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GenaCL600 [577]
3 years ago
14

Given A25=176 and the common difference of the arithmetic is 8, find a52.

Mathematics
1 answer:
poizon [28]3 years ago
3 0
A is a series of the form a(n) = 8n + b.
Since a(25) = 176, you can see that b = 176-8*25 = -24.

Then a(52) = 8*52 -24 = 392
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(Before you answer I am looking for how I do it. I have the answers but I need to know an equation to do this instead of using l
Tema [17]

Answer:

14 and 16.

Step-by-step explanation:

We know that two consecutive even numbers is 30.

Let's let n be <em>any number</em>.

Then the first <em>even</em> number must be 2n.

This is because n can be any number, either even or odd. However, if we multiply it by 2, this <em>ensures</em> that 2n is even. Remember that any number multiplied by 2 yields an even number.

Therefore, the consecutive even number will be (2n+2). Not (2n+1), because that gives an odd number.

We know that they sum to 30. So, we can write the following equation.

(2n)+(2n+2)=30

And we solve from there:

4n+2=30\\\Rightarrow4n=28\\\Rightarrow n=7

So, the value of n is 7.

Therefore, the first even number is 7(2)=14.

And the consecutive even number is 16.

Edit: Typo

7 0
2 years ago
I NEED HELP PLEASE !!!!
Sergio [31]

Answer:

Step-by-step explanation:

2x + 3.5x + 15 = -1.5

5.5x + 15 = -1.5

5.5x = -16.5

x = -3

y = 3.5(-3) + 15

   = -10.5 + 15

    = 4.5

(-3, 4.5)

7 0
3 years ago
If 270°&lt;θ&lt;360°, and tan⁡ θ= - 1/2, what is the value of tan⁡(−θ)?
stiv31 [10]

Check the picture below.

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since we know that θ is on the IV Quadrant, then its negative counterpart must be across the line, and tangent is negative on the IV Quadrant, and positive on the I Quadrant.

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My name is Ann [436]

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4/5 of a number is more than 3/4 of the number by 5.find the numbers
Nastasia [14]
4/5 of x -3/4 of x =5
solution by LCM

16x-15x/20 =5
x/20 =5
x=100
<span>answer 100</span>
8 0
3 years ago
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