Consider the expression 8 ā€“ 4 / 2. One student says the answer is 2 and another says it is 6. Which student is correct? Explain what went wrong with the student who made a mistake.


Answer 1


It is 6. The student who got a two did not use order of operations.

Step-by-step explanation:


You must do division before subtraction. 4/2 = 2.

8 - 2 = 6

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Translate the sentence into algebraic symbols.If a number is increased by 27 and then the sum is multiplied by seven, the
result is 150.


9514 1404 393


  7(x +27) = 150

Step-by-step explanation:

Let x represent the number.

  "a number increased by 27" . . . . x +27

  "the sum multiplied by 7" . . . . . 7(x +27)

  "the result is 150" . . . . . . 7(x +27) = 150

I will really appreciate the help because iā€™m stuck and need this as soon as possible This problem uses the notion that to find the closest distance from a point to a line we need the perpendicular line joining them. The idea is that the plane is heading in some direction, if we treat the takeoff point as the origin (0,0), we can make an equation of a line to the destination. Then we need to take the slope of that line, find its negative reciprocal to build a perpendicular slope, and then use that new perpendicular slope and the point where the mountain is to make a NEW line. Then we find the intersection of these two lines, a system of equations, (preferably by an algebraic process like substitution or elimination) to find the time at which the plane will be closest to the mountain on its path toward its destination.

the problem:

You're flying from Joint Base Lewis-McChord (JBLM) to an undisclosed location 245 km south and 237 km east. Mt. Rainier is located approximately 56 km east and 40 km south of JBLM. If you are flying at a constant speed of 800km / hr how long after you depart JBLM will you be the closest to Mt. Rainier?