Answer:
C. In step 2, Cindy should have multiplied both sides of the equation by 2.
Step-by-step explanation:
I'll go through the equation correctly, and then point out what would have happened.
3 = x/2 - 5
Add 5 to both sides. -5 and 5 cancel out.
8 = x/2
What Cindy should have done here is multiply by 2, not divide by 2. It is important to remember that you do the INVERSE operation to cancel out a number.
What would have happened here is that we have an extra step (though either way we still end up with x being 16.)
Correct Step 2:
Multiply both sides by 2. x/2 and 2x cancel out.
x = 16
Incorrect Step 2:
8/2 = (x/2)/2
4 = x/4
Multiply both sides by 4 (this would be the extra step!).
16 = x
Answer:
a) 2.00 × 10¹⁰; b) 2.00 × 10¹³
Step-by-step explanation:
a) No. of cells in 1 cm³
![\text{No. of cells} =\text{1 cm}^{3} \times\left( \dfrac{\text{1 m}}{\text{100 cm}}\right )^{3} \times \left (\dfrac{1 \, \mu \text{m} }{10^{-6}\,\text{ m}}\right )^{3} \times \dfrac{\text{1 cell}}{\text{50 $\,\mu$m}^{3}} = \mathbf{2.00 \times 10^{10}} \textbf{ cells}](https://tex.z-dn.net/?f=%5Ctext%7BNo.%20of%20cells%7D%20%3D%5Ctext%7B1%20cm%7D%5E%7B3%7D%20%5Ctimes%5Cleft%28%20%5Cdfrac%7B%5Ctext%7B1%20m%7D%7D%7B%5Ctext%7B100%20cm%7D%7D%5Cright%20%29%5E%7B3%7D%20%5Ctimes%20%5Cleft%20%28%5Cdfrac%7B1%20%5C%2C%20%5Cmu%20%5Ctext%7Bm%7D%20%7D%7B10%5E%7B-6%7D%5C%2C%5Ctext%7B%20m%7D%7D%5Cright%20%29%5E%7B3%7D%20%5Ctimes%20%20%5Cdfrac%7B%5Ctext%7B1%20cell%7D%7D%7B%5Ctext%7B50%20%24%5C%2C%5Cmu%24m%7D%5E%7B3%7D%7D%20%3D%20%5Cmathbf%7B2.00%20%5Ctimes%2010%5E%7B10%7D%7D%20%5Ctextbf%7B%20cells%7D)
b) No. of cells in 1 L
![\text{No. of cells} = \text{1 L} \times \dfrac{\text{1000 cm}^{3}}{\text{1 L}} \times \dfrac{2 \times 10^{10} \text{ cells}}{\text{1 cm}^{3}} = \mathbf{2.00 \times 10^{13}} \textbf{ cells}](https://tex.z-dn.net/?f=%5Ctext%7BNo.%20of%20cells%7D%20%3D%20%20%5Ctext%7B1%20L%7D%20%5Ctimes%20%5Cdfrac%7B%5Ctext%7B1000%20cm%7D%5E%7B3%7D%7D%7B%5Ctext%7B1%20L%7D%7D%20%5Ctimes%20%5Cdfrac%7B2%20%5Ctimes%2010%5E%7B10%7D%20%5Ctext%7B%20cells%7D%7D%7B%5Ctext%7B1%20cm%7D%5E%7B3%7D%7D%20%3D%20%5Cmathbf%7B2.00%20%5Ctimes%2010%5E%7B13%7D%7D%20%5Ctextbf%7B%20cells%7D)
The answer in decimal is 1.75; and the answer in fraction form is 1 and 3/4. when you really think about it, fractions are just fancy ways of dividing. With this problem you can divide 21 by 12 on your calculator and get the 1.75.
:) hope this helped
-17x + x you dont know the value of x so it's considered as one