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3 years ago

Hcf and lcm 112 and 46 using prime factorisation

Mathematics

2 answers:

White raven [17]3 years ago

7 0

Answer:

HCF: 2

LCM: 2576

Step-by-step explanation:

Prime factorizations:

112 = 2×2×2×2×7

46 = 2×23

HCF: 2 (only common factor)

LCM: 2×2×2×2×7×23 = 2576

MA_775_DIABLO [31]3 years ago

4 0

Answer:

HCF of 112 and 46 = 2

Step-by-step explanation:

HCF/GCD/GCF all mean the same. They are the highest common factor of two or more numbers.

Step 1: First you extract all the 'Prime' factors of each number.

The ladders on the image show that you are dividing each number with the smallest prime number. You keep doing it till you reach 1 .

Step 2: Then you write the factors of each.

Step 3: You choose the common factors.

Step 4: Multiply the common factors (if any) and then you have your answer.

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If a runner runs at a constant rate of 6 miles per hour how much time would it take for her to run 9 miles

Neko [114]

Answer:

1 1/2

Step-by-step explanation:

divide 9 by 6 (because its 6 miles per hour) you get 1 1/2. so it would be 1 1/2 hours or 1/5 hours

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2 years ago

Read 2 more answers

The value in cents of 4 quarters and x dimes is

Zina [86]

To add numbers, their units should be the same. We need first to convert the quarters and dimes into cents.
4 quarters is equal to 100 cents, while a dime is equal to 10 cents.
In formula, the answer would be 100+10x. ( x refers to the number of dimes)

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3 years ago

A minimum temperature of -4.44°C was recorded at a lake. A minimum temprature of 23.3°C was recorded later on the same day. Dete

GuDViN [60]

Answer:

27.74 is the difference

Step-by-step explanation:

23.3° C - (-4.44° C)

23.3 + 4.44

27.74

5 0

2 years ago

Please help: A box contains 5 yellow balls, 3 blue, and 1 red ball. Two balls are drawn at random. Find the probability that:

Y_Kistochka [10]

Answer:

a) 0.2778

b) 0.3611

c) 0.1389

d) 0.0833

Step-by-step explanation:

We have a total of 5 + 3 + 1 = 9 balls

a) First ball being yellow: we have 5 yellow balls, so P1 = 5/9

Second ball being yellow after one yellow was drawn: we have 4 yellows and 8 balls, so P2 = 4/8 = 1/2

Both yellows: P = P1 * P2 = 5/18 = 0.2778

b) Both blues:

P1 = 3/9 = 1/3

P2 = 2/8 = 1/4

P = P1 * P2 = 1/12 = 0.0833

Both yellows or both blues: 5/18 + 1/12 = 0.2778 + 0.0833 = 0.3611

c) First yellow: P1 = 5/9

Second red: P2 = 1/8

Pa = P1 * P2 = 5/72

First red: P3 = 1/9

Second yellow: P4 = 5/8

Pb = P3 * P4 = 5/72

P = Pa + Pb = 10/72 = 5/36 = 0.1389

d) First blue: P1 = 3/9 = 1/3

Second red: P2 = 1/8

Pa = P1 * P2 = 1/24

First red: P3 = 1/9

Second blue: P4 = 3/8

Pb = P3 * P4 = 1/24

P = Pa + Pb = 2/24 = 1/12 = 0.0833

8 0

3 years ago

Jason worked 20 hours at $5 per hour and 30 hours at $6 per hour. What was his average hourly wage Please show all your work

11111nata11111 [884]

Jason worked 20 hours at $5 per hour and 30 hours at $6 per hour.

20 hours at $5 per hour = 20 times 5

$20 \times 5 = \$100$

30 hours at $6 per hour = 30 times 6

$30 \times 6 = 180$

$180 + 100 = 280$

He earned $280 in 50 hours. Divide:

$280 \div 50 = 5.6 \rightarrow 5.60$

Your answer is the last choice, $5.60

8 0

3 years ago