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Hoochie [10]
2 years ago
15

4,12,20 find the 41st term

Mathematics
2 answers:
ale4655 [162]2 years ago
8 0

Answer:

324

Step-by-step explanation:

The sequence observed appears to be an arithmetic sequence. The formula for an arithmetic sequence is an = a1 + (n - 1)d, where an is the nth term, a1 is the first term, n is the term position, and d is the common difference. Let's write down what we know.

n = 41

a1 = 4

d = 8

So, let's plug our values into the equation and solve.

an = 4 + (41 - 1)8

an = 4 + (40)8

an = 4 + 320

an = 324

Irina-Kira [14]2 years ago
4 0

Answer:

The 41st term of the given series is 324

Step-by-step explanation:

a= 4

a2= 12

d= a2-a

d= 12-4 = 8

now, we have to find 41 term that is a41

a41 = a+ 40d

a41= 4+ 40× 8

a41= 4+ 320

= 324

therefore the 41st term is 324

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3 years ago
Your class raised money by selling hot dogs and hamburgers. Hot dogs were sold for $.50 (fifty cents), and hamburgers were sold
LenKa [72]

Answer:

Number of hot dogs sold =  56

Number of  hamburgers sold = 52

Step-by-step explanation:

Let

Number of hot dogs sold = x

Number of  hamburgers sold = y

We can make equation from given equations:

0.50x+1y=80 (Hot dogs were sold for $.50 (fifty cents), and hamburgers were sold for $1 (one dollar). The total money raised by your class was $80. )

x+y=108  (Together you sold 108 hot dogs and hamburgers.)

Now we cam solve these system of equations to find value of x and y

0.50x+y=80--eq(1)\\x+y=108--eq(2)

Subtract both equations to get value of x:

0.50x+y=80\\x\:\:\:\:\:\:\:\: + y=108\\-\:\:\:\:\:\:\:\: -\:\:\:\:\:\: -\\---------\\-0.5x=-28\\x=\frac{-28}{-0.5}\\x=56

We get value of x = 56

Now putting value of x in equation 2 to find value of y

x+y=108\\56+y=108\\y=108-56\\y=52

So, we get y = 52

Therefore,

Number of hot dogs sold = x = 56

Number of  hamburgers sold = y = 52

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Brian claims that he can eat a pie that is divided into six equal pieces In two minutes.If he can eat the whole pie in two minut
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Answer:

He have to eat each piece in  \frac{1}{3} \ minute.

Step-by-step explanation:

Given:

Brian claims that he can eat a pie that is divided into six equal pieces In two minutes.

If he can eat the whole pie in two minutes.

Now, to find the time he have to eat for each piece.

So, to solve by using unitary method:

If Brian can eat 6 pieces in = 2 minutes.

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