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3 years ago

Solve for x with step by step explanation

Mathematics

1 answer:

HACTEHA [7]3 years ago

6 0

0.85x-100<80

collect like terms

0.85x<80+100

0.85x<180

divide by 0.85

x<211.8

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Determine sum of the first 16 terms (S16) for an arithmetic series given the first tem is 9 (a = 9) and

Mekhanik [1.2K]

$\boxed{Sum=624}$

<h2>Explanation:</h2>

The nth term of an arithmetic series ( $a_{n}$ ) and the sum of an arithmetic series (Sum), for n terms, can be found as:

$a_{n}=a_{1}+d(n-1) \\ \\ Sum=\frac{n}{2}[2a_{1}+(n-1)d] \\ \\ \\ Where: \\ \\ a_{1}:First \ term \\ \\ d:Common \ difference \\ \\ n=Number \ of \ term$

So, in this exercise:

$a_{1}=a=9 \\ \\ d=4 \\ \\ n=16 \\ \\ \\ Sum=\frac{16}{2}[2(9)+(16-1)4] \\ \\ Sum=8[18+(15)4] \\ \\ Sum=8[18+60] \\ \\ Sum=8[78] \\ \\ \boxed{Sum=624}$

<h2>Learn more:</h2>

Missing numbers in triomino: brainly.com/question/10510270

#LearnWithBrainly

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3 years ago

7. Which is the best buy? 6 shirts for $25.50 4 shirts for $18.00 5 shirts for $21

ratelena [41]

5 shirts for $21

the 6 deal would be $4.25 for each shirt

4 deal would be $4.50 for each shirt

and the 5 deal is the cheapest because its $4.20 for each shirt

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What is 0.04 is 1/10 of what number ?

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bixtya [17]

Normal circle area is πr², which is (d/2)²π.
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Using the figure of the bullseye above, what is the probability that a shooter will hit the 3rd ring? Express your answer as a p

melisa1 [442]

The probability of hitting the third ring is the same as finding what percentage is the area of the third ring out of the total area of the board.

The area of the third ring = The total area of the board - The area of the second circle.

Refer to the diagram below
The diameter for the whole circle = 32 in
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The diameter for the second circle = 22 in
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The area of the second circle = π(11)² = 121π

The area of the third ring = 256π - 121π = 135π

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