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3 years ago

what is the sum of the first 25 terms of an arithematic sequence if the sum of its 8th and 18th terms is 72?

Mathematics

1 answer:

max2010maxim [7]3 years ago

7 0

Answer:

900

Step-by-step explanation:

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Solve the equation. 2/3 - 4x 7/2= -9x+ 5/6 step by step

Lostsunrise [7]

Answer: $\bold{x=\dfrac{11}{21}}$

Step-by-step explanation:

$\dfrac{2}{3}-\dfrac{4x+7}{2}=-9x+\dfrac{5}{6}\\\\(6)\dfrac{2}{3}-(6)\dfrac{4x+7}{2}=-9x(6)+(6)\dfrac{5}{6}\qquad \text{(multiplied by LCD) }\\\\4 - 12x-21=-54x+5\qquad \text{(simplified)}\\\\-12x - 17 = -54x + 5\qquad \text{(added like terms)}\\\\42x-17=5\qquad \text{(added 54x to both sides)}\\\\42x = 22\qquad \text{(added 17 to both sides)}\\\\x=\dfrac{22}{42}\qquad \text{(divided both sides by 42)}\\\\x=\dfrac{11}{21}\qquad \text{(reduced the fraction)}$

NOTE: The sign between 4x and 7 is missing in the question you posted. I assumed it was 4x + 7 in order to solve the equation.

6 0

3 years ago

Read 2 more answers

You are downsizing. Your new residence will have much less closet space than does your current home. You have 12 pair of long pa

harkovskaia [24]

Answer:

a) there are 7,854,000 number of ways the random selections can be arranged

b) the required probability is 0.0445

Step-by-step explanation:

Given that;

you have 12 pair of long pants, 6 pair of short pant and 17 t-shirt which in total;

Total = 12 + 6 + 17 = 35

a) number of ways a random selection of 9 pair of long pants, 4 pair of short pants and 13 t-shirts can be arranged;

⇒ [ 12 × [ 6 × [ 17

9 ] 4 ] 13 ]

= (12! / (9! 3!)) (6! / (4! 2!)) (17! / (13! 4!))

= (220) (15) (2380)

= 7,854,000

Therefore there are 7,854,000 number of ways the random selections can be arranged

Number of ways of selecting 25 item from 35 items;

⇒ [ 35

25 ]

(35! / (25! 10!) = 183.579,396

now number of ways to select 10 pair of long pants, 3 pairs of short pantts and 12 t-shirt;

⇒ [ 12 × [ 6 × [ 17

10 ] 3 ] 12 ]

= (12! / (10! 2!)) (6! / (3! 3!)) (17! / (12! 5!))

= (66) (20) (6188)

= 8,168,160

So, Required probability = 8,168,160 / 183,579,396

= 0.0445

So the required probability is 0.0445

5 0

3 years ago

Which is the equation of the line that passes through the points (-4,-8) and (1,3)

Thepotemich [5.8K]

Answer:

−5x+13y=84

Step-by-step explanation:

I hope this is good :)

4 0

3 years ago

Math need help please

Nutka1998 [239]

Answer:

same side interior

Step-by-step explanation:

6 0

3 years ago

I NEED HELP PLEASE, THANKS. :)

solong [7]

Answer:

C. 28.6 $units^2$ , 0.28

Step-by-step explanation:

To find the white portion's area, you add 44 and 47, then multiply it by π $r^2$ :

44 + 47 = 91

$\frac{91}{360}$ (3.14) $(6)^2$

A = 28.574 → A = 28.6

There are 7 parts of the circle, and 2 of them are white. So divide 2 by 7:

2 ÷ 7 = 0.28

4 0

3 years ago

what is the sum of the first 25 terms of an arithematic sequence if the sum of its 8th and 18th terms is 72?​

what is the sum of the first 25 terms of an arithematic sequence if the sum of its 8th and 18th terms is 72?