Pre-algebra Questions from Nov 01,2024

Browse the Pre-algebra Q&A Archive for Nov 01,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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9. Teri and her friends bought a party-size sandwich that was \( \frac{7}{9} \) yard long. They ate \( \frac{1}{3} \) of a yard of the sandwich. Teri wrote the part of the sandwich that was left as a fraction in simplest form. What is the numerator of this fraction? What is the slope of the line that passes through the points \( (-6,8) \) and \( (-9,7) \) ? Write your answer in simplest form. Answer Attempti out of a undefined What is the slope of the line that passes through the points \( (-7,-2) \) and \( (-15,-14) \) ? Write your answer in simplest form. Answer Attempt 1 out of 2 Simplify each of the following expressions. a) \( 6^{1 / 4} \cdot 36^{3 / 8}=\square \) b) \( \left(\frac{8}{64}\right)^{-1 / 3}\left(\frac{16}{25}\right)^{-1 / 2}=\square \) Riley is training to compete in a marathon, following a training plan recommended by her favorite running podcast. She plans to run 12 miles in her first week of training and will increase her mileage by about \( 10 \% \) each week after. Write an exponential equation in the form \( y=a(b)^{x} \) that can model Riley's target mileage per week, \( y, x \) weeks after she starts training. Use whole numbers, decimals, or simplified fractions for the values of a and \( b \). Evaluate the expressions. \( -\left(\frac{4}{9}\right)^{0}=\square \) \( 2\left(-\frac{3}{2}\right)^{0}=\square \) Evaluate the expressions. \( \left(-\frac{2}{3}\right)^{0}=\square \) \( -(3)^{0}=\square \) Little Oak Mountain is home to about 750 collared pikas, which are small gray herbivores related to rabbits and hares, Collared pikas are an endangered species, and the population on Little Oak Mountain is expected to decrease by \( \frac{1}{5} \) each year. Write an exponential equation in the form \( y=a(b)^{x} \) that can model the population of collared pikas on Little Oak Mountain, \( y \), in \( x \) years. Use whole numbers, decimals, or simplified fractions for the values of \( a \) and \( b \). Números decimales como fracción de enteros \[ 5,3 \widehat{16} \] 3) \( 20 \sqrt{2} \cdot 2 \sqrt{4}^{\frac{1}{4}} \)
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