1) Solve equation
3r+5
_____ + 2 = 2r to find the value of r?
2
A. 2 1/7
B. 3 2/3
C. 15
D. 10
2) which is these is a rational number.
A. Sq root of 14
B. -sq root of 9
C. -sq root of 34
D. Sq root of 72
1) r=9. typo?
2) (B)
1) 3r + 5
_____. + 2 = 12-2r
2
Find value of r
1) To solve the equation (3r + 5)/2 + 2 = 2r, we need to isolate the variable r.
Step 1: Distribute the 2 to the terms within the parentheses:
(3r + 5)/2 + 2 = 2r
(3r + 5)/2 + 2 * 2/1 = 2r * 2/1
(3r + 5)/2 + 4/1 = 4r
Step 2: Multiply each term by the least common denominator (2) to get rid of the denominators:
2 * (3r + 5)/2 + 2 * (4/1) = 2 * (4r)
3r + 5 + 8 = 8r
Step 3: Combine like terms:
3r + 13 = 8r
Step 4: Move all terms involving r to one side of the equation:
3r - 8r = -13
-5r = -13
Step 5: Divide both sides of the equation by -5 to solve for r:
r = -13/-5
r = 13/5
The value of r is 13/5, which is a mixed number. To convert to a single fraction, divide the numerator (13) by the denominator (5):
r = 2 3/5
Therefore, the answer is option A - 2 1/7.
2) A rational number is any number that can be expressed as a ratio of two integers (where the denominator is not zero).
A. The square root of 14 is an irrational number, as it cannot be expressed as a ratio of two integers.
B. The negative square root of 9 is a rational number since it can be expressed as -3/1.
C. The negative square root of 34 is an irrational number, as it cannot be expressed as a ratio of two integers.
D. The square root of 72 is a rational number since it can be expressed as 6/1.
Therefore, the answer is option D - square root of 72.