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OverLord2011 [107]
2 years ago
5

Amirah's family is driving to her uncle's house. The family travels 383.5 miles between 10:15 am and 4:45 pm. Calculate the fami

ly's average rate of travel for the day. Write your answer as decimal rounded to the nearest tenth.
Mathematics
2 answers:
ddd [48]2 years ago
5 0

Answer:

The family's average rate of travel for the day was 59.0 MPH.

Step-by-step explanation:

From 10:15AM to 4:45PM, they travelled a distance of 383.5 miles and a total of 6 hours and 30 minutes.

There are 60 minutes in an hour. 30 minutes translates into 1/2 an hour or .5

So, 6.5 hours and a total distance of 383.5 miles.

Velocity (MPH) = Distance (in miles) / Time (in hours)

MPH means Miles Per Hour

Variables:

Velocity (MPH) = x

Distance (in miles) = 383.5

Time (in hours) = 6.5

Plug in the variables into the formula

x = 383.5 / 6.5

Divide

x = 59.0 MPH

Leviafan [203]2 years ago
5 0

Answer:

59 miles/hr

Step-by-step explanation:

To solve this, lets make the time in 24 hours format:

10:15 am = 10 hours and 15 minutes

4:45 pm = 16 hours and 45 minutes

so time taken = ( 16 hours and 45 minutes ) - ( 10 hours and 15 minutes )

                       = 6 hours 30 minutes

                       = [6 + (30/60)] hours

                       = 6.5 hours taken for the journey to complete

Average rate of travel = Total distance / time taken

                                     = 383.5 / 6.5

                                     = 59 miles/hr

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Answer:

\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}

30  = - 5(6b + 6)

<u>let's simplify the parenthesis first ~</u>

30 =  - 30b  - 30

<u>now , bring the like terms at one side of the equation !</u>

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4 0
3 years ago
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dybincka [34]
The answer is 14.
(7x+25)+(3x+15)=180
x=14
7 0
3 years ago
Thorium -228 is a radioactive substance that decays 50% every 1.9 years. How much of a 50 gram sample will exist after 22.8 year
Evgesh-ka [11]

Answer:

A=0.0122\ gr

Step-by-step explanation:

The exponential decrease formula that we must use is:

A=A_0e^ {-kt}

Where A is the amount of thorium as a function of time

A_0 is the initial amount and k is the decrease rate

We know that initially there are 50 gr and that you decay 50% every 1.9 years.

So

A=A_0*0.5=50*0.5 = 25\\\\t=1.9

25=50e^ {-k(1.9)}

We solve the equation for k

0.5=e^ {-k(1.9)}

ln(0.5)=ln(e^ {-k(1.9)})

ln(0.5)=-k(1.9)

-1.9k=ln(0.5)

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After 22.8 years the amount of thorium that exists is:

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Answer:

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Step-by-step explanation:

If all were measure 5, the perimeter would be 30. The perimeter is 4 more than that. Each side that is 6 instead of 5 adds 1 to the perimeter, so there are 4 sides of length 6.

_____

<em>Check</em>

2×5 + 4×6 = 10 + 24 = 34 . . . . the answer checks OK

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Step-by-step explanation:

350-320.76=29.24

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