Complete question:
Kyle incorrectly says that the product of - ( - 6 ) # ( - 1 ) is 6 . 11. After a recycling awareness program, the number of tons of recyclable material taken to the landfill is reduced by 13 7/10 tons per month. Represent the total change in the tons of recyclable material taken to the landfill after 7 months resulting from the awareness program a. What is the correct product? 10 month. Represent the total change in the b. What was Kyle's likely error?
Answer:
Kindly check explanation
Step-by-step explanation:
Given that :
Kyle incorrectly says that the product of - ( - 6 ) ( - 1 ) is 6
-(-6)(-1) = 6 [incorrect]
Correction:
-(-6) (-1) :
- (-6) = 6
6 (-1) = - 6
Given that reduction in materials = 13 7/10 tons per month
Monthly reduction = 13 7/10 = 137/10 tons
After 7 months : (7 * 137/10) = 959/10 tons = 95.9 tons
Change in amount of material taken to the land fill:
Initial amount - amount after 7 months
If initial amount = x
Change in amonnt = (x - 95.9) tons
Please look at the attached file
Answer:
41/6 lb
Step-by-step explanation:
Start with the original problem
5 11/6
1.) Learn the parts of the mixed number. In this case, 5 is a whole number, 11 is a numerator, and the 6 is the denominator.
2.) to turn a mixed number into an improper fraction or a whole number, multiply the denominator times the whole number (6 * 5 = 30) then add the numerator to the value you got (30 + 11 = 41)
3.) If the improper fraction can be simplified then you will most likely need to go ahead and simplify it. In this case, 6 doesn't factor into 41 so you would keep it as 41/6.
Answers:
Part A: The value of x must be 0
Part B: The value of x can be any real number
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Explanation:
Part A) We have the equation (7^2)^x = 1 which simplifies to 7^(2x) = 1. The only way to get the left side equal to the right side is to have the exponent of 2x equal zero. If 2x = 0, then x = 0. So that's why x = 0 is the only solution here.
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Part B) Similar to part A above, but the exponent is slightly different now. We have (7^0)^x = 1 which turns into 7^(0*x) = 1. The exponent 0*x is really 0 no matter what x is. We can plug in any real number we want for x and the left side will always be 1. This is why the solution set to this equation is the set of all real numbers.
Answer:
62.2
Step-by-step explanation:
62.20 rounded to the nearest tenth will be 62.2, because .2 is the tenth place. No need to rise the 2 up to 3 because the hundredth place is below 5