(7/3 *3sqrt27-2)*1/5 +sqrt(81)
answer = 10
NM + MO = NO
17 + 3x - 5 = 5x + 2
Combine like terms (17 - 5)
12 + 3x = 5x + 2
Subtract 3x from both sides (3x - 3x) (5x - 3x)
12 = 2x + 2
Subtract 2 from both sides (2 - 2) (12 - 2)
10 = 2x
Divide 2 from both sides (2/2) (10/2)
X = 5
NO = 5x + 2
NO = 5(5) + 2
NO = 25 + 2
NO = 27
answer is 31
Step-by-step explanation:
When ever you have percentages, it should be helpful to bear in mind you can express them as multipliers. In this case, it will be helpful.
So, if we let:
a = test score
b = target score
then, using the information given:
a = 1.1b + 1
a = 1.15b - 3
and we get simultaneous equations.
'1.1' and '1.15' are the multipliers that I got using the percentages. Multiplying a value by 1.1 is the equivalent of increasing the value by 10%. If you multiplied it by 0.1 (which is the same as dividing by 10), you would get just 10% of the value.
Back to the simultaneous equations, we can just solve them now:
There are a number of ways to do this but I will use my preferred method:
Rearrange to express in terms of b:
a = 1.1b + 1
then b = (a - 1)/1.1
a = 1.15b - 3
then b = (a + 3)/1.15
Since they are both equal to b, they are of the same value so we can set them equal to each other and solve for a:
(a - 1)/1.1 = (a + 3)/1.15
1.15 * (a - 1) = 1.1 * (a + 3)
1.15a - 1.15 = 1.1a + 3.3
0.05a = 4.45
a = 89