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2 years ago

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:

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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find the total cost of this food: 4lb. steak @ 3.89 per pound, 4 dozen eggs @ $1.05 per dozen, 2 gallons of milk @ $1.99 per gal

tia_tia [17]

Answer: The employees in a firm earn $8.50 an hour for the first 40 hours per week, and 1.5 ... purchase 4 lb steak for $3.89 per pound, 4 dozen eggs for $1.05 per dozen, 2 gallons of milk for $1.99 per gallon, and 3 loaves of bread for $1.79 per loaf

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5 0

3 years ago

Read 2 more answers

The sum of 5 consecutive integers is 205. What is the third number?

Elza [17]

If 5 consecutive integers is 205,

then a + b + c + d + e = 205
but also, each integer is separated by a difference of 1

⇒ a + (a + 1) + (a + 2) + (a + 3) + (a + 4) = 205
⇒ 5a + 10 = 205
⇒ 5a = 195
⇒ a = 39

∴ third term = 39 + 2
= 41

7 0

3 years ago

4. Liam can work at most 20 hours a week but he needs to earn at least $125. His dog-walking job pays

Oxana [17]

Two possible solutions are: (4.5, 8.5) and (8, 6.3)

<h3>How to graph the inequality?</h3>

Let x represents hours dog walking and y represents hours washing cars.

So, we have:

Earnings = Rate of dog walk * x + Rate of car wash * y

This gives

Earnings = 7x + 11y

He wants to earn at least $125.

This means that:

7x + 11y ≥ 125

See attachment for the graph of the inequality

From the attached graph, two possible solutions are: (4.5, 8.5) and (8, 6.3)