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Sloan [31]
3 years ago
8

A hippopotamus can run at the speed of about 24.9 miles per hour. At this rate, how far can the hippo run in 30 minutes? Use the

following proportion: 24.9 mph1 hour = x30 min
Mathematics
2 answers:
Kipish [7]3 years ago
6 0
30 mins = 1/2 hour
24.9 divided by two = 12.45 miles
tigry1 [53]3 years ago
4 0
24.9 miles/hour = 24.9/60 miles/minute = .415 miles/minute 

<span>distance = speed * time </span>
<span>= .415 * 30 = 12.45 miles</span>
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dolphi86 [110]

Answer:

a) f(2)= 0.448 (2)^{1.21}= 1.036 grams

b) 0.5 = 0.448 x^{1.21}

Dividing both sides by 0.448 we got:

\frac{0.5}{0.448} = x^{1.21}

We can appy the exponent \frac{1}{1.21} in both sides of the equation and we got:

(\frac{0.5}{0.448})^{\frac{1}{1.21}} = x= 1.095grams

Step-by-step explanation:

For this case we know the following function:

f(x) = 0.448 x^{1.21}

The notation is: x is the weight of the crab in​ grams, and the output​ f(x) is the weight of the claws in grams.

Part a

For this case we just need to replace x = 2 gram in the function and we got:

f(2)= 0.448 (2)^{1.21}= 1.036 grams

Part b

For this case we know tha value for f(x) =0.5 and we want to find the value of x who satisfy this condition:

0.5 = 0.448 x^{1.21}

Dividing both sides by 0.448 we got:

\frac{0.5}{0.448} = x^{1.21}

We can appy the exponent \frac{1}{1.21} in both sides of the equation and we got:

(\frac{0.5}{0.448})^{\frac{1}{1.21}} = x= 1.095grams

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Mai's penny bank is 7/10 full. After she removes 200 pennies, it is 1/2 full. How many pennies can Mai's bank hold?
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Step-by-step explanation:


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Answer:

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