Answers and Step-by-step explanation:
12: The 5s are worth a lot more than the 2s. The 5s are worth fifty thousand and five thousand whereas the 2s are only worth two hundred and twenty.
13: She needs 4 forks (2000 - 1996 = 4)
She needs 255 knives (2000 - 1745 = 255)
She has 226 extra spoons ( 2116 - 2000 = 116)
Answer:
a. Parallel
b. Not parallel
Step-by-step explanation:
Systems which have no solutions are parallel lines. These lines do not intersect and therefore have no solution. Remember, parallel lines have the same slope. Compare the slope in each equation when in y=mx+b format to see if they are parallel.
a. y= 2x + 3 y-2x=-3 becomes y = 2x - 3
m = 2 m= 2
The slopes are the same so these are parallel lines.
b. 3x + y = 2 becomes y= -3x + 2 y = 1/3 x + 1/2
m = -3 m= 1/3
The slopes are different so this is not parallel.
Since -3 and 1/3 are the negative reciprocals of each other. These lines are actually perpendicular.
Answer:
L = 2r + 3
Step-by-step explanation:
Given parameters:
Area of rectangle = 14r + 21
Width of the rectangle = 7ft
Unknown:
Length of the rectangle = ?
Solution:
If the length of the rectangle is designated as L;
Area of a rectangle = Length x width
Now insert the parameters:
14r + 21 = L x 7
L =
L = 2r + 3