Maths-
General
Easy
Question
A drink machine contains 90 litres of water. How many 0.3 litre cups of water can be filled from the machine ?
Hint:
Perform division and thus get the total number of cups possible.
The correct answer is: 300
Complete step by step solution:
Water contained in machine = 90 litres
Capacity of 1 cup of water = 0.3 litres
Number of 0.3 L cups of water that can be filled = ![fraction numerator 90 over denominator 0.3 end fraction](data:image/png;base64,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)
On multiplying 10 on numerator and denominator, we have ![fraction numerator 90 cross times 10 over denominator 3 cross times 10 end fraction](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAEEAAAAjCAYAAADLy2cUAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAAjtJREFUeNrtmTFIw0AUhkOR0qEI4uDQQRBxLII4ShFEREoRwcFJRHDuLk7i4iQOgog4OAjSUUQQKcVJEHFwKII4d3HoIEGE+h++ajwuyeVyl1C9H74hl9fm5fXy3uuL4/irBG6AC95ADYwI7PrBPrglDmjNlMbAJngIsNHi0yx4BJMgA/rAGmiCIc72GlQ8x2VaM6UTsA46ATZafLrz+dWXwA53vCew2wXLjln5BUGbTx8+62xX3HuOa7RreE3TOZE2iKjnZIOg4pNQz2BCsD5M+aGrV5AV2LG1VsD3i242SgCCgqDqk3BLvVByzBBl2gXvEjvG4ezCAhE1AEFBiOOTsDrUqTowzsAotxOCLuhKXIPd+JVCAFSD4OpIRjkqOV21fLZeTnLrmQhCXJ9CxZLLFpeE5nxKbC2lxyGOT1LaBgXP8SI4FNgdh5Qjk4lR1Sdhs7Ho2VYF6tIqAluWN6rUUGXpRhoRA6CzRKr4JNQMfRFLMm1wCoo+tgPgyNNesxY1b7hJ4knbJysrK6u/q84/xMrKyspKx9/oC+rFWU/+5HwNLwcNXjOx8bqs6tw/S6ZxcGkwCImN1+OqnVAPI1KaI/9vsXcTzRRnB9rG6ypib6FWKS/Mh9j2xHg9TmtdlfxcT4zXo4pNbhYoG5ciBKLnxusyyju/R/BJB8H4eF1WboqPg/HxuoyKlBzTSozaxuuyalBdZmPsDJUh9r5yJcUS2W3iYo/XZTUFzp2fd5N16s6SHvSIknSs8fonD6AAW5DBFo4AAACxdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1mcmFjPjxtcm93Pjxtbj45MDwvbW4+PG1vPiYjeEQ3OzwvbW8+PG1uPjEwPC9tbj48L21yb3c+PG1yb3c+PG1uPjM8L21uPjxtbz4mI3hENzs8L21vPjxtbj4xMDwvbW4+PC9tcm93PjwvbWZyYWM+PC9tYXRoPptmu38AAAAASUVORK5CYII=)
![table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell not stretchy rightwards double arrow 900 over 3 end cell row cell not stretchy rightwards double arrow 300 end cell end table](data:image/png;base64,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)
So, 300 cups carrying 0.3 litres can be filled from the machine.
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Maths-General
Maths-
Write the standard form for ![6.8 cross times 10 to the power of negative 8 end exponent](data:image/png;base64,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)
Write the standard form for ![6.8 cross times 10 to the power of negative 8 end exponent](data:image/png;base64,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)
Maths-General
Maths-
Simplify by combining similar terms: ![2 root index 8 of 4 plus 7 cube root of 32 minus cube root of 500](data:image/png;base64,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)
Simplify by combining similar terms: ![2 root index 8 of 4 plus 7 cube root of 32 minus cube root of 500](data:image/png;base64,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)
Maths-General
Maths-
Evaluate ![x squared plus 1 over x squared text if end text x equals 3 plus square root of 8](data:image/png;base64,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)
Evaluate ![x squared plus 1 over x squared text if end text x equals 3 plus square root of 8](data:image/png;base64,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)
Maths-General