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Concept explainers
Mixture Problem The radiator in a car is filled with a solution of 60% antifreeze and 40% water. The manufacturer of the antifreeze suggests that for summer driving, optimal cooling of the engine is obtained with only 50% antifreeze. If the capacity of the radiator is 3.6 L, how much coolant should be drained and replaced with water to reduce the antifreeze concentration to the recommended level?
![Check Mark](/static/check-mark.png)
To find: The amount of coolant drain and replace with water to reduce the antifreeze concentration.
Answer to Problem 57E
The amount of coolant drain and replace with water is 0.6 liters.
Explanation of Solution
Given:
A car radiator is filled with 60% antifreeze and 40% water.
The capacity of radiator is 3.6 L.
The manufacturer suggests that optimal cooling of engine should be obtained with 50% antifreeze.
Calculation:
Let the amount of coolant drain and replace with water be x.
Tabulate the given information into the language of algebra.
In words | In Algebra |
Amount of coolant drain and water add | x |
Antifreeze remaining in tank |
|
Water remaining in tank |
|
Total water |
|
Model the equation for the above information.
Simplify the above equation for x,
Further simplify the above equation.
Thus, the amount of coolant drain and replace with water is 0.6 liters.
Chapter 1 Solutions
EBK PRECALCULUS: MATHEMATICS FOR CALCUL
- T 1 7. Fill in the blanks to write the calculus problem that would result in the following integral (do not evaluate the interval). Draw a graph representing the problem. So π/2 2 2πxcosx dx Find the volume of the solid obtained when the region under the curve on the interval is rotated about the axis.arrow_forward38,189 5. Draw a detailed graph to and set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region bounded by the curve: y = cos²x_for_ |x| ≤ and the curve y y = about the line x = =플 2 80 F3 a FEB 9 2 7 0 MacBook Air 3 2 stv DGarrow_forwardFind f(x) and g(x) such that h(x) = (fog)(x) and g(x) = 3 - 5x. h(x) = (3 –5x)3 – 7(3 −5x)2 + 3(3 −5x) – 1 - - - f(x) = ☐arrow_forward
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