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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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A clothing company sells slacks that are either blue or gray and pleated or non-pleated. Last month, the company sold 5 times as
qwelly [4]

Answer:

138 pairs

Step-by-step explanation:

The number of blue pleated slacks is 5 times the number of gray pleated slacks, so:

blue\ pleated = 5 * gray\ pleated (eq1)

The number of gray non-pleated is twice the number of blue non-pleated slacks, so:

blue\ nonpleated = 2 * gray\ nonpleated (eq2)

The total number of blue slacks is 333, and the total number of gray slacks is 225, so we have that:

blue\ pleated + blue\ nonpleated = 333 (eq3)

gray\ pleated + gray\ nonpleated = 225 (eq4)

If we add (eq1) and (eq2), we have:

blue\ pleated + blue\ nonpleated = 5*gray\ pleated + 2*gray\ nonpleated (eq5)

Using (eq3) and (eq4) in (eq5), we have:

333 = 2*225 + 3*gray\ pleated

gray\ pleated = 117/3 = 39

From (eq1), we have:

blue\ pleated = 5*39 = 195

From (eq3), we have:

blue\ nonpleated = 333 - 195 = 138

3 0
3 years ago
On a map, the distance from Happy Hill Park to Rainbow Valley Park is 4/1/2 inches. The scale is 1/2 inch: 3 miles. What is the
Studentka2010 [4]

we are given

The scale is

\frac{1}{2} inch=3miles

the distance from Happy Hill Park to Rainbow Valley Park is 4 1/2 inches

we can change it into rational form

and we get

=\frac{9}{2}inch

so, we can multiply both sides by 9

9*\frac{1}{2} inch=9*3miles

now, we can simplify it

\frac{9}{2} inch=27 miles

so, the actual distance between the two parks is 27 miles........Answer

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Jose was going to sell all of his stamp collection to buy a video game. After selling half of them he changed his mind. He then
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How to solve -6x + 5y=-6 -3y
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You need two equations to solve a two-variable equation.

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Which number is an irrational number?
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The answer is d. it isn’t an exact number
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