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
Answer:
You can use Gaussian Elimination.
Double both sides of the first equation and add the second equation.
6x + 4y = 8
5x - 4y = 3
---------------
11x = 11
x = 1
5 - 4y = 3
-4y = -2
y = 1/2
Step-by-step explanation:
We are given with three sides with measurements such as below:
a = 3.5 cm
b = 5.5 cm
c = 6 cm
We are asked to solve for m∠C. To solve this we need to apply Law of Cosines such as below:
cos C = a²+b² - c² /2ab
cos C = 3.5² + 5.5² -6² / (2*3.5*5.5)
cos C = 0.16883
C = 80.28°
5x^2+3xy-25x-15y= 5x^2-25x+3xy-15y=
5x(x-5)+3y(x-5)=
= (x-5)(5x+3y)
Answer:
length, width, and height are (b+2), (b-2), (b+3)
Step-by-step explanation:
Doing what the problem statement tells you to do, you get ...
(b^3 +3b^2) -(4b +12)
= b^2(b +3) -4(b +3) . . . . . factor each pair of terms
= (b^2 -4)(b +3) . . . . . . . . . write as a product
= (b -2)(b +2)(b +3) . . . . . . use the factoring of the difference of squares
The three factors are (b-2), (b+2), and (b+3). We have no clue as to how to associate those with length, width, and height. We just know these are the dimensions of the box.
Step-by-step explanation:
