x < - 
add
to both sides
- 3x >
+ 
- 3x >
( divide both sides by - 3 )
note that when we divide/ multiply by a negative quantity we must reverse the inequality symbol
x < - 
Answer:
105 cc of 7% solution
245 cc of 17% solution
Step-by-step explanation:
If x = volume of 7% solution, and y = volume of 17% solution, then:
x + y = 350
0.07x + 0.17y = 0.14(350)
Solve with substitution:
0.07x + 0.17(350 − x) = 0.14(350)
0.07x + 59.5 − 0.17x = 49
10.5 = 0.10x
x = 105
y = 245
Round off the decimals to a sensible number.
So 3.7 would be 4 and 10.2 would be 10.
In this case, it would be (2 × 4 + 8) × 10 which is 160.
Answer:
w < 8 meters ( w must be greater than 0 because length cannot be 0)
Step-by-step explanation:
One side with building is 23 meters, the other opposite side also will be 23 meters (with rope).
Let width (remaining 2 sides) be "w", he has AT MOST 39 meters of rope, so we can write:
Rope Needed = 23 + 2w < 39
Simplifying:

The range of possible values of w is
meters (of course w has to be greater than 0)
Answer: Raymond is correct
The DJ charges $75 an hour.
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Explanation:
x = number of hours
y = total cost
The DJ does a 3-hour event for $275. This means one point is (x,y) = (3,275)
Another point is (5,425) because a 5-hour event costs $425.
Let's find the slope of the line through these two points.

The slope is 75, meaning that each time y goes up by 75, x goes up by 1.
Flipped around it means each time x goes up by 1, y goes up by 75.
This means each time we add on an extra hour, the cost goes up by $75.
The DJ charges $75 an hour. Raymond is correct.