The first step in solving this question is to split the journey into 2 parts. In the first part of the journey, miles are covered at a speed of 40 mph. In the second part the journey 5 miles are covered at a speed of 60 mph.
The equation to compute the time of a journey given the speed and distance is where is the time, is the speed and is the distance.
The time for the first part of the journey is calculated as shown below,
.
The time for the second part of the journey is calculated as follows,
.
The total time is the sum of the times taken to cover each part of the journey and is calculated as shown below,
The time to cover the journey is a third of an hour or 20 minutes.
So firstly, you want to multiply both sides by (x-2)(x+2) since it is the LCM, or lowest common multiplier. Your equation will look like this:
Next, you can cancel out the denominators on 3/x+2 and 4/x-2 on the left side:
Next, foil:
Next, combine like terms:
Next, add x + 14 on both sides:
Next, replace x with -5x + 6x:
Next, factor 5x^2-5x and 6x-6 separately. Make sure that both factors have the same quantity within the parentheses:
With this, we can rewrite it as From here, we solve for x in (5x+6) and (x-1) separately and setting them to zero.
In short, x = -1.2, 1.
Answer:
Brooklyn is more expensive
Step-by-step explanation:
Answer:
x = 8
y = 21
Step-by-step explanation:
The angle (7x + 12)° and the angle (12x-28)° are alternate interior angles and so has got the same measurement
7x + 12 = 12x - 28
12 + 28 = 12x - 7x
40 = 5x divide both sides by 5
8 = x
The sum of angle (12x - 28)° and (9y - 77)° must be equal because they make a straight line with the measure of 180°
12x - 28 + 9y - 77 = 180 we already found the value of x as 8 so let's rewrite the equation
12 × 8 - 28 + 9y - 77 = 180
96 - 28 - 77 = 180 add like terms
9y - 9 = 180
9y = 189 divide both sides by 9
y = 21
You combine the numbers that have the same letter attached to them. Then you add or subtract the bumbers from each other to. After that you make the numbers and the numbers with letters into one equation
Ex: 13+5r+7r= 13+12r
Step-by-step explanation:
2w+w=3w If theres a letter by itself it means theres a 1.