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Ugo [173]
3 years ago
8

Bred has to paint a wall with 8 horizontal stripes. He has enough paint only for 5 blue, 5 red and 5 white stripes. If he can us

e at most 2 colors, how many different ways he can paint the wall.
Mathematics
1 answer:
Kay [80]3 years ago
6 0

Answer:

336

Step-by-step explanation:

Required Formulas:-

1. Number of ways to select x things out of n things = ⁿCₓ

2. Number of ways to arrange n things when a things and b things are similar = n!/(a!*b!)

Since we have to choose 8 colors and we are having 3 different colors, it is only possible when we select 2 different colors (e.g. 5 red and 3 blue). To find all possible ways we will have to find all unique arrangements of selected color.

Using formula (1), number of ways to select 2 colors out of given 3 colors = ³C₂ = 3

Using formula (2), finding all unique arrangements when 5 stripes are of one color and 3 stripes are of second color = 8!/(3!*5!) = 56

Suppose, we can choose 5 stripes from red color and 3 stripes from blue color or 5 strips from blue color and 3 strips from red color. So there are 2 possibilities of arranging every 2 colors we choose .

∴ Answer=3*56*2 = 336

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Write a formula that will compute the final grade for the course, using G to represent the final grade, H to represent the homew
Tasya [4]

Answer:

To calculate final grade we use the formula:

Final grade = H( the weight of h) + Q( the weight of q) + P (the weight of project) +T (the weight of test) + F(the weight of final exams).

This formula help us to calculate the grade we need to get.

Step-by-step explanation:

Solution:

Suppose grade breakdown for certain college course is as follow:

Homework = 15%

Quizzes = 20%

Project = 10%

Test = 40%

Final exam= 15%

Let G represent the final grade

H represents homework average,

Q represents quizzes and P represent project, T represent test average and F represent final exam.

To calculate final grade we use the formula:

Final grade = H( the weight of h) + Q( the weight of q) + P (the weight of project) +T (the weight of test) + F(the weight of final exams).

This formula help us to calculate the grade we need to get.

8 0
3 years ago
James has 24 shirts 18 pants and 16 shoes (pairs) how many combinations of shirt shoes and pants if he wears his favorite shirt(
kodGreya [7K]

multiply pants  & shoes

16 x 18 = 288


5 0
3 years ago
If cos 0 =8/17, what is sin 0?
ipn [44]

Answer:

sin=15/17

Step-by-step explanation:

Use the definition of sine to find the value of

sin (0)

sin (0) = opp/hyp

THEN

Substitute in the known values.

sin (0) = 15/17

3 0
1 year ago
Evaluate f(x)=2x-5 for x=3
Fiesta28 [93]
F(x)=2(3)-5
f(x)=6-5
f(x)=1
3 0
3 years ago
Roberto decorates retangular signs. One sign is 2/3 foot long and 1/4 foot wide. Another sign is 1/2 long and 1/3 foot wide. It
PilotLPTM [1.2K]

Answer:

It'll take him 1/4 hours to decorate the two signs.

Step-by-step explanation:

In order to know how long Roberto will take to decorate all the signs we need to find their surface area, since they're rectangular their area is given by the product of their dimensions.

First sign:

area1 = (2/3)*(1/4) = 2/12 = 1/6 foot²

Second sign:

area2 = (1/2)*(1/3) = 1/6 foot²

The total area he has to paint is the sum of their individual areas, so we have:

total area = area1 + area2 = 1/6 + 1/6 = 2/6 = 1/3 foot²

To find out how long he'll take to decorate this area we can use a rule of three as shown bellow:

3/4 hour -> 1 foot²

x hour -> 1/3 foot²

x = (3/4)*(1/3) = 1/4 hours

3 0
3 years ago
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