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ad-work [718]
3 years ago
15

POSSIBLE POINTS 6.67

Mathematics
1 answer:
rusak2 [61]3 years ago
3 0

Answer:

8 kitchen towels and 4 dishcloths!

Step-by-step explanation:

first equation is 3x + 2y = 32

second equation is 5x - 2y = 32

add the two equations together to get 8x = 64

solve for x to get x = 64 / 8 = 8

replace x with 8 in the first equation to get 24 + 2y = 32  

solve for y to get y = 8/2 = 4

you have x = 8 and y = 4

first equation becomes 24 + 8 = 32

second equation becomes 40 - 8 = 32

the solution checks out ok.

solution is x = 8 and y = 2 which means he bought 8 kitchen towels and 4 dishcloths on his first trip.

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Step-by-step explanation:

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3 years ago
If the sum of the first 12 terms of a geometric series is 8190 and the common ratio is 2. Find the first term and the 20th term.
Reil [10]

The first term is 2 and the 20th term is 1048576 .

<u>Step-by-step explanation:</u>

Here we have , If the sum of the first 12 terms of a geometric series is 8190 and the common ratio is 2. We need to Find the first term and the 20th term. Let's find out:

We know that Sum of a GP is :

⇒ S_n = \frac{a(r^n-1)}{r-1}

So ,Sum of first 12 terms is :

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Now , nth term of a GP is

⇒ a_n = ar^{n-1}

So , 20th term is :

⇒ a_2_0 = 2(2)^{20-1}

⇒ a_2_0 = (2)^{20}

⇒ a_2_0 = 1048576

Therefore , the first term is 2 and the 20th term is 1048576 .

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