Answer:
Step-by-step explanation:
8
Answer:
x = 41 3/4
Step-by-step explanation:
(2 1/2)x -(3/4)(2x +5) = 38
(2 1/2)x -(1 1/2)x -15/4 = 38 . . . . use the distributive property
x = 38 +3 3/4 . . . . . . add 15/4
x = 41 3/4
_____
Another way to solve this is to "clear fractions" by multiplying the whole equation by 4:
10x -3(2x +5) = 152
4x -15 = 152 . . . . eliminate parentheses
4x = 167 . . . . . . . add 15
x = 41 3/4 . . . . . . divide by 4
Answer:
x < -39
Step-by-step explanation:
d/13 is actually just 1/13d:
1/13d > -3
Then you multiply both sides by the reciprocal of 1/13 which is 13. You do this because you normally you would divide, but since you can't divide a fraction, you multiply by the reciprocal, which is just the flipped version.
13 × 1/13 > -3 × 13
It cancels out on one side, because you are multiplying by its opposite. Then you multiply 13 × -3. This is -39. But the thing is that, when you multiply or divide by a negative, you need to flip the inequality sign around.
x < -39
=4x+12
Apply the distributive property
Arrange like terms
Simplify