math problems.?

Question

first time, I was in San Francisco, temperature at 9:30 a.m was a cool 10 degrees celcius, what is its equivalent in fahrenheit?

An object has a speed of 10 m. Convert it to cm and mm.

An equation is made up entirely of 4 variables a, b, c and d. With respect to a, b is inversely proportional and c has an inverse power (2nd power) relationship. What is our equation?

Gilbert weighs his 10 action figures. 5 of them weighs 300gms., three weighs 100 grms., and 2 weighs 700 grms.. What is the total weight of all his action figures in kilograms?

A person sleeps at least 8 hours a day. Give the total in days of sleep for the entire month of December.

Answer 1

(1) 10 celsius = 50 farenheit

The formula is:

c = (5/9)(f - 32)
10 = (5/9)(f - 32)
10 * (9/5) = f - 32
18 = f - 32
50 = f

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(2) 1 meter = 100 cm = 1000 mm

"meters" isn't really a measure of "speed," for what it's worth; it's a measure of length.

10 m = 1,000 cm = 10,000 mm

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(3) d isn't mentioned at all, so I'm not sure you can create a single equation.

"b is inversely proportional with respect to a" means b = 1/a

"c has an inverse squared relationship (with respect to a" means c = 1/a^2, or maybe a = 1/c^2... that's not clear.

You could write something like:

a = d / (b * c^2)

... but it's not uniquely identified by the discussion. It could be d^2, or d+1, or anything else in the numerator.

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(4) 300 + 100 + 700 grams = 1,100 grams.

Since one kilogram = 1,000 grams, 1,100 grams is 1.1 kg.

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(5) 8 hours is 1/3 of a day, and there are 31 days in December, so that would be 31 * 1/3, or 10 + 1/3 days.