Answer:
38
Step-by-step explanation:
(11+13)+14
11+13=24
24+14=38
Answer:
5.4 > x > 2.8
Step-by-step explanation:
Sum of two sides is always greater than the third side
Case1 :
4.1 + 1.3 > x
5.4 > x
Case2:
4.1 + x > 1.3 or 1.3 + x > 4.1
x > 1.3 - 4.1 or x > 4.1 - 1.3
x > - 2.8 or x > 2.8
Note that it is obvious x is not -ve so neglect -2.8. x > 2.8
Hence,
5.4 > x > 2.8
2a+4(7+5a)
Distribute 4 into 7 and 5a
2a+28+20a
Combine like terms
Final Answer: 22a+28
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>.
I'm pretty sure $39.31 was the original sales cost because if you use proportions to find out what is 7.2% of 42.35 ( what you get you you subtract 45 by 2.65). Your equation would be x/42.35 = 7.2/100. 42.35 is the whole because tax is adding money onto your original cost, making that the part. When you cross multiply you get 100x = 304.92. Then you divide by 100 on both sides to isolate the variable, to get x = 3.04. But you don't stop there. Since 3.04 is only the 7.2%, you have to subtract that by 42. 35 to get a sum of 39. 31 as your total.
