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Home Question Bank Math Archive 2025 February 24

Math Questions from Feb 24,2025

Browse the Math Q&A Archive for Feb 24,2025, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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12. \( 2(-3 m-5) \geq-28 \quad \) 13. \( -6(w+1)<2(w+5) \quad \) 14.2(q-3)+6 \( 5-10 \) 4) \( 8-(a-1) \) 106 \( 6 \frac{1}{64 q^{3}}-b^{3} \) (8) When you want to convert days to hours, should you multiply or divide by 24 ? Explain. (1 day \( =24 \) hours) (9) Look at problem 8 . How many hours are in \( 2 \frac{1}{2} \) days? Show your work. Consider the following three systems of linear equations. \[ \begin{array}{l} \text { System A } \\ \text { System B } \\ \text { System C } \\ \left\{\begin{array} { l } { - 4 x + 5 y = 8 [ \mathrm { A } 1 ] } \\ { - 7 x + 8 y = 1 1 [ \mathrm { A } 2 ] } \end{array} \left\{\begin{array} { l } { - 4 x + 5 y = 8 [ \mathrm { B } 1 ] } \\ { x - 2 y = - 5 [ \mathrm { B } 2 ] } \end{array} \left\{\begin{array}{l} -3 y=-12[\mathrm{C} 1] \\ x-2 y=-5[\mathrm{C} 2] \end{array}\right.\right.\right. \end{array} \] Answer the questions below. For each, choose the transformation and then fill in the blank with the correct number. The arrow ( \( \rightarrow \) ) means the expression on the left becomes the expression on the right. (a) How do we transform System A into System B? \( \square \) \( \times \) Equation [A1] \( \rightarrow \) Equation [B1] \( \square \) \( \times \) Equation \( [\mathrm{A} 2] \rightarrow \) Equation \( [\mathrm{B} 2] \) \( \square \) \( \times \) Equation \( [\mathrm{A} 1]+ \) Equation \( [\mathrm{A} 2] \rightarrow \) Equation \( [\mathrm{B} 2] \) \( \square \) \( \times \) Equation \( [\mathrm{A} 2]+ \) Equation \( [\mathrm{A} 1] \rightarrow \) Equation \( [\mathrm{B} 1] \) (b) How do we transform System B into System C? \( \square \) \( \times \) Equation \( [\mathrm{B} 1] \rightarrow \) Equation [C1] \( \square \times \) Equation \( [\mathrm{B} 2] \rightarrow \) Equation [C2] \( \square \) \( \times \) Equation \( [\mathrm{B} 1]+ \) Equation \( [\mathrm{B} 2] \rightarrow \) Equation \( [\mathrm{C} 2] \) \( \square \times \) Equation \( [\mathrm{B} 2]+ \) Equation \( [\mathrm{B} 1] \rightarrow \) Equation \( [\mathrm{C} 1] \) Multiply Mixed Numbers 1 Health and Fitness Trail running is an exercise that involves running on trails instead of paved roads to reduce the impact on ankles and knees. Samantha runs on the Lakeside Trail. She runs \( 2 \frac{1}{2} \) times around the loop and then walks the remainder of the way. How far does Samantha run? Write an equation to model the distance Samantha runs. 2 Mp Use Tools Jeeran is making a rectangular banner for school. The dimensions of the banner are \( 1 \frac{1}{2} \) yards by \( 1 \frac{3}{4} \) yards. What is the area of the banner? Use the visual model to show the area. Then write an equation to model the problem. The length of the longer leg of a right triangle is 6 ft longer than the length of the shorter leg \( x \). The hypotenuse is 6 ft shorter than twice the length of the shorter leg. Part: \( 0 / 4 \) 4) \( 8-(a-1) \) Score:0/2 Penaltro 05 alf Question Watch Video If \( f(x)=x^{3}+3 x^{2}-33 x-35 \), which of the following is not a factor of \( f(x) \) ? Answer \( (x+7) \) \( (x-5) \) \( (x+1) \) \( (x+5) \) Consider the following three systems of linear equations. \[ \begin{array}{c} \text { System A } \\ \left\{\begin{array} { c } { \text { System B } } \\ { - 5 x + 6 y = 1 4 [ \mathrm { A } 1 ] } \\ { 4 x - 3 y = - 4 [ \mathrm { A } 2 ] } \end{array} \left\{\begin{array} { c } { 3 x = 6 } \\ { 4 x - 3 y = - 4 [ \mathrm { B } 2 ] } \end{array} \quad \left\{\begin{array}{c} x=2 \\ 4 x-3 y=-4[\mathrm{C} 2]] \end{array}\right.\right.\right. \end{array} \] Answer the questions below. For each, choose the transformation and then fill in the blank with the correct number. The arrow ( \( \rightarrow \) ) means the expression on the left becomes the expression on the right. (a) How do we transform System A into System B? \( \square \) \( \times \) Equation \( [\mathrm{A} 1] \rightarrow \) Equation \( [\mathrm{B} 1] \) \( \square \) \( \times \) Equation \( [\mathrm{A} 2] \rightarrow \) Equation \( [\mathrm{B} 2 \) ] \( \square \) \( \times \) Equation \( [\mathrm{A} 1]+ \) Equation \( [\mathrm{A} 2] \rightarrow \) Equation \( [\mathrm{B} 2] \) \( \square \) \( \times \) Equation \( [\mathrm{A} 2]+ \) Equation \( [\mathrm{A} 1] \rightarrow \) Equation \( [\mathrm{B} 1] \) (b) How do we transform System B into System C? \( \square \) \( \times \) Equation \( [\mathrm{B} 1] \rightarrow \) Equation [C1] \( \square \) \( \times \) Equation \( [B 2] \rightarrow \) Equation [C2] \( \square \) \( \times \) Equation \( [\mathrm{B} 1]+ \) Equation \( [\mathrm{B} 2] \rightarrow \) Equation \( [\mathrm{C} 2] \) \( \square \) \( \times \) Equation \( [\mathrm{B} 2]+ \) Equation \( [\mathrm{B} 1] \rightarrow \) Equation \( [\mathrm{C} 1] \) 12. Tanner used two ribbons of equal length to wrap packages. One ribbon is \( \frac{4}{8} \) yard. Use the number line to find which of the following is NOT a possible length for the second ribbon.
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