Answer:
- 2(x + 2) + 2 = 2(x + 3) + 1
- 2x + 3(x + 5) = 5(x – 3)
- 5(x + 4) – x = 4(x + 5) – 1
Step-by-step explanation:
It can be easier to see the answer if you subtract the right side of the equation from both sides, then simplify.
1. 2(x + 2) + 2 = 2(x + 3) + 1
2(x + 2) + 2 - (2(x + 3) + 1) = 0
2x +4 +2 -2x -6 -1 = 0
-1 = 0 . . . . no solution
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2. 2x + 3(x + 5) = 5(x – 3)
2x + 3(x + 5) - 5(x – 3) = 0
2x +3x +15 -5x +15 = 0
30 = 0 . . . . no solution
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3. 4(x + 3) = x + 12
4(x + 3) - (x + 12) = 0
4x +12 -x -12 = 0
3x = 0 . . . . one solution, x=0
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4. 4 – (2x + 5) = (–4x – 2)
4 – (2x + 5) - (–4x – 2) = 0
4 -2x -5 +4x +2 = 0
2x +1 = 0 . . . . one solution, x=-1/2
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5. 5(x + 4) – x = 4(x + 5) – 1
5(x + 4) – x - (4(x + 5) – 1) = 0
5x +20 -x -4x -20 +1 = 0
1 = 0 . . . . no solution
Answer:
(-15)/3 = -5
Step-by-step explanation:
(-15)/3
Assume that your positive tiles are yellow, and your negative tiles are red.
The question is asking, "if you take 15 red tiles and split them into three equal groups, how many will you have in each group?"
How can you model the first value of -15? With 15 red tiles.
Let’s model how to divide the tiles into three equal groups by moving one tile at a time into three separate groups until all 15 tiles have been moved.
Step 1.
Start with 15 red tiles, as in the first picture.
Step 2.
Start by moving tiles one at a time to begin creating three new groups.
The middle picture shows the situation after you have moved the first three tiles.
Step 3.
Continue moving tiles one at a time from the original group and stacking them evenly in the three new groups until you have no more tiles to move.
The third picture shows the situation when you have finished.
How many red tiles are in each group? There are five.
Is the answer positive or negative? The answer is negative, because there are five red negative tiles in each group.
Conclusion? (-15)/3 = -5
Answer:
C. (2, 6] hour jobs cost $100
Step-by-step explanation:
Let's consider each of these statements in view of the graph:
- A cleaning time of 2 hours will cost $100. -- The closed circle at (2, 50) tells you the cost of a 2-hour job is $50, not $100.
- A cleaning time of 6 hours will cost $150. -- The closed circle at (6, 100) tells you the cost of a 6-hour job is $100, not $150.
- Cost is a fixed rate of $100 for jobs requiring more than 2 hours, up to a maximum of 6 hours. -- The line between the open circle at (2, 100) and the closed circle at (6, 100) tells you this is TRUE.
- Cost is a fixed rate of $200 for jobs that require at least 6 hours. -- "At least 6 hours" means "greater than or equal to 6 hours." The closed circle at (6, 100) means a 6-hour job is $100, not $200.
Answer:
5,500 rabbits
Step-by-step explanation:
500% of something is 5 times the original amount. 1,100 rabbits times 5 equals 5,500.
