two percent of Jennies skin cells were burned when she escaped from a fire. If 
3.7×10^10 of her skin cells were burned then, how many skin cells were not burned

Respuesta :

[tex]1.813*10^{12}[/tex] cells of Jennies skin were not burned.

Step-by-step explanation:

Given,

Burned skin cells = [tex]3.7*10^{10}[/tex]

This represents 2% of total skin cells.

Let,

x represents the total number of skin cells.

2% of x = [tex]3.7*10^{10}[/tex]

[tex]\frac{2}{100}x=3.7*10^{10}\\\\0.02x=3.7*10^{10}[/tex]

Dividing both sides by 0.02

[tex]\frac{0.02x}{0.02}=\frac{3.7*10^{10}}{0.02}\\\\x=1.85*10^{12}[/tex]

Number of not burned cells = Total - burned

Number of not burned cells = [tex]1.85*10^{12}-3.7*10^{10}[/tex]

Number of not burned cells = [tex]1.813*10^{12}[/tex]

[tex]1.813*10^{12}[/tex] cells of Jennies skin were not burned.

Keywords: percentage, division

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Answer:

This is how I did it. Not guaranteed, but pretty sure it is correct

Step-by-step explanation:

The unknown is how many cells total so we can call it x. WE know that 2% of cells were burned so we need to find out the total number of cells first and then go from there. 2%= 3.7 x 10^10 and x= total number of skin cells. so 2% of the total number of cells can be written as follows: 2/100x=3.7(10^10)

2/100x becomes 0.02x now we have 0.02x=3.7(10^10)

Divide both sides of the equation by 0.02. On the left side of equation you can cancel out the 0.02 in the numerator and denominator and you are left with x. x=185 (10^10) which is the total number of cells. Now you must subtract the 2% of cells from the total # of cells to get your answer. 185(10^10)-3.7 (10^10) and you get 185-3.7=181.3 Finally, you have to put your answer in scientific notation by moving the decimal until you have only one digit that is not zero before your decimal point. Hoever many spaces you move it will be your integer or power.  In this case, you need to move the decimal 2 places to the left so your integer will be positive 2. Your answer is 1.813(10^2)