Answer:
12 gallons
Step-by-step explanation:
Total gallons = 16 gallons
Total distance = 460 miles
Fuel efficiency in the highway = 30 miles per gallon
Fuel efficiency in the city = 25 miles per gallon
Let
h = gallons of gasoline were used on the highway.
460 = 30h + 25(16 - h)
460 = 30h + 400 - 25h
460 - 400 = 30h - 25h
60 = 5h
h = 60/5
h = 12 gallons
12 gallons of gasoline were used on the highway.
To get the answer, divide the receipts by 2 to get the total cost for adults and divide it again to get the total number of parents who attended
Cost for adults is $480.00
Number of adults is 240
Now, to get the children, subtract the total number of people by the number of adults.
620-240=380
Number of children is 380
Answer:
Speed = 8mph
Step-by-step explanation:
Speed of wind = 4mph
Let speed of Darrin with no wind be "x" mph
then resultant speed of Darrin, travelling in direction of wind = (x + 4) mph
Using a result, Time = Distance travelled / Net speed
Time taken by Darrin to travel 6miles in direction of wind = 6 / (x + 4)
When Darrin travel in opposite direction of wind, then its net speed = (x - 4)mph
Darrin travel 2 miles against the wind in 6/(x + 4) hr
then Distance = speed × time
2 = ( x- 4 ) × ( 6/x + 4)
2x + 8 = 6x - 24
4x = 32
x = 8 mph
Therefore speed of Darrin skateboard with no wind = 8mph
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Answer:
Step-by-step explanation:
<u>Given points:</u>
The perpendicular bisector passes through the midpoint.
<u>Finding the coordinates of the midpoint first:</u>
- x = (-2 + 6)/2 = 2, y = (-2 + 0)/2 = -1
<u>Next finding the slope of AB:</u>
- m = (0 - (-2))/(6 - (-2)) = 2/8 = 1/4
The perpendicular lines have negative-reciprocal slopes.
<u>The line will have a slope of -4 and pass through the point (2, -1)</u>
- y - (-1) = -4(x - 2)
- y + 1 = -4(x - 2) - point-slope form
- y = -4x + 7 - slope-intercept form
