estate school at a base rent of $1,500 a month. Additionally, the tenant agreed to pay 3% of gross annual sales over $200,000.

Let us find base annual rent.

$\text{Base annual rent}=\$1500\times 12\\\\ \text{Base annual rent}=\$18,000$

Let us find the amount of rent paid as 3% of gross annual sales.

$\$30,000-\$18,000=\$12,000$

Let us find amount of sales over $200,000 by dividing $12000 by 3% or 0.03.

$\frac{\$12,000}{0.03}=\$400,000$

Total sales would be $400,000 plus $200,000.

$\text{Total sales}=\$400,000+\$200,000\\\\ \text{Total sales}=\$600,000$

Therefore, the total sales for that year was $600,000 and 3rd option is the correct choice.

7 0

4 years ago