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Mnenie [13.5K]
2 years ago
10

A falcon flies 800,000 meters in 4 hours. Use the formula d = rt, where d represents distance, r represents rate, and t represen

ts time, to answer the following questions. Show
your work.

Part A: Rearrange the distance formula, d = rt, to solve for rate.

Part B: Find the falcon's rate in meters per hour.

Part C: Find the falcon's rate in kilometers per hour.

Part D: Which unit, meters, or kilometers, makes more sense to use in this scenario, and why?
Mathematics
1 answer:
photoshop1234 [79]2 years ago
5 0

Answer:

a. r=d/t b. 800000/4=200,000 c.800/2=200 d.not sure km are used more often as theyre simpler to use but there is not much that i am basing this off of

Step-by-step explanation:

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£399 is shared between Ann, Bill, Chloe and Dave.
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Answer is 4.5 Show all
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2 years ago
The fuel cost per hour for running a ship is approximately one half the cube of the speed (measured in knots) plus additional fi
andrezito [222]

Answer:

6 knots

Step-by-step explanation:

Let the speed be v knots

then time taken to cover 500 M = 500 / v hrs

fuel consumption /hr = 216 + 0.5v^3

let F be the fuel consumption for trip

= [500/v][216 + 0.5v^3]

= 500[216/v + 0.5v^2]

dF/dv = 500[ - 216/v^2 + v]

d^2F/d^2v = 500[432/v^3 + 1] , i.e. +ve

so setting dF/dv will give a minima

500[ -216/v^2 + v] = 0

or v = 216/v^2

or v^3 = 216

solving, we get v = [216]^(1/3) = 6 knots

7 0
2 years ago
Emily is buying new cold-weather gear for her family. She pays $100 for 5 pairs
user100 [1]

Answer:

500, or 400 if its 4

Step-by-step explanation:

5 0
2 years ago
W hich of these scales is equivalent to the scale 1 cm to 5 km? Select all that apply.  (Lesson 1-11) A. 3 cm to 15 km D.    5 m
nordsb [41]

The equivalent scales are:

3 cm to 15 km is equivalent to 1 cm to 5 km ⇒ answer A

5 mm to 2.5 km is equivalent to 1 cm to 5 km ⇒ answer D

1 mm to 500 m is equivalent to 1 cm to 5 km ⇒ answer E

Step-by-step explanation:

To solve this problem do that

1. The given scale is 1 cm represents 5 km, then all given answer must

   be change to cm and km

2. Find the equivalent scales to the given scale

A.

∵ 3 cm represents 15 km

- Divide both of them by 3

∴ 1 cm represents 5 km

3 cm to 15 km is equivalent to 1 cm to 5 km

B.

∵ 1 mm represents 150 km

- Change mm to cm

∵ 1 cm = 10 mm

∴ 1 mm = \frac{1}{10} cm = 0.1 cm

∴ 0.1 cm represents 150 km

- Multiply both by 10

∴ 1 cm represents 1500 km

1 mm to 150 km is not equivalent to 1 cm to 5 km

C.

∵ 5 cm represents 1 km

- Divide both my 5

∴ 1 cm represents 0.2 km

5 cm to 1 km is not equivalent to 1 cm to 5 km

D.

∵ 5 mm represents 2.5 km

- Change mm to cm

∵ 1 cm = 10 mm

∴ 5 mm = \frac{5}{10} cm = 0.5 cm

∴ 0.5 cm represents 2.5 km

- Divide both by 0.5

∴ 1 cm represents 5 km

5 mm to 2.5 km is equivalent to 1 cm to 5 km

E.

∵ 1 mm represents 500 m

- Change mm to cm

∵ 1 cm = 10 mm

∴ 1 mm = \frac{1}{10} cm = 0.1 cm

- Change m to km

∵ 1 km = 1000 m

∴ 1 m = \frac{1}{1000} = 0.001 km

∴ 500 m = \frac{500}{1000} = 0.5 km

∴ 0.1 cm represents 0.5 km

- Multiply both by 10

∴ 1 cm represents 5 km

1 mm to 500 m is equivalent to 1 cm to 5 km

Learn more:

You can learn more about the equivalent quantities in brainly.com/question/120752

#LearnwithBrainly

3 0
2 years ago
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