Answer:
3
Step-by-step explanation:
The scale factor multiplies each coordinate value. If the scale factor is k, then we have ...
D' = kD
(36, -12) = k(12, -4) = (12k, -4k)
k = 36/12 = -12/-4 = 3
The scale factor of the dilation is 3.
Step-by-step explanation:
Answer:
She returned 5 gifts.
Step-by-step explanation:
36 gifts is 60% = 0.6 of all the gifts that she received. How many presents are 100% = 1?
36 gifts - 0.6
x gifts - 1
0.6x = 36
x = 36/0.6
x = 60
She received 60 gifts.
She opened the rest of the gifts and found that 25% of them were the same present
The rest is 60 - 36 = 24 gifts.
25% is (1/4)*24 = 6 duplicate figts
She returned all but one of the duplicate gifts.
That is, she returned 6 - 1 = 5 gifts.
(1x+2y+3z)/(x+y+z)=1.5
x+2y+3z=1.5x+1.5y+1.5z
0.5y+1.5z=0.5x
x=y+3z