Answer:
See below.
Step-by-step explanation:
Addition: closed
Example: -5 + 10 = 5, and -5, 10, and 5 are all integers
Subtraction: closed
Example: 10 - 8 = 2, and 10, 8, and 2 are all integers
Multiplication: closed
Example: -4 * 7 = -28, and -4, -7 and -28 are all integers
Division: not closed
Example: 5/2 = 2.5, and 2.5 is not an integer, although 2 and 5 are integers
The set of integers is closed under addition, subtraction, and multiplication because any addition, subtraction, or multiplication of integers always results in an integer.
The set of integers is not closed under division because a division of integers does not always result in an integer.
2t = 40 - 2w
t = 40/2 (-2/2)w
t = 20 - w -- rearrange
t = -w + 20
t + w = 15
t = -w + 15
same slope, different y intercepts.....parallel lines, no solutions
Answer:
48 minutes.
Step-by-step explanation:
Number of dishes rinsed by Juan in <em>1</em><em> </em><em>m</em><em>i</em><em>n</em><em>u</em><em>t</em><em>e</em><em> </em>
= 480/80
= 6
Number of dishes rinsed by Kevin in <em>1</em><em> </em><em>m</em><em>i</em><em>n</em><em>u</em><em>t</em><em>e</em>
= 480/120
= 4
Number of dishes rinsed by Juan and Kevin in <em>1</em><em> </em><em>m</em><em>i</em><em>n</em><em>u</em><em>t</em><em>e</em>
= 6 + 4
= 10
Hence, time taken by Juan and Kevin to rinse the dishes
= 480/10
= <u>4</u><u>8</u><u> </u><u>m</u><u>i</u><u>n</u><u>u</u><u>t</u><u>e</u><u>s</u>.
Hence It will take <u>4</u><u>8</u><u> </u><u>m</u><u>i</u><u>n</u><u>u</u><u>t</u><u>e</u><u>s</u> for them to rinse the dishes.
Answer:
F=24
Step-by-step explanation:
Multiply all terms by the same value to eliminate fraction denominators
4 x f/4 = 4 x 6
So f=24
Answer:
y=5x+6
Step-by-step explanation:
