Answer:
Step-by-step explanation:
If a given variable varies inversely with another variable, an increase in the value of the given variable would cause a corresponding decrease in the value of the other variable. Also, a decrease in the value of the given variable would cause a corresponding increase in the value of the other variable.
If y varies inversely with x, we would introduce a cost of variation, k so that the expression becomes
y = k/x
When y = 0.25, x = 8
Substituting into the expression above, it becomes
0.25 = k/8
k = 0.25 × 8
k = 2
The inverse variation function is
y = 2/x
Answer:
4√2 or 5.66 to the nearest hundredth.
Step-by-step explanation:
Applying the Pythagoras Theorem:_
c^2 = a^2 + b^2
c^2 = 4^2 + 4^2
c^2 = 32
c = √32
c = 4√2
Answer:
y=-29.98
Step-by-step explanation:
y=2/3(6)^2-5(6)
y=2/108-30
y=1/54-30
54y=1-1620
y=-1619/54
y=-29.98
Answer:
90 people
Step-by-step explanation:
Total: $775
DJ: $250
Cake: $75
Unknown party guests each getting $5
Let the unknown be x
We can form an equation; <em>DJ + Cake + x number of party guests = $775</em>
<em>250 + 75 + 5x = 775</em>
<em>325 + 5x = 775</em>
Subtract 325 from <u>both sides of the equals sign</u>.
<em>5x = 450</em>
Make <em>x</em> the subject and divide both sides by 5
<em>x = 90</em>
There were 90 party guests.
