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Lina20 [59]
2 years ago
12

every day amy travels 30 miles one-way to work. The park-and-ride where she catches the train is 5 miles from her home. The aver

age speed of the train is 15 mph faster than the average speed in her car. assuming she has no wait time for the train, her one-way trip takes 45 minutes. Find the speed of the car.
Mathematics
1 answer:
Alenkasestr [34]2 years ago
3 0

Answer:

Speed= 0.6666667 miles per hour

Step-by-step explanation:

You can find the average speed of an object if you know the distance traveled and the time it took. The formula for speed is speed = distance ÷ time. To work out what the units are for speed, you need to know the units for distance and time.

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Sam colors each tile in a 4 by 4 grid white or black. A coloring is called rotationally
DiKsa [7]

Answer:

  65,280

Step-by-step explanation:

Consider the 4×4 grid ...

  \left[\begin{array}{cc}a&b\\d&c\end{array}\right]

where each of a, b, c, d is a 2×2 array of tiles. Let's use the notation a' to represent the 2×2 array "a" rotated right 1/4 turn. For 90° rotational symmetry, we must have b=a', c=b'=a'', d=c'=b''=a'''. That is, once "a" is determined, the rest of the grid is determined. Since "a" consists of 4 tiles, each of which can be black or white, there are 2^4 = 16 patterns that have 90° rotational symmetry.

The same will be true of 270° rotational symmetry, for the same reason.

__

For 180° rotational symmetry, we must have c=a'' and d=b''. Then the combination of "a" and "b" together fully determines the grid. Together, "a" and "b" consist of 8 tiles, so there are 2^8 = 256 ways to pattern the grid so it will have 180° rotational symmetry. (Of those, 16 have 90° symmetry, and 16 have 270° symmetry. The sets are overlapping.)

__

The 16 tiles of the grid can be colored 2^16 = 65,536 different ways. As we have seen, 256 of those colorings result in 180° rotational symmetry. Then the number of colorings that have no rotational symmetry is ...

  65,536 -256 = 65,280 . . . . colorings not rotationally symmetric

8 0
3 years ago
Write an algebraic expression for the statement.The income earned at $ 10.91 per hour for w hours....
Alja [10]
This is a "rate of pay" problem.  The amount earned is equal to the (rate of pay) times the (number of hours worked).  

Let the income be represented by "i".  Then the formula is i = ($10.91/hour)*w, where w is the number of hours worked and has the unit of measurement "hours."
5 0
3 years ago
Work out and simplify where possible <br><br> a) 2/5+1/3<br><br> b) 5/9-1/2
Vlad1618 [11]
The answer is
a) 11/15
b) 1/18
5 0
3 years ago
B) A monthly service fee to download e-books is $4.95, plus $3.99 per book downloaded. Write an
pickupchik [31]

Answer:

$4.95 + $3.99b = c

I can't make a graph but start at 4.95 on the graph and move up 3.99 every time you go to the right once

7 0
3 years ago
All of the following are terminating decimals except
aalyn [17]
__
4/9= 0.444 ==> never ending, repeating
1/5= 0.2 =====> terminating
19/50= 0.38 => terminating
5/8= 0.625 ==> terminating

All of the above are terminating decimals except for 4/9!!

Memes (for stupidity) :
Everyone is entitled to be stupid,
But you abuse the privilege

You find it offensive,
I find it funny...

That's why I'm happier than you!
7 0
3 years ago
Read 2 more answers
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