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Licemer1 [7]
3 years ago
6

the number of right handed students in a mathematics class is nine times the number of left hand students. the total number of s

tudents in the class is 30. how many right handed students are in the class? how many left handed students are in the class?​
Mathematics
1 answer:
rewona [7]3 years ago
7 0

Answer:

3 left handed and 27 right handed.

Step-by-step explanation:

9+1=10

30/10=3

3*9=27

30-27=3

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The answer to the problem
andreev551 [17]

Answer:100

Step-by-step explanation:

52+28=80

180-80=100


8 0
3 years ago
Use appropriate algebra and theorem 7. 2. 1 to find the given inverse laplace transform. (write your answer as a function of t.
ollegr [7]

The given function s/(s^2 +3s -4) is proved with the help of inverse Laplace theorem.

According to the statement

we have to find the inverse of the Laplace theorem with the help pf the given theorem in the statement.

So, For this purpose, we know that the

Laplace transformation is a transformation of a function f(x) into the function g(t) that is useful especially in reducing the solution of an ordinary linear differential equation with constant coefficients to the solution of a polynomial equation.

Now, We assume you want to find the inverse transform of s/(s^2 +3s -4).

This can be written in partial fraction form as

\frac{(4/5)}{(s+4)} + \frac{(1/5)}{(s-1)}

which can be found in a table of transforms to be the transform of

\frac{4}{5} e^{-4t} + \frac{1}{5} e^t

There are a number of ways to determine the partial fractions. They all start with factoring the denominator.

s^2 +3x -4 = (s+4)(s-1)

After that, you can postulate the final form and determine the values of the coefficients that make it so.

For example:

\frac{A}{(s+4)}  + \frac{B}{s-1}  = (A+B)s + \frac{(4B-A)}{(s^2 +3x -4)}

This gives rise to two equations:

(A+B) = 1

(4B-A) = 0.

So, The given function s/(s^2 +3s -4) is proved with the help of inverse Laplace theorem.

Disclaimer: This question was incomplete. Please find the full content below.

Question:

Use appropriate algebra and theorem 7.2.1 to find the given inverse laplace transform. (write your answer as a function of t.) ℒ−1 s s2 + 3s − 4.

Learn more about Laplace here

brainly.com/question/11630973

#SPJ4

3 0
2 years ago
The population, p, of a town after t years is represented using the equation p=10000(1.04)^-t Which of the following is an equiv
Lisa [10]

Answer:

p=10000(26/25)t

Step-by-step explanation:

Considering that the population, p, of a town after t years is represented using the equation p=10000(1.04)^-t

The equation is equivalent to p=10000(26/25)t, because;

26/25 = 1.04

Hence; p=10000(26/25)t =p=10000(1.04)^t

3 0
3 years ago
Read 2 more answers
you have an initial amount of 55$ in a savings account and you deposit an equal amount into your account each week. After 6 week
sveticcg [70]
55+added=133
added=amount addeed per week times 6=6x

55+6x=133
minus 55 both sides
6x=78
divide both sides by 6
x=13

add 13 per week

y=13x+55
3 0
3 years ago
Solve for |2x + 4|-1=7
Rudik [331]

Answer:

x = - 6 or x = 2

Step-by-step explanation:

The absolute value function always returns a positive value. However, the expression inside can be positive or negative.

Given

| 2x + 4 | - 1 = 7 ( add 1 to both sides )

| 2x + 4 | = 8, thus

2x + 4 = 8 ( subtract 4 from both sides )

2x = 4 ( divide both sides by 2 )

x = 2

OR

-(2x + 4) = 8

- 2x - 4 = 8 ( add 4 to both sides )

- 2x = 12 ( divide both sides by - 2 )

x = - 6

As a check

Substitute these values into the left side of the equation and if equal to the right side then they are the solutions.

x = 2 → | 4 + 4 | - 1 = | 8 | - 1 = 8 - 1 = 7 ← True

x = - 6 → | - 12 + 4 | - 1 = | - 8 | - 1 = 8 - 1 = 7 ← True

Hence the solutions are x = - 6 or x = 2

6 0
3 years ago
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