Two decimals that can round are 1.46 and 1.45
Answer: Carlo is incorrect
Step-by-step explanation:
3000/(2+3) = 600 (each ratio)
2:3 = 2(600):3(600) = 1200:1800
1200/6 = 200 small boxes
1800/20 = 90 large boxes
290 boxes altogether (large and small)
(large boxes/boxes altogether)x100
(90/290)x100 = 31%
31%>30%
Therefore Carlo is incorrect
The most important thing here is converting the length into the same units. So:
3 feet 9 inches = 45 inches
now, we know that compound 'growth' can be worked out by multiplying the initial value by the decimal to the power of the years. So, relating to this question, the equation would be:
5 x α⁴ = 45
Now, we have to solve for α!
α⁴ = 45/5
α⁴ = 9
α = ⁴√9
α = 1.732050808
This is the increase every year written as a decimal so, if we want to work out the pure percentage, we have to subtract 1 and then multiply by 100:
1.732050808 - 1 = 0.732050808
0.732050808 x 100 = 73.20508076
Rounded to 2 decimal places the answer would be 73.21% !
Answer:
<em> </em>
<em></em>
<em></em>
Step-by-step explanation:
Given
Temperature = 98.6F
Range = 1.5F
Required
Write the absolute value inequality
Let the temperature be represented by x
We start by writing an expression for the difference between x and 98.6.
This can be written as x - 98.6
From the question, we understand that this difference is more than 1.5F
Representing this using absolute value inequality; we have
Solving further; this gives
or 
Make x the subject of formula in both cases
or 
or 
This can be rewritten as
or 
Combining these two inequalities;
Hence;
<em>The absolute inequality is </em><em></em>
<em>And the range of value is </em><em />
