Answer:
x = 75
Step-by-step explanation:
We can write this as a proportion
27 45
--------- = --------
45 x
We can use cross products to solve
27 x = 45 *45
Divide each side by 27
27 x/27 = 45*45 /27
x = 75
There are 20! number of ways for everyone to do this so that at the end of the move, each seat is taken by exactly one person.
People are seated in a 2 by 10 rectangle grid. All 20 persons stand up from their seats and relocate to an orthogonally neighboring one upon the blowing of a whistle.
Now, we have to find the number of possible ways in which each seat is taken up by exactly one person after the move.
As the number of people is 20 and 20 seats are to filled exactly once.
So, the number of ways = 20!
Learn more about number here:
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If 3 = (b x 3)
C. 1
Substitute b for the answer choices so
9 x 3 = 27
6 x 3 = 18
1 x 3 = 3
0 x 3 = 0
Answer:
reggie made an error
the correct scale factor is 2/3
Step-by-step explanation:
we want to get from A to A', B to B', and ultimately C to C'
to get there, we must multiply each value in each point by the scale factor.
let's start out with reggie's scale factor. he multiplies each value in C by 3/2 to get to C'. we can try this out with one point, e.g. A
for A: 3/2 * (-12, -6) = (-18, -9). this is not A' = (-8, -4)! thus, 3/2 cannot be the scale factor
now, onto hillary's scale factor of 2/3
for A: 2/3 * (-12, -6) = (-8, -4). this is A'! thus, hillary is correct and reggie made an error
the correct scale factor is thus hillary's: 2/3
Answer:
3x
Step-by-step explanation:
