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Zina [86]
4 years ago
15

Consider a bag containing five red marbles, three green ones, one transparent one, three yellow ones, and three orange ones How

many possible sets of five marbles are there in which all of them red or green? sets Need Help? Read Tate Tutor
Mathematics
1 answer:
Novay_Z [31]4 years ago
4 0

Answer: 56

Step-by-step explanation:

Given : Number of red marbles = 5

Number of green marbles = 3

Number of yellow marbles = 3

Number of  orange marbles = 3

Number of red and green marbles = 5+3=8

Now the possible number of sets (combinations) of five marbles are there in which all of them red or green will be :-

^8C_5=\dfrac{8!}{5!(8-5)!}=\dfrac{8\times7\times6\times5!}{5!3!}=56

Hence, the number of sets of five marbles in which all of them red or green=56

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Garth can row 5 miles per hour in still water. It takes him as long to row 4 miles upstream as 16 miles
Elza [17]

Answer:

The speed of the current is 3 miles per hour

Step-by-step explanation:

The equations for rate (r), distance (d), and time (t) are ⇒ d = rt, r = d/t, = t = d/r

Let x = speed in still water

Let c = speed of the current

The main difference with these problems is rate needs to be expressed using two variables  because moving upstream the current is against you and downstream it moves with you.

Distance Rate Time

Upstream x − c

Downstream x + c

The distance column with the numbers from the problem and the value for speed in  still water for x.

Distance Rate Time

Upstream 4 5 − c

Downstream 16 5 + c

The column for time using the other two columns knowing that  rate,  distance  ⇒ time =  Distance Rate Time

Upstream 4 5 − c

5 − c

4

Downstream 16 5 + c

5 + c

16

“It takes as long …” from the problem means that the two times are equal to each other.  So, the equation can be written as:

4/5− c = 16/5 + c  ⇒ Solve by cross-multiplying ⇒ 5(4 + c) = 16 5( − c) ⇒ c = 3

7 0
3 years ago
Find the measure of each interior angle and each exterior angle of a regular 20-gon (a twenty-sided polygon).Measure of each int
ra1l [238]

Given a regular 20-gon ( a 20 sided polygon )

The measure of each interior angle will be given by:

\frac{(n-2)}{n}\cdot180

where n is the number of sides

Substitute with n = 20

So, the measure of each interior angle =

\frac{20-2}{20}\cdot180=\frac{18}{20}\cdot180=162

The sum of exterior angles = 360

So, the measure of each exterior angle = 360/20 = 18

5 0
1 year ago
A film crew documented the Korowai tribe as they built one of their amazing tree houses . Based on the home construction the cre
luda_lava [24]

Answer: 6 - 6(b +p) = b

Step-by-step explanation:

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4 years ago
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The owner of two hotels is ordering towels. He bought 84 hand towels and 22 bath towels for his hotel in Milford, spending a tot
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Step-by-step explanation:

hand towel is $5

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The weight of an object on the moon is 1/6 its weight on earth. If a bowling ball weighs 12 and 1/2 pounds on earth, how much do
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(12½) ÷ (⅙) = (25/2) ÷ (⅙) = (25/2) × (6/1) =75
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