Answer:
Multiplying or dividing both sides by a negative number changes the direction of an inequality. So we cannot multiply or divide both sides by a variable unless we know that the variable is either always positive or always negative. This is not a concern when solving equalities.
When applying a decreasing function to both sides of an inequality, the direction of the inequality changes.
Swapping both sides of an inequality also changes the direction of an inequality. Again we don't have to worry about this with equalities.
Step-by-step explanation:
janine is running 10 kilometer per 60 minutes
means janine runs 1 km in
=60/10
=6
since,Janine runs 1 km per 6 minutes
how much time does janine takes to run 15 km
=15 ×6
=90
Therefore Janine takes 90 minutes to run 15 km ie1 hour 30 minutes
Answer:
Clearly they are not equivalent because division will get you a smaller number ( except when decimals are in used or special cases ) as an answer and division times the number that will oppositely get you a bigger number ( again, except the decimal or special cases )
Answer:
47 pounds
Step-by-step explanation:
Given
Direct Variation:
Weight on Mars = 60 when Weight on Earth = 180
Required
Determine the Weight on Mars, if weight on earth is 141
Let M represents Mars and E represents Earth.'
Since, it is a direct variation;
Convert to an equation
Where k is the variation constant.
Substitute 60 for M and 180 for E
Solve for k
To solve for M when E = 141, we have:
set up a proportion comparing miles per hour to miles per hour. Then cross multiply and solve for the missing term.
845/13 = 455/x
845x = 13(455)
x = 13(455)/845
x = 7
Answer: 7 hours