Step-by-step explanation:
The ratio's can be expressed as fractions and you may compare those.
In order to compare fractions you need to bring them into equal denominator.
8 and 9 have LCM of 8*9 = 72 since they have no common factors.
<u>The equivalent fractions with common denominator are:</u>
- 5/8 = 9*5/(9*8) = 45/72
- 7/9 = 8*7/(8*9) = 56/72
<u>Now we can compare the fractions:</u>
- 45/72 < 56/72, since 45 < 56
Well, if we look at a calculator and ask, what is 8% of 3000$ we get the answer of 240 dollars.
3000 - 8% = 2760 therefor we know it removes 240 dollars. So the commission is 240 dollars.
3. The correct answer is 2) 3m² - 6.
(2m² + 3m - 4) + (m² - 3m - 2) Given
2m² + m² These numbers are like terms, because they both end in m².
3m² Since m² can also be written as 1m², and 2 + 1 = 3, this is the sum of 2m² and m² (1m²).
3m + (-3m) These numbers are like terms, because they both end in m. -3m is negative because it was being subtracted.
0 Since we're adding a negative, it's the same as subtracting something. 3m - 3m is 0.
-4 + (-2) These numbers are like terms, because they are both simple integers with no variable. Once again, we're adding a negative because it was being subtracted.
-6 -4 + (-2) is the same as -4 - 2, which is -6. Remember that when you're subtracting from a negative, the number seems to become larger. For instance, 1 - 1 is 0, but -1 - 1 is -2.
3m² - 6 Put all of the terms together. We don't have to write out 0, because 0 is the same as nothing.
5. This one is a bit unclear, but I think that the correct answer is 2) II and IV. The slope formula can be written as y = mx + b, where m is the slope and b is the y-intercept, or the place where the line crosses the y-axis. In this equation, b is 2, which is a positive number, so the y-intercept shifts upward. This means that the answer is either 2 or 3. As for |x - 6|, the way this is written makes the equation somewhat confusing. I believe that the bars are meant as absolute value bars, which, put simply, turn negatives into positives. This means that this part is x + 6, so the line shifts to the right. However, if they were intended as parentheses, the line would shift to the left, because we're subtracting 6 from x. I'm almost certain those were intended as absolute value bars, though, so I think that the answer is 2.
Hope this helps!
The answer to 5 is A. And the answer to #6 is B. Here is why: So the cost for 6 pens is $2.34. So, you want to find the unit rate. The unit rate basically, in this case, would be how much on pen costs. So to find how much one pen costs you would divide 6 into $2.34. That would give you .39¢. Now to find out how much 20 pencils would cost you would multiply .39¢ by 20. This would give you $7.80. Do you see it now? I hope this could be helpful!
Answer:
73
Step-by-step explanation:
If you are to use Order of Operations, which most people know as PEMDAS, you come up with the following answer.
I will show my work below. Refer to it if you need to.
4x^2+5^2
16x+25
x=3, so 48 + 25
73
