Answer: Let length = 2x + 3
Let width = x
Area = 54 ft2
length × width = Area
x(2x + 3) = 54
2x2 + 3x = 54
2x2 + 3x - 54 = 0
(2x - 9)(x + 6) = 0
x = 9/2 and x = -6
x = 4.5 and x = -6
We accept x = 4.5 because length cannot be a negative value. Substituting this value into the dimensions:
width = 4.5 ft
length = 2(4.5) + 3 = 9 + 3 = 12 ft
Step-by-step explanation:
Answer:
Part 1: It is not a valid conclusion to say that track and field sports are more popular than soccer based on the survey. The survey was taken at a track and field event so the people that were surveyed are probably biased.
Part 2: A better way of determining which sport is more popular is by counting how many people show up to each event and comparing the results.
Answer:
c. 7, 24, 25
Step-by-step explanation:
For the formulas ...
we can use the given values of x and y to find the corresponding Pythagorean triple:
a = 4^2 -3^2 = 16 -9 = 7
b = 2·4·3 = 24
c = 4^2 +3^2 = 16 +9 = 25
The generated Pythagorean triple is (7, 24, 25), matching answer C.
2 lb in each package
There are 3 types of nuts they all have 9 1/3 pounds in them. multiply 3 by 9 /13 to find out how many pounds of nuts there is. 3×9 1/3 That is 28 pounds. Now divide the 28 pounds of nuts into the 14 packages. 28 ÷ 14 There is 2 pounds of nuts in each package.