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marin [14]
3 years ago
14

Sean's car used 8 gallons of gasoline to travel 340 miles. After a mechanic worked on the car, it used 7 gallons of gasoline to

travel 350 miles. If the price of gasoline was approximately $4.00 per gallon, how much less, to the nearest cent per mile, did it cost to the car after the mechanic worked on it?
Mathematics
1 answer:
Olin [163]3 years ago
4 0
7 gallons of gasoline=350 miles
1 gallon of gasoline=50 miles
0.02 gallons =1 mile
4.00×0.02=0.08 cents per mile
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Is this high school work?

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16 times 3/3 is greater than or less than or equal to 16
galina1969 [7]
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8 0
3 years ago
1 2/12 - 2/12 - 1/12=
aleksley [76]

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Illusion [34]

3a)

<h3>Answer: The sum of a+b+c+d is equal to 220</h3>

-------------

How I got this answer:

a+b+e = 180

c+d+f = 180

angles 'e' and 'f' are marked in the attached drawing below (see figure 1)

Add the two equations to get

(a+b+e)+(c+d+f) = 180+180

a+b+e+c+d+f = 180+180

a+b+e+c+d+f = 360

(a+b+c+d)+(e+f) = 360

(a+b+c+d)+(140) = 360 substutition (see below)

a+b+c+d = 360-140

a+b+c+d = 220

==========================================

3b)

The angles of the triangles add to 180 degrees each. The three angles e, f, and 40 add to 180 as well as they form a straight angle, so e+f+40 = 180 leading to e+f = 180-40 = 140. This will help us with the substitution rule I marked above

So the idea is you add up all the angles, and then take away the angles we don't want (e and f) so we end up with the sum of a+b+c+d

==========================================

4

<h3>Answer: 290</h3>

---------------------

Explanation:

Check out the attached image figure 2.

Angle DAE is given to be 30 degrees. Angle ADC is also equal to 30 because they are alternate interior angles.

Angle DCB is 40 degrees. The missing angle x of the triangle DCB is unknown for now, but we can solve for x

x+40+30 = 180

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x = 180-70

x = 110

Therefore the purple angle marked in that diagram is 180-x = 180-110 = 70

The reflex angle to the 70 degree angle is 360-70 = 290

which is the shaded angle we want to determine

5 0
3 years ago
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