Answer:
x = 5
Step-by-step explanation:
Simplify. First, combine like terms:
3x - x + 2 = 12
(3x - x) + 2 = 12
(2x) + 2 = 12
2x + 2 = 12
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS =
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
& is your order of operation.
First, subtract 2 from both sides:
2x + 2 (-2) = 12 (-2)
2x = 12 - 2
2x = 10
Next, divide 2 from both sides:
(2x)/2 = (10)/2
x = 10/2
x = 5
5 is your answer for x.
Check: Plug in 5 for x in the equation. Solve:
3(5) - (5) + 2 = 12
15 - 5 + 2 = 12
10 + 2 = 12
12 = 12 (True)
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Because it is BELOW sea level after 10 minutes, it straight away cannot be A) or B), because ascended means going up, so it has to be either C) or D).
I believe the answer is C), as the answer for D) would be -40 meters per minute, but it's still 40. I'm not sure though, so it's either C) or D).
Answer:176 psychology textbooks and 98 Biology textbooks were sold.
Step-by-step explanation:
Let x represent the number of psychology textbooks that were sold.
Let y represent the number of biology textbooks that were sold.
textbook store sold a combined total of 274 psychology and biology textbooks in a week. This means that
x + y = 274 - - - - - - - - - - -1
The number of psychology textbooks sold was 78 more than the number of biology textbooks sold. This means that
x = y + 78
Substituting x = y + 78 into equation 1, it becomes
y + 78 + y = 274
2y = 274 - 78
2y = 196
y = 98
x = y + 78 = 98 + 78
x = 176
Answer:
64
Step-by-step explanation:
Euclide's theorem states that in a right triangle, the square built of the side lenght is equivalent of the rectangle with sides hypotenuse and projection of the same side lenght. In formula, given the measures on the triangle:
