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Home Question Bank Math Algebra Archive 2024 December 14

Algebra Questions from Dec 14,2024

Browse the Algebra Q&A Archive for Dec 14,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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a. \( 1=\frac{1}{2}+\square \) c. \( 1=\frac{1}{16}+\square \) 15. Solve the equation. There will be more than one correct answer. \( t^{2}-24=0 \) \( t= \) 14. Solve the equation. There will be more than one correct answer. \( x^{2}-12=0 \) \( x= \) \( Y \) is between \( X \) and \( Z . X Y=7 X+1, Y Z=2 X+7 \) and \( X Z=98 \). Find the value of ' \( X \) '. Set up this equation and solve: \( (2 x+2)+(3 x-7)+35=180 \) \( x= \) pontos): Determine a seguinte equação: \[ \sqrt[x]{16^{x+1}}=32^{x-3} \] 2,0 pontos): Determine a seguinte equaçāo: \[ \sqrt[x]{16^{x+1}}=32^{x-3} \] Matt has three times as many stickers as David. If David has d stickers and Matt has m stickers, and Matt gives David 11 stickers, how many stickers does each have in lems of d? In terms of d, how many stickers does Matt have, after giving David 11 stickers? \( 6 \mathrm{~d}-11 \) (Type an expression using \( d \) as the variable.) In terms of d, how many stickers does David have, after getting 11 stickers from Matt? d+11 (Type an expression using d as the variable.) If the number of professors in a college is P and the number of students S , and there are 11 times as many students as professors, write an algebraic equation that shows the relationship. John paid \( \$ 270 \) for a new mountain bicycle to sell in his shop. He wants to price it so that he can offer a \( 10 \% \) discount but still make \( 20 \% \) of the price he paid for it. At what price should the bike be marked? The bike should be marked for \( \$ 360 \). (Round to the nearest dollar as needed.)
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