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igomit [66]
2 years ago
10

John drove from station A to station B a distance of 224 miles. On his way back, he increased his speed by 10 mph. If the journe

y back took him 24 minutes less, what was his original speed?
Mathematics
1 answer:
meriva2 years ago
5 0

Answer: 70 mph

Step-by-step explanation:

224/x =224/x+10 +24/60

Solve equation

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An anthropologist finds that a prehistoric bone contains less than 8.1% of the amount of Carbon-14 the bones would have containe
stealth61 [152]

Answer:

20,944 years

Step-by-step explanation:

The formula you use for this type of decay problem is the one that uses the decay constant as opposed to the half life in years.  We are given the k value of .00012.  If we don't know how much carbon was in the bones when the person was alive, it would be safer to say that when he was alive he had 100% of his carbon.  What's left then is 8.1%.  Because the 8.1% is left over from 100% after t years, we don't need to worry about converting that percent into a decimal.  We can use the 8.1.  Here's the formula:

N(t)=N_{0} e^{-kt}

where N(t) is the amount left over after the decay occurs, N_{0} is the initial amount, -k is the constant of decay (it's negative cuz decay is a taking away from as opposed to a giving to) and t is the time in years.  Filling in accordingly,

8.1=100e^{-.00012t}

Begin by dividing the 100 on both sides to get

.081=e^{-.00012t}

Now take the natural log of both sides.  Since the base of a natual log is e, natural logs and e "undo" each other, much like taking the square root of a squared number.

ln(.081)= -.00012t

Take the natual log of .081 on your calculator to get

-2.513306124 = -.00012t

Now divide both sides by -.00012 to get t = 20,944 years

4 0
2 years ago
Six neighbors share 4 pies equally how much of a pie does each neighbor get
salantis [7]
Divide 4 by 6. Easier if you write it as a fraction: 4/6 This can be reduced to 2/3.   This means that each person gets 2/3 of a pie equally.
8 0
2 years ago
Read 2 more answers
12. Brad sells ice cream and soft drinks at outdoor festivals. He buys soft drinks for 50 cents per can and ice cream bars for $
Damm [24]
Well, he made $100 off of drinks, and $135 off of ice cream bars. 

Then to find his profit take $235 - $31.50 = $203.50

There's your answer! $203.50 was his profit.
4 0
2 years ago
The manager of a video game store found that 35 of the 140 people who preordered the latest baseball game canceled their orders
Arte-miy333 [17]

Answer:    \frac{1}{16}


Step-by-step explanation:

Given: The manager of a video game store found that 35 of the 140 people who preordered the latest baseball game canceled their orders the day before the game was released.

The probability that two customers who preorder the newest golf game will both cancel their orders the day before the game is released

=\frac{35}{140}\times\frac{35}{140}=\frac{1}{4}\times\frac{1}{4}=\frac{1}{16}

Hence, The probability that two customers who preorder the newest golf game will both cancel their orders the day before the game is released is \frac{1}{16}.

5 0
2 years ago
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Pepper jackie used a precision hydrometer to perform an experiment at 2 local restaurants to determine which restaurant uses the
NISA [10]

Answer:

. ALL of the beverages at The Zest Nest ARE LIKELY to contain 46 grams of sugar or less, but NONE of the beverages at Jim's juice joint ARE LIKELY to contain LESS THAN 46 grams of sugar.




3 0
2 years ago
Read 2 more answers
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