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Home Question Bank Math Archive 2025 January 22

Math Questions from Jan 22,2025

Browse the Math Q&A Archive for Jan 22,2025, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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4. A railroad track-laying machine laid \( 1 \frac{1}{5} \mathrm{~km} \) of track on Monday and \( \frac{17}{20} \mathrm{~km} \) of track on Tuesday. How many more kilometers of track did it lay on Monday than on Tuesday? Write each of the following numbers in words. \( \begin{array}{lllll}\text { 37. } 29 & \text { 38. } 75 & \text { 39. } 40 & \text { 40. } 90 \\ \text { 41. } 573 & \text { 42. } 895 & \text { 43. } 707 & \text { 44. } 405\end{array} \) \( \begin{array}{llll}\text { 45. } 770 & \text { 46. } 450 & \text { 47. } 23,540 & \text { 48. } 56,708\end{array} \) \( \begin{array}{llll}\text { 49. } 3,004 & \text { 50. } 5,008 & \text { 51. } 3,040 & \text { 52. } 5,080\end{array} \) \( \begin{array}{llll}\text { 53. } 104,065,780 & \text { 54. } 637,008,500 & \text { 55. } 5,003,040,008 & \text { 56. } 7,050,800,001\end{array} \) 57. \( 2,546,731 \) Which equations have no solution? (choose 2) A \( -20=-4 x-6 x \) B \( \quad 4 m-4=4 m \) C \( 6 x+1=-6(1-x) \) D \( 6=1-2 n+5 \) \( E \quad-(7-4 x)=9 \) Evan spent \( 2 \frac{2}{3} \) hours practicing the piano in the morning. He spent another \( 1 \frac{2}{3} \) hours practicing in the afternoon. How many hours did he practice in all? \( y=-\frac{2}{8} x+2 \) Tabla de Valora \( x \) -3 -2 -1 0 1 2 3 200 \( 20 \begin{array}{l}\text { Lisa's camera has } 2048 \text { megabytes of } \\ \text { memory for storing pletures. She has already } \\ \text { used half this amount. A high-quality plcture } \\ \text { uses } 16 \text { megabytes of memory. How many } \\ \text { high-quality plctures can Lisa storewith the } \\ \text { remaining memory? }\end{array} \) Triangle HIJ is dilated by a scale factor of 3 to form triangle H'I'J'. What is the measure of side I'J'? 1. \( x^{12}-27 y^{9} \) Factor each expression using the greatest common factor. \( \begin{array}{lll}\text { 33. } 12+20 & \text { 34. } 45-15 & \text { 35. } 125+275\end{array} \) Find the values of \( P \) and \( Q \) that make the following equality true. \( \int \frac{x-3}{(x+4)(x+5)} d x=P \cdot \ln |x+4|+Q \cdot \ln |x+5|+C \) \( P=\square \) \( Q=\square \)
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