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
CaHeK987 [17]
3 years ago
10

LaTeX: \frac{27.50\:gallons}{5\:buckets}

Mathematics
1 answer:
Nadya [2.5K]3 years ago
3 0
Answer:
Explanation:
Solve:
You might be interested in
A man is distributing his coin collection with 35 coins to his five grandchildren. How many ways are there to distribute the coi
Musya8 [376]

Answer:

a) 82251

b) 2.91038 \cdot 10^{24}

c) 1

d) 3.17746\cdot 10^{21}

Step-by-step explanation:

a) If the coins are all the same, we have a combination of 35 identical coins in 5 persons.

The amount of combinations is

\binom{n+r-1}{r-1}=\binom{35+5-1}{5-1}=\binom{39}{4}=\frac{39!}{4!35!} =82251

being n the number of coins and r the number of grandchildren.

b) If the coins are different, the number of combinations can be calculated as:

r^n=5^{35}=2.91038 \cdot 10^{24}

c) If the coins are all the same, and each grandchild gets the same number of coins, there is only one combination for that (everyone gets 35/5=7 coins)

d)  If the coins are all distinct, but each of the grandchildren get the same numer of coins, the expression to calculate this is:

\frac{n!}{(n/r)!^r} =\frac{35!}{(35/5)!^5}=\frac{35!}{7!^5}=\frac{1.03331\cdot 10^{40}}{3.25202\cdot 10^{18}} =3.17746\cdot 10^{21}

3 0
3 years ago
Given that B, D and F are midpoints, find the length of segment DA.
TiliK225 [7]

Answer:

The length of segment DA is 15 units

Step-by-step explanation:

  • <em>The segment which joining a vertex of  a triangle and the midpoint of the opposite side to this vertex is called a median </em>
  • <em>The point of intersection of the median of a triangle divides each median into two parts the ratio between them is 1: 2 from the base, which means </em><em>the length of the median is 3 times the part from the base</em><em>  </em>

Let us use this rule to solve the question

In Δ AEC

∵ D is the midpoint of EC

∴ AD is a median

∵ B is the midpoint of AC

∴ EB is a median

∵ F is the midpoint of AE

∴ CF is a median

→ The three medians intersected at a point inside the triangle,

   let us called it M

∵ AD ∩ EB ∩ CF at M

∴ M is the point of intersection of the medians of Δ AEC

→ By using the rule above

∴ AD = 3 MD

∵ MD = 5

∴ AD = 3(5)

∴ AD = 15 units

6 0
3 years ago
Read 2 more answers
18x + 24 = 12x +14. Find the value of (x)​
densk [106]

Answer:

X = -10/6

X = -1,666666666666667

Step-by-step explanation:

First at all you join the X's

18x-12x = 14-24

Then you simplified:

6x = -10

X = -10/6

X = -1,666666666666667

3 0
3 years ago
Read 2 more answers
Select the expression equivalent to (2.1x + 4.3) - (-3x - 7)
Andrew [12]
X= 5.1x+11.3
Explanation : combine like terms which is 5.1x and 3x and you get the answer D!
4 0
3 years ago
Read 2 more answers
Can someone pls help I need help ASAP
almond37 [142]

all correct choices are as follows: a, b, c

3 0
3 years ago
Other questions:
  • Is the following correspondence a function
    15·2 answers
  • Which steps could be used to solve this story problem?
    5·2 answers
  • What is the 9th term of the geometric sequence that begins 2,1, ....
    8·1 answer
  • Factor completely 3x2 − x − 4.
    13·1 answer
  • What is the value of x in the proportion x + 1 / x+3 = 15/ 21<br> a.4<br> b.1/3<br> c.1/4<br> d.3
    14·2 answers
  • Help please....and thank you
    13·1 answer
  • What is the domain of this function?
    10·1 answer
  • NEED ANSWER ASAP WILL GIVE BRAINLIEST FOR CORRECT ANSWER
    9·1 answer
  • Evaluate the expression 3 + 5 x 6 − 7. 21 24 26 27
    9·2 answers
  • Which expressions are equivalent to 6*6*6*6*6?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!