The variable for Maggie will be M and 2x-3 be her younger brothers age (<u>Twice her age). </u>We then would turn this into <u>an algebraic problem</u>. (m+2x -3=24).
3x-3=24, we would add 3 to both sides (-3 and 24). 24 + 3 equals 27, we now have to divide -3x and 27 on both sides, which equals <u>9. (x=9)</u>
Given the equation 9x = -63, the numerical value of x is -7.
<h3>What is the solution to the given equation?</h3>
Given the equation in the question;
9x = -63
To determine the value of x, we divide both sides by the coefficient of x.
9x = -63
9x/9 = -63/9
x = -7
Given the equation 9x = -63, the numerical value of x is -7.
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Problem 3
The constant term is 290. This is the term that stays the same no matter what the value of 'a' happens to be. Contrast this with the variable term 2.50a which changes if 'a' changes (hence the name "variable" for "vary" or "change")
If Mike sold 0 accessories, then a = 0 and the expression would be
2.50*a + 290 = 2.50*0 + 290 = 290
Selling 0 accessories leads to $290. This is the amount he is guaranteed with the 2.50a portion being additional money to motivate him to sell more.
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Answer: Choice (3) 290, amount he is guaranteed
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Problem 4
Plug y = 0 into the equation. Solve for x
9x - 14y = -3
9x - 14*0 = -3 .... replace y with 0
9x - 0 = -3
9x = -3
9x/9 = -3/9 ... divide both sides by 9
x = -3/9
x = -1/3
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Answer: Choice (3) which is -1/3
For this case we can make use of the Pythagorean theorem.
We have then:
(root (117)) ^ 2 = x ^ 2 + 6 ^ 2
Clearing x we have:
x ^ 2 = (root (117)) ^ 2 - 6 ^ 2
Rewriting:
x = root (117-36)
x = root (81)
x = 9
Answer:
The value of x is given by:
x = 9 cm
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