Answer:
Find S: IF q = 4, and r = 6, then S = 2 when S = 8q - 5r.
Find q: IF S = 42, and r = 6, then q = 9 when S = 8q - 5r.
Step-by-step explanation:
Answer the questions as If-then statements:
Note that the given equation is S = 8q - 5r.
There are two parts to this question. The first is asking based on the rule that q = 4, r = 6.
Remember to follow PEMDAS. PEMDAS is the order of operations, and stands for:
Parenthesis
Exponents (& Roots)
Multiplications
Divisions
Additions
Subtractions
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Plug in the corresponding numbers to the corresponding variables in the given equation:
S = 8q - 5r
q = 4, r = 6
S = 8(4) - 5(6)
First simplify, by multiply 8 with 4 and -5 with 6, respectively.
S = (8 * 4) - (5 * 6)
S = 32 - 30
(Next, subtract).
S = 32 - 30
S = 2
IF q = 4, and r = 6, then S = 2 when S = 8q - 5r.
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Plug in the corresponding numbers to the corresponding variables in the given equation:
S = 8q - 5r
S = 42 , r = 6
42 = 8(q) - 5(6)
First, simplify, by multiplying 8 with q, and -5 with 6, respectively.
42 = (8 * q) + (-5 * 6)
42 = 8q - 30
Next, isolate the variable, q. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. First, add 30 to both sides of the equation:
42 (+30) = 8q - 30 (+30)
42 + 30 = 8q
8q = 72
Next, divide 8 from both sides of the equation:
8q = 72
(8q)/8 = (72)/8
q = 72/8
q = 9
IF S = 42, and r = 6, then q = 9 when S = 8q - 5r.
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