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线性建模・建立方程挑战
When x liters of a 40% acid solution is mixed with y liters of a 60% acid solution, 12 liters of a 50% acid solution is produced. Which system of equations represents this situation? (Assume that the volume of the mixture is the sum of the volumes of the two solutions before they were mixed.)
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线性建模・建立方程进阶
A cell phone plan costs 82 dollars each month. Which equation gives the total cost c, in dollars, of the cell phone plan for m months?
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线性建模・建立方程挑战
A shipment consists of 5-pound boxes and 10-pound boxes with a total weight of 360 pounds. There are 23 10-pound boxes in the shipment. How many 5-pound boxes are in the shipment?
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线性建模・建立方程进阶
Based on a model, on day 1 of an 8-day experiment, a lima bean plant had an estimated mass of 253 grams, and each day after day 1 of the experiment, the estimated mass of the plant decreased by 4 grams. Which equation represents this model, where m is the estimated mass, in grams, of the plant on day x of the experiment and \( 1\le x\le8 \)?
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线性建模・建立方程基础
A total of 255 people registered for a city's annual race as either a runner or a walker. 210 people registered as a runner. How many people registered as a walker?
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线性建模・建立方程基础
Kayra spent $74 at a book sale and bought a total of 22 books. She bought h hardcover books for $4 each and p paperback books for $3 each. Which system of equations represents this situation?
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线性建模・建立方程进阶
A dance studio charges an introductory fee for the first 3 lessons and then charges a fixed fee for each additional lesson. One student took 6 lessons and was charged $150. Another student took 14 lessons and was charged $390. Which function \( f \) gives the total charge, in dollars, for any student who took x lessons, where \( x>2 \)?
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线性建模・建立方程进阶
A manager is responsible for ordering supplies for a coffee shop. The shop's inventory starts with 6,600 disposable cups, and the manager estimates that 110 of these cups are used each day. Based on this estimate, in how many days will the inventory of disposable cups reach 1,100?
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线性建模・建立方程进阶
A chemist mixed x liters of a 4% saline solution with y liters of a 7% saline solution to produce a 6% saline solution. Which equation best represents this situation? (Assume the volumes of the solutions are additive.)
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线性建模・建立方程挑战
The table shows the linear relationship between the number of cars, c, on a commuter train and the maximum number of passengers and crew, p, that the train can carry. Which equation represents the linear relationship between c and p?
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线性建模・建立方程进阶
A book publishing company pays the author of a certain book $3.75 per book for the first 400 books sold. After the first 400 books are sold, the payment increases to $4.50 per book sold. Which function gives the author's total payment \( P(b) \) , in dollars, in terms of the number of books sold, b, where \( b>400 \)?
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线性建模・建立方程进阶
\( f\left(x\right)=35x+500 \)
The function \( f \) gives the monthly fee \( f(x) \) in dollars, a storage company charges to keep x boxes in its warehouse. What is the monthly fee, in dollars, the company charges to keep 40 boxes in its warehouse?
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