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Vanyuwa [196]
2 years ago
10

Eric invited 200 of his friends to his graduation party. 75% of those invited said yes. 15% said no. The rest said maybe. 10% of

those that said yes did not turn-up. Half of those that said maybe managed to attend anyway. How many friends attended the party?
Mathematics
1 answer:
Ilia_Sergeevich [38]2 years ago
4 0

Answer:

145

Step-by-step explanation:

75% of 200 = 150

75% + 15% = 90%

100% - 90% = 10%

10% of 200 = 20

10% of 150 = 15

150 + 15  - 20 = 145

145 friends attended the party.

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Write the following series in sigma notation.<br> 7 + 16 + 25 +34 +43 +52 + 61
Solnce55 [7]

The series 7 + 16 + 25 +34 +43 +52 + 61 is an illusration of arithmetic series

The sigma notation of the series is: \sum\limits^7_{n=1} {9n - 2}

<h3>How to write the series in sigma notation?</h3>

The series is given as:

7 + 16 + 25 +34 +43 +52 + 61

The above series is an arithmetic series, with the following parameters

  • First term, a = 7
  • Common difference, d = 9
  • Number of terms, n = 7

Start by calculating the nth term using:

a(n) = a + (n - 1) * d

This gives

a(n) = 7 + (n - 1) * 9

Evaluate the product

a(n) = 7  - 9 + 9n

Evaluate the difference

a(n) = 9n - 2

So, the sigma notation is:

\sum\limits^7_{n=1} {9n - 2}

Read more about arithmetic series at:

brainly.com/question/6561461

3 0
2 years ago
A= 1/2 h(a+b) solve for b
irakobra [83]

Answer and Step-by-step explanation:

Solve for b.

A = (\frac{1}{2}) (h)(a+b)

Divide by h and multiply by 2 from both sides.

\frac{2A}{h} = a+ b

Subtract a from both sides.

(\frac{2A}{h} ) - a = b

3 0
3 years ago
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Ymorist [56]

Answer:

197in^2

Step-by-step explanation:

5x5=25(top face)

5x5=25(left face)

9x5=45(bottom face)

6.4x5=26(right face)

Front and behind face: trapezoid area (trapezoid formula h x (a+b)/2)

(5+9)/2 x 5=7x5=35

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Semenov [28]

earrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :  

                    p*x+57-(-75*x+q)=0

In this type of equations, having more than one variable (unknown), you have to specify for which variable you want the equation solved.

Unless there is none then in that case there very well may be infinite solutions

7 0
3 years ago
Which situation could be represented by 5 divided by 1/2
valina [46]

Answer:

C: Roman has a 5-liter jug of water. How many half-liter bottles of water can he fill?

Step-by-step explanation:

5 ÷ 1/2

A: Roman has a half liter jug of water. How many 5-liter bottles of water can he fill?   .5 ÷ 5

B: Roman has a 10-liter jug of water. How many half-liter bottles of water can he fill?   10 ÷ .5

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