Answer:
-2 < w ≤ 6
Step-by-step explanation:
The inequalities you're asked to combine are ...
-2 < w
6 ≥ w
Turn one of these around so the "arrows" point in the same direction. (My preference is that they point to the left.) Now you have ...
-2 < w
w ≤ 6
You combine these by putting w in the middle:
-2 < w ≤ 6
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<em>Alternate solution</em>
I like the above solution because it puts the components of the expression in the same (left-right) order as they appear on a number line. However, both inequalities can be turned around to get ...
6 ≥ w > -2
You can get all the answeres easily.
Heres number 1: -1/5
Answer:
g = 10
Step-by-step explanation:
Distribute 7 to the parentheses:
7(g + 5) = 105
7g + 35 = 105
Solve for g:
7g + 35 = 105
7g = 170
g = 10
So, the answer is g = 10
Answer:
56 coins for 0.50 cents
Step-by-step explanation:
The little lines on each side of the rhombus mean that all the sides are the same length.
We can set line LM and MN equal to solve for X, then we can solve the length of a side.
3x-3 = x+7
Add 3 to each side:
3x = x +10
Subtract x from each side:
2x = 10
Divide both sides by 2:
x = 10/2
x = 5
Now we have the value for x, replace x in one of the side formulas:
x +7 = 5+7 = 12
Each side = 12 units.
The perimeter would be 12 + 12 + 12 + 12 = 48 units.