3/2 - x = -12
(multiply everything by 2 to get rid of fraction)
3-2x= -24
3+24 = 2x
3/2 + 12 = x
Answer:
8x
Step-by-step explanation:
3x + 8x are like terms which means they have the exact same variable.
To add like terms we add the coefficients which are 3 and 5.
3 + 5 = 8
We have 8 x's. So 3x + 5x = 8x.
In order to add terms, the variable part has to be exactly the same.
It's like saying 3 balls + 5 balls = 8 balls.
Answer:
Simplified Answer: 1/3 Non-Simplified Answer: 5/15
Step-by-step explanation:
Make every fraction have a common denominator:
4/5 * 3/3 = 12/15
3/15 = 3/15
2/3 * 5/5 = 10/15
Add and/or Subtract the numerator(s):
12 + 3 = 15
15 - 10 = 5
Place the final numerator over the denominator (Non-simplified Answer):
5/15
Simplify (What can you divide the numerator and the denominator by to make the fraction into it's simplest from without any remainders?):
5 goes into both 5 and 15.
5/15 divided by 5 = 1/3
Simplified Answer:
1/3
Answer: 95
Step-by-step explanation:
950x4 + 10.6x=4800
10.6x = 1000
x = 94.34 hours, or 95 hours approximately
Answer:
Option B. 8 mi, 9 mi, 2 mi
Step-by-step explanation:
The option A doesn't have a set of numbers which could be the lengths of the sides of a triangle. The numbers 1,9,10 mean that the longest side is exactly the sum of the others. The only possible way is they lie in the same line, no triangle is formed
Option C gives the numbers 1,9,11. It's impossible to have a side of 11 when you have the sum of the others less than 11. The maximum extension of the other sides (forming a line) won't be enough to reach the length of 11
Option D is also infeasible for the same reason as the option A. The three lines must be aligned to be connected in its extremes
Option B is the only one who can provide a set of possible lengths of a triangle since the sum of the shortest sides is greater than the third. If we open wide enough the angle between the 2 mi side and the 8 mi side, we would eventually connect the 9 mi side and form a triangle
