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blagie [28]
2 years ago
7

There are 8 person including a married couple Mr and Mrs Sharma from whom a committee of 4 has to be chosen.In how way can the c

ommittee be chosen:(1)If both Mr and Mrs Sharma are excluded,(2)If Mrs Sharma included but Mr Sharma excluded,(3)If both Mr and Mrs Sharma are included.​
Mathematics
1 answer:
djverab [1.8K]2 years ago
3 0

Answer:

Step-by-step explanation:

1.) 6C4= 15

2.) (1C1)*(6C3)= 20

3.) (2C2)*(6C2)= 15

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Sophie and Simon are peeling a pile of potatoes for lunch in the cafeteria. Sophie can peel all the potatoes by herself in 45 mi
tensa zangetsu [6.8K]
Short Answer: 18 minutes
Remark

The answer to this problem is less than the smallest time of the two people working together. that fact lets out C and D (38 minutes and 75 minutes). Now you have to choose 15 minutes and 18 minutes. There's a method. No guessing needed.

Givens
Let the time for Sophie = S
Let the time for Simon = M
Let the job to completion = 1 
S = 45 minutes
M = 30 minutes

Step One
Convert minutes to hours.
45 minutes = 45 / 60 = 3/4 hour = 0.75 hour
30 minutes = 30 / 60 = 1/2 hour = 0.50 hour

Step Two
Set up the Equation
The formula is a form of job / hour.
Let the time = t that they both have to work

job = 1 in these problems.
1/S + 1/M = 1/t
1/0.75 + 1/0.5 = 1/t

Solve
1 ÷ 0.75 = 1.33333
1 ÷ 0.5 = 2

1.3333 + 2 = 3.33333 
3.3333 = 1 / t                    Multlply both sides by t
3.3333*t = 1
t = 1 / 3.333333333
t = 0.3 of an hour


1 hour = 60 minutes
0.3 hours = x              Cross Multiply
x = 60 * 0.3
x = 18 minutes

Answer working together it took them 18 minutes  <<<<< 
6 0
3 years ago
Read 2 more answers
Please help me please thank you
AleksandrR [38]

Answer:

x = 15

Step-by-step explanation:

angles 2 and 4 are supplementary so they add up to 180

2x + 10 + 4x + 80 = 180

6x + 90 = 180

6x = 90

x = 15

7 0
3 years ago
Read 2 more answers
During gym class, Alexis played dodgeball for 34 hour.
IRISSAK [1]

the soultion in 20

Step-by-step explanation:

first get the 34 hour of dogeball and get the 14 hour of basketball subtract 34 - 14 first 4 - 4 = 0 then 30 - 10 = 20

6 0
2 years ago
Read 2 more answers
Screen shot is below Evaluate Functions From a Graph please help! thanks!
IrinaK [193]
As determined by the graph, f(-9) = 9
6 0
3 years ago
Read 2 more answers
2. (01.07 MC)
Elena-2011 [213]
Part A: subtract 6 from both sides
Divide by -3 on both sides
X=-3
Part B: add like terms (-2K-3k)
Add 12 to both sides
Add 5k to both sides
Divide by 5 on both sides
K=3
Part C: distribute 6 into the parentheses
Add like terms together (36-5)
Subtract 1 from both sides
Subtract 36v from both sides
Divide by -30 on both sides
-1=v

7 0
2 years ago
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