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2 years ago

6

What is? 1 3/14 - ( -2 1/7) express your answer in the simplest form

1 answer:

Vesna [10]2 years ago

8 0

If you would like to calculate 1 3/14 - (-2 1/7) and express the answer in the simplest form, you can do this using the following steps:

1 3/14 - (-2 1/7) = 17/14 + 15/7 = 17/14 + 30/14 = 47/14 = 3 5/14

The result in the simplest form is 47/14.

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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

The distance traveled, in feet, of a ball dropped from a tall building is modeled by the equation d(t) = 16t2 where d equals the

nignag [31]

Assuming that by "16t2" you mean $16t^2$ :

First of all, let's compute the position at the two required times:

$d(2)=16\cdot 2^2 = 16*4 = 64$

$d(5)=16\cdot 5^2 = 16*25 = 400$

So, the ball traveled a total distance of $\Delta d = 400-64 = 336$ , during the time $\Delta t = 5-2 = 3$ .

The average rate of change is the ratio between these two:

$\frac{\Delta d}{\Delta t} = \frac{336}{3} = 112$

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lesantik [10]

Answer:

90 degree angled lines

Step-by-step explanation:

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3 years ago

22.5%in to a fraction

4vir4ik [10]

if it's a mix fraction, then you write 22 1/2. if improper fraction, then write 45/2

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3 years ago

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morpeh [17]

Answer:

0.1

Step-by-step explanation:

The <em>common ratio</em> of a sequence is the number you multiply one term to get the next one. Here, we multiply 0.1 by 0.1 to get 0.01, and 0.01 by 0.1 to get 0.001, so our common ratio is 0.1.

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3 years ago