(8y + 2) + (25y - 20) = 180 {interior angles on the parallel lines add up to 180)
Remove brackets:
8y + 2 + 25y - 20 = 180
Combine like terms:
33y - 18 = 180
Add 18 to both sides:
33y = 198
Divide both sides by 33:
y = 6
Answer: y = 6
(10x) + (8y + 2) = 180 {Adjacent angles on a straight line add up to 180)
Plug y = 6 into the equation:
(10x) + (8(6) + 2) = 180
Evaluate the bracket:
10x + 50 = 180
Subtract 50 from both sides:
10x = 130
Divide both sides by 10:
x = 13
Answer: x = 13
Deal with the numbers first
GCF of 16, 40 and 68 is 4
there is no GCF of the variables
so required GCF is 4
Answer:
(-1, -7) (0, -1) (1, 5) (5, 29)
Step-by-step explanation:
okay so the equation is y = 6x - 1
all you have to do is plug in all the x values to get the y
y = 6(-1) - 1
y = - 6 - 1
y = -7
y = 6(0) - 1
y = 0 - 1
y = -1
y = 6(1) - 1
y = 6 - 1
y = 5
y = 6(5) - 1
y = 30 - 1
y = 29
Answer:
62 oz
Step-by-step explanation:
Let the volume of water to add be x so that the new volume will be (30+x) oz
The new concentration is now 15%, expressed in decimal as 0.15 and it is found by dividing the initial concentration by new volume
![\frac {0.46*30}{30+x}=0.15\\\frac {0.46*30}{0.15}=30+x\\92=30+x\\x=62](https://tex.z-dn.net/?f=%5Cfrac%20%7B0.46%2A30%7D%7B30%2Bx%7D%3D0.15%5C%5C%5Cfrac%20%7B0.46%2A30%7D%7B0.15%7D%3D30%2Bx%5C%5C92%3D30%2Bx%5C%5Cx%3D62)
The volume of water to add is equal to 62 oz
36) <span>5(2 + 7k)(-2 + 7k)
39) </span><span>8(5 + b)(5 + b)</span>