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VashaNatasha [74]
3 years ago
12

Identify the coefficient:3n+9

Mathematics
1 answer:
aev [14]3 years ago
8 0
3 is the coefficient because n is the variable
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Each of six jars contains the same number of candies. Alice moves half of the candies from the first jar to the second jar. Then
tino4ka555 [31]

Answer:

The number of candies in the sixth jar is 42.

Step-by-step explanation:

Assume that there are <em>x</em> number of candies in each of the six jars.

⇒ After Alice moves half of the candies from the first jar to the second jar, the number of candies in the second jar is:

\text{Number of candies in the 2nd jar}=x+\fracx}{2}=\frac{3}{2}x

⇒ After Boris moves half of the candies from the second jar to the third jar, the number of candies in the third jar is:

\text{Number of candies in the 3rd jar}=x+\frac{3x}{4}=\frac{7}{4}x

⇒ After Clara moves half of the candies from the third jar to the fourth jar, the number of candies in the fourth jar is:

\text{Number of candies in the 4th jar}=x+\frac{7x}{4}=\frac{15}{8}x

⇒ After Dara moves half of the candies from the fourth jar to the fifth jar, the number of candies in the fifth jar is:

\text{Number of candies in the 5th jar}=x+\frac{15x}{16}=\frac{31}{16}x

⇒ After Ed moves half of the candies from the fifth jar to the sixth jar, the number of candies in the sixth jar is:

\text{Number of candies in the 6th jar}=x+\frac{31x}{32}=\frac{63}{32}x

Now, it is provided that at the end, 30 candies are in the fourth jar.

Compute the value of <em>x</em> as follows:

\text{Number of candies in the 4th jar}=40\\\\\frac{15}{8}x=40\\\\x=\frac{40\times 8}{15}\\\\x=\frac{64}{3}

Compute the number of candies in the sixth jar as follows:

\text{Number of candies in the 6th jar}=\frac{63}{32}x\\

                                                    =\frac{63}{32}\times\frac{64}{3}\\\\=21\times2\\\\=42

Thus, the number of candies in the sixth jar is 42.

4 0
3 years ago
What percent of 40 is 120?​
aliya0001 [1]

Answer:

the correct answer is 33.33%

5 0
3 years ago
Read 2 more answers
Giving brainliest but has to be a actual answer
vaieri [72.5K]

Answer:

2,800 Books to be the same.

3 0
3 years ago
A vehicle purchased for $20700 depreciates at a constant rate of 5% . Determine the approximate value of the vehicle 10 years af
SVEN [57.7K]

Answer:

I believe it is 12,393.86

5 0
3 years ago
Justin deposited $2,000 into an account 5 years ago. Simple interest was paid on the account. He has just withdrawn $2,876. What
RSB [31]

Answer: 8.76%

Step-by-step explanation:

The formula to find the simple interest is given by :-

I=Prt, where P is the principal amount, r is rate of interest () in decimal and t is the time ( in years).   (1)

Given : Justin deposited $2,000 into an account 5 years ago.

i.e. P = $2,000 ,  t= 5 years

He has just withdrawn $2,876. i.e. Future value = $2,876

Interest (I)=$2,876-$2,000=$876  [Subtract Principal value from Future value]

Substitute all the above values of P , t , and I in the formula (1) , we get

876 =(2000)r(5)\\\\\Rightarrow\ r=\dfrac{876 }{2000\times5}\\\\\Rightarrow r=\dfrac{876}{10000}=0.0876

In percent , r=0.0876\times100=8.76\%

Hence, the rate of interest = 8.76%

6 0
3 years ago
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