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liraira [26]
3 years ago
7

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. (2 points)

Part B: Find the falcon's rate in meters per hour. (3 points)

Part C: Find the falcon's rate in kilometers per hour. (3 points)

Part D: Which unit, meters, or kilometers, makes more sense to use in this scenario, and why? (2 points)
Mathematics
1 answer:
pshichka [43]3 years ago
4 0

Answer:

Step-by-step explanation:

A)

d = r* t         Divide both sides by t

d/t = r

r = d/ t

B)

d = 800000

t = 4 hours

r = 800000 / 4

r = 200000 meters/hour

C

r = 200000 meters / hour * [ 1 km / 1000 meters]

r = 200 km / hr

D

I imagine you are more familiar (especially if you live anywhere but the states) with 200 km/ hour. I am very doubtful that any bird can keep that up for 4 hours. 200 km / hour is equal to about 125 miles / hour. There are few places that will allow a car to travel at that speed. You should be using km/hour because you (should) be more familiar with the units.

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3 years ago
Lucy's savings account has 35% more money than her sister Edy's. Together, the girls have saved a total of $206.80. How much mon
Ber [7]
X=Lucy´s money
y=Edy´s money
we can suggest this system of equations:
x=y+(35/100)y    ⇒x=135y/100
x+y=206.8

solve by substitution method. 
(135y/100)+y=206.8
Least common multiple=100
135y+100y=20680
235y=20680
y=20680/235=88

then:
x=135y/100=135(88)/100=118.8

Answer:
Lucy´s money=$118.8
Edy´s money=$88

To check:
Together, the girls have   saved a total of $118.8+$88=$206.8
Lucy´s savings account has: $88+(35/100)$88=$118.8, 35% more monty than Edy´s. account.     .                                                                                                                            
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