Step-by-step explanation: Given that there are two spray paint machines. The first machine (nicknamed "Paint Pro") is used for two hours and the second machine (nicknamed "Goldilocks") is used for an hour and a half. When they are working at the same time, they can paint 55 square feet per minute and together they painted 5850 square feet of wall.

Let 'x' and 'y' sq.ft/min be the portion of the wall painted by Paint Pro and Goldilocks respectively.

Then, according to the question, we have

$x+y=55,\\\\120x+90y=5850~~\Rightarrow 4x+3y=195.$

Multiplying first equation by 4 and subtracting the second equation from it, we have

$4y-3y=220-195\\\\\Rightarrow y=25,$

and

$x=55-25=30.$

Thus, Paint Pro will paint 30 sq.feet per minute and Goldilocks will paint 25 sq.ft per minute.

4 0

2 years ago

Two sailboats leave Key Largo, Florida. One of the sailboats travels 3 miles east and then 4 miles north. The second sailboat tr

jolli1 [7]

Check the picture below.

3 0

1 year ago

Which equation represents the graph of the linear function?

forsale [732]

I think you forgot to attach the graph along with the question. I am answering the question based on my knowledge and research. "y = −2x − 1" is the one equation among the following choices given in the question that represents the graph of the linear function. The correct option among all the options that are given in the question is option "B".

7 0

2 years ago

Select all of the following that are quadratic equations.

sleet_krkn [62]

The name Quadratic comes from "quad" meaning square, because the variable gets squared (like x2). However, it is important to not that an expression is only quadratic if and only if the highest degree of a term is 2. Therefore, the quadratic equations from the pool of choices would be as follows:

3x^2 + 5x - 7 = 0
5x^2+ 15x = 0
x^2 - 4x = 4x + 7

3 0

2 years ago