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Arada [10]
3 years ago
11

1/2x + 3/2 (x + 1) - 1/4 = 5

Mathematics
1 answer:
kompoz [17]3 years ago
6 0
The answer to your problem is x= 15/8 as decimal form it’s 1.875
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For each of these lists of integers, provide a simple formula orrule that generates the terms of an integer sequence that begins
Anuta_ua [19.1K]

Answer:

b) next three terms of the sequence are 47, 51, 55

c) The next three terms are 1100, 1101, 1110

d) The next three items in the sequence are therefore, 8,8,8

f) The next three terms are 654729075, 13749310575, 316234143225

g) Therefore the next three items in the sequence are 0,0,0

Step-by-step explanation:

b)7, 11, 15, 19, 23, 27, 31, 35, 39, 43, ...

the common difference, d = T_{2} - T_{1} = 11 - 7 = 4

a_{n} = a_{n-1} + 4

43 + 4 = 47

47 + 4 = 51

51 + 4 = 55

next three terms of the sequence are 47, 51, 55

c)  1, 10, 11, 100, 101, 110, 111, 1000, 1001, 1010, 1011,...

Each of these terms are binary numbers of 1,2,3,4........

The 1st next term is the 12th term = 1100₂

The second next term  is the 13th term = 1101₂

The third next term is the 14th term = 1110₂

The next three terms are 1100, 1101, 1110

d)  1, 2, 2, 2, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, ...

1 is repeated 1 time , 2 is repeated 3 times, 3 is repeated 5 times, 5 is repeated 7 times, the next number will sure be repeated 9 times( the repetition follows an odd number pattern)

To know the next number that will be repeated 9 times:

1+2 = 3

2+3 = 5

3 + 5 = 8

The pattern is that the previous summation adds to the preceding number

The next three items in the sequence are therefore, 8,8,8

f)  1, 3, 15, 105, 945, 10395, 135135, 2027025, 34459425,...

The above sequence follows the pattern a_{n} = a_{n-1} (2n -1)\\

The next three terms are the 10th, 11th and 12th terms

a₁₀ = 34459425((2*10)-1)

a₁₀ = 654729075

a₁₁ = 654729075((2*11)-1)

a₁₁ = 13749310575

a₁₂ = 13749310575((2*12)-1)

a₁₂ = 316234143225

The next three terms are 654729075, 13749310575, 316234143225

g) 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1,...

The sequence changes between 1 and 0. 6 zeros are expected next

Therefore the next three items in the sequence are 0,0,0

8 0
2 years ago
Read 2 more answers
Find the equation of the line passing through (2,-1) and parallel to the line 2x-y=4
Free_Kalibri [48]

Answer:

y = 2x - 5

Step-by-step explanation:

The equation has to have the same slope -- in this case, it is 2 -- to be parallel to 2x - y = 4.

Now we have y = 2x - k.

Then, we plug in the coordinates to our new equation to solve for k.

-1 = 2(2)-k

-1 = 4-k

k = 5

So the final equation would be y = 2x - 5

6 0
3 years ago
Juanita has a pail with capacity of 96 fluid ounces. How many pints will the pail hold ?
Sloan [31]
I think it is 16 I am not sure because I did not do it I am just guessing
4 0
3 years ago
Read 2 more answers
Bill claims that he found the actual December temperature by adding either –5 + 3 or 3 + –5.
MaRussiya [10]

Answer:

This would be the commutative property because in either order the sum will always be the same.

You were asking about the property type, right?

8 0
2 years ago
596 divided by 3 using long divison
Basile [38]

Answer:

198.6 with the remaining 6

Step-by-step explanation:

596/3

596/3 = 198.666666667 as a decimal form

596/3 = 198.67 in 2 decimal places

596/3 = 198.7 to the nearest tenth

596/3 = 198.67 to the nearest hundredth

596/3 = 198.667 to the nearest thousandth

3 0
2 years ago
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