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Home Question Bank Math Algebra Archive 2025 January 11

Algebra Questions from Jan 11,2025

Browse the Algebra Q&A Archive for Jan 11,2025, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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A summer camp is organizing a hike and needs to buy granola bars for the campers. The granola bars come in small boxes and large boxes. Each small box has 10 granola bars and each large box has 12 granola bars. The camp bought a total of 9 boxes that have 100 granola bars altogether. Write a system of equations that could be used to determine the number of small boxes purchased and the number of large boxes purchased. Define the variables that you use to write the system. Answer Attempt 1 out of 2 Let Let System of Equations: Submit Answer Which are the correct steps for evaluating \( 12 h-4 \) when \( h=8 \) ? A. Step 1: \( 12 \times 8=86 \) Step \( 2: 86-4=82 \) B. Step 1: \( 12+8=20 \) Step 2: \( 20-4=16 \) C. Step 1: \( 8-4=4 \) Step 2: \( 12 \times 4=48 \) D. Step 1: \( 12 \times 8=96 \) Step 2: \( 96-4=92 \) If \( b=17 \), then what is the value of \( 3-b \) ? A. 20 B. 14 C. -14 D. -20 21. \( \frac{1+\frac{1}{x-1}}{1+\frac{1}{x^{2}-1}} \) Se \( (x+a)^{2}+(2 x+a)(2 x-a)=90 \), e ax=5, então o valor positivo de \( x \) é Noella wraps cube-shaped boxes at her gift shop. The cost of wrapping a box depends on its side length. - A box with a side length, \( x \), of at least 5 inches will cost \( 0.05 \cdot 6 \cdot x^{2} \) dollars to wrap. - box with a side length, \( y \), of less than 5 inches will cost \( 0.04 \cdot 6 \cdot y^{2} \) dollars to wrap. Which of the following correctly represents the total cost to wrap each set of cube-shaped boxes? A. Noella wraps two cube-shaped boxes with side lengths 3.5 inches and 6 inches for a total of \( \$ 12.32 \). B. Noella wraps two cube-shaped boxes with side lengths 5 inches and 4 inches for a total of \( \$ 11.34 \). C. Noella wraps two cube-shaped boxes with side lengths 7 inches and 5.5 inches for a total of \( \$ 21.96 \). D. Noella wraps two cube-shaped boxes with side lengths 3 inches and 8 inches for a total of \( \$ 18.06 \). Astudent evaluates the expressions \( 3 z+3 \) and \( 2 x+6 \) at several different values of \( z \). The student claims, The value of the expression \( 3 x+3 \) a awaps greater nan the value of the erpression \( 2 z+6 \) Which value of \( \mathbf{z} \) can be used to show that the studenfs claim is false? ABC A. 2 B. 4 C. 6 D. 8 Write the expression in simplest form. Assume all variables are positive. \( \frac{c^{3}}{\sqrt[4]{d^{7}}}=\frac{\square}{\square} \) 15. \( \frac{s^{2}-t^{-2}}{s-t^{-1}} \) 4000107471 Se -1 é uma das raízes da equação \( x^{2}+4 x+m=0 \), então o valor de \( m \) é
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