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3 years ago

A pond at a hotel holds 4,290 gallons of water.

Mathematics

1 answer:

Kisachek [45]3 years ago

5 0

Answer:

55 hours

Step-by-step explanation:

Write the problem as an equation.

4290-78x=0

Where 'x' is each hour the pond is being drained.

Then, solve.

4290=78x Add 78x to each side of the equation

55=x Divide both sides by 78

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Two cakes were cut into 8 slices iate 1/8 of the carrot cake . Iate 1/2 of the carrot cake .Me ate 1 slice of each. I ate three

FromTheMoon [43]

Answer:

There are 6 slices left.

Step-by-step explanation:

The remaining slices are:

Carrot Cake

$x = \left(\frac{8}{8} -\frac{1}{8} -\frac{4}{8} -\frac{1}{8} \right)\cdot 8$

$x = 2$

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$y = \left(\frac{8}{8} - \frac{1}{8} - \frac{3}{8} \right)\cdot 8$

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2 years ago

What is the factor of 16

insens350 [35]

1x16
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3 years ago

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Can someone solve this?

ladessa [460]

First question:

Recall that $\cos^2x+\sin^2x=1$ and $\sqrt{x^2}=|x|$ for all $x$ . So

$\sqrt{1-\cos^2x}=\sqrt{\sin^2x}=|\sin x|$

$\sqrt{1-\sin^2x}=\sqrt{\cos^2x}=|\cos x|$

For $0$ , we expect both $\cos x>0$ and $\sin x>0$ (i.e. the sine and cosine of any angle that lies in the first quadrant must be positive). By definition of absolute value, $|x|=x$ if $x>0$ .

So we have

$\dfrac{\sqrt{1-\cos^2x}}{\sin x}+\dfrac{\sqrt{1-\sin^2x}}{\cos x}=\dfrac{\sin x}{\sin x}+\dfrac{\cos x}{\cos x}=1+1=\boxed{2}$

making H the answer.

Second question:

C is always true, because the inequality reduces to x > y.

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3 years ago

Total number of faculty is 136. There are 6 professors to every 11 lecturers. How many professors are there

laila [671]

Answer:

The Total number of Professors = 48

Step-by-step explanation:

Given as,

The total number of Faculty = 136

And the Ratio of Professors to Lecturers = 6 Ratio 11

Now According to question

Professors : Lecturers = 6 : 11

So, Let the Number of Professors = 6x

And The Number of Lecturers = 11x

∴ 6x + 11x = 136

Or, 17x = 136

Or, x = $\frac{136}{17}$ = 8

Hence, the number of Professors = 6 × 8 = 48 Answer

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3 years ago

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