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o-na [289]
3 years ago
6

You are running a fuel economy study. One of the cars you find is red. It can travel 24 4/5 miles on 4/5 gallon of gasoline. Wha

t is the unit rate for miles per gallon for the red car?
Mathematics
1 answer:
Lilit [14]3 years ago
3 0

Answer:

1) 28.4 miles per gallon

2) 34 miles per gallon

3) the red car

Step-by-step explanation:

Blue car:

Travels 35 1/2 miles on 1 1/4 gallons of gasoline

Red car:

Travels 27 1/5 miles on 4/5 gallons of gasoline

We want to know the unit rate for miles per hour, and to do it we have to divide the miles they travel by the gallons each car uses:

Blue car:

(35 1/2) / (1 1/4) = 28.4 miles per gallon

Red car:

(27 1/5) / (4/5) = 34 miles per gallon

The red car travels greater distance with 1 gallon of gasoline {and thats about it!}

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Robert wants to put lights around the edge of his deck. The deck is 40 feet long and 32 feet wide.
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4 0
3 years ago
The minute hand of a clock 7 inches long to the nearest 10th of an inch how far does the tip of the minute and trouble as time p
RSB [31]

Answer:

The answer to the question is;

The distance the tip of the minute and travels as time progresses from 12:00 to 12:25 is 18.33 in.

Step-by-step explanation:

To solve the question, we note that

Number of minutes in one complete revolution of the clock = 60

Position travel of the minute hand = 12:00 to 12:25 = 25 minutes

Fraction of complete revolution traveled by minute hand = 25/60

Distance of one complete revolution = Circumference of circle = 2·π·r

Length of minute hand = 7 inches = r

Distance of one complete revolution = 2 × π × 7 = 43.98 in

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7 0
3 years ago
The length of rectangular sign is 12 less than twice the width. Its perimeter is 114 ft. Find the length and the width of the si
Ymorist [56]

We have two relations between length and width. One is given in the problem statement. The other is given by the formula for perimeter. We can solve the two equations in two unknowns using substitution.

Let w and l represent the width and length of the sign in feet, respectively.

... l = 2w -12 . . . . . the length is 12 ft less than twice the width

... p = 2(l +w) = 114 . . . . the perimeter is 114 ft

Using the first equation for l, we can substitute for l in the second equation.

... 114 = 2((2w -12) +w)

... 114 = 6w -24 . . . . . . . . simpify

... 138 = 6w . . . . . . . . . . . add 24

... 23 = w . . . . . . . . . . . . . divide by 6

... l = 2w -12 = 2·23 -12 = 34 . . . . use the equation for l to find l

The length and width of the sign are 34 ft and 23 ft, respectively.

7 0
3 years ago
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