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loris [4]
3 years ago
5

Lester's car can go 15.4 miles on 1 gallon of gas. How far can he go on 0.7 gallon?

Mathematics
2 answers:
chubhunter [2.5K]3 years ago
8 0
10.78 miles because you multiply 15.4 by 0.7
GuDViN [60]3 years ago
8 0

Answer:

10.78\ miles

Step-by-step explanation:

we know that

Lester's car can go 15.4 miles on 1 gallon of gas

so

By proportion

Find how far can he go on 10.7 gallon

\frac{15.4}{1}\frac{miles}{gallon}=\frac{x}{0.7}\frac{miles}{gallon}\\ \\x=0.7*15.4\\ \\x=10.78\ miles

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Answer:

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3 years ago
A house costs $600 more than twelve times the lot on which it was built. If the lot cost x dollars, what did the house cost? Whi
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7 0
3 years ago
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How to show these 2 problems are inverses
nataly862011 [7]
\bf \begin{cases}
f(x)=\sqrt[3]{7x-2}\\\\
g(x)=\cfrac{x^3+2}{7}
\end{cases}\\\\
-----------------------------\\\\
now
\\\\
f[\ g(x)\ ]\implies f\left[ \frac{x^3+2}{7} \right]\implies \sqrt[3]{7\left[ \frac{x^3+2}{7} \right]-2}\implies \sqrt[3]{x^3+2-2}
\\\\\\
\sqrt[3]{x^3}\implies x\\\\
-----------------------------\\\\
or
\\\\
g[\ f(x)\ ]\implies g\left[\sqrt[3]{7x-2}\right]\implies \cfrac{\left[\sqrt[3]{7x-2}\right]^3+2}{7}
\\\\\\
\cfrac{7x-2+2}{7}\implies \cfrac{7x}{7}\implies x

thus f[ g(x) ] = x indeed, or g[ f(x) ] =x, thus they're indeed inverse of each other
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3 years ago
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