Mathematics, 27.10.2020 14:00 edenszigethyow8ajk

You are running a fuel economy study. One of the cars you find is blue. It can travel 29 1/2 on 1 1/4 of gasoline. Another car is red. It can travel 22 2/5 on 4/5 of gasoline. What is the unit rate for miles per gallon for each car? Which car could travel the greater distance on 1 gallon of gasoline?

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The unit rate of blue is 35.6 miles and the unit rate of the red car is 36 miles. The red car could travel a greater distance on 1 gallon of gasoline.

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jencylu

09/05/2018

Mathematics

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You are running a fuel economy study. One of the cars you find is blue. It can travel 44 and one half miles on 1 and one fourth gallons of gasoline. Another car is red. It can travel 28 and four fifths miles on four fifths gallon of gasoline. What is the unit rate for miles per gallon for each car? Which car could travel the greater distance on 1 gallon of gasoline?

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Unit rate of blue car is 35.6 miles/gallon and unit rate of red car is 36 miles/gallon. The red car could travel the greater distance on 1 gallon of gasoline.

Explanation

Unit rate for each car can be calculated using the below formula...

Unit rate = (Distance traveled) / (Amount of gasoline)

For Blue car, distance traveled and amount of gasoline

So, the unit rate for blue car = ÷ = × = miles/gallon

Now for Red car, distance traveled and amount of gasoline

So, the unit rate for red car = ÷ = × = miles/gallon

As the unit rate for red car is greater than the blue car, that means the Red car could travel the greater distance on 1 gallon of gasoline.

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Answer from: Quest

answer4 to the second power is 16

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Answer: question no. 1 -a. yes, the sides are in the ratio 2 : 5.question no. 2 -b. 59°question no. 3 -c. angles x and y are remote interior angles.question no. 4 -d. 90°, 45° and 45°question no. 5 -b. mn and qrstep-by-step explanation: question no. 1 -rs : xu = 3 : 7.5 = 2 : 5rt : x? = 6.4 : 16 = 2 : 5st : u? = 6 : 15 = 2 : 5as the ratios of all sides are equivalent, the triangles must be congruent and the sides must be proportional.therefore, the answer is: a. yes, the sides are in the ratio 2 : 5.question no. 2 -in the second diagram, angle b is the only letter not shown. therefore, the number must be equivalent to angle b.if we substitute the value of angle b as being 22° in the first diagram, we can now use the angle sum of a triangle to obtain the value of angle a.angle sum of a triangle = 180°therefore: let angle a = aa + 99 + 22 = 180a = 180 - 99 - 22a = 59°therefore, the answer is: b. 59°question no. 3 -angles x and y don't share the vertex of the triangle with the exterior angle w. remote interior angles don't share a vertex of a triangle with an exterior angle. this means that angles x and y are remote interior angles.therefore, the answer is: c. angles x and y are remote interior angles.question no. 4 -the sum of all interior angles of a triangle must be equivalent to 180°.90°, 45° and 45° are the only set of angle measures that are equivalent to 180°.therefore, the answer is: d. 90°, 45° and 45°question no. 5 -the only pair of sides stated in the options which are corresponding are mn and qr.therefore, the answer is: b. mn and qr.