1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Aleksandr [31]
3 years ago
14

Cindy has 6 identical pink candies and 8 identical green candies. Find the number of ways that Cindy can line up her candies in

a row, so that there are exactly four places where a pink candy is next to a green candy. One example is $PPGGGPPPGGGGGP.$
Mathematics
1 answer:
Daniel [21]3 years ago
4 0

Answer:

175 ways

Step-by-step explanation:

Form a partition into 2 or 3 parts and the number of ways.

Pink candies

[1,5](2) , [2,4](2) , [3,3](1) , [1,4](3), [1,2,3](6) , [2,2,2](1)

Green candies

[1,7](2) , [2,6](2) , [3,5](2) , [4,4](1) , [1,1,6](3) , [1,2,5](6) , [1,3,4](6) , ,[2,2,4](3) , [2,3,3](3)

Number of ways will be:

(2+2+1) (2+6+6+3+3) + (3+6+1)(2+2+2+1)

Number of ways =( 5×21) + (10×7) = 175ways

You might be interested in
PLEASE HELP ILL GIVE 20 POINTS
Molodets [167]
Area of smaller triangle: \dfrac12\cdot4\cdot2=4

Area of larger triangle: \dfrac12\cdot6\cdot3=9

Area of inner rectangle: 6\cdot4=24

Total area: 2\cdot4+2\cdot9+24=50\text{ cm}^2
7 0
3 years ago
Read 2 more answers
Simplify the radical expression 5/64
klemol [59]

Answer:

40

Step-by-step explanation:

5√64 = 5 x 8 = 40

6 0
3 years ago
Find the angle between u= V51 - 8; and v= 151+x. Round to the nearest tenth of a degree.
Igoryamba
Not sure if your trying to solve for x or v

6 0
3 years ago
Lizette wanted to see if it would be possible to use a little less materials in a tea infuser but still not be required to be at
Oksi-84 [34.3K]

Considering the volume of a rectangular prism, since the new volume is greater than the filled volume, the new dimensions would work, and 90.29% of the infuser would be filled.

<h3>What is the volume of a rectangular prism?</h3>


The volume of a rectangular prism of length l, width w and height h is given by:

V = lwh.

The original dimensions are:

h = 7.9 cm, l = 3 cm, w = 1.5.

Hence the volume in cm³ was:

V = 7.9 x 3 x 1.5 = 35.55 cm³.

The infuser was filled to 80% capacity, hence:

Vf = 0.8 x 35.55 = 28.44 cm³.

For the new dimensions, we have that h = 7 cm, hence the volume is:

Vn = 7 x 3 x 1.5 = 31.5 cm³.

28.44/31.5 x 100% = 90.29%.

Since the new volume is greater than the filled volume, the new dimensions would work, and 90.29% of the infuser would be filled.

More can be learned about the volume of a rectangular prism at brainly.com/question/17223528

#SPJ1

4 0
2 years ago
what is the monthly payment for a loan if the amount to finance is 12,385, the APR is 6.9 percent for 5 years and the monthly pa
dimulka [17.4K]
<span>$12,385 APR = 6.9% 5 years= $864.565 monthly payment per $100 is $2.44 $12,385 + $864.565 =$13,222.565/60 =$220.37+ $2.44(2) =$225.25 Monthly</span>
4 0
3 years ago
Read 2 more answers
Other questions:
  • How do you solve this question ? (Mr.borders has $145 in his savings account. He earns $36 a week mowing lawns. If mr. Borders s
    8·2 answers
  • Which exponential function is represented by the table? f(x) = 2(2x) f(x) = 0.8(0.8x) f(x) = 2(0.8x) f(x) = 0.8(2x)
    5·2 answers
  • What is 100 and 4 subtracted from negative 42?
    14·1 answer
  • Solve for x: |2x 6| − 4 = 20
    5·1 answer
  • Anybody who could help me with this
    10·2 answers
  • In a certain year, when she was a high school senior, Idonna scored 620 on the mathematics part of the SAT. The distribution of
    15·1 answer
  • Find the smallest possible value of a quadratic equation
    15·1 answer
  • A university will add fruit juice vending machines to its classroom buildings if the student body president is convinced that mo
    9·1 answer
  • I WILL MARK BRAINIEST
    15·1 answer
  • What is the fraction shown above?
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!