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seropon
15 days ago
9

If the clothing maker bought 500 m2 of this fabric, how much money did he lose? Use 1tepiz=0.625dollar and 0.9144m=1yard.

Mathematics
2 answers:
lawyer [3.9K]15 days ago
8 0

The loss incurred by the clothing maker for 500 m² of fabric is $53,239.

Detailed Explanation

The seven fundamental measurement units defined internationally are:

  • 1. Length in meters (m)
  • 2. Time in seconds (s)
  • 3. Mass in kilograms (kg)
  • 4. Temperature in kelvin (K)
  • 5. Light intensity in candela (cd)
  • 6. Electric current in amperes (A)
  • 7. Amount of substance in moles (mol)

Derived quantities depend on these basic units.

The yard, a length unit used mainly in Commonwealth nations, converts as:

0.9144 meters equals 1 yard, or 1 meter equals approximately 1.0933 yards.

Therefore, 1 m² corresponds to 1.196 yards².

Given 500 m² purchased, this converts to approximately 598 yards².

To calculate the monetary loss, compare prices in New York and the small island:

1. New York price: 120 dollars per yard², so for 598 yards²:

$120 × 598 = $71,760

2. Small island price per m²: 400 tepizes; with 1 tepiz = $0.625, this equals $250 per m² or $209.03 per yard².

For 598 yard², cost is:

$209.03 × 598 ≈ $124,999.94

The difference is:

$124,999.94 - $71,760 = $53,239

Further Resources

A vineyard with 145 acres of Chardonnay grapes: brainly.com/question/982615

The mass of a gold bar with volume 7.379 × 10⁻⁴ m³: brainly.com/question/4773300

Convert 0.0075 meters to centimeters: brainly.com/question/2867118

Keywords: yard, fabric, dollars

babunello [3.6K]15 days ago
7 0
1 yard² equals 0.8361 m².?

<span>Here's the breakdown:

He paid (.625 × 400) = $250.00 per m². </span>
His total expenditure was (500 × 250) = $125,000. 
He received (500 / 0.8361) ≈ 598.0146 yard² of fabric. 
The equivalent local cost is (598.0146 × 120) = $71,761.75. 
Thus, his financial loss is (125,000 - 71,761.75) = $53,238.25. 

<span>You can recalculate using a mistaken conversion factor.

I trust this solution assists you. Best wishes!</span>
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Assume that the flask shown in the diagram can be modeled as a combination of a sphere and a cylinder. Based on this assumption,
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Answer:

Here’s the response provided

Step-by-step explanation:

Referring to the flask diagram, the diameter of the cylinder measures 1 inch and its height (h) is 3 inches. Thus, the radius of the cylinder (r) = diameter / 2 = 1/2 = 0.5 inch

The volume of the cylinder can be calculated as πr²h = π(0.5)² × 3 = 2.36 in³

As for the sphere, its diameter is 4.5 in. Hence, the radius of the sphere R = diameter / 2 = 4.5/2 = 2.25 in

The volume of the sphere is calculated as 4/3 (πR³) = 4/3 × π × 2.25³ = 47.71 in³

The total volume of the flask = Volume of the cylinder  + Volume of the sphere = 2.36 + 47.71 = 50.07 in³

<pWhen the cylinder and the sphere are expanded by a scale factor of 2, the height (h') of the cylinder becomes 3/2 = 1.5 inches and the radius (r') becomes 0.5/2 = 0.025 inches.

The new volume for the cylinder = πr'²h' = π(0.25)² × 1.5 = 0.29 in³

For the sphere, the new radius is R' = 2.25 / 2 = 1.125 in.

The new volume of the sphere = 4/3 (πR'³) = 4/3 × π × 1.125³ = 5.96 in³

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Step-by-step explanation:

To solve this equation, we can select various values for x and then compute the corresponding y values.

<pFor instance, when x = 1, we find:

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Refer to the attached image for the plot.

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