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user100 [1]
3 years ago
6

Find the sum of the sequence 36 37 38 39 ... 109=

Mathematics
1 answer:
uysha [10]3 years ago
8 0
It's an arithmetic sequence:

a_1=36;\ a_2=37;\ a_3=38;\ ...\ ;\ a_{74}=109\\\\S_n=\dfrac{a_1+a_n}{2}\cdot n\\\\a_1=36;\ n=74;\ a_{74}=109\\\\S_{74}=\dfrac{36+109}{2}\cdot74=\dfrac{145}{2}\cdot74=72.5\cdot74=5365
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Which of the following expressions are equivalent to -19/8 x(-50)
dmitriy555 [2]

1. Move the negative sign to the left.

-
\frac{19}{8}X*-50

2. Use this rule: \frac{a}{b}*\frac{c}{d}=\frac{ac}{bd}

-\frac{19x*-50}{8}

3. Simplify -  \frac{-950x}{8}

4. Move the negative sign to the left.

-(-950x/8)

5. Simplify 950x/8 to 475x/4

6. Remove parentheses.

5 0
2 years ago
Max competed in a 50-meter freestyle swimming event. His finishing time was 31.26 seconds. What is the value 6 in Max's time (pl
miss Akunina [59]

Answer:

2.9 seconds

Step-by-step explanation:

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2 years ago
Ahmed is creating clay at home for an art project. The recipe calls for 8 cups of water and 3 cups of flour. Ahmed would like to
Paha777 [63]

Answer:

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5 0
3 years ago
Does anyone know??? ???
Sidana [21]

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4 0
3 years ago
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ohaa [14]

The number three (3) when decreased by fifteen (15) is four (4) times its opposite.

In this exercise, you're required to solve for an unknown number by using a variable to represent the number in relation to the known variables (constants) and representing it as an algebraic expression.

  • Let the number be x.

Translating the word problem into an algebraic expression, we have;

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Rearranging the algebraic expression by (collecting like terms), we have;

x \; + \;4x = 15\\\\5x = 15

Dividing both sides by 5, we have;

x = \frac{15}{5}

<em>x = 3</em>

<em>Therefore, number </em><em>three</em><em> </em><em>(3) </em><em>when </em><em>decreased</em><em> by </em><em>fifteen (15)</em><em> is </em><em>four (4) </em><em>times its </em><em>opposite.</em>

<em>Find more information: brainly.com/question/15605874</em>

6 0
3 years ago
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