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Home Question Bank Math Archive 2025 January 18

Math Questions from Jan 18,2025

Browse the Math Q&A Archive for Jan 18,2025, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Consider the following four points: \( \begin{array}{ll}\text { A }(12,14) & \text { C }(24,-22) \\ \text { B }(16,-25) & \text { D }(18,8) \\ \text { Will the lines } A B \text { and CD intersect } 8 \text { ? } \\ \text { a) yes } \\ \text { b) no }\end{array} \) Escribe la ecuación de una recta que pasa por el punto \((2, 3)\) y tiene una pendiente de \(4\). Calcule \( Q=\frac{\tan ^{4} 60^{\circ}-\sec ^{4} 45^{\circ}}{\left(\sec 30^{\circ}-\cot 60^{\circ}\right)^{2}} \) Nicole and Randy are having an origami competition. Nicole has already made 50 cranes and can make 9 per hour. Randy has already made 85 cranes and can make 4 per hour. At what number of hours will they have made the same amount of cranes, and how many cranes is that?? Si multiplicas por un número decimal, haces lo mismo, solo al final de izquierda a derecha acomodas ef punto. Elemplo \( 25.50 \times 100255.00 \), se mueven dos liggares porque son los que hay después del punto. Dividir entre 10,100 o 1000: Significa mover el punto hacia la izquierda 1,203 espacios dependiendo los ceros que tenga el 1 . Ejemplo. \( 25 \div 102.5,25 \div 100=0.25,25 \div 1000=0.025 \). Cuando no se fienen sifras suficientes se agregan ceros. 1. Resuelve los siguientes problemas por multiplicación o división. a) Un kg de carne cuesta \$160 ¿Cuánto cuesta 10 kg ? \( \qquad \) d) Un kg de tortillas cuesta \( \$ 20 \) ¿Cuánto cuesta 1000 kg ? \( \qquad \) b) Un litro de leche cuesta \$32 ¿Cuánto cuesta 100 litros? \( \qquad \) e) ¿Entre cuanto hay que dividir 6 para que dé 0.00 ©? c) Un pan cuesta \( \$ 6.50 \) ¿Cuánto cuesta 100 panes? \( \qquad \) f) ¿Entre cuânto hay que dividir 3 para que de 0 ? 23? Multiplicar por \( 0.1= \) dividir entre 10 Dividir entre 0.1 = multiplicar por 10 Multiplicar por \( 0.01= \) dividir entre 100 Dividir entre 0.01 =multiplicar por 100 Multiplicar por \( 0.001= \) dividir entre 1000 Dividir entre \( 0.001= \) multiplicar por 1000 \( x-y=3 \) and \( x^{2}-x y=2 y^{2}+7 \) IMU Question 3 It has been found the generally the time, \( t \), taken to a puzzle varies directly with the number of pieces, \( n \), and inversely with the number of people, \( p \), working on it. If it takes 4 people 36 minutes to solve and 180 piece puzzle, how long will it take 6 people to solve a 420 piece puzzle? IMU Question 3 It has been found the generally the time, \( t \), taken to a puzzle varies directly with the number of pieces, \( n \), and inversely with the number of people, \( p \), working on it. If it takes 4 people 36 minutes to solve and 180 piece puzzle, how long will it take 6 people to solve a 420 piece puzzle? IMU Question 3 It has been found the generally the time, \( t \), taken to a puzzle varies directly with the number of pieces, \( n \), and inversely with the number of people, \( p \), working on it. If it takes 4 people 36 minutes to solve and 180 piece puzzle, how long will it take 6 people to solve a 420 piece puzzle? for \( x \) if \( 2 x^{2}-4 x=36-\frac{270}{3 x^{2}-6 x} \)
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