Answer:
and 
Step-by-step explanation:
Given that 
and 
, the parametric equations are obtained by algebraic means:
1) Given
2) 
Given
3) 
Associative and modulative properties
4) ![y = 5\cdot \left[(-1)^{-1} \cdot (-1)\right]\cdot x +11](https://tex.z-dn.net/?f=y%20%3D%205%5Ccdot%20%5Cleft%5B%28-1%29%5E%7B-1%7D%20%5Ccdot%20%28-1%29%5Cright%5D%5Ccdot%20x%20%2B11)
Existence of multiplicative inverse/Commutative property
5) ![y = [5\cdot (-1)^{-1}]\cdot [(-1)\cdot x]+11](https://tex.z-dn.net/?f=y%20%3D%20%5B5%5Ccdot%20%28-1%29%5E%7B-1%7D%5D%5Ccdot%20%5B%28-1%29%5Ccdot%20x%5D%2B11)
Associative property
6) 
/ 
7) 
Modulative property
8) ![y = -5\cdot [-x + 2 + (-2)]+11](https://tex.z-dn.net/?f=y%20%3D%20-5%5Ccdot%20%5B-x%20%2B%202%20%2B%20%28-2%29%5D%2B11)
Existence of additive inverse
9) ![y = -5 \cdot [(2-x)+(-2)]+11](https://tex.z-dn.net/?f=y%20%3D%20-5%20%5Ccdot%20%5B%282-x%29%2B%28-2%29%5D%2B11)
Associative and commutative properties
10) 
Distributive property
11) 
12) 
By 1)
13) 
/Result
14) 
Compatibility with addition
15) 
Compatibility with addition
16) ![[t+(-t)]+x= 2 + [x+(-x)]+(-t)](https://tex.z-dn.net/?f=%5Bt%2B%28-t%29%5D%2Bx%3D%202%20%2B%20%5Bx%2B%28-x%29%5D%2B%28-t%29)
Associative property
17) 
Associative property
18) Associative and commutative properties/Definition of subtraction/Result
In consequence, the right answer is and .
600 miles / 27 miles per gallon = 22.22 gallons
22.22 * 1.99 = $44.22 total cost
Answer:
Ed has traveled for 3 hours and 17 minutes, and has 2 hours and 28 minutes left to travel.
Step-by-step explanation:
Given that Ed is on a road trip and he has already traveled 201 miles and is driving at a rate of 61 mph, the equation could be used to find how many hours he has traveled and how many and has left in his road trip traveling 697 total miles is the next:
201/61 = 3.29
100 = 60
29 = X
29 x 60/100 = X
29 x 0.6 = X
17.4 = X
So, Ed has traveled for 3 hours and 17 minutes.
697 - 201 = 496
496/201 = 2.46
100 = 60
46 = 0
46 x 0.6 = X
27.6 = X
Thus, he has 2 hours and 28 minutes to travel.
Answer:
a.) First check on the height of the bar that ranges between 20 and 24 which is 6. The 6 is the number of students who bought 20 books or more, so get the percentage of those students who bought 20 or more books; divide 6 which is the number of students who bought 20 books or more with the total number of students which is 40 then multiply with 100.
% of students who bought 20 or more books = 6/40 ×100
=15
Step-by-step explanation:
b.) Find the area of a trapezium
= 1/2 × {a+b} × h
= 1/2 × {9 + 13} ×12
= 132
= 1/2 × {13 + 6} × 12
= 108
Mean no. of books bought = 132 + 108
= 240
