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Roman55 [17]
3 years ago
5

Please help me, I'm stuck on this math problem. There is an attachment. Thank you!

Mathematics
1 answer:
pishuonlain [190]3 years ago
6 0

Answer:

7

Step-by-step explanation:

Divide 427 and 61 to find the quotient.

427 ÷ 61

= 7

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The sum of the first ten terms of a linear sequence is 145. the sum of the next ten term is 445. find the sum of the first four
chubhunter [2.5K]

The sum of the first four terms of the sequence is 22.

In this question,

The formula of sum of linear sequence is

S_n =\frac{n}{2}(2a+(n-1)d)

The sum of the first ten terms of a linear sequence is 145

⇒ S_{10} =\frac{10}{2}(2a+(10-1)d)

⇒ 145 = 5 (2a+9d)

⇒ \frac{145}{5} =2a+9d

⇒ 29 = 2a + 9d  ------- (1)

The sum of the next ten term is 445, so the sum of first twenty terms is

⇒ 145 + 445

⇒ S_{20} =\frac{20}{2}(2a+(20-1)d)

⇒ 590 = 10 (2a + 19d)

⇒ \frac{590}{10}=2a+19d

⇒ 59 = 2a + 19d -------- (2)

Now subtract (2) from (1),

⇒ 30 = 10d

⇒ d = \frac{30}{10}

⇒ d = 3

Substitute d in (1), we get

⇒ 29 = 2a + 9(3)

⇒ 29 = 2a + 27

⇒ 29 - 27 = 2a

⇒ 2 = 2a

⇒ a = \frac{2}{2}

⇒ a = 1

Thus, sum of first four terms is

⇒ S_4 =\frac{4}{2}(2(1)+(4-1)(3))

⇒ S_4 =2(2+(3)(3))

⇒ S₄ = 2(2+9)

⇒ S₄ = 2(11)

⇒ S₄ = 22.

Hence we can conclude that the sum of the first four terms of the sequence is 22.

Learn more about sum of sequence of n terms here

brainly.com/question/20385181

#SPJ4

6 0
1 year ago
Iodine-125 has a half-life of about 60 days. How many milligrams of a 1000 mg sample will remain after 240 days?
Tomtit [17]

240 days is 4 times the half-life, which means that a sample of 1000 mg will decay to

\dfrac{1000}{2^4}=\dfrac{125}2=62.5\,\mathrm{mg}

after 240 days.

3 0
3 years ago
Bruce owns a business that produces widgets. He must bring in more in revenue than he pays out in costs in order to turn a profi
Aliun [14]
I believe the answer is 267

If each is worth $25 and it costs $10 then he is making $15 profit.

4000/15 is 266.6666667

So you would need 267
8 0
3 years ago
Help!!!! Will give brainliest!!!!
Gwar [14]

Answer:

is true your answer hhhhhhhhgghdhxhhchdjfjf

5 0
2 years ago
Help please match with the words
12345 [234]

Answer:

Perpendicular

Skew

Parallel

Step-by-step explanation:

First one : the lines intersect and they form right angles

The second one : they don't intersect and appear on separate planes

The last : they are both sides of a rectangle on the same plane

8 0
3 years ago
Read 2 more answers
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