Answer:
12*k=84
k = 7
Step-by-step explanation:
Product means multiply and is means equals
12*k=84
Divide each side by 12
12k/12 = 84/12
k = 7
K is less than 12, so if you put k first, it would be written as k < 12.
However, you are needing to use >.
Therefore the answer is
12 > k (This says that 12 is greater than k, but it can also be said as k is less than 12, if read backwards)
To solve the problem we will use this equation where,
d will be distance.
<span>x is the speed of the plane without tailwind. </span>
<span>y is the speed of the wind affecting the plane.</span>
Going to Philadelphia the speed of the plane affected by wind will be x-y=220 miles/hr
Coming back with a tailwind, the speed of the plane will be x+y= 280 miles/hr.
since time = distance / speed, t1 =d/220 and t2 = d/280
and since the total time traveled is 6.5hrs
d/220 + d/ 280 = 6.5hrs
d = 800.8 miles x 2 (back and forth trip) the answer is 1601.6 miles
Answer:
x = -6
Step-by-step explanation:
Solve for x:
2 (3 x - 4) = 4 (x/2 - 8)
Put each term in x/2 - 8 over the common denominator 2: x/2 - 8 = x/2 - 16/2:
2 (3 x - 4) = 4 x/2 - 16/2
x/2 - 16/2 = (x - 16)/2:
2 (3 x - 4) = 4 (x - 16)/2
4/2 = (2×2)/2 = 2:
2 (3 x - 4) = 2 (x - 16)
Divide both sides by 2:
3 x - 4 = x - 16
Subtract x from both sides:
(3 x - x) - 4 = (x - x) - 16
3 x - x = 2 x:
2 x - 4 = (x - x) - 16
x - x = 0:
2 x - 4 = -16
Add 4 to both sides:
2 x + (4 - 4) = 4 - 16
4 - 4 = 0:
2 x = 4 - 16
4 - 16 = -12:
2 x = -12
Divide both sides of 2 x = -12 by 2:
(2 x)/2 = (-12)/2
2/2 = 1:
x = (-12)/2
The gcd of -12 and 2 is 2, so (-12)/2 = (2 (-6))/(2×1) = 2/2×-6 = -6:
Answer: x = -6
