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Three percent of Jennie’s skin cells were burned when she escaped from a fire. If 3.7×10’(of her skin cells were burned then, how many skin cells were not burned? Must show work

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Answer:

The quantity of Jennie's skin cell were not burned is 119.601 × [tex]10^{10}[/tex]  .

Step-by-step explanation:

Given as :

The percentage of Jennie's skin cell were burned = 3 %

The quantity of Jennie's skin cell were burned = 3.7 × [tex]10^{10}[/tex]

Let The quantity of Jennie's skin cell were not burned = x

Let Total quantity of whole skin cell = n

Now, According to question

The quantity of Jennie's skin cell were burned = Total quantity of whole skin cell × percentage of Jennie's skin cell were burned

i.e 3.7 × [tex]10^{10}[/tex] = n × 3 %

Or, 3.7 × [tex]10^{10}[/tex] = n × [tex]\dfrac{3}{100}[/tex]

Or, n =  3.7 × [tex]10^{10}[/tex] × [tex]\dfrac{100}{3}[/tex]

Or, n = [tex]\frac{3.7\times 10^{12}}{3}[/tex]

i.e n = 1.233 × [tex]10^{12}[/tex]

Or, Total quantity of whole skin cell = n = 1.233 × [tex]10^{12}[/tex]

Now, Again

∵ percentage of Jennie's skin cell were burned = 3 %

So, percentage of Jennie's skin cell were not burned = 100 % - 3 % = 97 %

so , The quantity of Jennie's skin cell were not burned = 97 % of Total quantity of whole skin cell

Or, x = [tex]\frac{97}{100}[/tex] × n

Or, x =  [tex]\frac{97}{100}[/tex] × 1.233 × [tex]10^{12}[/tex]

∴ x = 119.601 × [tex]10^{10}[/tex]

So, The quantity of Jennie's skin cell were not burned = x = 119.601 × [tex]10^{10}[/tex]

Hence,  The quantity of Jennie's skin cell were not burned is 119.601 × [tex]10^{10}[/tex]  . Answer

facundo3141592

We want to find the number of non-burned skin cells given that we know the percentage it represents.

1,196 cells were not burned.

Let's define N as the total number of cells.

3% were burned

then 97% were not burned.

We know that 3.7*10 cells were burned, and this is the 3% of N, then we have:

0.03*N = 3.7*10

N = (3.7*10)/0.03 = 1,233.33 in total.

The 97% of this is:

0.97*1,233.33 = 1,196.33

That we can round to the next whole number, 1,196

This means that 1,196 cells were not burned.

If you want to learn more, you can read:

https://brainly.com/question/2724587