5 1/4 - 1 1/3 =
21/4 - 4/3 =
63/12 - 16/12 =
47/12 =
3 11/12 <==
Answer:
The rope is 24 yards.
Step-by-step explanation:
1 yard = 3 feet
therefore
72 ft / 3 = 24
8.71 xx10^(12)
The exponent is a positive number. This means the decimal point moves to the right by the number of the exponent.
There are two digits to the right of the decimal point, so to move the decimal 12 places, you would need to add 10 zeros.
8.71 x 10^12 becomes 8,710,000,000,000.
The two lines in this system of equations are parallel
Step-by-step explanation:
Let us revise the relation between 2 lines
- If the system of linear equations has one solution, then the two line are intersected
- If the system of linear equations has no solution, then the two line are parallel
- If the system of linear equations has many solutions, then the two line are coincide (over each other)
∵ The system of equation is
3x - 6y = -12 ⇒ (1)
x - 2y = 10 ⇒ (2)
To solve the system using the substitution method, find x in terms of y in equation (2)
∵ x - 2y = 10
- Add 2y to both sides
∴ x = 2y + 10 ⇒ (3)
Substitute x in equation (1) by equation (3)
∵ 3(2y + 10) - 6y = -12
- Simplify the left hand side
∴ 6y + 30 - 6y = -12
- Add like terms in the left hand side
∴ 30 = -12
∴ The left hand side ≠ the right hand side
∴ There is no solution for the system of equations
∴ The system of equations represents two parallel lines
The two lines in this system of equations are parallel
Learn more:
You can learn more about the equations of parallel lines in brainly.com/question/8628615
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