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3 years ago

8

The width of a computer monitor is 1.25 times its height. Find the height of the computer monitor when the height is x and the w

idth is 15 in.

1 answer:

Shkiper50 [21]3 years ago

3 0

<span>The width of a computer monitor is 1.25 times its height: w=1.25*h
h=x, w=15in
15=1.25*x, x=15/1.25
x=12in.
</span>

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Does anyone know how to do this and if so can you please help me and explain how to do it, it’ll be appreciated thank you

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Answer:

13) $(5x)^{-\frac{5}{4}$ ⇒ $\frac{1}{\sqrt[4]{(5x)^5}}$

15) $(10n)^{\frac{3}{2}$ ⇒ $\sqrt{(10n)^3}$

Step-by-step explanation:

Given expression:

13) $(5x)^{-\frac{5}{4}$

15) $(10n)^{\frac{3}{2}$

Write the expressions in radical form.

Solution:

For an expression with exponents as fraction like

$(x)^{\frac{m}{n}$

the numerator $m$ represents the power it is raised to and the denominator $n$ represents the nth root of the expression.

For an expression with exponents as negative fraction like

$(x)^{-\frac{m}{n}$

We take the reciprocal of the term by rule for negative exponents.

So it is written as:

$\frac{1}{(x)^{\frac{m}{n}}}$

using the above properties we can write the given expressions in radical form.

13) $(5x)^{-\frac{5}{4}$

⇒ $\frac{1}{(5x)^{\frac{5}{4}}}$ [Using rule of negative exponents]

⇒ $\frac{1}{\sqrt[4]{(5x)^5}}$ [writing in radical form]

15) $(10n)^{\frac{3}{2}$

⇒ $\sqrt{(10n)^3}$ [Since 2nd root is given as $\sqrt{}$ in radical form]

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3 years ago

1. There are 78 sophomores at a school. Each is required to take at least one year of either chemistry or physics, but they may

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We are given that there are a total of 78 students. If we set the following variables:

$\begin{gathered} C=\text{students only in chemestry} \\ P=\text{students only in physics} \\ PC=\text{students in physics and chemistry} \end{gathered}$

Then, the sum of all of these must be 78, that is:

$C+P+PC=78$

Since there are 15 in chemistry and physics and 47 in chemistry, we may replace that into the equation and we get:

$47+P+15=78$

Simplifying:

$62+P=78$

Now we solve for P by subtracting 62 on both sides:

$\begin{gathered} 62-62+P=78-62 \\ P=16 \end{gathered}$

Therefore, there are 16 students in physics

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1 year ago