The student's error was in first step where he added -0.72 instead of 0.72
Step-by-step explanation:
Given equation;
z + (-0.72) = -2.5
When solving for z, eliminate the other numbers from one side.
Step 1: z + (−0.72) + (−0.72) = −2.5 + (−0.72)
In this step, the student should have added 0.72 because -0.72 was already present in the equation and to eliminate it, he should have add same number with opposite sign.
According to this Step, -0.72 and -0.72 would have been added, because according to mathematics, two numbers with minus sign are added and the sign remains same.
The student's error was in first step where he added -0.72 instead of 0.72
Keywords: addition, subtraction
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Answer:
140
Step-by-step explanation:
I think you mean "lowest common denominator" where you use the word "benchmark."
The LCD of 3/7 and 16/20 is 140; 140 is the smallest number evenly divisible by both 7 and 20.
Then 3/7 → 60/140 and 16/20 → 112/140. 112/140 is between 1/2 and 1.
Answer:
2x+3+7x=-24 (combine like terms)
9x+3=-24
9x=-27
x=-3
Step-by-step explanation:
9/13 is the simplest form
The correct answer is 
Write the problem in long division format,
Divide 74 by 11 to get 6,
Multiply the quotient digit (6) by the divisor 11,
Subtract 66 from 74,
Bring down the next number of the dividend,
Divide 86 by 11 to get 7,
Multiply the quotient (7) by the divisor 11,
subtract 77 from 86.