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DerKrebs [107]
3 years ago
8

A salad bar offers vegetable platters in 4 sizes (small, medium, large, and super-sized) and 6 different vegetables to choose fr

om. Different platters can be created by changing the size and/or the choice of vegetables. If Selena wants to order a platter with exactly 2 different vegetables, how many different platters could she create?
Mathematics
1 answer:
quester [9]3 years ago
6 0

Answer: She could create 60 platters.

Step-by-step explanation:

Given: A salad bar offers vegetable platters in 4 sizes (small, medium, large, and super-sized) and 6 different vegetables to choose from.

Number of combinations of selecting <em>r</em> things from <em>n</em> things is given by:-

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

So, the number of combinations of selecting 2 different vegetables from 6 = ^6C_2=\dfrac{6!}{2!4!}=\dfrac{6\times5}{2}=15

Now, By Fundamental counting principle, the number of different platters she could create = (number of ways of selecting 2 different vegetables from 6) x (Number of sizes)

= 15 x 4

= 60

Hence, she could create 60 platters.

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Find the distance between (-7,-2) and (11,3)
jarptica [38.1K]

Answer:

The answer is

<h2>\sqrt{349}  \:  \: units</h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

<h3>d =  \sqrt{ ({x1 - x2})^{2} +  ({y1 - y2})^{2}  }   \\</h3>

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-7,-2) and (11,3)

The distance between the points is

<h3>d =  \sqrt{ ({ - 7 - 11})^{2} +  ({ - 2 - 3})^{2}  }  \\  =  \sqrt{ ({ - 18})^{2} +  ({ - 5})^{2}  }  \\  =  \sqrt{324 + 25}  \\</h3>

We have the final answer as

<h3>\sqrt{349}  \:  \: units</h3>

Hope this helps you

5 0
3 years ago
Please I need help on this
sveta [45]

Answer: the answer is 45.5, which the second bubble down.


Step-by-step explanation:


6 0
3 years ago
Help ppppppppppppllllllllllllllllsssssssss
iVinArrow [24]

Answer:

The correct option is D ....

Step-by-step explanation:

Angle is ending at the point = (-3, -4)

Signs of both x and y are negative therefore it is in the third quadrant.

To find the the tangent of an angle we have to find  the ratio of the length of the opposite side to the length of the adjacent side.

In this question the opposite side of the angle is of 4 units and the adjacent side of the angle is 3 units.

tanθ = y/x

tanθ = -4/-3

tanθ = 4/3

Thus the correct option is D ....

5 0
3 years ago
Line p has a slope of -7/8
Alik [6]

Answer:

The slope of line q is -\frac{7}{8}.

Step-by-step explanation:

We know that line p has a slope of -\frac{7}{8}, and that line p and line q are parallel. Parallel lines always have the same slope. Thus, the slope of line q must be -\frac{7}{8} as well.  

6 0
2 years ago
Si 4x= 5/6y entonces 5y=
Hunter-Best [27]

Answer:

5y=24x

Step-by-step explanation:

<em>The question in English is</em>

If 4x= 5/6y then 5y=

we have

4x=\frac{5}{6}y

Solve for 5y

Multiply both sides by 6

6*4x=(6)*\frac{5}{6}y

Simplify

24x=5y

Rewrite

5y=24x

8 0
3 years ago
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