D and F are not equivalent to ax+bx+ac+bc+
I think the answer's C: $7000/$8000
That's a surprisingly easy question for high school
You need to start calculating from the innermost bracket and if there are no signs to do any operation then you need to multiply
Answer:
x > 1/5
Step-by-step explanation:
All of these three triangle inequalities must be satisfied:
AB +BC > AC
BC +CA > BA
CA +AB > CB
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Taking these one at a time, we have ...
AB +BC > AC
3x +4 + 2x +5 > 4x
x +9 > 0 . . . . . subtract 4x
x > -9
__
BC +CA > BA
2x +5 + 4x > 3x +4
3x > -1 . . . . . . subtract 3x+5
x > -1/3 . . . . . divide by 3
__
CA + AB > CB
4x + 3x +4 > 2x +5
5x > 1 . . . . . . subtract 2x+4
x > 1/5
___
The only values of x that satisfy all of these inequalities are those such that ...
x > 1/5
Answer: Mary need to make at-least 95 on her fourth test to earn an A in her algebra course.
Step-by-step explanation:
Let x be the grades scored by Mary in the fourth algebra test.
Mary has grades of 95, 82, 88 on her first three algebra tests.
Then, the combined scores in four test will become = 95+82+88+x = 265+x
Average score = (Sum of all scores) ÷ (Number of tests)

As per given ,
To earn an A in an algebra course, a student must have a test average of at least 90.
i.e. Average score ≥ 90

Hence, Mary need to make at-least 95 on her fourth test to earn an A in her algebra course.