Answer:
The answer is 17.
Step-by-step explanation:
Answer:
AE = 19 and <EDC = 59
Step-by-step explanation:
i am almost positive that those are both right
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:
The answers would be as follows:
3
3
1
1
Step-by-step explanation:
We can tell that the first two have an infinite number of solutions because when we try to solve, we get a true statement. The first one is done for you below.
-6x + 7 = -6x + 7 ------> Add 6x to both sides
7 = 7 (TRUE STATEMENT)
We can tell the next two have no solution due to the fact that they develop a false statement when trying to solve.
-3x + 7 = 3x + 7 ----> Subtract 7 from both sides
-3x = 3x ---> Divide by 3
-x = x (UNTRUE STATEMENT)
