Four out of every five vis visitors at an amusement park buy day passes what percent of the visitors buy day passes

Mathematics

1 answer:

Rzqust [24]2 years ago

5 0

I think the answer is 80 percent.

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Translate the word phrase into a variable expression.the quotient of a number and 3 is decreased by 1.

ahrayia [7]

You are dividing a number (x) by three and then subtracting 1 like this. (x/3)-1

4 0

3 years ago

A shoe store is having a sale. A pair of sandals has an original price of $42. They are on sale for 30% off the original price.

professor190 [17]

30% of 42 is 12.6$.
42-12.6 = 29.4$ is the price of the pair with discount applied.
Tax 7%
29.4 * 7% = 2.06
29.4$ + 2.06$ = 31.46 $ final price with discount and tax applied.

6 0

2 years ago

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A grid shows the positions of a subway stop and your house. The subway stop is located at (–9, 7) and your house is located at (

miv72 [106K]

For this case, the first thing you should do is use the distance between points formula.
We have then:
d = root ((x2-x1) ^ 2 + (y2-y1) ^ 2)
Substituting we have:
d = root ((9 - (- 9)) ^ 2 + (-2-7) ^ 2)
d = 20.1246118
Rounding off we have:
d = 20 units
Answer:
The distance, to the nearest unit, between your house and the subway stop is:
B. 20

8 0

2 years ago

A sphere of radius r is cut by a plane h units above the equator, where

Anika [276]

Consider the top half of a sphere centered at the origin with radius $r$ , which can be described by the equation

$z=\sqrt{r^2-x^2-y^2}$

and consider a plane

$z=h$

with $0$ . Call the region between the two surfaces $R$ . The volume of $R$ is given by the triple integral

$\displaystyle\iiint_R\mathrm dV=\int_{-\sqrt{r^2-h^2}}^{\sqrt{r^2-h^2}}\int_{-\sqrt{r^2-h^2-x^2}}^{\sqrt{r^2-h^2-x^2}}\int_h^{\sqrt{r^2-x^2-y^2}}\mathrm dz\,\mathrm dy\,\mathrm dx$

Converting to polar coordinates will help make this computation easier. Set

$\begin{cases}x=\rho\cos\theta\sin\varphi\\y=\rho\sin\theta\sin\varphi\\z=\rho\cos\var\phi\end{cases}\implies\mathrm dx\,\mathrm dy\,\mathrm dz=\rho^2\sin\varphi\,\mathrm d\rho\,\mathrm d\theta\,\mathrm d\varphi$

Now, the volume can be computed with the integral

$\displaystyle\iiint_R\mathrm dV=\int_0^{2\pi}\int_0^{\arctan\frac{\sqrt{r^2-h^2}}h}\int_{h\sec\varphi}^r\rho^2\sin\varphi\,\mathrm d\rho\,\mathrm d\varphi\,\mathrm d\theta$

You should get

$\dfrac{2\pi}3\left(r^3\arctan\dfrac{\sqrt{r^2-h^2}}h-\dfrac{h^3}2\left(\dfrac{r\sqrt{r^2-h^2}}{h^2}+\ln\dfrac{r+\sqrt{r^2-h^2}}h\right)\right)$

5 0

3 years ago

What is the sum of 4 2/4 + 7 4/5 ?

lilavasa [31]

12.3 or 12 3/10

4.5 + 7.8 = 12.3

or

4 10/20 + 7 16/20 = 11 26/20

11 26/20 can be simplified to 12 6/20 and further simplified to 12 3/10

7 0

2 years ago