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:
8
53
20
19
Step-by-step explanation:
Answer:
See below.
Step-by-step explanation:
Convert to decimal form
7 3/5 = 7.6
7 7/10 = 7.7
10 2/5 = 10.4
8 1/2 = 8.5
So the answer is
7 3/5 , 7 7/10, 8.3, 8.1/2, 10.2 10 2/5, 11.1.
Answer: 225m^3
Step-by-step explanation:
Volume = Bh where "B" is the area of the base and "h" is the height
So, area of the base = 1/2(length)(height) = 1/2(5)(9) = 22.5 m^2.
Then multiply by the height.
22.5x10= 225m^3
