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Ad libitum [116K]
2 years ago
5

Write the series 1-0.5-2+ ... for 12 terms using summation notation

Mathematics
1 answer:
lions [1.4K]2 years ago
5 0

Answer:

The series

            1 -0.5-2-3.5 -5-6.5-8-9.5-11-12.5-14-15.5 upto 12 terms

Step-by-step explanation:

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

Given series  1 -0.5 -2 +.........

we know that the sum of the sequence is called a series

The sequence is 1, -0.5, -2, -3.5,.....is in AP

a = 1 and the difference between the two terms is equal 'd' = -1.5

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

<u><em>adding 1.5 value of each term</em></u>

The series

            1 -0.5-2-3.5 -5-6.5-8-9.5-11-12.5-14-15.5 upto 12 terms

<u><em></em></u>

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$0.15

Step-by-step explanation:

1/4 of a can = 0.25 cans

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if 0.25 cans is 1/16 of 4, then the price of 0.25 cans would be 1/16 of $2.40

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Please help me with these questions
Mars2501 [29]

Slope of a Line Passing through two points (x₁ , y₁) and (x₂ , y₂) is given by :

\spadesuit\; Slope(m) = \frac{y_1 - y_2}{x_1 - x_2}

Given Points are (8 , 30) and (18 , 60)

here x₁ = 8 and x₂ = 18 and y₁ = 30 and y₂ = 60

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We know that the form of line passing through point (x₀ , y₀) and having slope m is : y - y₀ = m(x - x₀)

Here the line passes through the point (8 , 30)

⇒ x₀ = 8 and y₀ = 30

We found Slope(m) = 3

Substituting all the values in the standard form, We get :

Equation of the line : y - 30 = 3(x - 8)

Let d be the x-intercept of this line

⇒ The line passes through the point (d , 0) as at x-intercept, y-coordinate is zero.

⇒ 0 - 30 = 3(d - 8)

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3 years ago
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Answer:

80

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Let the number of children be y

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This will give two equations as shown below

x + y = 240  <em>total admissions......................... equation 1</em>

5x + 2.5y = 800  <em>total money paid..................equation 2</em>

<em />

<em>Making x the subject of formula in equation 1</em>

x=240-y<em>......................................................equation 3</em>

Substituting equation 3 into equation 2

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1200 - 5y + 2.5y = 800 <em>grouping like terms</em>

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