Solve −3 = x/4 + 5 using the replacement set {−32, 8, 32} .
2 answers:
Answer:
A
Step-by-step explanation:
substitute the values from the replacement set into the right side of the equation to find which values of x make the equation true.
x = - 32
+ 5 = - 8 + 5 = - 3 ← True
x = 8
+ 5 = 1 + 5 = 6 ≠ - 3 ← False
x = 32
+ 5 = 8 + 5 = 13 ≠ - 3 ← False
the solution is therefore x = - 32
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Answer:
21 students pass
Step-by-step explanation:
Firstly, you can set up the problem into an equation where the variable X would equal the number of students passing. You put X over the total number of students in the class, turning it into a fraction, then set it equal to the fraction (which is 75% represented as a fraction).
The fraction can be simplified, because 75 and 100 are both multiples of 25, so after canceling out the 25s you would be left with
.
Next, you use the process of cross multiplication which is essentially just multiplying the denominators of both fractions (which would be 28 and 4 in this case) to each side of the equation.
The denominators cancel out leaving you with a simple equation to simplify.
Finally, divide both sides by four in order to isolate the variable.
X = 21.