Answer:
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Step-by-step explanation:
1. Subtract 10 from both sides. Then:
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2. Divide both sides by -2. Notice that the direction of the symbol of the inequality will change. Then:

3. Add 22 to both sides. Then:
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4. Divide both sides by -7. Notice that the direction of the symbol of the inequality will change. Then:

5. Subtract 30 from both sides. Then:
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6. Divide both sides by -5. Notice that the direction of the symbol of the inequality will change. Then:
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7. Subtract 13 from both sides. Then:
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8. Add 12 to both sides. Then:
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1/3 + 2/5 • 2/3
2 • 2 = 4
5 • 3 = 15
1/3 = 5/15
5/15 + 4/15 = 9/15 = 3/5
1/3 + 2/5 • 2/3 = 3/5
Answer:
Read Explanation
Step-by-step explanation:
A standard devation of 15 means 68% of the norm group has scored between 85 (100 – 15) and 115 (100 + 15). In other words, 68% of the norm group has a score within one standard deviation of the average (100). Also, 95% of the norm group has an IQ score within two standard deviations of the average.
You sure seem to be asking a lot of questions lately. I'd like to see that you've been trying with these problems at least because if you can't get that first one it's almost like you missed the whole lesson.
1. 20 = 4b + 7 + 5
Add the 7 and 5.
20 = 4b + 12
Subtract 12 from each side.
8 = 4b
Divide each side by 4.
2 = b
2. 7 = 6k - 7k
6k - 7k = -1k. (the k acts as a sort of unit)
7 = -1k
Divide each side by -1.
-7 = k
3. 3.23 - 2m = 3 - 2(5m - 2)
Distribute the ×-2 to each term inside the parentheses.
3.23 - 2m = 3 - 10m + 4
Add the 3 and 4.
3.23 - 2m = 7 - 10m
Add 10m to each side.
3.23 + 8m = 7
Subtract 3.23 from each side.
8m = 3.77
Divide by 8.
m = 0.47125
4. -88/45=1/3r+2/5r
To get rid of the fractions, let's multiply everything by 45.
-88 = 15 + 18r
Subtract 15 from each side.
-103 = 18r
Divide by 18.
-103/18 = r
As a mixed number, r = -5 and 13/18
As a decimal, r = -5.7222...
The 1st choice (x - 9, y - 3) is the correct answer.
Take any of the corresponding coordinate points to find the rule that represents the translation:
D —> D’
(3, 5) —> (-6, 2)
(3 - 9, 5 - 3) = (-6, 2)
Counting the units from graph also shows this translation rule, seeing that hexagon DEFGHI moved 9 units to the left and 3 units down.
Hope this helps :)