Answer:
x = -2
Step-by-step explanation:
Add 0.75x to both sides of the equation.
-0.75x -2 = 0.25x . . . . . given
-0.75x +0.75x -2 = 0.25x +0.75x
-2 = 1.00x . . . . simplify
x = -2
X would be -3, -2*12 then divide 8
Answer: 30 couples.
Justification:
You can follow a systematic approach to tackle this kind of problems.
Construct a chain of ratios whose units cancel out to yield to a result with the right units of the answer you are looking for.
In this case you want to know the number of couples that took the ride in 30 minutes.
The input data are:
1 couple / seat
1 seat / minute
Then, by multiplying those two data you get: [1 couple / seat] * [1 seat / minute], which, treating the units appropiately yields to 1 couple / minute.
Next, you realize that when you muliply 1 couple / minute times the number of minutes you get the number of couples that took the ride in that time.
So, the answer is: 1 couple / minute * 30 minute = 30 couples (the minutes cancel out because they appear in the denominator and numerator).
So, when you work with ratios and proportions, the use of units helps you a lot to figure out the way to get the answer.
Cofunctions in trigonometry are function pairs like sine and cosine
Examples:
sin(π/2 - x) = cos(x), cos(π/2 - x) = sin(x), tan(π/2 - x) = cot(x), and cot(π/2 - x) = tan(x)
Purpose:
The cofunction identities show the relationship between sine, cosine, tangent, cotangent, secant, and cosecant. The value of an angle's trig function equals the value of the angle's complement's cofunction
Answer:
35
Step-by-step explanation:
37 + x = 72
x = 72 - 37
x = 35
