Answer: x = -14/5
Step-by-step explanation: We shall begin by expanding the brackets for both sides of the equation
-2/3 (x + 2) = 1/6 (x + 6)
(-2x/3) -4/3 = (x/6) + 1
By collecting like terms we now have
(-2x/3) - (x/6) = 1 + 4/3
(-4x - x)/6 = 7/3
-5x/6 = 7/3
By cross multiplication we now have
-5x (3) = 7 (6)
-15x = 42
x = -(42/15) {simplify further by dividing the RHS by 3}
x = -14/5
Therefore x equals, minus fourteen over five (-14/5)
Each face has a chance of 1/6
So you beed 6 rolls
Answer:
373.8mmHg
Step-by-step explanation:
a =height (in km) above sea level,
the pressure P(a) (in mmHg) is approximated given as
P(a) = 760e–0.13a .
To determine the atmospheric pressure at 5.458 km, then we will input into the equation
P(5.458km) = 760e–0.13a .
= 760e^(-0.13×5.458)
=760e^-(0.70954)
= 760×0.4919
=373.8mmHg
Therefore, the atmospheric pressure at 5.458 km is 373.8mmHg
Right now you have a/3 = 7. You cannot know what a is yet because it is being divided by 3.
You just need to figure out a way of getting rid of that 3 so you just have a by itself. The way you can get rid of the 3 is by multiplying a/3 by 3, as that will just leave you with a (multiplying is the opposite of dividing so it cancels out).
However, as you’re multiplying a/3 by 3, you also have to multiply 7 by 3 (which is 21) as you have to do the multiplication on both sides of the equation.
Therefore, you’re left with a = 21
