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3 years ago

Dana is planning to drive 400 miles from

Mathematics

1 answer:

GaryK [48]3 years ago

5 0

Answer:

A. 8 gallons

B. Drive by car is $59.4 cheaper than travel by train

Step-by-step explanation:

According to the scenario, given data are as follows,

Total drive = 400 miles

Total drive per gallon = 50 miles

Fuel cost per gallon = $4.45

A. So, Total fuel required to drive 400 miles can be calculated as follows,

Total fuel required = Total drive ÷ Total drive per gallon

By putting value, we get,

Total fuel required = 400 ÷ 50

= 8 gallons

B. Total cost if drive by car = 8 gallons × $4.45 = $35.6

Cost if travel by train = $95

Hence it is clearly shows that drive by car is much cheaper than travel by train.

Cost saved by travel by car = $95 - $35.6 = $59.4

So, drive by car is $59.4 cheaper than travel by train.

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4 years ago

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Answer:

Mid-point: $(0,-5)$

Equation: $y=\frac{7}{3}x-5$

Step-by-step explanation:

To find the mid-point of AB, simply add up their x and y coordinates and divide by 2 respectively to find their middle point.

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To find the perpendicular slope that passes through the mid-point, we need to know the slope between AB first.

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Multiplying slopes that are perpendicular with each other always results in -1.

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By the point slope form:

$({y}-{y__1})=m({x}-{x__1})$

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