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2 years ago

GUYS PLEASE HELP ALMOST DUE

Mathematics

1 answer:

umka2103 [35]2 years ago

4 0

Answer:

1/5

Step-by-step explanation:

y = 12

12 = 1/5 x 60

12= 12

y = 9

9 = 1/5 x 45

9 = 9

and so on and it always results to one fifth

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A committee must be formed with 5 teachers and 4 students. If there are 6 teachers to choose from, and 15 students, how many dif

ZanzabumX [31]

Answer:

8190 ways

Step-by-step explanation:

Given

$Teachers = 6$

$Students = 15$

Selection

$Students = 4$

$Teachers = 5$

Required

Number of ways of selection

4 students can be selected from 15 students in:

$Students= ^{15}C_4$

Similarly.

5 teachers can be selected from 6 teachers in:

$Teachers= ^{6}C_5$

So, the required number of selection is:

$Selection = ^{15}C_4 * ^6C_5$

Apply combination formula:

$Selection = \frac{15!}{(15-4)!4!} * \frac{6!}{(6-5)!5!}$

$Selection = \frac{15!}{11!4!} * \frac{6!}{1!5!}$

$Selection = \frac{15*14*13*12*11!}{11!*4*3*2*1} * \frac{6*5!}{1*5!}$

$Selection = \frac{15*14*13*12}{4*3*2*1} * \frac{6}{1}$

$Selection = \frac{32760}{24} * 6$

$Selection = 1365 * 6$

$Selection = 8190$

8 0

2 years ago

Troy signed up for a new cell phone plan which charges him a fee of $40 per month, plus $0.05 for each text message ( t) that he

Daniel [21]

From what I can tell, the inequality is:

40 + .5t ≤ 70

Is that one of your options?

7 0

2 years ago

The number of hours required to do a job varies inversely as the number of people working. It takes 8 hours for 4 people to pain

dezoksy [38]

Answer: it will take 5 people 6.4 hours to do the work.

Step-by-step explanation:

The number of hours required to do a job varies inversely as the number of people working. Let h represent the number of hours required to do the job. Let p represent the number of people working. Therefore,

h is inversely proportional to p

Introducing a constant of variation, k, it means that

h = k/p

It takes 8 hours for 4 people to paint the inside of a house. Therefore

8 = k/4

k = 8×4 = 32

The formula becomes

h = 32/p

To determine how many hours it will take 5 people to do the work, we will substitute p = 5 into the formula. It becomes

h = 32/5 = 6.4 hours

7 0

2 years ago

Consider the given function and the given interval. f$x$ = 2 sin$x$ - sin$2 x$ text(, ) [0 text(, ) pi] (a) Find the avera

Finger [1]

a. The average value of $f$ on the given interval is

$\displaystyle f_{\rm ave}=\frac1{\pi-0}\int_0^\pi(2\sin x-\sin2x)\,\mathrm dx=\boxed{\frac4\pi}$

b. Solve for $c$ :

$\dfrac4\pi=2\sin c-\sin2c\implies\boxed{c\approx1.238\text{ or }c\approx2.808}$

4 0

2 years ago

3-(x-1)=-1-(5-x) pls help

Alika [10]

Answer:

$- 3(x - 1) = - 1(5 - x) \\ \\ 3 - x + 1 = - 5 + x \\ \\ - x - x = - 5 - 3 - 1 \\ \\ - 2x = - 5 - 3 - 1 \\ \\ - 2x = - 9 \\ \\ x = \frac{ - 9}{ - 2} \\ \\ x = 4.5$

3 0

2 years ago