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Verhältnisse
Mathematik
Middle School Math
Verhältnisse

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 Name _____________________________ Date ___________________
Verhältnisse
Ganze.
 1 It was recently estimated by the Extraterrestrial Alien Monitoring Agency, that unregistered extraterrestrials outnumber registered ones by about six-to-four. If there are a total of1,490extraterrestrials, about how many of them are registered?
 2 If the probability that a chicken will cross the road isein Drittel, then what is the ratio that the chicken will cross the road to the chicken will not cross the road? _______ to _______

Ganze.
 3 If the ratio of saturated to unsaturated fatty acids in a cell membrane is9to1, and there are a total of81billion fatty acid molecules, how many of them are saturated?
 4 In a certain desert environment there are a lot of small rodents. There also happen to be a lot of snakes that feed on the rodents. The ratio of rodents to rodent eating snakes is13to3. If there are3,600snakes in the area, how many rodents are there?

 Key #2
Ganze.
 5 In a specimen of granite from the nearby mountain the ratio of feldspar to quartz is4to2by mass. If the mountain consists of 7 x 108tons of granite, how much of it is feldspar. For this calculation you may assume that other minerals in the granite do not contribute significantly to its mass. Express your answer in scientific notation.
 6 Soils around the world vary in their organic matter content. Organic matter comes from living things or things that used to be alive. For example, in comparing a soil from Nebraska to one from Arizona, it would not be unusual for the Nebraska soil to have a greater amount of organic matter by a factor of5to2. If you had two such samples and the sample from Arizona contained6g of organic matter, how many grams of organic matter would there be in Nebraska soil of equal mass? Round your answer to the nearest hundredth.

Ganze.
 7 Alexis dropped rock 1 (mass =2.7kg) from a height of12meters. She then dropped rock 2 (mass =3.9kg) from the same height. What was the ratio of kinetic energies of the rocks (KErock1/KErock2) when they hit the ground? (note: the acceleration of gravity is 9.81 m/s2.)
 8 Justin calculated the mass of a toy car to be34.4grams. Alexander calculated the mass of the same car but made an error and obtained a mass that was greater than Justin's by a ratio of5to2. What was Alexander's calculation for the mass of the car?

Ganze.
 9 A sample of steel made at the Bigtown Steel Works, was analyzed and found to contain0.04% carbon (by mass). How many kilograms of this kind of steel could be made from1.7kg of carbon? Round your answer to the nearest hundredth if needed.
 10 In a mixture of CaCO3 and CaSO4the ratio of CaCO3to CaSO4molecules is7to3. If there are30billion molecules of CaSO4, how many total molecules are in the mixture?

 Key #2
Ganze.
 11 The ratio of indoor basketballs to outdoor basketballs at the Megalopolis recreation center is5:3. If the rec center has59basketballs, how many of them are indoor basketballs?
 12 The Bigtown football team outscored its opponents5:1last season. If their opponents scored99points, how many points did Bigtown score?

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