Math Questions from Jan 12,2025

Browse the Math Q&A Archive for Jan 12,2025, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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The area of wall B is \( 9.6 \mathrm{~m}^{2} \) What is the total area of walls that Peter and Katy need to paint? R. 7 Evaluate nonlinear expressions \( Z H Y \) Evaluate the expression for \( u=5, v=3 \), and \( w=-20 \). Simplify your answer. \[ \frac{v w-u}{u}=\square \] Evaluate the expression for \( s=11, t=7 \), and \( u=3 \). Simplify your answer. \[ \frac{s t+u}{s-u}=\square \] portions \( \in \begin{array}{l}\text { The headlights on a car are set so the light beam drops } 2 \text { in. for each } 22 \mathrm{ft} \text { measured horizontally. If the headlights are mounted } 32 \text { in. above the ground, how far ahead of the car will } \\ \text { they hit the ground? }\end{array} \) The light beam will hit the ground at a distance of \( \square \mathrm{ft} \) ahead of the car. 19 points (Simplify your answer) Evaluate the expression for \( g=-5 \) \[ -(-2 g)^{2}=\square \] 1. Sum of one-sixth of \( x \) and 2.8 The door and window do not need painted. The door measures 1.9 m by 90 cm . The window measures 1 m by 2 m . 1C Calculate the area of the door, in \( \mathrm{m}^{2} \) \begin{tabular}{|l|}\multicolumn{1}{|c|}{ ITEMS } \\ \hline A container with 15 books weighs 1.5 kg \\ altogether. The container alone weighs 300 g. \\ All the books each weigh the same. What is \\ the weight of one book? \end{tabular} Simplify the expression \( \frac{3 x^{3}-3 x^{2}-6 x}{6 x^{2}-18 x+12} \) and give your answer in the form o \( \frac{f(x)}{g(x)} \). Fill in the missing numbers to complete the pattern \( 3.80, \square, 3.90, \square, 4.00,4.05 \)
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