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4 years ago

A hotel has 1200 rooms. 92% are booked. How many rooms are booked.

Mathematics

1 answer:

seraphim [82]4 years ago

6 0

Answer: 1104 Rooms Are Booked

Step-by-step explanation:

1. You change 92% to 0.92

2. You multiply 1200*0.92 to find the number of rooms

3. Your answer will end up being 1104

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Reggie wants to save $86.10. He plans to save $10.25 each month.

Allushta [10]

Answer:

86.10/10.25= 8.4

The answer is the 4th one

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

??????????????????????????????

Greeley [361]

$\large\displaystyle\text{$\begin{gathered}\sf \frac{2x-20}{3}=2x \end{gathered}$}$

Multiply both sides of the equation by 3.

$\large\displaystyle\text{$\begin{gathered}\sf 2x-20=6x \end{gathered}$}$

Subtract 6x on both sides.

$\large\displaystyle\text{$\begin{gathered}\sf 2x-20-6x=0 \end{gathered}$}$

Combine 2x and −6x to get −4x.

$\large\displaystyle\text{$\begin{gathered}\sf -4x-20=0 \end{gathered}$}$

Add 20 to both sides. Any value plus zero results in its same value.

$\large\displaystyle\text{$\begin{gathered}\sf -4x=20 \end{gathered}$}$

Divide both sides by −4.

$\large\displaystyle\text{$\begin{gathered}\sf x=\frac{20}{-4} \end{gathered}$}$

Divide 20 by −4 to get −5.

$\large\displaystyle\text{$\begin{gathered}\sf x=-5 \ \ \to \ \ \ Answer \end{gathered}$}$

<h2>{ Pisces04 }</h2>

5 0

2 years ago

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At WMS, 3 out of 4 students ride a bus to school. There are 600 students at WMS. How many students ride the bus?

KengaRu [80]

Answer:

450 students

Step-by-step explanation:

4 0

3 years ago

Which of the following is the equation of a line parallel to the line y=3x+2, passing through the point (10,1)?

Ratling [72]

I think it's A. One way you can identify if they are parallel is if both of the slopes are the same (also both have to have the same signs).

6 0

4 years ago

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Find cos θ given that cos 2θ = 5/6 and 0 ≤ θ < π/2. Give an exact answer

trasher [3.6K]

$\bf \textit{Double Angle Identities}
\\ \quad \\
sin(2\theta)=2sin(\theta)cos(\theta)
\\ \quad \\
cos(2\theta)=
\begin{cases}
cos^2(\theta)-sin^2(\theta)\\
1-2sin^2(\theta)\\
\boxed{2cos^2(\theta)-1}
\end{cases}
\\ \quad \\
tan(2\theta)=\cfrac{2tan(\theta)}{1-tan^2(\theta)}\\\\
-------------------------------\\\\
$

$\bf cos(2\theta)=\cfrac{5}{6}\implies 2cos^2(\theta)-1=\cfrac{5}{6}\implies 2cos^2(\theta)=\cfrac{5}{6}+1
\\\\\\
2cos^2(\theta)=\cfrac{11}{6}\implies cos^2(\theta)=\cfrac{11}{12}\implies cos(\theta)=\pm\sqrt{\cfrac{11}{12}}$

now, bear in mind, the square root gives us +/- versions, so, which is it? well, we know the angle is in the range of "<span>0 ≤ θ < π/2", that simply means the 1st quadrant, so, we'll use the positive one then

</span> $\bf cos(\theta)=\cfrac{\sqrt{11}}{\sqrt{12}}\implies cos(\theta)=\cfrac{\sqrt{11}}{2\sqrt{3}}
\\\\\\
\textit{now, let's rationalize the denominator}
\\\\\\
\cfrac{\sqrt{11}}{2\sqrt{3}}\cdot \cfrac{\sqrt{3}}{\sqrt{3}}\implies \cfrac{\sqrt{11}\cdot \sqrt{3}}{2\sqrt{3^2}}\implies \cfrac{\sqrt{11\cdot 33}}{2\cdot 3}\implies \boxed{\cfrac{\sqrt{33}}{6}}$ <span>
</span>

3 0

4 years ago