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ziro4ka [17]
3 years ago
6

Trevor paints 1/6 of the fence surrounding his farm each day. How many days would it take him to paint 3/4 of the fence?

Mathematics
1 answer:
atroni [7]3 years ago
4 0
It would take him four and a half days, or you could round it up to five if that's what you need. Either way, he would then have 3/4 of the fence done

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Davis made 4 clay pots on Friday,7 clay pots on Saturday and clay pots on Sunday. What is the mean number of pots he made each d
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3 years ago
Which formula can be used to find the nth term of a geometric sequence where the fifth term is 1/6 and the common ratio is 1/4?
OlgaM077 [116]

Answer:

a_n = 16(\frac{1}{4})^{n - 1}

Step-by-step explanation:

Given:

Fifth term of a geometric sequence = \frac{1}{16}

Common ratio (r) = ¼

Required:

Formula for the nth term of the geometric sequence

Solution:

Step 1: find the first term of the sequence

Formula for nth term of a geometric sequence = ar^{n - 1}, where:

a = first term

r = common ratio = ¼

Thus, we are given the 5th term to be ¹/16, so n here = 5.

Input all these values into the formula to find a, the first term.

\frac{1}{16} = a*\frac{1}{4}^{5 - 1}

\frac{1}{16} = a*\frac{1}{4}^{4}

\frac{1}{16} = a*\frac{1}{256}

\frac{1}{16} = \frac{a}{256}

Cross multiply

1*256 = a*16

Divide both sides by 16

\frac{256}{16} = \frac{16a}{16}

16 = a

a = 16

Step 2: input the value of a and r to find the nth term formula of the sequence

nth term = ar^{n - 1}

nth term = 16*\frac{1}{4}^{n - 1}

a_n = 16(\frac{1}{4})^{n - 1}

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Let X and Y be the following sets:
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The length of a rectangle is twice its width. If the perimeter of the rectangle is 30m, find its area.
expeople1 [14]

Answer:

If the perimeter of the rectangle is 30cm , find its area. W=5 FOR THE WIDTH. 5*10=50 FOR THE AREA.

Step-by-step explanation:

6 0
3 years ago
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