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Home Question Bank Math Algebra Archive 2024 November 17

Algebra Questions from Nov 17,2024

Browse the Algebra Q&A Archive for Nov 17,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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0. \( \left\{\begin{array}{l}\frac{x-2}{4}-\frac{y-x}{2}=x-7 \\ \frac{3 x-y}{8}-\frac{3 y-x}{6}=y-13\end{array}\right. \) Jen Butler has been pricing Speed-Pass train fares for a group trip to New York. Three adults and four children must pay \( \$ 109 \). Two adults and three children must pay \( \$ 77 \). Find the price of the adults ticket and the price of a child's ticket. A first number plus twice a second number is 20. Twice the first number plus the second totals 22 . Find the numbers. The smaller of the two numbers is 6 . The larger of the two numbers is A first number plus twice a second number is 20. Twice the first number plus the second totals 22 . Find the numbers. The smaller of the two numbers is Use the properties of exponents to simplify the following as much as possible. Assume all bases are positive. Answer only with positive exponents. \( \frac{x^{\frac{1}{3}} y^{\frac{3}{5}}}{x^{\frac{4}{5}} y^{\frac{1}{3}}}=\square \) Without actually solving the problem, choose the correct solution by deciding which choice satisfies the given conditions. Kesha has a total of 120 coins, all of which are either dimes or quarters. The total value of the coins is \( \$ 18.00 \). Find the number of each type of coin. Which choice satisfies the given conditions? A. 80 dimes; 40 quarters B. 50 dimes; 70 quarters C. 60 dimes; 48 quarters \( 2 \log ( x + 1 ) \leq \log _ { \frac { 1 } { 4 } } x - 1 \) Without actually solving the problem, choose the correct solution by deciding which choice satisfies the given conditions. The length of a rectangle is 3 feet longer than the width. The perimeter is 18 feet. Find the dimensions of the rectangle. \( 2 \log _ { 2 } ( x + 1 ) \leq \log _ { \frac { 1 } { 4 } } x \) 4. \( \begin{array}{l}2 x+3 y=5 \\ 9 y^{2}-8 x=1\end{array} \)
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