MATHEMATICS HIGH SCHOOL

Charlie solved an equation, as shown below:Step 1: 5x = 30
Step 2: x = 30 – 5
Step 3: x = 25

Part A: Is Charlie's solution correct or incorrect? If the solution is incorrect, explain why it is incorrect and show the correct steps to solve the equation. (6 points)

Part B: How many solutions will this equation have? (4 points)

Answers

Answer 1
Answer:

Part A:  Charlie's answer is incorrect. Part B: There is only 1 solution for this equation.

What is a linear equation?

A linear equation is an equation that has the variable of the highest power of 1.

The standard form of a linear equation is of the form Ax + B = 0.

Charlie solved an equation;

Step 1: 5x = 30

Step 2: x = 30 – 5

Step 3: x = 25

Part A:  Charlie's answer is incorrect.

In step 2 of Charlie's answer he subtracted 5 from each side. Since 5x is multiplication so, he must divide each side by 5 to get x by itself.

Step 1:  5x = 30

Step 2:  x = 30/5

Step 3:  x = 6

Part B: There is only 1 solution for this equation.

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Answer 2
Answer: Part A:  Charlie's answer is incorrect
In step 2 of Charlie's answer he subtracted 5 from each side.  Since 5x is multiplication, he must DIVIDE each side by 5 to get x by itself.  The problem should have worked out like this...

Step 1:  5x = 30
Step 2:  x = 30/5
Step 3:  x = 6

Part B:  There is only 1 solution for this problem.

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Convert the following decimal to a common fraction. Reduce to lowest terms 0.2 = 2/1 0/2 1/2 1/5

Answers

0.2 = (2)/(10) = (1)/(5)
So, (1)/(5)

For place values that occur to the left of the decimal point, each place value is ten times ______ than the place value to its right.a. exponential
b. fractional
c. smaller
d. larger

Answers

d. think about it this way. the closer it is to decimal, the closer it is to a whole number which is the "biggest"

Final answer:

Each place value to the left of the decimal point in a number is ten times larger than the place value to its right.

Explanation:

In mathematics, specifically in the idea of place value, each position to the left of the decimal point is ten times larger than the place value to its right. For example, in the number 1234.0, the '1' is in the thousands place, which is ten times larger than the hundreds place where '2' is located. Likewise, the '2' in the hundreds place represents a value that is ten times larger than the tens place where '3' resides, and so on.

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Select the proper placement for parentheses to speed up the addition for the expression 4 + 6 + 5 A. (5 + 6) + 4   B. (4 + 6) + 5   C. 4 + (6 + 5)   D. (5 + 4) + 6

Answers

im guessing that by making 10 it will speed up the addition process so it should be 
B since (6+4) = 10 then +5 =15
the answer is B becuase 6+4=10 10+5=15

Compare and contrast the absolute value of a real number to that of a complex number.

Answers

The absolute value of a real number is a positive value of the number. Which means that the absolute value is the distance from zero of the number line. However, that of the complex numbers is the distance from the origin to the point in a complex plane. 

The definition of complex, real and pure imaginary number is as follows:

A \ \mathbf{complex \ number} \ is \ written \ in \ \mathbf{standard \ form} \ as:\n \n \ (a+bi) \n \n where \ a \ and \ b \ are \ real \ numbers. \ If \ b=0, \ the \ number \ a+bi=a \n is \ a \ \mathbf{real \ number}. \ If \ b\neq 0, \ the \ number \ (a+bi) \ is \ called \ an \n \mathbf{imaginary \ number}. \ A \ number \ of \ the \ form \ bi, \ where \ b\neq 0, \n is \ called \ a \ \mathbf{pure \ imaginary \ number}

The absolute value of this number is given by:

|a+bi|=\sqrt{a^(2)+b^(2)}

So, the absolute value of a complex number represents the distance between the origin and the point in the complex plane. On the other hand, the absolute value of a real number means only how far a number is from zero without considering any direction.

Why are sports teams considering switching to a variable-pricing strategy for tickets?

Answers

Sports teams are switching to a variable-pricing strategy for tickets so that they can get higher profit on games with record attendance numbers. They feel the need to do so because the marginal cost, such as construction payment player's salaries, did not equal to the marginal revenue. 

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Answers

14  69/100 would be the way to express 14.69 as a mixed number
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