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Nat2105 [25]
3 years ago
14

A restaurant serves custom-made omelets, where guests select meat, cheese, and vegetables to be added to their omelet. There are

6 vegetables available, and guests may select any 2 vegetables for their omelet. How many different combinations of 2 vegetables are possible?
from were get the 5 and 4
Mathematics
1 answer:
FrozenT [24]3 years ago
7 0

Answer:

15 possible combinations

Step-by-step explanation:

Given

Vegetables = 6

Selection = 2

Required

Determine the possible number of combinations

The question emphasizes on "selection" which means "combination".

So; To answer this question, we apply the following combination formula:

^nC_r = \frac{n!}{(n-r)r!}

In this case:

n = 6

r = 2

The formula becomes:

^6C_2 = \frac{6!}{(6-2)!2!}

^6C_2 = \frac{6!}{4!2!}

^6C_2 = \frac{6*5*4!}{4!2*1}

^6C_2 = \frac{6*5}{2}

^6C_2 = \frac{30}{2}

^6C_2 = 15

<em>Hence, there are 15 possible combinations</em>

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4 0
2 years ago
A certain truck weighs 2 metric tons. A person weighing 60 kilograms gets in the truck, followed by a 70 kilogram person. How ma
Gala2k [10]
1 metric ton is 1000 kilograms
2 metric tons is 2000 kg.
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3 0
3 years ago
Chris can be paid in one of two ways. Plan A is a salary of
Lilit [14]

Answer

$6000

Step-by-step explanation:

Using the formulas

PLAN A

y = .09x + 350

PLAN B

y = .03 + 704

He makes $890 on plan A and only $884 on plan B

5 0
3 years ago
1) A ball is dropped from a height of 50 feet. How long after it is dropped will it reach a height of 18 feet?
Nookie1986 [14]

Answer: 1.41 seconds

Step-by-step explanation:

The problem gives the initial velocity by saying "dropped." This indicates a velocity of zero. Acceleration can also be found because the object is in free fall. It would experience the acceleration of gravity. We can use the kinematic equation:

(y_f-y_i)=V_it+\frac{1}{2}at^2

The velocity term completely cancels because the object was dropped with an initial velocity of 0.

(18-50)=\frac{1}{2} (32.17)t^2\\

-32=-16.085t^2\\t=\sqrt{1.989} =1.41s

8 0
3 years ago
An artist is creating a stained glass design. She uses a lead border around each piece. The radius of the circle is 2 ¼ in. Use
NARA [144]

Answer:

The correct answer is -

a. 4.5 inches.

b. side or arm (a)

c. (a) or 4.5, and 18

d. (d) 4.5, and 14.1428

e. 22/7 × r^2 = 15.90

Step-by-step explanation:

Given :

Radius or r = 2 ¼ inches

Solution:

a. the diameter of the circle -

d = 2r

= 2 ¼  *2

= 2.25*2

= 4.5

b. The diameter of the circle is the same length as one side or arm of the square which is

a = d = 4.5

c. The perimeter of the square

P = 4a = 4d = 4*4.5 = 18

d. Perimeter of the circle =

2πr = πd = (22/7)*4.5

= 14.1428

e. the area of the circle =

22/7 × r^2

= 15.90

4 0
3 years ago
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