9514 1404 393
Answer:
(a) 1. Distributive property 2. Combine like terms 3. Addition property of equality 4. Division property of equality
Step-by-step explanation:
Replacement of -1/2(8x +2) by -4x -1 is use of the <em>distributive property</em>, eliminating choices B and D.
In step 3, addition of 1 to both sides of the equation is use of the <em>addition property of equality</em>, eliminating choice C. This leaves only choice A.
_____
<em>Additional comment</em>
This problem makes a distinction between the addition property of equality and the subtraction property of equality. They are essentially the same property, since addition of +1 is the same as subtraction of -1. The result shown in Step 3 could be from addition of +1 to both sides of the equation, or it could be from subtraction of -1 from both sides of the equation.
In general, you want to add the opposite of the number you don't want. Here, that number is -1, so we add +1. Of course, adding an opposite is the same as subtracting.
In short, you can argue both choices A and C have correct justifications. The only reason to prefer choice A is that we usually think of adding positive numbers as <em>addition</em>, and adding negative numbers as <em>subtraction</em>.
Answer:
$200
y=25x+50
Step-by-step explanation:
y=25(6)+50
y=150+50
y=200
Answer:
Rope jumping, slow pace, < 100 skips/min, 2 foot skip, rhythm bounce 8.8 630
Rope jumping, moderate pace, 100-120 skips/min, general, 2 foot skip, plain bounce 11.8 845
Rope skipping, general 12.3 881
Rope jumping, fast pace, 120-160 skips/min 12.3 881
Step-by-step explanation:
Answer:
0.3 per year
Step-by-step explanation:
Number of newborn per year: 200*0.5 = 100
Number of death per year: 200*0.2= 40
So, the difference between birth and death = 100-40 = 60 (people)
and the growth rate during the year is: 60/200 = 0.3
<em>Hope this answer will find you well. </em>
