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Ratling [72]
4 years ago
7

Joy organized a wedding.

Mathematics
1 answer:
Arte-miy333 [17]4 years ago
6 0
The fraction of people choosing veg was 1 - 1/3 - 5/12 = 1/4 and this was 23 people. 
<span>Total guests 4*23 = 92</span>
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PLEASE HELP ILL MARK BRAINLIEST !!!
Alexus [3.1K]

Answer:

a) the common difference is 20

b) x_8=115 , x_{12}=195

c) the common difference is -13

d) a_{12}=52, a_{15}=13

Step-by-step explanation:

a) what is the common difference of the sequence xn

Looking at the table, we get x_3=16, x_4=36 and x_5= 56

Deterring the common difference by subtracting x_4 from x_3 we get

36-16 =20

So, the common difference is 20

b) what is x_8? what is x_12

The formula used is: x_n=x_1+(n-1)d

We know common difference d= 20, we need to find x_1

Using x_3=16 we can find x_1

x_n=x_1+(n-1)d\\x_3=x_1+(3-1)d\\15=x_1+2(20)\\15=x_1+40\\x_1=15-40\\x_1=-25

So, We have x_1 = -25

Now finding x_8

x_n=x_1+(n-1)d\\x_8=x_1+(8-1)d\\x_8=-25+7(20)\\x_8=-25+140\\x_8=115

So, \mathbf{x_8=115}

Now finding x_{12}

x_n=x_1+(n-1)d\\x_{12}=x_1+(12-1)d\\x_{12}=-25+11(20)\\x_{12}=-25+220\\x_{12}=195

So, \mathbf{x_{12}=195}

c) what is the common difference of the sequence a_m

Looking at the table, we get a_7=104, a_8=91 and a_9= 78

Deterring the common difference by subtracting a_7 from a_8 we get

91-104 =-13

So, the common difference is -13

d) what is a_12? what is a_15?

The formula used is: a_n=a_1+(n-1)d

We know common difference d= -13, we need to find a_1

Using a_7=104 we can find x_1

a_n=a_1+(n-1)d\\a_7=a_1+(7-1)d\\104=a_1+7(-13)\\104=a_1-91\\a_1=104+91\\a_1=195

So, We have a_1 = 195

Now finding a_{12} , put n=12

a_n=a_1+(n-1)d\\a_{12}=a_1+(12-1)d\\a_{12}=195+11(-13)\\a_{12}=195-143\\a_{12}=52

So, \mathbf{a_{12}=52}

Now finding a_{15} , put n=15

a_n=a_1+(n-1)d\\a_{15}=a_1+(15-1)d\\a_{15}=195+14(-13)\\a_{15}=195-182\\a_{15}=13

So, \mathbf{a_{15}=13}

5 0
3 years ago
You are going to play mini golf. a ball machine that contains 19 green golf balls, 25 red golf balls, 20 blue golf balls, and 24
larisa86 [58]
Pr(blue) = 20/88 = 5/22
3 0
3 years ago
A light bulb consumes 1440 watt-hours per day. How long does it take to consume 6480 watt-hours?
melisa1 [442]

The number of days it will take to consume the given power = 4.5 days

<h3>Calculation of energy consumption</h3>

The amount of power consumed per day = 1440watt-hours

Therefore X days = 6480 watt-hours?

Make X the subject formula;

X = 1 × 6480/1440

X = 4.5 days

Therefore, The number of days it will take to consume the given power = 4.5 days.

Learn more about energy consumption here:

brainly.com/question/2900615

#SPJ1

5 0
2 years ago
Can you guys help me. I will mark you as a brainliest. And give you a really good rating.
Nikitich [7]

Add 5ft 7in and 4ft 8in together

5ft 7in + 4ft 8in = 10ft 3in

6 0
3 years ago
Read 2 more answers
Jim is hiking 4 1/2 mile trail.He has already hiked 2 5/8 miles.How much further does he have to hike?
musickatia [10]

Answer:

1 7/8

Step-by-step explanation:

2 5/8

+1 7/8= 4 1/2

  1. 7=3+4
  2. 5+3=8
  3. 2 5/8 + 3/8= 3
  4. 3 + 1= 4
  5. 4 + 4/8= 4 4/8
  6. 4 4/8 = 4 1/2

3 0
3 years ago
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