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mixas84 [53]
3 years ago
9

Which answer represents the series in sigma notation? −3+(−1)+1+3+5 A:∑j=15(2j−5)

Mathematics
1 answer:
insens350 [35]3 years ago
8 0

Answer:

A:∑j=15(2j−5)

Step-by-step explanation:

a = -3

d = -1 - (-3) = -1 + 3 = 2

j-th term: a + (j-1)d

-3 + (j - 1)(2)

-3 + 2j - 2

2j - 5

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Students at Mendel Middle School are planning a fair for their school's fundraiser. Liam volunteers to help plan the event. The
FinnZ [79.3K]

Answer:

15 hours

Step-by-step explanation:

x is the number of hours that Liam volunteered in the first month

The next month he volunteered 1\dfrac{2}{3} times the time he volunteered the first month.

Total time he volunteered in the two months is 40 hours so

x+1\dfrac{2}{3}x=40\\\Rightarrow x+\dfrac{5}{3}x=40\\\Rightarrow \dfrac{3x+5x}{3}=40\\\Rightarrow x=\dfrac{40\times 3}{8}\\\Rightarrow x=15

Time he volunteered in the first month is 15 hours.

3 0
3 years ago
Write an algebraic equation based on the description. Two angles form a linear pair. The measure of one angle is 24° more than t
IgorC [24]
<h2><u>Answer:-</u></h2>

Given:

Two angles form a linear pair.

It means sum of their measures = 180°.

And,

Measure of one angle is 24° greater than the other.

Let the other angle be x.

→ First angle = (x + 24)

According to the question,

<h3>→ x + x + 24 = 180</h3>

→ 2x = 180 - 24

→ 2x = 156

→ x = 156/2

<h3>→ X = 78°</h3>

<u>There</u><u>fore</u><u>,</u>

  • 1st angle = 78°
  • 2nd angle = 78° + 24° = 102°

4 0
3 years ago
What is 0.55555 as a fraction
Mandarinka [93]

Answer:

the answer is 1/5

7 0
4 years ago
How would i work out the inequality 3x - 3 &lt; 9?
ehidna [41]

Answer:

x

Step-by-step explanation:

3x-3

     +3   +3

3x

/3      /3

x

Hope this helps!

5 0
3 years ago
What is 90/70<br> Simplified
allsm [11]

As an improper fraction, the simplified answer would be 9/7 after you divide both top and bottom by 10

------------------------

If you need a mixed number, then 9/7 converts to 1 & 2/7 because

9/7 = 1 remainder 2

If you had 9 cookies and 7 friends, then each friend gets 1 whole cookie, and there will be 2 left over.

3 0
3 years ago
Read 2 more answers
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