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victus00 [196]
3 years ago
14

A certain law firm consists of 4 senior partners and 6 junior partners. How many different groups of 3 partners can be formed in

which at least one member of the group is a senior partner?
Mathematics
1 answer:
lina2011 [118]3 years ago
8 0

Answer:100

Step-by-step explanation:

There are ten total people:

10C3

10!/(7!×3!) = 120

Note: but that includes all the cases where there are no senior partners

So firstly let figure out the number of cases where there are no senior partners

because there are 6 junior partners

6C3

= 6!/(3!×3!) = 20

120 - 20 = 100 or the number of possible groups where there is at least 1 senior partner.

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You have to rotate/mirror

Step-by-step explanation:

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3 years ago
ABCD is a parallelogram. Segment AC = 4x + 10. Find the value of x and y.
valkas [14]

Answer:

The values of x and y in the diagonals of the parallelogram are x=0 and y=5

Step-by-step explanation:

Given that ABCD is a parallelogram

And segment AC=4x+10

From the figure we have the diagonals AC=3x+y and BD=2x+y

By the property of parallelogram the diagonals are congruent

∴ we can equate the diagonals AC=BD

That is 3x+y=2x+y

3x+y-(2x+y)=2x+y-(2x+y)

3x+y-2x-y=2x+y-2x-y

x+0=0 ( by adding the like terms )

∴ x=0

Given that segment AC=4x+10

Substitute x=0  we have AC=4(0)+10

=0+10

=10

∴ AC=10

Now (3x+y)+(2x+y)=10

5x+2y=10

Substitute x=0, 5(0)+2y=10

2y=10

y=\frac{10}{2}

∴ y=5

∴ the values of x and y are x=0 and y=5

5 0
4 years ago
2 over 3 times 5 show your answer as a multiplication equation of a whole number and a fraction
romanna [79]
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3 years ago
If Jaime is riding at 14 miles per hour and Cori is riding at 0.40 km per minute, how far will each of them bike in two hours? 1
natali 33 [55]

Answer:

Jaime: d = 45.08\ km

Cori: d = 48km

Step-by-step explanation:

Given

V_1 = 14\ miles/hour

V_2 = 0.40\ km/hour

Time\ (t)\ = 2\ hours

Solving Jaime Distance;

d = vt

Substitute values for v and t

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Convert to kilometer

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d = 45.08\ km

Solving Cori Distance:

d = vt

Substitute values for v and t

d = 0.40km/min * 2\ hours

Convert hours to minute

d = 0.40km/min * 2 * 60\ min

d = 0.40km * 2 * 60

d = 48km

3 0
3 years ago
What is the slope of the line shown?​
lana66690 [7]

Answer:

I can's make out the line, but, you can plot two points, (try to make them whole numbers ie (3,6), (4,8)), subtract the point with the smallest x value from the other point ((4,8)-(3,6)=(1,2)) Divide the new y, by the new x (2/1), and you have your slope.

Step-by-step explanation:

7 0
3 years ago
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