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laiz [17]
3 years ago
5

Find the nth term of this number sequence 18, 16, 14, 12,... Pls help

Mathematics
2 answers:
Gnom [1K]3 years ago
4 0

Answer:

20 - 2n

Step-by-step explanation:

The sequence is arithmetic since the difference between consecutive terms is constant, that is

d = 16 - 18 = 14 - 16 = 12 - 14 = - 2

The n th term of an arithmetic sequence is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = 18 and d = - 2, thus

a_{n} = 18 - 2(n - 1) = 18 - 2n + 2 = 20 - 2n

a_{n} = 20 - 2n

hodyreva [135]3 years ago
3 0
Step - by - step - explanation

So first find out the pattern. As you can see it just minuses 2 each time. So first

18, 16, 14, 12 (then minus another 2) equals 10, 8, 6, 4, 2.

So 2 is the ninth of the pattern, so 2 will be your answer.

Hope this helps.
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A grocer wants to mix nuts costing 5.00 per kilogram with nuts costing 8.00 per kilogram to make a 10 kilogram mixture for 6.00
vladimir1956 [14]

Step-by-step explanation:

let E be weight of expensive nuts, C be cheaper nuts

E*8+C*5=10*6 value equation

E+C=10 mass equation

Solve it by any method, I will do determinants

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E= (60-50)/3=10/3 =3.33 lb

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1 year ago
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kifflom [539]
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2 years ago
Given the equation 4x + 7 = 3(2x − 5), solve for the variable. Explain each step and justify your process. B. Sam solved a simil
arlik [135]
Equation: 4x + 7 = 3(2x - 5)

Step-by-step solution:

• Expand brackets

-> 4x + 7 = 6x - 15

• Move x variable to a side and the numbers to another

-> 4x - 6x = -15 - 7

• Solve

-> -2x = -22

• Multiply both sides by (-1)

-> -(-2x) = -(-22)
-> 2x = 22

• Divide both sides by 2

-> x = 22/2

-> x = 11

• Justification
-> Put x = 11 in original equation
-> 4(11) + 7 = 3( 2(11) - 5)
-> 44 + 7 = 3(22 - 5)
-> 51 = 3(17)
-> 51 = 51
-> 51 - 51 = 0
-> 0 = 0
Since both sides are equal to each other, the answer to the equation is correct.

I don't know Sam's equation so I'm not gonna answer that.
5 0
3 years ago
Solve the inequalities<br><br> -7d + 8 &gt; 29
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3 years ago
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Natali5045456 [20]

Answer:

8.75cm²

Step-by-step explanation:

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L = theta/360 * 2pir

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3.5 = theta/360 * 31.4

theta/360 = 3.5/31.4

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theta = 0.11146 * 360

theta = 40.13 degrees

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Area of the sector = 40.13/360 * 3.14*25

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Hence the area of the sector is 8.75cm²

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2 years ago
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