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vovikov84 [41]
3 years ago
12

In his boat, Sheldon can travel 45 mi downstream in the same time that it takes to travel 9 mi upstream. If the rate of the curr

ent is 6 mph, find the rate of the boat in
still water.
Mathematics
1 answer:
Nataliya [291]3 years ago
7 0

Answer:

9 mph

Step-by-step explanation:

-let x be the speed of current and t be time. The speed equation for both directions can then be represented as:

Speed=\frac{Distance}{Time}\\\\\#Upstream\\(u-6)t=9\\\\\#Donwstream\\\\(u+6)t=45

#Since t is equal in both, we can do away with t.

#We the divide the downstream equation by the upstream equation as:

\frac{u+6}{u-6}=\frac{45}{9}\\\\(u+6)=5(u-6)\\\\u+6=5u-30\\\\4u=36\\\\u=9

Hence, the boat's speed in still water is  9 mph

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Sammy calculated the total amount that he deposited by <em>adding up the total amount deposited in each account.</em>

  • The Checking account is used to pay for fixed and variable essential expenses.  In this account, Sammy deposited $1,712.

  • The Cash account is used for non-essential expenses, like snacks, etc.  A total of $260 was deposited into this account.

  • The Emergency Savings account is used for both other predictable and unpredictable expenses.  A total of $340 was deposited into the account.

  • For the Vacation Savings account, it is used to carter for other long-term expenses.  A total of $50 was deposited into the account.

  • When these accounts are added up, the total deposit made by Sammy can be calculated to be $2,362 ($1,712 + $260 + $340 + $50).

Data and Calculations:

Accounts             Checking   Cash Account    Emergency     Vacations

                                                                             Savings         Savings

Expenses:

Essential (fixed)       $1,292

Essential (variable)      420

Non-essential                                  $260

Other predictable                                                   $130

Other (unpredictable)                                              210

Other (long-term)                                                                        $50

Total                       $1,712              $260             $340             $50

Thus, Sammy calculated the total amount that he deposited by adding up the total deposit in each account.

Link for related question:

brainly.com/question/22429629

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