The figure shows a walkway around a swimming pool. The width of the walkway is 4 1/2 ft all the way around
1 answer:
Answer:
B. 1,251 ft²
Step-by-step explanation:
The walkway can be divided into 4 rectangles as shown in the attachment below.
Calculate the area of the walkway part by part.
Part 1 and Part 2:
Length = 100 ft + 4½ ft + 4½ ft = 109 ft
Width = 4½ ft
Area of part 1 and 2 = 2(length * width)
= 2(109*4½) = 981 ft²
Part 3 and Part 4:
Length = 30 ft
Width = 4½ ft
Area of part 1 and 2 = 2(length * width)
= 2(30*4½) = 270 ft²
Area of the walkway = 981 + 270 = 1,251 ft²
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Answer:
First brand of antifreeze: 21 gallons
Second brand of antifreeze: 9 gallons
Step-by-step explanation:
Let's call A the amount of first brand of antifreeze. 20% pure antifreeze
Let's call B the amount of second brand of antifreeze. 70% pure antifreeze
The resulting mixture should have 35% pure antifreeze, and 30 gallons.
Then we know that the total amount of mixture will be:
Then the total amount of pure antifreeze in the mixture will be:
Then we have two equations and two unknowns so we solve the system of equations. Multiply the first equation by -0.7 and add it to the second equation:
+
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We substitute the value of A into one of the two equations and solve for B.