Answer:
63+22i
Step-by-step explanation:
(8 - 3i)(6 + 5i)
FOIL
first: 8*6 = 48
outer: 8*5i = 40i
inner: -3i* 6 = -18i
last: -3i*5i = -15 i^2 = -15(-1) = 15
Add together
48+40i -18i +15
Combine like terms
63+22i
Answer:c
Step-by-step explanation:
Answer: The average age is 7.1 years.
This problem is an example of when we need to take a weighted average. We simply can't just find the average of 5 and 8, because there are different children of each each.
To start, lets multiply the total number of children by their individual ages.
6 x 5 = 30 years
14 x 8 = 112 years
There are 142 years among the 20 years, so divide 142 by 20. This gives us an average age of 7.1 years.
Answer:
#1: x = 3; #2 c = 1/2; #3 = x = 22; #4 is correct (x = -8)
Step-by-step explanation:
for the first equation everything was right until 22x = 66
after
22x = 66
you must divide everything by 22
x = 3
that is for #1
for the second equation you copied down the question wrong
the negative is still there
6c - 8 - 2c = -6
combine 6c and -2c
4c - 8 = -6
the negative remains on the 8
add 8 to both sides
4c = 2
divide 4 to both sides
c = 2/4 or just 1/2
for the third equation you must first combine like terms
-3x + 25 + x + 21 = 2
combine -3x and x & 25 and 21
-3x + x = -2x
25 + 21 = 46
-2x + 46 = 2
then subtract 46 from both sides
-2x = -44
now divide both sides by -2
x = 22
that is your answer
number four should be correct
Well if I did my math correctly I do believe the perimeter should be 392 ft.
6÷2.5= 2.4
2.4×35=84
8÷2.5= 3.2
3.2×35=112
84×2
112×2
_____
392
you mult. by 2 because it's a room which usually has four walls and I imagined it being a rectangle.