Answer:
The answer is:
30 minutes.
Step-by-step explanation:
We are given the following information:
at 160 m/min, tool life = 5 min.
at 120 m/min, tool life = 17 min.
This means that as the speed reduced from 160 m/min to 120 m/min, the tool life increased from 5 min. to 17 min, hence the difference between the changes are:
speed = 160 - 120 = 40 m/min
tool life = 17 - 5 = 12 min.
Therefore, it can be concluded that a change of speed of 40 m/min, increases the tool life by 12 min.
40 m/min = 12 min
∴ 1 m/min = 12/40 min.
∴ 100 m/min = 12/40 × 100 = 0.3 × 100 =30 min.
Answer:
x=−18
Step-by-step explanation:
Let's solve your equation step-by-step.
x
3
+4=−2
Step 1: Simplify both sides of the equation.
1
3
x+4=−2
Step 2: Subtract 4 from both sides.
1
3
x+4−4=−2−4
1
3
x=−6
Step 3: Multiply both sides by 3.
3*(
1
3
x)=(3)*(−6)
x=−18
Answer:
The percentage increase in bird population in the second years is 4% .
Step-by-step explanation:
Given as :
During two years, the population of birds of an island became 7 times more than before.
The the percentage increase in first year = = 
=40%
Let The percentage increase in second year = 
= r%
So, According to question
The initial population of bird = x
The increase population of bird =7 times before = 7 x
Now,
The increase population of bird = initial population of bird × (1+ 
) × (1+ 
)
Or, 7 x = x × (1+ 
) × (1+ 
)
Or, 
= 1.4 × (1+ )
Or, 7 = 1.4 × (1+ )
Or, 
= (1+ )
Or, 5 = (1+ )
Or, (1+ ) = 5
Or, = 5 - 1
Or, = 4
∴ r = 4 × 100
I.e r = 400
so, The percentage increase = r% = 4
Hence The percentage increase in bird population in the second years is 4% . Answer
Answer:
37< 10x-7
Step-by-step explanation:
The constant of proportionality is 5. For every time the total area "A" is multiplied by one the length is multiplied by 5.
