3 years ago

El exceso de un número sobre 20 es igual a las tres cuartas partes del mismo número. ¿Cuál es el número?

Mathematics

1 answer:

Dennis_Churaev [7]3 years ago

4 0

Answer:

The number is 80

Step-by-step explanation:

The question in English is

The excess of one number over 20 equals three quarters of the same number. What is the number?

Let

x ------> the number

we know that

The linear equation that represent this situation is

$x-20=\frac{3}{4}x$

Solve for x

$x-\frac{3}{4}x=20$

$\frac{1}{4}x=20$

$x=80$

therefore

The number is 80

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2 years ago

caleb and emily are standing 100 yards from each other. caleb looks up at a 45 degree angle to see a hot air balloon. Emily look

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Check the picture below.

thus then

$\bf \begin{cases}
y=100-a\\
y=a\sqrt{3}
\end{cases}\implies 100-a=a\sqrt{3}\implies 100=a+a\sqrt{3}
\\\\\\
100=a(1+\sqrt{3})\implies \boxed{\cfrac{100}{1+\sqrt{3}}=a}
\\\\\\
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\\\\\\
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