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sasho [114]
1 year ago
9

Given: a=b+2c, b=3c. What is the average of numbers a, b and c?

Mathematics
1 answer:
Westkost [7]1 year ago
5 0

Answer:

3c

Step-by-step explanation:

average =  \frac{a + b + c}{3}

Substitute a= b +2c:

\frac{a + b + c}{3}  =  \frac{b + 2c + b + c}{3}  \\  \frac{a + b + c}{3}  =  \frac{2b + 3c}{3}

Substitute b= 3c:

\frac{a + b + c}{3}   = \frac{2(3c) + 3c}{3}  \\  \frac{a + b + c}{3}  =  \frac{6c + 3c}{3}  \\  \frac{a + b + c}{3}  =  \frac{9c}{3}  \\  \frac{a + b + c}{ 3}  = 3c

Thus, the average of the 3 numbers is 3c.

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A new car is purchased for 16500 dollars. The value of the car depreciates at 5.75% per year. What will the value of the car be,
Gnom [1K]
A=16500(1-0.0575)^5
A=16,500×(1−0.0575)^(5)
A=12,271.30
7 0
1 year ago
Suppose you want to count the number of​ four-letter passwords that can be formed using the letters in the word NUMBER. The four
WITCHER [35]

Answer:

D.The password must not follow order matter

Step-by-step explanation:

We are given that suppose you want to count the number of four letters password that can be formed using the letters in the word NUMBER.

We are given that all letters in the password must be all different .There is no nothing saying about order so we can make combination without order .

We have to find the number of 4- letter password that can be formed using letters in the word NUMBER.

By using Permutation formula we find the number of 4- letters password that can be formed by using the letters N,M,B,U,E,R.

Permutation formula : The number of arrangements when taken r objects at a time out of n objects

=\frac{n!}{(n-r)!}

Total letters in word NUMBER=N,U,M,B,E,R=6

n=6,r=4

Therefore, the number of arrangements  can be made from 6 letters when 4 letters taken at a time =\frac{6!}{(6-4)!}

The number of selection can be made from 6 letters when 4 letters taken at a time =\frac{6!}{(6-4)!}

The number of selection can be made from 6 letters when 4 letters taken at a time =\frac{6\times5\times 4\times3 \times 2!}{ 2!}

n!=n(n-1)(n-2)(n-3)...........3\cdot.2\cdot.1

The number of selection can be made from 6 letters when 4 letters taken at a time =360

Option D is correct.

Answer : D.The password must not follow order matter

6 0
2 years ago
Dana surveyed students in her class. She found that 8 earned an A, 6 earned a B, 4 earned a
zmey [24]

Answer:

0.4

Step-by-step explanation:

Given:

Dana found that 8 students earned an A, 6 students earned a B, 4 students earned a  C, and 2 students earned a D on the last science test.

To find:

the experimental probability that the student would have earned an A in  the test

Solution:

Probability refers to the chances of occurrence of some event.

Number of students who earned an A in the test = 8

Total number of students = 8 + 6 + 4 + 2 = 20

The experimental probability that the student would have earned an A in  the test = Number of students who earned an A in the test / Total number of students = \frac{8}{20}=\frac{2}{5}=0.4

8 0
2 years ago
we learned today that division expresions that have the same quotient and remainders are not necessarlliy equal to each other.Ex
IgorLugansk [536]
Remainders are not always needed when you are just rounding. Not everything in math has to be perfect.
6 0
2 years ago
What is the solution set of (x - 2)(x - 3) = 2? {1, 4} {2, 3} {4, 5}
inna [77]
<span>(x - 2)(x - 3) = 2

x^2 - 2x - 3x + 6 - 2 = 0
x^2 - 5x + 4 = 0
(x -4)(x - 1) = 0
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x - 1 = 0; x =1

{1,4}

answer
</span><span>{1, 4}</span>
5 0
2 years ago
Read 2 more answers
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