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Tanzania [10]
3 years ago
9

I am thinking of a number.

Mathematics
2 answers:
Naddik [55]3 years ago
4 0

Answer:

Step-by-step explanation:

Charra [1.4K]3 years ago
3 0
9x-84=4x-18
5x=66
x=13.2
your number is 13.2
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A committee consisting of 4 faculty members and 5 students is to be formed. Every committee position has the same duties and vot
Zina [86]

<u>Answer: </u>

The number of ways to form the committee is formed = 637065

<u>Solution: </u>

The number of combinations of n things such that m things taken together are given by:-

C_{(\boldsymbol{n}, \boldsymbol{m})}=\frac{n !}{m !(\boldsymbol{n}-\boldsymbol{m}) !}

Given Data:

A committee consisting of 4 faculty members and 5 students is to be formed.  There are 12 faculty members and 13 students eligible to serve on the committee.

Then, the number of ways to form the committee is formed given by :-

\begin{array}{l}{12 C_{4} \times 13 C_{5}} \\\\ {=\frac{12 !}{4 !(12-4) !} \times \frac{13 !}{5 !(13-5) !}} \\\\ {=\frac{12 !}{4 ! 8 !} \times \frac{13 !}{5 ! 8 !}} \\\\ {\frac{12 \times 11 \times 10 \times 9 \times 8 !}{27 \times 8 !} \times \frac{13 \times 12 \times 11 \times 10 \times 9 \times 8}{120 \times 8 !}} \\\\ {=637065}\end{array}

Hence, the number of ways to form the committee is formed = 637065

7 0
3 years ago
Henry just got a job at the mall. His job pays an hourly rate of $10.25.
nadezda [96]

Answer:

A. He will have to work 40 hours to buy the headphones

B.  1200 ≤ 10.25x ≤ 2000    where x is # of hrs worked

He can work anywhere between 118 and 196 hours.

Step-by-step explanation:

A. Divide 399.95 by 10.25 to get 39.01 hours. But since you cant work 0.01 of an hour, you have to round up to the next hour

B. You want to make more than or equal to 1200, so put that in the inequality. You want to make less or equal to 2000, so you put that in the inequality. In the middle, you put 10.25 an hour multiplied by the number of hours, which is a variable.

To solve, I made 10.25x = 1200, and x equaled 117.07, which rounds up to 118 hours because you cant work a 0.07 of an hour. 118 hours is the low number of the spectrum.

To solve for the highest number on the spectrum, you do 10.25x = 2000, and x equals 195.12, but since you cant work 0.12 of an hour, it rounds up to 196 hours.

3 0
1 year ago
Gia bought a pound of cheese and used 1/4 of it. She split the rest into 5 equal portions for lunch during the week. Which expre
Reptile [31]
Gia already used 1/4. 3/4 divided by 5 = 3/20
7 0
3 years ago
Which graph best represents the line y= -1/5x+2
vodomira [7]

Answer:

B

Step-by-step explanation:

Line crosses y-axis at 2.

Slope = \frac{-1}{5}

For each 1 square the line rises/falls it moves to the right/left 5 squares.

Negative slope lines are downhill left to right.  

8 0
3 years ago
Read 2 more answers
Evaluate xy-x; use c =4, and y =4​
Ilya [14]

Answer:

12

Step-by-step explanation:

You would substitute

4(4)-4

then simplify

16-4

then subtract

12

4 0
3 years ago
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