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:
Yes
Step-by-step explanation:
She has enough money because 7% tax on a 10.00$ item would be 7% of 10.00$ which is 70 cents.
-4x + 6y = -12
-4(0) + 6y = -12
0 + 6y = 12
<u>6y</u> = <u>12</u>
6 6
y = 2
The y-intercept of the equation is 2.
Answer:
The answer is 4.2,
Hope that helped. x
Step-by-step explanation:
3 x 7 (3*7) = 21
21 divided by 5 = 4.2.
each box weighed 10 more pounds
and he lifted 12 boxes
so if you multiply 12 x the weight and then 12 times 10 more pounds each you would have 12c +12*10
which uses the equation 12(c+10)