Answer:
x = 12
Step-by-step explanation:
Solve for x:
(2 x)/5 - 4 = 8 - (3 x)/5
Put each term in (2 x)/5 - 4 over the common denominator 5: (2 x)/5 - 4 = (2 x)/5 - 20/5:
(2 x)/5 - 20/5 = 8 - (3 x)/5
(2 x)/5 - 20/5 = (2 x - 20)/5:
(2 x - 20)/5 = 8 - (3 x)/5
Put each term in 8 - (3 x)/5 over the common denominator 5: 8 - (3 x)/5 = 40/5 - (3 x)/5:
(2 x - 20)/5 = 40/5 - (3 x)/5
40/5 - (3 x)/5 = (40 - 3 x)/5:
(2 x - 20)/5 = (40 - 3 x)/5
Multiply both sides by 5:
2 x - 20 = 40 - 3 x
Add 3 x to both sides:
3 x + 2 x - 20 = (3 x - 3 x) + 40
3 x - 3 x = 0:
3 x + 2 x - 20 = 40
2 x + 3 x = 5 x:
5 x - 20 = 40
Add 20 to both sides:
5 x + (20 - 20) = 20 + 40
20 - 20 = 0:
5 x = 40 + 20
40 + 20 = 60:
5 x = 60
Divide both sides of 5 x = 60 by 5:
(5 x)/5 = 60/5
5/5 = 1:
x = 60/5
The gcd of 60 and 5 is 5, so 60/5 = (5×12)/(5×1) = 5/5×12 = 12:
Answer: x = 12
4(3+5) --> this means that 12/4=3 and 20/4=5 and 4 is the GCF
Answer: AB
Step-by-step explanation:
AB is on the sideways of AD=BC.
Answer:
Chicago marathon runners
Step-by-step explanation:
Due to the strict qualifying time, the runners of the Boston marathon are going to very prepared, and quite close in their times. Since they are going to be close, the standard deviation is expected to be small.
Otherwise, in the Chicago marathon, anyone can run. This means that along with the professional runners, who are going to be very prepared, other unprepared runners will compete, and they are going to take a long time to complete the race, adding variation to the finishing times. The standard deviation is the square root of the variance, so since the variance for the Chicago marathon will be higher, the standard deviation also will
can be transformed into
: both expressions are equivalent, the root of certain number is equivalent to that number power at a fraction whose denominator is the index of the root. The simpliest example for this statement is
(the squared root of x equals x raised at 1/2).
and
. In this case, then
, which is the final expression.