Math Help

Question: How can i solve these 2 math word problems?

1. it takes Nana 12 days to type her thesis. a professional typist could type it in 8 days. How long would it take to type the thesis if both worked together?

Answer: 1) if Nana needs 12 days, that would mean that she finishes 1/12 of the paper in 1 day, similarly it would mean that the pro finishes 1/8. use this formula: 1= x (1/12 + 1/8) and solve for x.

the formula means, to finish the whole paper, it would take x days for nana (1/12) and the pro (1/8) working together.

you will get 4.8 days.

2) set the speed one one car x, the speed of the other car would be x+30.

use the formula D = RxT, you will get 1 equation for each car.

car 1: 200 = x *T

car 2: 320 = (x+30) *T

T is the same for both cars, so solve for T for each equation and set the T’s equal to each other.

you will get the equation 200/x = 320/(x+30), cross multiply you would get 200(x+30) = 320 x

solve for x, you will get x= 50

so car 1 = 50 mph, car 2 = 80 mph

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Question: Quick math help? ?

How do you graph absolute value functions off of a graph? Like, let’s use the coordinates (2, -5) just as an example. I also need to know how to do the same with a quadratic function (let’s use the same coordinates) and with a cubic function (same coordinates).

Answer: Just make y positive and you’re done.

No sources because you can use common sense. If there’s a absolute values around f(x) = |whatever|, if the whatever is supposed to negative in the normal graph, then in the absolute value graph it’s the same distance from the x-axis except positive.

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Question: Need Math Help Metric Conversion & rates Help?

http://img13.imageshack.us/my.php?image=mathhelp20013.jpg

Answer: 1st question:
Mary needs 90 burgers, each 8 ounces.
1 pound is 16 ounces, so
eight ounces = 1/2 pound
(You know she will need 45 lbs. of meat for 90 1/2 lb. burgers.)

8(oz.) x 90(burgers) = 720 (oz.)
720 / 16 = 45
(divide oz by 16 to convert to lbs.)
(multiply lbs. x 16 to covert to oz)

2nd question:
1mile = 5,280 ft.
5,280 divided by 15 markers, (equally spaced)
5,280 / 15 = 352 ft. between each.

3rd ques.
Jim’s car = 66 miles per hour
since there’s 60 minutes in one hour find miles per minute by dividing by 60…
66 / 60 = 1.1 miles per minute
5,280 ft. per mile x 1.1 = 5808 ft. per minute
divide by 60 again to get feet per second
5808 / 60 = 96.8 feet per second
D=RT
Distance = rate x time
convert measurements to common denominator to calculate and convert to desired unit of measure by knowing the conversion factors.

4th ques.
one egg = 2 Tbs
1 pint = 32 Tbs
2.5 pints (x 32) = 80 Tbs
80 / 2 = 40 eggs

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