Answer:
= 45/99 (since 45 is the repeating part of the decimal and it contains 2 digits). We can divide both the top and bottom parts by 9 to find that 0.454545… = 45/99 = 5/11.
Step-by-step explanation:
Hope this helps!
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.
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<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:
j(x) = [ (3/10) cookie/student ]x
Step-by-step explanation:
The "unit rate" here is
3 jumbo cookies
------------------------- = (3/10) cookie/student
10 students
Then the number of cookies needed to feed x students is
j(x) = [ (3/10) cookie/student ]x
Answer: The death is 500, there will be 125 carbon-14 atoms, and after 25,000 years.
Step-by-step explanation:
I just took a test and got it right, I can't do math (;
Company 1: (24 + 26 + 28 + 23 + 21) / 5 (this is how many numbers added together) = 24.4
Company 2: (6 + 32 + 9 + 31 + 21) / 5 = 19.8
Company 3 (15 + 15 + 15 + 15 + 15) / 5 = 15
Company 4: (13 + 10 + 45 + 12 + 15) / 5 = 19
Company 1 has the longest average commute time per employee.
