The number of people attended dinner is 102.
<h3>What is an Equation ?</h3>
An equation is a mathematical statement when two algebraic expressions are equated by an equal sign.
It is given in the question that
An awards dinner costs $225 plus $5 for each person making reservations
the total bill is $735
people attended the dinner = ?
Let x number of people attended the dinner
$225 + $5 * x = $735
5x = 735-225
5x = 510
x = 102
Therefore , 102 people attended the dinner.
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4 multiplied by 14 gives you 56 so its 14
The solution of the given equation is -6 and 1.
<h3>What is Quadratic Equation?</h3>
A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax² + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term.
Here, given equation:
(x+2)(x+3) = 12
x(x+3)+2(x+3) = 12
x² + 3x + 2x + 6 = 12
x² + 5x + 6 - 12 = 0
x² + 5x - 6 = 0
x² + 6x - x - 6 = 0
x(x+6) -1(x+6) = 0
(x+6)(x-1) = 0
Now, x + 6 = 0 or x - 1 = 0
x = -6 or x = 1
Thus, the solution of the given equation is -6 and 1.
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Answer:
The dependent variable for this experiment is the ability of students with similar intellectual abilities to recall the meaning of a symbol in a textbook one week after the start of the experiment which depends on the presence or absence of noise outside the classroom.
Step-by-step explanation:
In an experiment, the independent variable is the one whose value, form or outcome is not determined by any other variable in the experiment.
The dependent variable is the one whose value, form or outcome is determined by one or more other variable(s) in the experiment.
This experiment tests the abilities of students with similar intellectual abilities to recall the meaning of a symbol in a textbook one week after the start of the experiment.
This ability was made to depend on whether there was noise or no noise outside their classrooms.
Since, this variable to be measured is determined by another variable in the experiment, it is evident that this is the dependent variable for this experiment.
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