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joja [24]
3 years ago
5

Robyn saves up $204 and spends $32.50 on books. She wants to purchase more books from a sale where they cost $8.15 each. Which a

nswer gives the best estimate for the number of books Robyn can buy?
Mathematics
1 answer:
andre [41]3 years ago
7 0

Answer: 21 books

Step-by-step explanation:

I am estimating $32.50 to $33.

Remaining amount= 204 - 33 = $171

$8.15 = $8

$171 ÷ $8 = 21.375

Estimated answer = 21 books.

By reading the question it feels like there are options to choose from for the final answer. If it is, then choose the one which seems as close as possible to what I have got above.

Hope this helps :)

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The general solution of e x cosydx−e x sinydy=0 is :__________
Natasha2012 [34]

Answer:

General solution    x   = log | sec y | + C            

Step-by-step explanation:

<u><em>Step(i)</em></u>:-

Given

          e^{x} cosy dx - e^{x} sin y d y = 0

         e^{x} (cosy dx = e^{x}  sin y d y

           cos y dx = sin y d y

                dx = tan y d y

<u><em>Step(ii)</em></u>:-

now integrating on both sides , we get

            \int\limits {1} \, dx  = \int\limits {tany} \, dy

by using formula

               \int\limits {tany} \, dy = log | sec y | + C

             x   = log | sec y | + C

<u><em>Final answer:</em></u>-

General solution    x   = log | sec y | + C

           

     

       

7 0
3 years ago
a certain colony of bacteria doubles in size every 5 minutes if the colony began with two organisms how many will there be after
mezya [45]

Answer:

There will be 128 organisms after 30 minutes.

Step-by-step explanation:

30/5=6

1.) 2*2=4

2.) 4*2=8

3.) 8*2=16

4.) 16*2=32

5.) 32*2=64

6.) 64*2=128

7 0
3 years ago
I need help on this question
GrogVix [38]
A trapezoid does not have a rotational line of symmetry
5 0
4 years ago
Read 2 more answers
How many gallons of a 50% antifreeze solution must be mixed with 90 gallons of 10% antifreeze to get a mixture that is 40% antif
Aloiza [94]

Answer:

x = 270 gallons

270 gallons of a 50% antifreeze solution must be mixed with 90 gallons of 10% antifreeze to get a mixture that is 40% antifreeze

Step-by-step explanation:

Let x represent the number of gallons of the 50% antifreeze solution.

The volume of the 10% antifreeze is = 90 gallons

The volume of the mixture that is 40% antifreeze = 90+x

The amount of antifreeze in the two solutions must be equal to the amount of anti freeze in the mixture;

50% of x + 10% of 90 = 40% of (90+x)

0.50(x) + 0.10(90) = 0.40(90+x)

0.50x + 9 = 36 + 0.40x

Collecting the like terms;

0.50x - 0.40x = 36-9

0.10x = 27

x = 27/0.10

x = 270 gallons

270 gallons of a 50% antifreeze solution must be mixed with 90 gallons of 10% antifreeze to get a mixture that is 40% antifreeze

5 0
3 years ago
a child puts $1.00 into a piggy bank. one week later, he puts $1.25 in the bank. two weeks later, he puts $1.50 in the bank, and
Levart [38]

He puts 100$ in the bank on the 25th week.

<h3>What is a bank?</h3>

An example of a financial institution that lends money is a bank, which both collects deposits from the public and creates demand deposits. Through the capital markets, the bank may engage in lending activities directly or indirectly.

Banks are heavily regulated in most countries because they are essential to the financial stability and economic health of a nation. The fractional reserve banking system, in which banks maintain liquid assets that are only partially comparable to their current liabilities, has been institutionalized in the majority of countries. In addition to other constraints intended to assure liquidity, banks are often subject to minimum capital requirements based on an international set of capital norms known as the Basel Accords.

Explanation:

First term(a_{1})= 1

Common difference= 1.25-1=0.25

a_{25}=1+(25-1).25\\           =1+(24)(.25)\\ = 1+6\\=7

S_{25}=\frac{25}{2}  (1+7)\\=\frac{25}{2}(8)\\ =100

To learn more about bank ,visit:

brainly.com/question/14042269

#SPJ4

7 0
2 years ago
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