Answer:
16 comets
Step-by-step explanation:
This is like a simple versions of systems of equations.
You'd want to create 2 equations describing the two pieces of information they give you. First, define the variables:
# of Fantails = f
# of Comets = c
You know Gloria has 22 total, so f + c = 22
You also know there are 10 fewer f than c, so c - 10 = f
In this case, you can substitute "f" in and solve for c.
(c - 10) + c = 22
2c - 10 = 22
2c = 32
c = 16
I hoped this helped!
I think you mean 0101010101010 binary code
Answer:
0---22.5 and 21---36
Step-by-step explanation:
you will always have 21 free CDs so you can put a closed circle on 21 then you can have a max of 15 CDs (180/12) soo put another closed circle on 36
now time for tapes, which is easier, the minimum is 0 and the max is 22.5. Now put closed circles on each and you're done. Except that .5 might get you in trouble, use your own discretion on rather to leave it on the .5 or round. I don't know what your teacher is looking for so I will let you decide.
Break down the problem into these two equations;
x = -31
-x = -31
Solve for the 1st equation; x = -31
x = -31
Solve for the 2nd equation; -x = -31
x = 31
Collect all solutions
x = ±31
Check the solution
When x = -31, the original equation; |x| = -31 does not hold true. Thus, we will drop x = -31 from the solution set.
Check the solution again;
When x = 31, the original equation |x| = -31 does not hold true as well. Thus we will drop x = 31 from the solution set.
Therefore,
<u>No solution exists to this equation. </u>
Answer:
25 meters
Step-by-step explanation:
Imagine a segment extending vertically down from the left tree to the right tree.
That would make the segment be 25-10, or 15.
Then, we have a right triangle and we can solve for the hypotenuse, which is the length of the rope. (The bottom of the triangle is 20, and the leg is 15.)
We can use the pythag theorem: 15^2+20^2=c^2
c^2=225+400
c^2=625
c=25
Therefore, 25 meters
I hope the helped! If you have any further questions or concerns, please feel free to comment them below!