Answer:
Correct answer is 0.67
Step-by-step explanation:
The question being the case, the equation is: 8x + 6y = 136.
Where x is the number of hours spent on job A and y is the number of house spent on job B. Now to solve for both variables.
Notice that if you add x and y, you should get a total of 20 hours so x + y = 20.
To get x, x = 20 - y. Replace the answer on the original equation gives you 8(20-y) + 6y = 136.
160 - 8y + 6y = 136
160 - 2y = 136
-2y = 136 - 160
-2y = -24
<span>Solve for y by dividing both sides of this equation by -2 to get y:
y = 12
Replace y on the x + y = 20 equation to get x.
x + 12 = 20
x = 20 = 12
x = 8
Therefore:
x = 8 hours on job A
y = 12 hours on job B
Hope this helps!</span>
Completely factored it is (12x^2 + 4)(x-5)
Answer:
∠ C = ∠BCD = 30°
Step-by-step explanation:
∠ EDF = ∠GFC = 110° [ corresponding angles ]
Now consider triangle BCF
∠FBC + ∠ABC = 180° [ straight line angle ]
∠FBC + 100° = 180°
∠FBC = 180 - 100 = 80°
∠BFC + ∠GFC = 180° [ straight line angle ]
∠BFC + 110° = 180°
∠BFC = 180 - 110 = 70°
Sum of angles of triangle is 180°
Therefore , in triangle BCF
That is ,
∠F + ∠B + ∠ C = 180°
70° + 80° + ∠C = 180°
∠C = 180 - 150 = 30°
Answer:
$77.18
Step-by-step explanation:
A = total amount
P = principal
I = interest
A = P(1 + r/n)^n·t
A = 70(1+.05)²
A = 70(1.05)²
A = 77.175
I = A - P
