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UkoKoshka [18]
3 years ago
7

The Washington family is taking a family trip to Washington and has 429.5 mi left before they get to the hotel. If they are trav

eling at a rate of 33 miles per gallon and they have 13 gallons of fuel left should Mr. Washington stop for gas?
Mathematics
1 answer:
Semenov [28]3 years ago
6 0

Answer:

Yes He should stop for Gas

Step-by-step explanation:

Step one:

given data

total distance left=429.5miles

we want to find the amount of gallons the car will consume for 429.5 miles

we are told that for 33 miles traveled the car will consume 1 gallon of gas

                hence for 429.5 miles the car will consume x gallons

cross multiply we have

x=429.5/33

x=13.0gallons

This shows that the tank will be empty for a 429.5 miles.

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Point C(3.6, -0.4) divides in the ratio 3 : 2. If the coordinates of A are (-6, 5), the coordinates of point B are . If point D
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Given:
A has coordinates (-6,5)
C has coordinates (3.6,-0.4).
C divides AB in the ratio 3:2.

Refer to the diagram shown below.
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\frac{5-(-0.4)}{5-y} = \frac{3}{5} \\ 3(5-y) = 27 \\ 15-3y=27 \\ y= \frac{12}{-3} =-4

Answer:
The coordinates of B are (10,-4).

Now, we know the coordinates of line segment AB as A (-6, 5) and B (10,-4).
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Answer:
The coordinates of D are (1.11, 1)

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