Afactory has three types of machines, each of which works at its own constant rate. if 7 machine as and 11 machine bs can produce 250 widgets per hour, and if 8 machine as and 22 machine cs can produce 600 widgets per hour, how many widgets could one machine a, one machine b, and one machine c produce in one 8-hour day?
a. 400
b. 475
c. 550
d. 625
e. 700

A. 400

Step-by-step explanation:

Although it seems a difficult at first, this problem can be solved in fairly simple manner. First, write down the equations given by the problem:

There we have 3 unknown values and only 2 equations so it can't be solved as a common system problem. However, if we double the first equation and add it to the second one, it yields:

Therefore, one machine A, one Machine B, and one Machine C produce 50 widgets per hour, so in one 8-hour day they produce:

triangle and cube

step-by-step explanation:

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c