Answer:
3 3/4 cups
Step-by-step explanation:
4 2/4 minus 3/4 (taking away 2/4, then 1/4) would leave you with 3 3/4
Answer:
x≤2 or x≥-6
Step-by-step explanation:
Isolate the variables on both equations
3x-4≤2
3x≤6
x≤2
2x+11≥-1
2x≥-12
x≥-6
These are two-step equations. The first step is to isolate the term with the variable, so you will add/subtract the constant term on both sides. Then, multiple/divide by the coefficient of x on both sides. Don't forget dividing with negative rules: Like signs positive, unlike signs negative.
-3x+7=28 subtract 7
-3x=21 divide by -3
x=-7
4.5x-7=20 add 7
4.5x=27 divide by 4.5
x=6
2x+3=-7 subtract 3
2x=-10 divide by 2
x=-5
Answer:
D-159
Step-by-step explanation:
9514 1404 393
Explanation:
same:
- the addition property of equality
- the multiplication property of equality (for positive multipliers)
different:
- the multiplication property of equality for negative multipliers
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<em>Additional comment</em>
Multiplication by a negative number has the effect of re-ordering numbers:
-1 < 2 . . . 1 > -2 (both sides multiplied by -1)
Other functions can have the same effect, so care must be taken when applying functions to both sides of an inequality.
1/2 > 1/3 . . . 2 < 3 (reciprocal function applied to both sides)
30° < 60° . . . cos(30°) > cos(60°) (cosine function applied to both sides)