My Math Problem is

Question

{4/5n + 9/2} = 49/10

8/10 45/10n = 53/10n

53/10 x 49/10 = 490/530

n= 60
am I correct

Answer 1

(4/5)n = 49/10 - 9/2
(4/5)n = 2/5
4n = 2
n = 1/2

Answer 2

does the answer change if this was an absolute value problem. Thanks

My answers are
a. {-1/75]
B. {1/2-47/4
C. [-201/14,3/2
D. {1/15,5/3}

Answer 3

ahhh, did not see your reply last night, had gone to bed

so it was:
|(4/5)n + 9/2| = 49/10

then (4/5)n + 9/2 = 49/10 OR (-4/5)n - 9/2 = 49/10

I had solved the first version of that and got n = 1/2

solve the second equation to get the second solution.

since n = 1/2 shows up only in B, you should get
n = -47/4 for your second solution