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Tems11 [23]
2 years ago
12

The least common multiple of 24, 28 and 45 is:

Mathematics
2 answers:
lisabon 2012 [21]2 years ago
7 0

Answer: 2520

Step-by-step explanation:

postnew [5]2 years ago
4 0

Answer:

B

Step-by-step explanation:

Find all prime factors

prime factors of 24 are 2, 2, 2 and 3.

The prime factors of 28 are 2, 2 and 7.

The prime factors of 45 are 3, 3 and 5.

Determine the maximum number of times each prime factor (2, 3, 5, 7) occurs in the factorization of the given numbers:

Prime factorNumber 24 28 45 Max. occurrence

2 3 2 0 3

3 1 0 2 2

5 0 0 1 1

7 0 1 0 1

The prime factors 5 and 7 occur one time, while 2 and 3 occur more than once.

The least common multiple is the product of all factors in the greatest number of their occurrence.

LCM = 2*2*2*3*3*5*7

LCM = 2^3*3^2*5*7

LCM = 2520

The least common multiple of 24, 28 and 45 is 2520.

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Can you help me with this
hichkok12 [17]

Answer:

37/24

Step-by-step explanation:

Since the denomenators must be consistent, both 8 and 12 have the common factor of 24.

the denominator of 8 must be multiplied by 3 to get to 24, but to multiply the denominator you must multiply the numerator by 3 which gives you

15/24

the denominator of 12 must be multiplied by 2 to get 24, so you must multiply 11 by 2 as well to get

22/24

add them together to get 37/24

8 0
3 years ago
How did my teacher get 11 for #17
wel
Complementary angles ⇒ the angles add up to 90°

∠A and ∠B are complementary ⇒ ∠A + ∠B = 90°

∠A + ∠B = 90°

Plug in the values for ∠A and ∠B:
(3x - 8) + (5x + 10)  = 90

Open the brackets:
3x - 8 + 5x + 10 = 90

Combine like terms:
8x + 2 = 90

Subtract 2 from both sides:
8x = 88

Divide both sides by 8:
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5 0
3 years ago
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what is the probability of choosing a point inside a cylinder but not inside the cone that has the same base and height as the c
MArishka [77]
The\ cone\ that\ has\ the\ same\ base\ and\ height\ as\ the\ cylinder\\states\ \frac{1}{3}\ of\ the\ cylinder.\\\\The\ probality\ of\ choosing\ a\ point\ inside\ a\ cylinder\ not\ inside\\the\ cone\ is\ equal\ to\ \frac{2}{3}.
3 0
3 years ago
Division A reports the following data: Sales = $180,000, Net income = $18,000, Average'assets
Karolina [17]

Company A is operating more efficiently

Step-by-step explanation:

Given parameters:

Division A:

Sales = $180,000

Net income = $18,000

Average assets = $72,000

Division B:

Sales = $60,000

Net income = $9,600

Average assets = $48,000

Unknown:

Division operating more efficiently = ?

Solution:

Efficiency measures the relationship between the output from a business and the input into it. Here, the efficiency is the relationship between the net income and the average assets. it can be expressed as a percentage or ratio.

The net income is the profit derived from sales of a company's products.

The higher the value the more efficient a company is.

 Efficiency = \frac{net income}{Average assets} x 100

 Efficiency of division A = \frac{18000}{72000} x 100 = 25%

 Efficiency of division B = \frac{9600}{48000} x 100 = 20%

Division A has a higher efficiency compared to B

Learn more:

Economic goals brainly.com/question/8951463

#learnwithBrainly

3 0
3 years ago
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