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Home Question Bank Math Archive 2025 January 23

Math Questions from Jan 23,2025

Browse the Math Q&A Archive for Jan 23,2025, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Which fraction listed would complete the inequality correctly? \( \frac{5}{10}>? \) Solve for \( x \) in the equation below by selecting the applicable information in the drop down boxes. First step: \( a x+5=25 \) Second step: \( \quad \) Answer: Solve the following equation for \( x \). \[ a x-7=22 \] A \( x=29 a \) B \( \quad x=\frac{29}{a} \) C \( \quad x=\frac{a}{29} \) D \( x=\frac{15}{a} \) * Solve the following equation for \( x \). \[ a x-2=20 \] A \( x=\frac{22}{a} \) B \( x=\frac{a}{22} \) C \( x=\frac{20-a}{2} \) D \( x=\frac{18}{a} \) 4. Brianne wants to save an additional \( \$ 2,000 \) in the next 16 months. Assuming she brings home \( \$ 8 \) an hour, how many extra hours a month will she need to work to achieve this goal? 3. Read the story stuation: It costs \( \$ 88 \) to dunp one ton of trash at the local landni. Last month, Mr. Jones dumped tons of trasi. If Mr. Jones gave the landfill attendant \( \$ 200 \), how much change will he rece a. Draw a bar model to represent the story situation. A square is plotted on a coordinate plane. Henry claims that any transformation on the square will preserve the length of its sides. Which of the following transformations could be used to show that Henry's claim is incorrect? Select all that apply. translation of 5 units to the right horizontal stretch by a factor of \( \frac{1}{3} \) dilation by a factor of 2 through the origin rotation of \( 45^{\circ} \) clockwise about the square's center a reflection over the \( x \)-axis Ejercitacion 6C Derive las siguientes con respecto a \( x \) : \( \mathbf{1} y=\frac{3}{x^{2}} \) \( \mathbf{4} f(x)=\frac{2}{x^{8}} \) Question Id: 2013025 Solve the following equation for \( x \). \[ a x-3=18 \] A \( \quad x=21-a \) B \( \quad x=\frac{21}{a} \) C \( \quad x=\frac{a}{21} \) D \( \quad x=\frac{15}{a} \) Kyle always charges the battery of his motorized wheelchair overnight. At the end of each day he records the distance he traveled and the remaining charge on the battery. The scatter plot shows the data. The equation of the line of fit is \( y=-4.2 \pi+100 \). At the end of one day, the remaining charge on the battery was \( 58 \% \). Predict the distance Kyle traveled with the wheelchair that day. \( \square \) miles 7 8 9 \( \times \) 4 5 6 \( 6 \div \)
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