Basic Mathematics
Ratio, Rate, and Proportion
The ratio 2 to 3 is equivalent to the ratio \( 12 : N \). What is the value of \(N\)?
For what value of \(N\) do we have
\[ 5 : 8 = 25 : N ? \]
For what value of \(N\) do we have
\[ 2 : 7 = 6 : N ? \]
If \(x\) satisfies both the proportional expression \((x-5):(x+4)=2:3\) and the linear equation \(\frac{1}{3}(x-2)=\frac{3-x}{4}-(3-a)\), what is the value of the constant \(a\)?
For what value of \(N\) do we have
\[ 10 : 16 = 40 : N ? \]