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WINSTONCH
1 month ago
11

A surveyor measures the length of a surveying chain containing 1000 chain links. The length is 0.0533km. What is the length of a

single chain link in centimeters? Write your answer as a decimal.
Mathematics
1 answer:
lawyer [12.5K]1 month ago
7 0

Answer:

The length of each individual chain link is calculated as 5.33 cm.

Step-by-step explanation:

Initial data: the chain consists of 1000 links

the overall length recorded is 0.0533km.

1km = 1000m

1m = 100cm, thus 1km = 100000cm

So, the total length in centimeters = 0.0533* 100000

Total length in cm = 5330 cm

To find out the length of a single chain link, we do:

length of one chain link = 5330/1000

Thus, the length of a single chain link equals 5.33 cm.

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A bag of garden soil weighs 38 pounds and holds 4 cubic feet. Find the weight of 15 bags in kilograms and the volume of 15 bags
Svet_ta [12734]

Answer:

The total weight of 15 bags is 258.21 kilograms.

The combined volume of 15 bags is 2.222 cubic yards.

Step-by-step explanation:

In terms of dimensions, a pound is equivalent to 0.453 kilograms, and a cubic yard is equal to 27 cubic feet. We'll calculate the weight and volume for 15 bags by utilizing these conversions:

Weight

x = 15\,bags \times \frac{38\,lb}{1\,bag}\times \frac{0.453\,kg}{1\,lb}

x = 258.21\,kg

The total weight of 15 bags equals 258.21 kilograms.

Volume

x = 15\,bags \times \frac{4\,ft^{3}}{1\,bag} \times \frac{1\,yd^{3}}{27\,ft^{3}}

x = 2.222\,yd^{3}

The total volume of 15 bags sums up to 2.222 cubic yards.

7 0
18 days ago
Becca hikes 9/10 mile in 3/5 hour. Which fraction represents Becca's speed in miles per hour? The answer choices are: 3/5 / 9/10
Leona [12618]

Response:9/10/3/5

Detailed explanation: because... believe me

6 0
1 month ago
Read 2 more answers
Graph a system of equations to solve log (−5.6x + 1.3) = −1 − x. Round to the nearest tenth. From the least to the greatest, the
zzz [12365]

Response:

  • Refer to the attached graph
  • x₁ ≈ - 2.1
  • x₂ ≈ 0.2

Clarification:

To analyze log (−5.6x + 1.3) = −1 − x visually, graph these equations on the same coordinate system:

  • Equation 1: y = log (5.6x + 1.3)
  • Equation 2: y = - 1 - x

The first equation can be graphed using these characteristics of logarithmic functions:

  • Domain: values must be positive ⇒ -5.6x + 1.3 > 0 ⇒ x < 13/56 (≈ 0.23)

  • Range: all real values (- ∞, ∞)
  • x-intercept:

        log ( -5.6x + 1.3) = 0 ⇒ -5.6x + 1.3 = 1 ⇒ x = 0.3/5.6 ≈ 0.054

  • y-intercept:

       x = 0 ⇒ log (0 + 1.3) = log (1.3) ≈ 0.11

  • Choose additional values to create a table:

        x            log (-5.6x + 1.3)

        -1           0.8

        -2           1.1

        -3           1.3

  • This graph is shown in the attached image: it's represented by the red curve.

Graphing the second equation is simpler as it forms a straight line: y = - 1 - x

  • slope, m = - 1 (the coefficient of x)
  • y-intercept, b = - 1 (the constant term)
  • x-intercept: y = 0 = - 1 - x ⇒ x = - 1
  • This graph is indicated by the blue line in the image.

The resolution to the equations corresponds to the points where the two graphs intersect. The graphing method thus allows you to determine the x coordinates of these intersection points. Ordered from smallest to largest, rounded to the nearest tenth, we have:

  • x₁ ≈ - 2.1
  • x₂ ≈ 0.2

8 0
1 month ago
Read 2 more answers
A plane ticket barcelona costs £175 the price decreases by 6% work out the new price
Svet_ta [12734]

Answer: £164.50

Reducing 175 by 6% results in 164.5.

The absolute change is:

164.5 - 175 = -10.5

Step-by-step explanation:

The calculation is as follows:

175 - Percentage decrease =

175 - (6% × 175) =

175 - 6% of 175 =

(1 - 0.06) × 175 =

0.94 × 175 =

94 ÷ 100 × 175 =

94 × 175 divided by 100 =

16,450 ÷ 100 =

164.5

So, the final amount is £164.50

6 0
1 month ago
Read 2 more answers
There were 2.605 people at the basketball game. A reporter rounded this number to the nearest hundred from a newspaper article.
Svet_ta [12734]
Rounded to the nearest hundred, 2605 becomes 2600. If it had been 2650 or more, it would have rounded to 2700.
7 0
20 days ago
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