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lozanna [386]
4 years ago
6

During the World Series the host Citywide Hotel a occupancy Rose 21% over the prior busiest night if the busiest night had been

76% occupancy what was the new record
Mathematics
1 answer:
Natalka [10]4 years ago
4 0

Answer:

The new record was 91.96%.

Step-by-step explanation:

As per the given statement: During the World Series the host Citywide Hotel a occupancy Rose 21% over the prior busiest night if the busiest night had been 76% occupancy.

To find the new record of occupancy.

We will find the 21% of 76% and then added it to 76%.

\text{New record} = \text{old record} + \text{Increase in record}

New record = 76\% +(21\% \times 76\%)

New record = \frac{76}{100} +(\frac{21}{100}\times \frac{76}{100})

New record = 0.76 + (0.21 \times 0.76) = 0.76 + 0.159 = 09196

Convert this decimal number into percentage by just multiplying a number by 100 we get;

New record = 0.9196 \times 100 = 91.96\%

Therefore, the new record was 91.96%


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jeka94

Answer:

14.24 foot far is the mirror from the base of the statue.

Step-by-step explanation:

Proportion states that the two ratios or fractions are equal.

As per the statement:

See the diagram as shown below:

Height of a boy = 5.9 foot tall

Height of a statue = 12 foot.

Distance of a boy from the mirror  = 7 feet.

Let x be the distance of the mirror from the base of the statue.

then by definition of proportion we have;

\frac{\text{Height of a boy}}{\text{Distance of a boy from the mirror}}= \frac{\text{Height of a statues}}{\text{Distance of mirror from the base of the statue} }

Substitute the given values we have;

\frac{5.9}{7} =\frac{12}{x}

By cross multiply we have;

5.9x = 84

Divide both sides by 5.9 we have;

x = 14.24 ft

Therefore, 14.24 foot far is the mirror from the base of the statue.

5 0
3 years ago
!! AP CALCULUS AB !!<br> find the limit of [(secx*sinx) + (cscx*cosx)]/(3secx) as x approaches 3pi/2
uysha [10]

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\frac{\frac{\sin{x}}{\cos{x}}+\frac{\cos{x}}{\sin{x}}}{3\sec{x}} \implies \\ \frac{\sin^2{x}+\cos^2{x}}{\sin{x}\cos{x}}\frac{\cos{x}}{3}\implies \\\frac{1}{\sin{x}\cos{x}}*\frac{\cos{x}}{3}\implies \\ \frac{1}{3\sin{x}}

So,

\lim_{x \rightarrow \frac{3\pi}{2}}{f(x)=f(\frac{3\pi}{2})=\frac{1}{3\sin{\frac{3\pi}{2}}}=-\frac{1}{3}

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4 years ago
What is the slope of the line represented by the equation y =4\5x-3
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Answer:

4/5

Step-by-step explanation:

For lines represented by the equation "y = mx + b", m is the slope. In this case, m = 4/5

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Greg throws a snowball hitting Kyle 3 out of 5 throws. If Greg makes 60 throws, how many times does he hit Kyle?
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4 years ago
Solve by graphing. (If the system is inconsistent, enter INCONSISTENT. If the system is dependent, enter DEPENDENT.) 2x + y = −1
xxTIMURxx [149]

Answer:

The system is INCONSISTENT.

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Step-by-step explanation:

The given equations are:

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The terms (except for the constant term) are proportional. That means they represent parallel lines.

Hence, the answer.

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