2 years ago

Solve the following proportion. х 42 35 10

Mathematics

1 answer:

anzhelika [568]2 years ago

6 0

Answer:

Step-by-step explanation:

The proportion is equal to $\frac{x}{10}=\frac{42}{35}$

We can simplify the right side by dividing by 7/7 to get the right side equal to 6/5. Now we can cross-multiply to get

$60=5x$

Dividing both sides by 5, we have the answer as

$x=12$

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Learn with an example

Marina86 [1]

Answer:

$\large{\textbf{f(g(x)) = 20}\\}$

Step-by-step explanation:

$\large{\textup{Given}:\\$f(x) = 5x $ \hspace{5mm} \& \hspace{5mm} $g(x) = 4x $\\$$ f \circ g(x) = f(g(x)) $$\\$ \implies f(g(x)) = f(5x) $\\\textup{i.e., To substitute $5x$ instead of $x$ in $f(x)$}\\$\implies f(5(x)) = 4(5(x)) = 20x \\ $\textup{Now,}$f(g(1)) = 20(1) =20$}$