Answer:
Step-by-step explanation:
If J can paint a room in 3 hours, in 1 hour she gets of the job done.
If A can paint a room in 4 hours, in 1 hour she gets of the job done. We need to find out how long it takes them if they paint together. The equation for this is:
where x is the number of hours it takes them to get the job done together. Multiply everything through by 12x to get
4x + 3x = 12 so
7x = 12 and
x = 1.7 hours to get the room painted together.
Answer:
B
Step-by-step explanation:
Answer:
I Graphed It
Step-by-step explanation:
Answer:
There are two possibilities:
and
and
Step-by-step explanation:
Mathematically speaking, the statement is equivalent to this 2-variable non-linear system:
First, is cleared in the first equation:
Now, the variable is substituted in the second one:
And some algebra is done in order to simplify the expression:
Roots are found by means of the General Equation for Second-Order Polynomials:
and
There are two different values for :
There are two possibilities:
and
and
We can model the equation:y = m x + b, where y is the total profit and x is the number of hotdogs sold.The system of equations is:
90 = 40 m + b210 = 80 m + b---------------------b = 90 - 40 m210 = 80 m + 90 - 40 m210 - 90 = 40 m120 = 40 mm = 120 : 40m = 3b = 90 - 40*3b = 90 - 120b = - 30Answer: The equation is y = 3 x - 30