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viktelen [127]
3 years ago
9

Is 4 to 7 the same as 7 to 4? Explain why or why not?

Mathematics
2 answers:
lutik1710 [3]3 years ago
6 0

Answer:

Yes.  The difference between them are the same.  Both have the same number of units between them,

Step-by-step explanation:

Gnom [1K]3 years ago
3 0

Step-by-step explanation:

4 times of 7 (7 + 7 + 7 + 7 = 28) is the same as 7 times of 4 (4 + 4 + 4 + 4 + 4 + 4 + 4 = 28)

4^7 (4 x 4 x 4 x 4 x 4 x 4 x 4 = 16384) is not the same as 7^4 (7 x 7 x 7 x 7 = 2401)

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Answer:

Part A) distance covered by the aligned red cells is: 180000 Km

Part B) 8000000 bacteria (8 million bacteria)

Step-by-step explanation:

Part A)

Let's first find the total number of red cells that the person has in the 5 liters, knowing that there are 4,500,000 of them in a cubic millimetre:

Since 1 liter contains 1,000,000 cubic millimetres, then, in 5 liters there must be 5 times that number of cubic millimetres. That is a total of 5,000,000 cubic millimetres.

Since in each cubic millimetre there are 4,500,000 red cells, then the number of red cells in the 5 liters must be the product of these two quantities:

4,500,000 x 5,000,000 = 22,500,000,000,000 red blood cells.

Now, to find the distance they will cover aligned one after the other, knowing that their average diameter is 0.008 mm is:

22,500,000,000,000 x 0.008 mm= 180000000000 mm

22.5\,\,10^{12} * 8\,\,10^{-3}=1.8\,\,10^{11} mm

In order to convert this distance into Km as requested, we use the fact that 1 mm = 0.000001 Km, or using exponents in base ten:

1 mm = 10^{-6}\,\,Km

Then, the distance covered in kilometers is:

1.8\,\,10^{11}\,*\,10^{-6} \,\,Km=1.8\,\,10^{5}\,\,Km=180000\,\,Km

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The vaccine contains a total of  10^8  bacteria per cm^3

In order to find how many bacteria we have in 80 mm^3 of the vaccine, we first need to convert 80 mm^3  into cm^3:  

80\,\, mm^3 = 0.08 \,\,cm^3

Then, if in one cm^3 there is 10^8  bacteria, in 0.08\,\,cm^3 there would be: 0.08\,*\,10^8 bacteria. That is: 8\,\,10^6 bacteria = 8000000 bacteria (eight million bacteria)

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