Question

3.8:(4c+3)=2:2 2/19Please help me! I really appreciate it!

Answer 1

Please note that in such questions, the ":" stands for ratio which in turn stands for divide. Thus, the given expression which is:

$3.8:(4c+3)=2:2\frac{2}{19}$ will become:

$\frac{3.8}{4c+3}= \frac{2}{2\frac{2}{19}}$.....(Equation 1)

Now, we know that 3.8 can be rewritten as $\frac{38}{10}$. Also, we know that the mixed fraction $2\frac{2}{19}$ can be re-written as:

$2\frac{2}{19}=2+ \frac{2}{19}= \frac{38+2}{19}= \frac{40}{19}$

Using the above two expressions in (Equation 1) we get:

$\frac{\frac{38}{10}}{4c+3}= \frac{2}{\frac{40}{19}}$

$\frac{\frac{38}{10}} {4c+3}= \frac{2\times 19}{40}= \frac{38}{40}$

Cross-multiplication gives:

$38(4c+3)=\frac{40\times 38}{10}$

$4c+3=4$$4c=1$

$c=\frac{1}{4}$

Or c=0.25

Thus, we may write the value of c as either the decimal 0.25 or the fraction $\frac{1}{4}$.

Answer 2

Answer:

c = 0.25

Question:

3.8:(4c+3)=2:2 2/19