Answer:
-8-60p
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
Answer:
4.4
Step-by-step explanation:
The tenth place in this number is 4.<u>4</u>32, so that should be the last digit.
Now, we need to know wether to round up or down. That is determined by the digit that comes after it. <em>If that digit, here it is the hundredth, is 0-4, it rounds down, if it is 5-9, it rounds up</em>. Our next digit is <em>3</em>, which goes into the first category, <em>so the number rounds down</em>, so the tenth remains the same. That leaves us with 4.4.
Use the Pythagorean theorem...
a²+b²=c², in this case a²=c²-b<span>²</span>
a²+24²=33.94113<span>²
a</span><span>²+576=1,152.00031
a</span><span>²=576.000306
a=24 (If you need the exact number, not rounded, it is 24.0000064)</span>
