Your car radiator can hold 4 liters of fluid
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Your car radiator can hold 4 liters of fluid

1. Your car radiator can hold 4 liters of fluid. Many automotive stores sell jugs of pure antifreeze, but some also sell jugs of antifreeze that have been premixed with water. Suppose you buy a jug of 40% antifreeze mixture as well as a jug of pure antifreeze. How many liters of each jug must you use to make enough of a 70% mixture to fill your radiator? How liters of pure antifreeze are needed? How many liters of 40% antifreeze are needed?

2. Tim Brown wants to enclose his children's play area with fencing. Tim found that he needs to install 50 feet of fencing around the rectangular play yard. If the yard covers 150 square feet, what are its dimensions?

3. Draco steals and throws Neville's red ball straight up at 94 feet per second from about 12 feet above the ground. How long does he have until the ball reaches the ground? HINT: Use the function h(t)=−16t^2+94t+12.

Hint
Economics"1. Here, let x be the volume of the pure antifreeze. And, then the volume of the 40% antifreeze must be  (4-x) liters.Also, the basic equation is  x + 0.4 * (4-x) = 0.7 * 4So, if the sum of antifreeze volumes in ingredients is equal to the volume of the antifreeze in the mixture.Therefore, from equation, express x and calculate: x = (0.7 * 4 - 0.4 * 4 ) / ( 1 - 0.4 )This is equ...

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