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guajiro [1.7K]
3 years ago
15

The time spent to travel a certain distance varies inversely as a car's speed. If it takes 5½ hours to travel a certain distance

at 60 miles per hour, how long will it take to travel the same distance at 50 miles per hour?
Select one:
a. 6.6 h
b. 6.9 h
c. 4.6 h
d. 4.2 h
Mathematics
1 answer:
Licemer1 [7]3 years ago
5 0

Answer:

6.6h

Step-by-step explanation:

  • So it takes 5.5 hours going at a speed of 60 miles per hour, multiply these two and we get a distance of 330 miles
  • Use this distance to find the time if speed is 50 miles per hour, so time is derived by dividing the distance by the speed
  • 330 miles divide by 50 miles per hour gives 6.6 hours
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to build the garden of your dreams you need 11 m^3 of coil containing 46% clay. you have two types of soil you can combine to ac
aivan3 [116]

Answer: 9m^3 of soil with 50% clay and 2m^3 of soil with 28% clay is required

Step-by-step explanation:

Let x represent the quantity of the soil containing 50% clay that you would use.

Let y represent the quantity of the soil containing 28% clay that you would use.

To build the garden of your dreams you need 11 m^3 of soil.

x + y = 11 - - - - - - - - -1

Since the soil must contain 46% clay, the total amount of clay required is 46/100 × 11 = 5.06 m^3.

you have two types of soil you can combine to achieve this: soil with 50% clay and soil with 28% clay. This means that the quantity of both soils required to achieve 5.06 m^3 will be

0.5x + 0.28y = 5.06 - - - - - - - -2

Substituting x = 11 - y into equation 1, it becomes

0.5(11 - y) + 0.28y = 5.06

5.5 - 0.5y + 0.28y = 5.06

- 0.5y + 0.28y = 5.06 - 5.5

- 0.22y = - 0.44

y = - 0.44/ -0.22 = 2

Substituting y = 2 into x = 11 - y, it becomes

x = 11 - 2 = 9

7 0
3 years ago
Help me out please and thanks
omeli [17]

Answer:

Step-by-step explanation:

If you are trying to <u>solve the system of equations</u> then its

(x,y)=(-1,2)

If you are trying to <u>rewrite the system of equations</u> then its

x+6y=11

x-2y=-5

3 0
3 years ago
Need an answer fast!!!
trapecia [35]

Answer:

The length of the line segment is of 5.9 units.

Step-by-step explanation:

Distance between two points:

Suppose that we have two points, (x_1,y_1) and (x_2,y_2). The distance between these two points is given by:

D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

How long is the line segment?

The distance between points P and Q. So

P(1,3), and Q(4,8).

D = \sqrt{(4-1)^2+(8-3)^2} = \sqrt{3^2 + 5^2} = \sqrt{34} = 5.9

The length of the line segment is of 5.9 units.

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Answer:

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Step-by-step explanation:

answer is b

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