Solve the linear equation x+3+x-8+x=55

Mathematics

1 answer:

babymother [125]3 years ago

4 0

Answer:

X= 20

Step-by-step explanation:

X+X+X+3-8 = 55 (Place Like terms together)

3x - 5 = 55 (Simplifying Like terms by adding and subtracting)

3x = 55+5 ( Move -5 towards Right hand side of equal as there is 55 which is like term of -5 and if we move any number or value from one side of equal towards other the sign of that value would change)

3x = 60

X= 60/3 ( Move 3 toward others side as there is like term of 3 which is 60 but as on Left hand side of equal sign 3 is multiplying with "X" so when we move any number or value toward other side the operation or sign of that value or number would be change, Multiply change into Divide and vice versa and Add change into subtraction and vice versa)

X= 20

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3 years ago

The salary of members of two governing bodies in 2008 was $

OLEGan [10]

<u>Complete Question</u>

The salary of members of two governing bodies in 2008 was $167.2 thousand, and has increased by approximately $2 thousand per year since then. Complete parts (a) and (b).

(a) Complete the following table to help find an expression that stands for the the salary (in thousands of dollars) of members of the two governing bodies t years since 2008.

Number of years and salaries of members of the two governing bodies

$\left|\begin{array}{c|c}-------&------\\$Years since 2008&$Salary (thousands of dollars)\\-------&------\\0&(2*--) + --\\1&(2*--) + --\\2&(2*--) + --\\3&(2*--) + --\\4&(2*--) + --\\t&(2*--) + --\end{array}\right| \\$

(b) Evaluate the expression that is found in part (a) for t = 5. What does the result means in this situation?

Answer:

(a) $S(t)=2t+167.2$

(b) S(5)=$177.2 thousand.

Step-by-step explanation:

(a)

The salary increases by $2 thousand per year since 2008. Therefore, the completed table is below:

$\left|\begin{array}{c|c}-------&------\\$Years since 2008&$Salary (thousands of dollars)\\-------&------\\0&(2\cdot 0) + 167.2\\1&(2\cdot 1) + 167.2\\2&(2\cdot 2) + 167.2\\3&(2\cdot 3) + 167.2\\4&(2\cdot 4) + 167.2\\t&(2\cdot t) + 167.2\end{array}\right| \\$