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3 years ago

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A moving van charges a flat rate of $25 per day plus $0.12 per mile for every mile over 100 driven. If Millie’s bill was $29.46

how many miles to the nearest mile did she drive in all?

1 answer:

labwork [276]3 years ago

5 0

Around 137 miles.This is my answer.

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A candle in the shape of a circular cone has a base of radius r and a height of h that is the same length as the radius. which e

ladessa [460]

Answer:

$\frac{r(1-\sqrt{2})}{-3}$

Step-by-step explanation:

Volume of cone = $\frac{1}{3} \pi r^{2} h$

Since we are given that a circular cone has a base of radius r and a height of h that is the same length as the radius

= $\frac{1}{3} \pi r^{2} \times r$

= $\frac{1}{3} \pi r^{3}$

Surface area of cone including 1 base = $\pi r^{2} +\pi\times r \times \sqrt{r^2+h^2}$

Since r = h

So, area = $\pi r^{2} +\pi\times r \times \sqrt{r^2+r^2}$

= $\pi r^{2} +\pi\times r \times \sqrt{2r^2}$

= $\pi r^{2} +\pi\times r^2 \times \sqrt{2}$

Ratio of volume of cone to its surface area including base :

$\frac{\frac{1}{3} \pi r^{3}}{\pi r^{2} +\pi\times r^2 \times \sqrt{2}}$

$\frac{\frac{1}{3}r}{1+\sqrt{2}}$

$\frac{r}{3(1+\sqrt{2})}$

Rationalizing

$\frac{r}{3(1+\sqrt{2})} \times \frac{1-\sqrt{2}}{1-\sqrt{2}}$

$\frac{r(1-\sqrt{2})}{-3}$

Hence the ratio the ratio of the volume of the candle to its surface area(including the base) is $\frac{r(1-\sqrt{2})}{-3}$

8 0

3 years ago

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What will happen to the size of the population in the long run?

Irina-Kira [14]

I'm assuming there's a chart, but if there isn't,

The population will continue to increase and decrease, as the population will grow until it's reached its carrying capacity, and then decrease because there aren't enough resources, and then increase, then decrease, etc.

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3 years ago

Zoe had a board 5 1/4 feet long she cut off a piece now the board is 3 5/6 feet long how long was the piece she cut off

uysha [10]

Least common denominator is 24

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3 years ago

5x + qy, when x=8,y=11

Nataliya [291]

Answer:

40+11q

Step-by-step explanation:

5x+qy

5(8)+q(11)=40+11q

4 0

3 years ago

Digiron [165]

Answer:

69 yards

Step-by-step explanation:

Perimeter = 2(length + width)

300 = 2(81 + width)

150 = 81 + width

width = 69

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3 years ago

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