Heres all of them including the finished one.. just in case
75x - 35 ≥ 77x + 63 + 4 Distributive property.
75x -35 ≥ 77x + 67 Combine like terms.
-2x - 35 ≥ 67 Subtraction property of equality.
-2x ≥ 102 Addition property of equality.
<span>x ≤ 51 Division property of equality.
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11-2×48= 412. So the value of the expression is 412.
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:
60 degrees
Step-by-step explanation:
The angles all have to add up to 180, so you can do
Answer:
the first one I guess
Step-by-step explanation:
