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2 years ago

John drove from house to work at an average speed of 30 mph, trip took 40 minutes. How far in meters is his house to work?

Mathematics

1 answer:

AysviL [449]2 years ago

5 0

Answer:

20 meters

Step-by-step explanation:

Firstly we need to know that distance = speed * time

In this particular question, we have the time and the speed, we are only told to find the distance.

Now as we can see, the units are not consistent. While the average speed is 30mph, the time is not in hours but minutes. So practically, we have to convert the time to hours.

Since there are 60 minutes in an hour, the number of hours in 40 minutes would be 40/60 = 2/3 hours.

Now we can proceed to find the distance. We simply multiply the average speed with the time.

Hence, that is 30 * 2/3 = 20 meters

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What is the value of x if the average of 10, 11, 12 and x is 9?

frosja888 [35]

Answer: The value of x is 3.

Step-by-step explanation:

Since we have given that

10,11, 12 and x

Average of above numbers = 9

As we know that

Average is given by

$\dfrac{\text{Sum of observation}}{\text{Number of observation}}\\\\\\\dfrac{10+11+12+x}{4}=9\\\\10+11+12+x=9\times 4\\\\33+x=36\\\\x=36-33\\\\x=3$

Hence, the value of x is 3.

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3 years ago

A video game company is designing a game based on professional race cars. Professional race cars have a length of 570 cm and a w

siniylev [52]

Answer:

A) 1/45

B) 1/60

Step-by-step explanation:

The actual car has a length to width ratio of ...

length/width = (570 cm)/(180 cm) = 57/18 = 3 1/6

The rectangle on the screen has a length to width ratio of ...

length/width = (13 cm)/(4 cm) = 3 1/4

Relative to its width, the screen rectangle is longer than necessary for a model of the car. So, the scale factor will be determined by the width of the car relative to the width of the screen model.

For a model width of 4 cm, the scale factor is ...

model/life-size = (4 cm)/(180 cm) = 1/45

For a model width of 3 cm, the scale factor is ...

model/life-size = (3 cm)/(180 cm) = 1/60

7 0

2 years ago

Two opposite sides of the square are increased by 8 inches and the other two sides are decreased by 5 inches. the area of the ne

Iteru [2.4K]

Answer:

The length of a side of the square would be 8.

Step-by-step explanation:

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2 years ago

Which of the diagrams below represents the statement, "If it is not an apple, then it is not fruit"?

kherson [118]

I'm pretty sure it is figure A

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3 years ago

Read 2 more answers

Pls really need help asapppp

Anit [1.1K]

Answer:

105 sq cm

Step-by-step explanation:

The bottom rectangle is 6 x 15 = 90 sq cm

The triangle at the top has a length of 15 - 9 = 6 cm and a height of 11 - 6 = 5 cm.

A triangle is 1/2bh so 1/2 x 6 x 5 = 15 sq cm

Add the areas together

8 0

2 years ago