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anggar20
15.10.2020 •
Mathematics
Sam is a forklift operator at a Los Angeles warehouse. A 500 kg crate arrived from Taiwan. His forklift can load 2,500 lb. He wants to know if it is safe to lift the crate. How many pounds does the crate weigh? PLZZZ HELP
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Ответ:
1 kg = 2.2 pounds ( rounded to the nearest tenth)
500 kg x 2.2 = 1,100 pounds
1100 pounds is less than 2,500 so the forklift can lift it.
Ответ:
L= 11 m and W = 2 m
Step-by-step explanation:
Let's convert the sentences into mathematical expressions, for which we need to assign letters to the unknowns: length and width of a rectangle.
Let's identify the rectangle's length with the letter "L', and its width with the letter "W".
Then we can write:
"The length of a rectangle is 3 meters more than 4 times the width."
as: L = 4 * W + 3
The second sentence says:
"The area (of the rectangle) is 22 square meters", so to write this in mathematical terms we need to recall the formula for the area of a rectangle:
Area = Length * Width (the product of the rectangle's length times its width)
Therefore the second sentence can be converted into the following equation:
Area = L * W = 22
Now we can use the first mathematical expression we constructed in the second formula so we can reduce the number of unknowns from two (L and W) to only one (W) and solve for it in the equation.
We replace "L" with 4 * W + 3 (from our first expression) in the area formula:
L * W = (4 * W + 3) * W = 22
Which is a quadratic equation in W, and which has solutions given by the quadratic formula:
For our unknown W (instead of "x") and our parameters:
the quadratic formula would be:
the negative answer has no physical meaning in our case because we are dealing with positive dimensions for a rectangle. Therefore the only logical solution for W is: 2 meters
Now we use the first expression we found for "L" to find its value:
L = 4 (2) +3 = 8 + 3 = 11 meters