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kipiarov [429]
3 years ago
13

The sum of the first n terms of an arithmetic sequence is 242. If the first term is 12 and the last term is 42, find the value o

f n
badly need this rn ​
Mathematics
1 answer:
den301095 [7]3 years ago
6 0

Answer:

Step-by-step explanation:

Sum of first n terms = 243

a_{1} = 12 \\\\l = 42\\\\S_{n} = \dfrac{n}{2}(a_{1}+l)\\\\\dfrac{n}{2}(12+42) = 243\\\\\\\dfrac{n}{2}*54=243\\\\\\n*27=243\\\\n=\dfrac{243}{27}\\\\n=9

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X + 6y = 2 4x - 3y = 10 Pick the first step to solving this system of equations using the addition method.
meriva
<span>x + 6y = 2
4x - 3y = 10

The first thing to do when solving a system of equations using the addition/elimination method is to multiply one or both of the equation by a value that will cancel out one of the variable terms. 

Based on this, the correct answer is D - multiply the bottom equation by 2 thus eliminating the y variable when the equations are added together:

</span>x + 6y = 2                     x + 6y = 2
2(4x - 3y = 10)    -->    8x - 6y = 20<span>

Hope this helps.</span>
6 0
3 years ago
Jared uses 24 tiles to cover the top of his desk. Of the 24 tiles, 3/8 are blue. How many of the tiles are blue?
arlik [135]

Answer:

9

Step-by-step explanation:

Multiply the total number of tiles by the fraction of tiles that are blue

24 *3/8

24/8 *3

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3 0
3 years ago
What is 8-4-5=-2-10+8
Rudiy27

Answer:

<h2>x = 1.3</h2>

Step-by-step explanation:

8-4x-5=-2x-10+8x\qquad\text{combine like terms}\\\\-4x+(8-5)=(-2x+8x)-10\\\\-4x+3=6x-10\qquad\text{subtrac 3 from both sides}\\\\-4x+3-3=6x-10-3\\\\-4x=6x-13\qquad\text{subtract}\ 6x\ \text{from both sides}\\\\-4x-6x=6x-6x-13\\\\-10x=-13\qquad\text{divide both sides by (-10)}\\\\\dfrac{-10x}{-10}=\dfrac{-13}{-10}\\\\x=1.3

5 0
3 years ago
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Simora [160]

Answer:

1/5

Step-by-step explanation:

30 - 24 = 6

6 = 6/30

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8 0
3 years ago
Read 2 more answers
Find x.<br> 24 ft<br> X<br> 10 ft<br> ft
kondor19780726 [428]

Answer:

x = 26 ft

Step-by-step explanation:

Using the right triangle formed by the sides 24 and 10 with hypotenuse x

Applying Pythagoras' identity, then

x² = 24² + 10² = 576 + 100 = 676 ( take the square root of both sides )

x = \sqrt{676} = 26

3 0
3 years ago
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