Answer:
y-2=1/3(x-3)
Step-by-step explanation:
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Answer:
7.5 quarts of soda
Step-by-step explanation:
Kindly refer to the attached image for explanations
Answer:
23 floors
Step-by-step explanation:
Subtract 7 from 30:
30 - 7
= 23
So, she traveled 23 floors.
Answer:
Step-by-step explanation:
d) (-2 +4i) -( 3 + 9i) = -2 + 4i - 3 - 9i
= -2 - 3 + 4i - 9i
= -5 - 5i
e)3i(6 - 5i) = 3i *6 - 5i * 3i
= 18i - 15*i² {i² = -1}
= 18i -15*(-1)
= 18i + 15
= 15 + 18i
f) (-3 + 7i)(1 - 2i) = (-3)*1 - 2i * (-3) + 7i *1 - 2i* 7i
= -3 + 6i + 7i - 14i²
= -3 + 6i + 7i - 14*(-1)
= -3 + 6i+ 7i + 14
= 11 + 13i
Answer:
12 5 dollar bills
20 50 dollar bills
Step-by-step explanation:
Let x = number of five dollar bills
Let y = number of fifty dollar bills
We have a total of 32 bills
x+y = 32
The total amount is 1060
5x+50y = 1060
We have 2 equations and 2 unknowns
x+y = 32
5x+50y = 1060
Multiply the first equation by -5 so we can eliminate x
-5x -5y = -5*32
-5x -5y =-160
Add this to the second equation
5x+50y = 1060
-5x -5y =-160
------------------------
45 y = 900
Divide each side by 45
45y/45 = 900/45
y = 20
There are 20 50 dollar bills
x+y = 32
x+20 = 32
Subtract 20 from each side
x+20-20 = 32-20
x = 12
There are 12 5 dollar bills