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Home Question Bank Math Algebra Archive 2024 December 16

Algebra Questions from Dec 16,2024

Browse the Algebra Q&A Archive for Dec 16,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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\( a-b=b-c=3 \), hallar el valor de: \[ \frac{(a-b)^{2}+(b-c)^{2}+(a-c)^{2}}{18} \] Solve for \( x \) and \( y \) simultaneously: \[ x^{2}-y^{2}=25 ; x y>8 \] Write a system of equations to describe the situation below, solve using elimination, and fill in the blanks. Darnell is trying to incorporate more exercise into his busy schedule. He has several short exercise routines he can complete at home. Last week, he worked out for a total of 64 minutes by doing 1 arm routine and 2 abdominal routines. This week, he has completed 2 arm routines and 3 abdominal routines and spent a total of 103 minutes exercising. How long does each routine last? An arm routine takes minutes to complete. * 11 Analyze If \( 70 \% \) of the members remembered the password but 21 (48) members forgot, then how many members were there in all? Write a system of equations to describe the situation below, solve using elimination, and fill in the blanks. When Luke does 8 push-ups and 15 sit-ups, it takes a total of 69 seconds. In comparison, he needs 96 seconds to do 15 push-ups and 17 sit-ups. How long does it take Luke to do each kind of exercise? It takes Luke \( \square \) seconds to do a push-up and \( \square \) seconds to do a sit-up. Submit Write a system of equations to describe the situation below, solve using elimination, and fill in the blanks. To keep in shape, Miranda exercises at a track near her home. She requires 26 minutes to do 6 laps running and 5 laps walking. In contrast, she requires 34 minutes to do 10 laps running and 6 laps walking. Assuming she maintains a consistent pace while running and while walking, how long does Miranda take to complete a lap? Miranda takes Submit 05 Quais são os coeficientes "a" e "b" respectivamente, da função \( y=\frac{3 \sqrt{x}}{2}+\frac{\sqrt{5}}{3} \) Write a system of equations to describe the situation below, solve using elimination, and fill in the blanks. The box office at a theater is selling tickets for a series of rock concerts. So far, they have sold 30 balcony tickets and 93 general admission floor tickets for Friday's show, for a total of \( \$ 3,693 \) in receipts. For Saturday's show, 38 balcony tickets and 75 general admission floor tickets have been sold, equaling \( \$ 3,779 \) in receipts. How much does each ticket cost? A balcony seat ticket costs \( \$ \square \), and a general admission floor ticket costs \( \$ \square \) Write a system of equations to describe the situation below, solve using elimination, and fill in the blanks. Nina is working furiously to knit scarves and beanies for a craft fair next weekend. Yesterday she completed 2 scarves and 1 beanie, using a total of 16 meters of yarn. The day before, she used 30 meters to knit 3 scarves and 3 beanies. Assuming Nina is using the same pattern and type of yarn for each scarf and beanie, how much yam does each project require? Each scarf requires Write a system of equations to describe the situation below, solve using elimination, and fill in the blanks. There are two mystery numbers. The sum of 4 times the first number and 6 times the second number is -14 . The sum of 5 times the first number and 6 times the second number is -10 . What are the two numbers? The first number is
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