Answer:
y = 36
Step-by-step explanation:
Given y varies directly as z and inversely as x then the equation relating them is
y = 
← k is the constant of variation
To find k use the condition y = - 18, z = 3 when x = 6 , then
- 18 = 
( multiply both sides by 6 )
- 108 = 3k ( divide both sides by 3 )
- 36 = k
y = 
← equation of variation
When x = 5 and z = - 5, then
y = 
= 
= 36
Answer:
Alicia needs 32ft² of carpet to cover the space
Answer:
2. Dependent events
Step-by-step explanation:
The number of different codes does this lock provides is 360.
Given that,
- There is the combination lock having push buttons from A to F (6 buttons)
- Out of this, four should be in any order.
- Also, the push button should not be used more than once.
Based on the above information, here we use permutation which is as follows:
= 360
Therefore we can conclude that the number of different codes does this lock provides is 360.
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