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Nezavi [6.7K]
3 years ago
9

Rachel enjoys exercising outdoors. Today she walked 5 2/3 miles in 2 2/3 hours. What is Rachel's unit walking rate in miles per

hour and in hours per miles?
Mathematics
2 answers:
Dominik [7]3 years ago
5 0
Unit walking rate in miles per hour = 5 2/3 / 2 2/3 = 17/3 / 8/3 = 17/3 x 3/8 = 17/8 = 2 1/8 miles per hour.


Unit walking rate in hours per mile
 
8/17 hours per mile.

Since it's my name I had to answer xD
GarryVolchara [31]3 years ago
4 0

Answer:

Rachel walked 2 ⅛ miles per hour

Rachel used 8/17 hour per mile

Step-by-step explanation:

Working with two units time and distance, where time is in hours and distance is in miles.

Given that she walked 5 2/3 miles in 2 2/3 hours.

Distance covered while she walked = 5⅔ = 17/3 miles

Time taken = 2⅔ = 8/3 hours

To find Rachel's unit walking rate in miles per hour simply implies that, distance Rachael cover in one hour. We will be

Distance covered/time taken = 17/3 ÷ 8/3

= 17/3 x 3/8

= 17/8 = 2 ⅛

i.e Rachel walked 2 ⅛ miles per hour

To find Rachel's unit walking rate in hour per mile simply implies that time in hour used by Rachael to walk one mile. This will be

time taken/distance covered = 8/3 ÷ 17/3

= 8/3 x 3/17

= 8/17

i.e Rachel used 8/17 hour per mile

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gavmur [86]

Answer:  The price per pound of apples is $ 1.25 and the price per pound of bananas is $ 0.75.

Step-by-step explanation:  Given that lydia buys 5 pounds of apples and 3 pounds of bananas for a total of $8.50 whereas Ari buys 3 pounds of apples and 2 pounds of bananas for a total of $5.25.

We are to find the price per pound of apples and bananas.

The cost per pound of apples is represented by x dollars and the cost per pound of bananas is represented by y dollars.

Then, according to the given information, the system of equations describing the situation is as follows:

5x+3y=8.50~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\3x+2y=5.25~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)

Multiplying equation (i) by 2, we have

2(5x+3y)=2\times 8.50\\\\\Rightarrow 10x+6y=17~~~~~~~~~~~~~~~~~~~~~~~~(iii)

and multiplying equation (ii) by 3, we have

3(3x+2y)=3\times 5.25\\\\\Rightarrow 9x+6y=15.75~~~~~~~~~~~~~~~~~~~~~~~~(iv)

To eliminate y, we subtract equation (iv) from equation (iii) and we arrive at

(10x+6y)-(9x+6y)=17-15.75\\\\\Rightarrow x=1.25.

From equation (i), we get

5\times 1.25+3y=8.50\\\\\Rightarrow 6.25+3y=8.50\\\\\Rightarrow 3y=2.25\\\\\Rightarrow y=0.75.

Thus, the price per pound of apples is $ 1.25 and the price per pound of bananas is $ 0.75.

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If (x – 2k) is a factor of f(x), which of the following must be true? f(2k) = 0 f(–2k) = 0 A root of f(x) is x = –2k. A y interc
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You bike for 2 hours at a speed no faster than 17.6 mph. Write an inequality that represents the possible number of miles you bi
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Total no. of hours you spent biking = 2 hours
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17.6 =  \frac{distance}{2}

17.6 *2=  distance

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So, you for given conditions, you can't travel more then 35.3 miles

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Answer:

<u>87,120 ft²</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

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