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Crazy boy [7]
2 years ago
6

Juan earns a weekly salary of $310 plus a 5.5% Commission on sales at a local hardware store. How much would he earn in a week i

f he sold $5,100 worth of merchandise?
Mathematics
1 answer:
timofeeve [1]2 years ago
8 0

Answer:

$590.50

Step-by-step explanation:

Juan earns $310 every week.

He earns 5.5% on merchandise sold.

On a week he sells $5100, we need to figure 5.5% of that amount and then add $310.


$5100

X  .055

______

$280.50 commission.

+ 310.00 salary for the week

_______

$590.50

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1 Point
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Option C

The ratio for the volumes of two similar cylinders is 8 : 27

<h3><u>Solution:</u></h3>

Let there are two cylinder of heights "h" and "H"

Also radius to be "r" and "R"

\text { Volume of a cylinder }=\pi r^{2} h

Where π = 3.14 , r is the radius and h is the height

Now the ratio of their heights and radii is 2:3 .i.e  

\frac{\mathrm{r}}{R}=\frac{\mathrm{h}}{H}=\frac{2}{3}

<em><u>Ratio for the volumes of two cylinders</u></em>

\frac{\text {Volume of cylinder } 1}{\text {Volume of cylinder } 2}=\frac{\pi r^{2} h}{\pi R^{2} H}

Cancelling the common terms, we get

\frac{\text {Volume of cylinder } 1}{\text {Volume of cylinder } 2}=\left(\frac{\mathrm{r}}{R}\right)^{2} \times\left(\frac{\mathrm{h}}{\mathrm{H}}\right)

Substituting we get,

\frac{\text {Volume of cylinder } 1}{\text {Volume of cylinder } 2}=\left(\frac{2}{3}\right)^{2} \times\left(\frac{2}{3}\right)

\frac{\text {Volume of cylinder } 1}{\text {Volume of cylinder } 2}=\frac{2 \times 2 \times 2}{3 \times 3 \times 3}

\frac{\text {Volume of cylinder } 1}{\text {Volume of cylinder } 2}=\frac{8}{27}

Hence, the ratio of volume of two cylinders is 8 : 27

7 0
2 years ago
The Great Pyramid has a height (h) of about 480 ft, a slant height (l) of about 560 ft and a square base of 756 ft. What is the
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Answer: 91,445,760 ft³

Step-by-step explanation:

You know that the base of this pyramid is a square, then you can use the following formula to calculate its volume:

V=\frac{s^2h}{3}

Where "s" is the lenght of any side of the base of the pyramid and "h" is the height of the pyramid.

You know that:

h=480ft\\s=756ft

Then, you can substitute these values into the formula. So, you get that the volume of The Great Pyramid is:

V=\frac{(756ft)^2(480ft)}{3}=91,445,760ft^3

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emmasim [6.3K]

Answer: 6x - 3 over x^3

Step-by-step explanation:

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faust18 [17]
The answer is 8 gram/cm^3
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