Answer:
140
Step-by-step explanation:
Let the number be represented by x. You are given ...
(3/5)x = 42
Multiplying by 10/3 gives ...
(10/3)(3/5)x = (10/3)(42)
2x = 140 . . . . the value of twice the number
Distance between library and school = 0.9 miles
Distance between museum and school = 0.9*0.6 = 0.54 miles
Step 1) Draw a line from point F to point S. A rectangle forms (rectangle FSCW)
Step 2) Find the area of this rectangle. The area is 18 square units because it is 2 units high and 9 units across (9*2 = 18). You can count out the spaces or you can note how we go from x = -4 to x = 5 so subtracting the values gives -4-5 = -9 which has an absolute value of 9.
Step 3) Find the area of triangle FSN. The base is 9 units and the height is 6 units (count out the spaces or subtract y values). So the area is A = b*h/2 = 9*6/2 = 54/2 = 27
Step 4) Add up the area of the rectangle to the area of the triangle: 18+27 = 45
Final Answer: 45 square units
note: another way to find the answer is to find the area of rectangle WABC where point A is at (-4,4) and point B is at (5,4). Then subtract off the triangular areas of AFN and BNS
Answer:
the runners have gone 20.8 times around the globe all together
Step-by-step explanation:
At the Bostom Marathon, we have a total of
N = 20,000 runners
We know that each runner ran a distance of
d = 26 miles
Therefore, the total distance travelled by all runners combined is:

We know that the circumference of the Earth is

Here we want to find how many times around the globe would the marathon runners have gone. This can be found by calculating the following ratio:

And substituting the values, we find:

So, the runners have gone 20.8 times around the globe all together.
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