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3 years ago

{4x+6y=10

Mathematics

2 answers:

I am Lyosha [343]3 years ago

6 0

Infinitely many solutions

Alla [95]3 years ago

4 0

The correct answer is Infinitely many solutions

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Find out the number of combinations and the number of permutations for 8 objects taken 6 at a time. Express your answer in exact

umka2103 [35]

Solution:

The permutation formula is expressed as

$\begin{gathered} P^n_r=\frac{n!}{(n-r)!} \\ \end{gathered}$

The combination formula is expressed as

$\begin{gathered} C^n_r=\frac{n!}{(n-r)!r!} \\ \\ \end{gathered}$

where

$\begin{gathered} n\Rightarrow total\text{ number of objects} \\ r\Rightarrow number\text{ of object selected} \end{gathered}$

Given that 6 objects are taken at a time from 8, this implies that

$\begin{gathered} n=8 \\ r=6 \end{gathered}$

Thus,

Number of permuations:

$\begin{gathered} P^8_6=\frac{8!}{(8-6)!} \\ =\frac{8!}{2!}=\frac{8\times7\times6\times5\times4\times3\times2!}{2!} \\ 2!\text{ cancel out, thus we have} \\ \begin{equation*} 8\times7\times6\times5\times4\times3 \end{equation*} \\ \Rightarrow P_6^8=20160 \end{gathered}$

Number of combinations:

$\begin{gathered} C^8_6=\frac{8!}{(8-6)!6!} \\ =\frac{8!}{2!\times6!}=\frac{8\times7\times6!}{6!\times2\times1} \\ 6!\text{ cancel out, thus we have} \\ \frac{8\times7}{2} \\ \Rightarrow C_6^8=28 \end{gathered}$

Hence, there are 28 combinations and 20160 permutations.

7 0

1 year ago

Solve for y (y/x+6)+1 =(4x/x+6) Enter your answer in the box. y=

k0ka [10]

y = 3x :) hope this helps!

7 0

3 years ago

In some country the budget for defense exceeded the budget for education by $660.4 billion. If x represents the budget for edu

photoshop1234 [79]

Answer:

The budget for defense can be represented as x + 660.4

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Budget for education is $ 660.4 billion less than budget for defense in some country

x = represents the budget for education, in billion of dollars

2. How can the budget for defense be represented?

x = represents the budget for education, in billion of dollars

x + 660.4 = represents the budget for defense, in billion of dollars also

The correct answer is that the budget for defense can be represented as x + 660.4

5 0

3 years ago

Help it’s my last question

Digiron [165]

Answer:

alr so basically what you want to do is multiply the numbers to get the answer

Step-by-step explanation:

6 0

2 years ago

What is the circumference of a 12 inch diameter pizza answer in terms of pi

Sedbober [7]

Answer: 37.69911 in. (Round if necessary)

Steps:
2πr
2·π·6 = 37.69911

8 0

3 years ago

Read 2 more answers