Answer: B) x + y = 17
1.60x + 2.45y = 34
Step-by-step explanation:
Cost of x = $1.60 per pound
Cost of y = $2.45 per pound
Total pounds of x and y = 17
Cost per pound of mixture = $2
Total number of pounds of the mixture :
x + y = 17
Since the cost per pound of the mixture = 2
Hence ;
(Cost of x * number of pounds of x) + (Cost of y * number of pounds of y)
(1.60 * x) + (2.45 * y) = (cost per pound of mixture * total number of pounds of the mixture)
1.60x + 2.45y = 2 * 17
1.60x + 2.45y = 34
5x - 2y + 1z = 8 ⇒ 5x - 2y + 1z = 8
-9x + 2y + 2z = 5 ⇒ -9x + 2y + 2z = 5
-9x - 2y - 5z = 4 -4x + 3z = 13
5x - 2y + 1z = 8
-9x + 2y + 2z = 5 ⇒ -9x + 2y + 2z = 5
-9z - 2y - 5z = 4 ⇒ -9x - 2y - 5z = 4
-18x - 3z = 9
-4x + 3z = 13
-18x - 3z = 9
-22x = 22
-22 -22
x = -1
-18x - 3z = 9
-18(-1) - 3z = 9
18 - 3z = 9
- 18 - 18
-3z = -9
-3 -3
z = 3
5x - 2y + z = 8
5(-1) - 2y + 3 = 8
-5 - 2y + 3 = 8
-2y - 5 + 3 = 8
-2y - 2 = 8
+ 2 + 2
-2y = 10
-2 -2
y = -5
(x, y, z) = (-1, -5, 3)
Common factor of 20= 1,2,4,5,10.......
common factor of 35=1,5,7.............
so here we find that 1 and 5 r the common factors
but the GCF of 20 and 35 is 5
so,
by using GCF the distributive property is : 5(4+7)
I think the correct answer from the choices listed above is option C. <span>Two lines are perpendicular, and neither line is horizontal so it must be that the slopes of the lines are opposite reciprocals, one slope is positive and the other has a negative slope. Having different slopes so they should intersect the y-axis at different values.</span>
