15. n - 6 = 21......add 6 to both sides
n = 21 + 6
n = 27
16. p + 1 3/4 = 4 5/8...turn mixed numbers to improper fractions
p + 7/4 = 37/8....there is 2 ways to continue from here...I will show u both
(1) p + 7/4 = 37/8....multiply everything by common denominator of 8, this gets rid of the fractions.
8p + 14 = 37 (result of multiplying by 8)
8p = 37 - 14
8p = 23
p = 23/8
(2) p + 7/4 = 37/8...subtract 7/4 from both sides
p = 37/8 - 7/4...common denominator is 8
p = 37/8 - 14/8
p = 23/8
either way u use, u will arrive at the same answer
64 + 43 = 107
107 - 43 = 64
107 - 64 = 43
(3x-10) (3x-10)
Both of the 10's have to be negative because -10 x -10 = 100
and if you use foil -30 + -30 = -60
One third of a number: 1/3
3 is subtracted from 1/3 of a number n: 1/3n -3
Result is less than 6: less is represented with the symbol <. So, the result of the expression 1/3n-3 is less (<) than 6.
The final expression:
1/3n-3<6
You can just plug in the answers for x and solve, so for A, if you plug in 10 for x, 10 times 2 is twenty, minus one is 19, which is not less then 10, so A can't be the answer regardless of the other two. So just keep plugging in numbers until you get a set that all has answers less than 10.
