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:
5300 people
Step-by-step explanation:
265 = .05x
Answer:
The short story have 26 pages
The novel's pages is 364
Step-by-step explanation:
Step one:
given data
let the short story have x pages
so that the novel's pages will be 14x
the combined pages for novel and short story is =390 pages
Required
the individual number of pages
14x+x=390
15x=390
divide both sides by 15
x=26
the short story have 26 pages
the novel's pages will be 14(26)= 364
Funny I just answered the same exact question just a minute ago, but anyway the area formula is A=L*W, so that means that you need to multiply 2/5 times 1/3 to get the area. Once you do that it wants you to put it in the simplest form, which only means to reduce it down, unless it doesn't need too. Like if I got 10/20, the simplest form would be 1/2, because 10/20 is the same as 1/2, just reduced down. Apply the same logic to your problem and you will get your answer
Answer:
x= 4
m<ABC= 56
Step-by-step explanation:
since BD bisects, both sides of the angle are equal.
So we can set up an equation like this: <ABD=<CBD
(9x-8)=(5x+8) calculate for x
you'll find x=4
then put four into one of the angle equations
9(4)-8=28
now we know each side of the angle is 28, double it to find the whole (<ABC)
28+28=56
