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3 years ago

What's y in: 21y=(-205) +75+47y

Mathematics

2 answers:

Alenkinab [10]3 years ago

6 0

The Answer Is A Fraction y= 151/47

Bumek [7]3 years ago

5 0

21y=−205+75+47ySimplify: (Show steps)21y=(47y)+(−205+75)(Combine Like Terms)21y=47y+−13021y=47y−130Step 2: Subtract 47y from both sides.21y−47y=47y−130−47y−26y=−130Step 3: Divide both sides by -26.‌−26y−26‌=‌−130−26‌y=5

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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

75 is 24% of what number? I WILL GIVE BRAINLIEST!!!!

Valentin [98]

Answer:

312.5

Step-by-step explanation:

Is means equals and of means multiply

75 = 24% * n

Change to percent form

75 = .24 n

Divide each side by .24

75/ .24 = .24n/.24

312.5 = n

4 0

3 years ago

Which statement is best represented by the inequality c greater-than 3 and one-half?

luda_lava [24]

Answer: Chef Andre used more than 3 and one-half cups of flour.

Step-by-step explanation:

This is the > ‘greater than sign. For the question, we are to get the inequality that shows that"c is greater-than 3 and one-half".

Let Chef Andre be represented by c. Greater than is used to denote a situation when something is."more than" another thing. In this scenario,

Chef Andre used more than 3 and one-half cups of flour. This can be represented as C > 3 1/2.

This is the correct answer.

3 0

3 years ago

Read 2 more answers

Please help me! I'll give brainiest again!

mel-nik [20]

Answer:

48 cubic units.

Step-by-step Explanation:

$x=4$

$3$ random cubic units

$5$ tower-stacked cubic units

$6$ x $x$

$x^2= 4$ x $4$

4 0

3 years ago

Read 2 more answers

The directions are with the question. Please answer numbers 6 through 10, please.

prisoha [69]

Answer:

6) 4 (tiny 5) in the upper corner

7) 9 (tiny 2) in the upper corner

8) 4 (tiny 2) in the upper corner

9) 3 (tiny4) in the upper corner

10) 5 (tiny 5) in the upper corner

Step-by-step explanation:

Once you get the hang of it, it's quite easy! Here are the steps for how I figured it out:

1) Figured out what number they are giving me. For the first one, I saw that they gave me the number 4. For the second one, they gave me the number 9 etc.

2) Next, I looked at each problem individually. For the first one, you know that they are giving you the number 4. You would then count the amount of numbers, in this case 4, that you see in the equation.

3) Now knowing the numbers of numbers in the equation, you'd write it in exponential notation. For the first one, they are giving you the number 4, however, they are giving it to you 5 times. Thus, by writing the number 5, smaller than the number 4, you are allowing you and your math teacher to know that you have to take the number 4 and multiply it by itself 5 times.

4) Try doing this for the others too. Trust me, once you get the hang of it, it's pretty simple. Hope this helped!

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3 years ago