First Step: We are simplifying the left-hand side by multiplying the coefficient to the (2x + 9)
Second Step: We subtract 30x from both sides to get all the x's on one side
Third Step: We add (or subtract in this case) like terms, which in this case you're taking 30x <u>from</u> 150x
Fourth Step: You subtract the remaining constant (675) from both sides to isolate your variable (x) on one side
Fifth and Final Step: You divide both sides by x's coefficient, 120, to get the value of x by its self
The statement (d) Alaric's maths grade is the response variable is correct because maths grade is a dependent variable.
<h3>What is an explanatory variable?</h3>
It is defined as the variable which is independent. They show the expected results and the result is known as the response variable which is dependent on the explanatory variable.
We have given:
Alaric wants to determine if he can get a better grade in maths by studying for longer periods of time.
The duration of the experiment is 4 weeks which is known or constant.
But the number of hours she studied is a variable, and it is independent.
The maths grade is the dependent variable which is on the number of hours Alaric study variable.
Thus, the statement (d) Alaric's maths grade is the response variable is correct because maths grade is a dependent variable.
Learn more about the explanatory variable here:
brainly.com/question/19522839
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Large Rectangles: 2 x 3 x 6
Medium Rectangles: 2 x 2 x 6
Small Rectangles: 2 x 2 x 3
Surface Area: 72 cm^2
1 cm = 1.5 feet
18 x 1.5 = 27
24 x 1.5 = 36
27 + 36 = 63
Therefore, 63 feet in area. =^)
Looks like the answer might be around 20 i think