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Mathematics

1 answer:

Vladimir [108]3 years ago

3 0

Answer:

m=47

Step-by-step explanation:

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If you can buy 1⁄2 of a gallon of milk for 3 dollars, how many gallons can you buy for 5 dollars? Write your answer as a fractio

Paladinen [302]

If half a gallon of milk is 3 dollars then you should be able to buy one gallon for 6 dollars. Therefore 5 dollars can buy 5/6 gallons of milk.

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3 years ago

Volume and surface area are often compared by manufacturers in order to maximize how much of something can go inside of a packag

notka56 [123]

We have no dimensions to work with. I'll pick some and try and comply with the conditions of the problem.

Suppose you have an object that is 14 by 22 by 27 cm. These three numbers have no common factor so they cannot be reduced any further, which is helpful for this problem.

Find the Volume
Volume

l = 27 cm
w = 14 cm
h = 22 cm

V = 27 *14 * 22
V = 8316 cm^3

Find the surface area
SA = 2*l*w + 2*l*h + 2*w*h
SA = 2*27*14 + 2*27*22 + 2*14*22
SA = 756 + 1188 + 616
SA = 2558

Just looking at these numbers The surface area is about 1/3 of the volume. I don't think this is always true.

$\frac{SA}{V} = \frac{2*L*W + 2*L*H + 2*W*H}{L*W*H}$

Another way to do this is to consider a cube which might give you a more useful result.

s = L = W = H all three dimensions are equal in a cube.
The volume of a cube is s*s*s = s^3
The surface area of a cube is 2*s*s + 2*s*s + 2s*s = 6s^2

$\frac{SA_cube}{V_cube} = \frac{6s*s}{s*s*s}$
$\frac{SA}{V} = \frac{6}{s}$

That means whatever the side length, the Surface Area to volume = 6/the side length which is kind of an interesting result.

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3 years ago

Diane's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Diane

Shalnov [3]

4.05x+5.25(149-x)=710.25
Solve for x
X=60 ........4.05

149-60=89.....5.25

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4 years ago

The probability of an adverse reaction to the flu shot is 0.15. Let r be the number of people stuffering a reaction from a flu s

shtirl [24]

Stuffering?
what are you asking???

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