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notsponge [240]
2 years ago
7

An airplane flew at an average rate of 600 miles per hour from Tokyo to Seattle. Because of a strong headwind, the average rate

of the return trip was only 480 mph. The round trip took 18 hours. Which equation can be used to determine the time for each leg? 600t = 480t 600t = 18 – t 600t = 480 – t 600t = 480(18 – t)
Mathematics
2 answers:
Dvinal [7]2 years ago
5 0

600t = 480(18 – t) should be it

larisa [96]2 years ago
3 0

Answer:

Option D. 600t = 480( 18-t )

Step-by-step explanation:

An airplane flew at an average rate of 600 miles per hour fro Tokyo to Seattle.

Let the airplane travels for t hours so distance covered by the airplane will be = speed × time

    = 600t miles

Similarly, average speed in return trip was 480 mile/hour. So distance covered in return trip = speed × time

= 480 ( 18-t ) [ since time taken by plane in round trip was 18. So time taken in return trip will be ( 18-t) ]

Therefore, distance traveled in one trip = distance covered in return trip

600t = 480( 18-t )

Option D is the answer.

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Kamila has a rectangular lawn that measures 80 by 150 feet. She wants to lay gravel made from colored rock in a border, 6 feet w
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Answer:

1)Diagram attached

2)8424

3)1404

4)1569

Step-by-step explanation:

1)

Diagram is attached

2)

How many square feet of the gravel will surround the lawn:

Converting yards into feet:

1 yard =3 feet

So 80 yard =80(3) feet

                   =240 feet

and 150 yard =150 (3) feet

                     =450 feet

Area of rectangle is given by :length X width

Area of the outer border = (6+ 240+ 6 ) (6+ 450+6)

                                         = 252 X 462

                                         = 116424

Area of the lawn = 240 X 450

                            = 108000

Area of gravel border = 116424 - 108000

                                    = 8424

Area of gravel border is 8424 ft^2

3)

Total volume when depth is 2 inches:

converting inches to feet:

1 inch=  0.083 feet

2 inches =0.1667 feet

volume = base area X depth

            =8424 X 0.1667

            = 1404

 total volume of gravel needed for the border is 1404 ft^3

4)

Given:

A large bag of colored rock contains 5/8 of a cubic yard and costs $30

total cost of the rocks needed for the border=?

1 cubic yard = $30

converting cubic yard to cubic feet

1 cubic yard=27 cubic feet

cost of 1 cubic yard= cost of 27 cubic feet = $ 30

cost of 1 cubic feet=30/27

cost of  1404 cubic feet= 1404 X 30 / 27

                                     = 1560

the total cost of the rocks needed for the border is $1560!

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