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BaLLatris [955]
3 years ago
11

What is the least common multiple ofv8 and 12?​

Mathematics
2 answers:
topjm [15]3 years ago
6 0

Answer:

Step-by-step explanation:

8: 2 * 2 * 2           Eight factors into 3 twos

12: 2*2 * 3            12 factors into 2 twos and 1 three

LCM: 2 *  2 * 2 * 3

LCM: 24

svp [43]3 years ago
3 0
24
because 3 times 4 is 24 and 12 times 2 is 24
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Answer:

1920 gallons of water

Step-by-step explanation:

From the question; the amount of water is proportional to volume of the tank

i.e amount of water = volume of the tank

in a tropical fish;

3000 gallons of water = 12.5 m³     ----- Equation (1)

However, in the  measurement of  shark tank, we have

length = 20cm = 0.2 meters

width = 4 meters

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From the measurement of  shark tank, we can calculate the volume;

The volume of the tank = Length × width × height

Volume of the tank = 0.2 × 4 × 10 = 8 m³

since, the amount of water is proportional to volume of the tank

y ( Gallons of water ) = 8 m³    -------- Equation (2)

Equating equation 1 and 2; we have:

3000 gallons of water = 12.5 m³  

y ( Gallons of water ) = 8 m³    

y ( Gallons of water ) ×  12.5 m³  = 3000 gallons of water × 8 m³  

y ( Gallons of water )  = \frac{3000 gallons of water * 8 m^3  }{12.5m^3}

y ( Gallons of water )  = \frac{24000}{12.5}

y ( Gallons of water )  = 1920 gallons of water

Thus, the shark tank can hold 1920 gallons of water

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