<u>Answer:
</u>
If a rug was 5 times as long as this record sheet. The length of this record sheet in centimeters is 100x centimeter
<u>Solution:
</u>
Given that a rug was 5 times than the record sheet.
Let assume the length of the record sheet = x units
Then from given information,
Length of the rug = 5x units
Conversion of measure of record sheet in centimeter completely depends upon in which unit the length is given.
Suppose the given length is in meters, than need to multiply the given length by 100 to get the length in centimeter that is
x meter = 
= 100x cm
Conversion factor will change accordingly to the unit of given length which needs to be convert into centimeter.
Answer:
( 2,1) is the center of dilation and -2 is the scale factor
Step-by-step explanation:
We can use the formula
A' = k( x-a) +a, k( y-b)+b where ( a,b) is the center of dilation and k is the scale factor
(0,0) becomes (6,3)
( 6,3) = k( 0-a) +a, k( 0-b)+b
6 = -ka+a
3 = -kb+b
We also have
(4,0) becomes (-2,3)
( -2,3) = k( 4-a) +a, k( 0-b)+b
-2 =4k -ka+a
3 = -kb+b
Using these two equations
6 = -ka+a
-2 =4k -ka+a
Subtracting the top from the bottom
-2 =4k -ka+a
-6 = ka -a
-------------------
-8 = 4k
Divide by 4
-8/4 = 4k/4
-2 = k
Now solving for a
6 = -ka +a
6 = - (-2)a +a
6 = 2a+a
6 = 3a
Divide by 3
6/3 =3a/3
2=a
Now finding b
3 = -kb+b
3 = -(-2)b+b
3 = 2b+b
3 = 3b
b=1
Answer:
x= 12
Step-by-step explanation:
Answer:
idk a or c
Step-by-step explanation:
Answer:
125
Step-by-step explanation:
The total number of marbles is 6+10 = 16
P (black) = black / total
= 10/16 = 5/8
With 200 draws, take the probability of P(black) times 200 since the marble is returned each time
200 * (5/8) = 125
We would expect to get 125 black marbles
