<span>(21/2) / (3/4)
21/2 * 4/3
=14 miles </span>
Answer:
4 1/3 inches Smaller piece
16 2/3 inches Larger piece
Step-by-step explanation:
x + (2x + 8) = 21
3x + 8 = 21
3x = 13
x = 13/3
x = 4 1/3 inches Smaller piece
2x + 8 = 8 2/3 + 8
2x + 8 = 16 2/3 inches Larger piece
Answer: Rectangle
Reasoning: 4 straight sides, 2 pairs of sides of equal length.
First, determine if the boundary line should be dotted or solid. In this case, it should be dotted because the symbol is less than not less than or equal to. This leaves you with options B or D. Now, to see if it should be shaded up or down, test it by substituting any point, let's say the origin (0,0), to see if that point is a solution to the equation. If it is, you shade that side of the graph, but if it's not, you shade the other side of the graph.
0 is less than (-3/4)(0) + 2
0 is less than 2.
Because 0 is actually less than 2, the statement is correct and you shade below the line
Answer: D
The difference between mixed numbers gives:
-5¹/₆ - (-8¹/₂) = 3¹/₃
So the correct option is the third one.
<h3 /><h3>How to get the difference between mixed numbers?</h3>
Here we want to compute the difference between two mixed numbers.
First, remember that we can rewrite those as:
-5¹/₆ = (-5 - 1/6)
-8¹/₂ = (-8 - 1/2)
Now, let's go to the difference:
-5¹/₆ - (-8¹/₂)
First you can see that there are two negative signs together, so it is equivalent to a positive sign:
-5¹/₆ - (-8¹/₂) = -5¹/₆ + 8¹/₂
Now we can replace the mixed numbers to get:
-5¹/₆ + 8¹/₂ = (-5 - 1/6) + (8 + 1/2) = (8 - 5) + (1/2 - 1/6) = (3 + 2/6) = 3 + 1/3
And that can be rewritten to:
3 + 1/3 = 3¹/₃
Which is completely simplified.
So we conclude that the correct option is the third one, counting from the top.
If you want to learn more about mixed numbers:
brainly.com/question/1746829
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