Remark
What you can do is solve this system of equations
Let the 2 point questions = x
Let the -1 point questions = y
Let the 0 point questions = n
2x - y = 24
x + y + n = 20 So start by letting x = 14 (just a random number) Solve the first equation.
2x - y = 24
2*14 - y = 24
28 - y = 24 Subtract 28 from both sides.
- y = 24 - 28
- y = - 4
y = 4
Now use the second equation to solve for n
14 + 4 + n = 20
18 + n = 20
n = 20 - 18
n = 2
Answer 1
<em>x = 14</em>
<em>y = 4 </em>
<em>n = 2 Total 20.</em>
This time lets try x = 15 and solve for y
2*15 - y = 24
30 - y = 24
- y = - 6
y = 6
15 + 6 + n = 20 This obviously will not work. 15 right is too many to be this circumstance. n would have to be -1 and that isn't possible.
Try x = 13
2x - y = 24
2*13 - y = 24
26 - y = 24
-y = 24 - 26
-y = -2
y = 2
Now use the second equation.
x + y + n = 20
13 + 2 + n = 20
15 +n = 20
n= 5
So Answer 2 is
<em>x = 13</em>
<em>y = 2</em>
<em>n = 5 </em>
Log base 4 of 32 is equal to 5/2.
What a log is looking for is what number do we have to raise 4 to in order to get 32. Since it is not an exact multiply of 4, we have to look for fractions. Since we know that 2 can multiply directly to 32, we would simply take the square root of 4. This can be done by raising 4 to the 1/2.
Now that we have 2, we know that raising that to the 5th power would give us 32. So we'll take that answer and the 1/2 from before and multiply them together to get the final answer.
5*1/2 = 5/2.
Answer:
rational
Step-by-step explanation:
53.7 can be written as a fraction of integers, so it is rational.
53.7 = 537/10
Answer:
x = 
Step-by-step explanation:
the ratio of side to hypotenuse in a right triangle is 1 : 
in this problem we can use 'x' in place of 1 and 
in place of to create a proportion like this:
1/x = /
cross-multiply to get:
·x =
x = 
x =
It depends on how you look at it and what you are trying to find
