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
R= {2,5,3} Domain is the x values and Range is the y values.
Answer:
6n
Step-by-step explanation:
because n is really 1n, we just dont usually write it like that to make things quicker, so its 5 + 1, and since its 5n and 1n the answer is 6n
<span><span><span><span>Simplify: x+3/</span>9</span><span><span>x / x+12/</span><span>x+6</span></span></span>
Rewrite the equation by multiplying the reciprocal of </span>
<span><span>x+12/<span>x+6
</span></span><span><span>Now the problem will be as follows, x+3</span>/9</span> ×<span> 6<span>/x+12
The answer is 2(x + 3) / 3 (x + 12).
</span></span></span>
Answer:
30%
Step-by-step explanation:
if 50 are orange, that is half, then there are 30 left. meaning 30%
hope this helps!
