Answer:
2x - 10 = 10 - 3x
Simplifying
2x + -10 = 10 + -3x
Reorder the terms:
-10 + 2x = 10 + -3x
Solving
-10 + 2x = 10 + -3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '3x' to each side of the equation.
-10 + 2x + 3x = 10 + -3x + 3x
Combine like terms: 2x + 3x = 5x
-10 + 5x = 10 + -3x + 3x
Combine like terms: -3x + 3x = 0
-10 + 5x = 10 + 0
-10 + 5x = 10
Add '10' to each side of the equation.
-10 + 10 + 5x = 10 + 10
Combine like terms: -10 + 10 = 0
0 + 5x = 10 + 10
5x = 10 + 10
Combine like terms: 10 + 10 = 20
5x = 20
Divide each side by '5'.
x = 4
Simplifying
x = 4
Answer:
41 degrees
Step-by-step explanation:
All three angles in a triangle must add up to 180 degrees. The picture already tells you that B is 63 degrees. This means A and C should both add up 117 degrees. If A is 2x+8 and B is x+7, then A+B is 3x+15. This means that 3x+15 is equal to 117 degrees.
- 3x + 15 = 117
- 3x = 117 - 15
- 3x = 102
- x = 102/3
- x = 34
Now that we know that x is 34, we plug it in. X + 7 becomes 34 + 7 degrees which is equal to 41 degrees.
Answer:
The change received by Judy is $ 2.69.
Step-by-step explanation:
Bill paid = $ 10
Cost of binder = $ 1.38
Cost of pack of pencils = $ 2.05
Cost of box of erasers = $ 3.88
Total cost of the school supplies = $ 1.38 + $ 2.05 + $ 3.88 = $ 7.31
The amount of change Judy received = $ 10 - $ 7.31 = $ 2.69
Answer:
Any of the Pythagorean Triples
Step-by-step explanation:
Answer:
C.) 217
Step-by-step explanation:
If the top 4% of athletes are allowed to be part of the team, then the bottom 
will not qualify.
We look for a z-score below which 
of the population lie.
Reading from the z-table as shown in the attachment, this z-value corresponds to 
.
We now use the z-score formula to find the required minimum qualifying score.
where 
We substitute and solve for x.
The correct choice is C
