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3 years ago

There was one half of a pizza left. It was divided equally amongst 3 kids. What fraction of the pizza did each kid get?

Mathematics

1 answer:

alukav5142 [94]3 years ago

6 0

Answer:

one-sixth

multiply the numerator (2) by the number of kids (3) because you are accounting for the fraction of the whole pizza. By doing this you should get 3/6. divide the denominator by the number of kids (3/3) getting you to a value of 1, and replace the denominator, making the amount of pizza one-sixth.

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Some hot dogs come in packages of 8. Why would a baker of hot dogs buns package 7 hot dog buns to a package?

Solnce55 [7]

It would either be that they Miss-counted the hot dog buns that they put into each pack or that they put 7 buns on purpose

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3 years ago

Read 2 more answers

Six yards of rope costs $5.50 while four yards costs $4.75

Amiraneli [1.4K]

The best option is the first one (Six yards of rope costs $5.50). It is the lowest unit cost.

Step-by-step explanation:

For the given question case, first we should compare the unit costs of the choices provided and evaluate the best option.

Choice 1:

Six yards of rope costs $ 5.50

$\frac{5.50 \text { dollar}}{6 \text { yard }}=0.9167\ dollar/yard$

Choice 2:

Four yards costs $ 4.75

$\frac{4.75 \text { dollar}}{4 \text { yard }}=1.1875\ dollar/yard$

Thus, the best choice is the first one. Because it is the lowest unit cost.

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3 years ago

The corner convenience store sells candy bars at 4 for $2.91. At the price, how much would the store charge for 3 candy bars?

den301095 [7]

Answer:

$2.1825 or simplified is $2.18.

Step-by-step explanation:

0.7275 per candy bars.

0.7275 x 4 = $2.91.

So according to that logic,

0.7275 x 3 = $2.1825.

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3 years ago

A solid is formed by adjoining two hemispheres to the ends of a right circular cylinder. An industrial tank of this shape must h

mestny [16]

Answer:

Radius =6.518 feet

Height = 26.074 feet

Step-by-step explanation:

The Volume of the Solid formed = Volume of the two Hemisphere + Volume of the Cylinder

Volume of a Hemisphere $=\frac{2}{3}\pi r^3$

Volume of a Cylinder $=\pi r^2 h$

Therefore:

The Volume of the Solid formed

$=2(\frac{2}{3}\pi r^3)+\pi r^2 h\\\frac{4}{3}\pi r^3+\pi r^2 h=4640\\\pi r^2(\frac{4r}{3}+ h)=4640\\\frac{4r}{3}+ h =\frac{4640}{\pi r^2} \\h=\frac{4640}{\pi r^2}-\frac{4r}{3}$

Area of the Hemisphere = $2\pi r^2$

Curved Surface Area of the Cylinder = $2\pi rh$

Total Surface Area=

$2\pi r^2+2\pi r^2+2\pi rh\\=4\pi r^2+2\pi rh$

Cost of the Hemispherical Ends = 2 X Cost of the surface area of the sides.

Therefore total Cost, C

$=2(4\pi r^2)+2\pi rh\\C=8\pi r^2+2\pi rh$

Recall: $h=\frac{4640}{\pi r^2}-\frac{4r}{3}$

Therefore:

$C=8\pi r^2+2\pi r(\frac{4640}{\pi r^2}-\frac{4r}{3})\\C=8\pi r^2+\frac{9280}{r}-\frac{8\pi r^2}{3}\\C=\frac{9280}{r}+\frac{24\pi r^2-8\pi r^2}{3}\\C=\frac{9280}{r}+\frac{16\pi r^2}{3}\\C=\frac{27840+16\pi r^3}{3r}$