Answer:
x = 
Step-by-step explanation:
Given
3(x - 6) = 6 + 7, that is
3(x - 6) = 13 ← distribute parenthesis on the left side by 3
3x - 18 = 13 ( add 18 to both sides )
3x = 31 ( divide both sides by 3 )
x = 
Answer:
5 years.
Step-by-step explanation:
Every year the population increases by a factor 103.5% or 1.035.
The equation relating population and time in years is:
P = 6000(1.035)^t (This is an example of exponential growth)
So we have:
7100 = 6000(1.035)^t
(1.035)^t = 7100/6000
(1.035)^t = 1.1833
t ln 1.035 = ln 1.1833
t = ln 1.1833/ln 1.035
= 4.89.
Answer:
Three times
Step-by-step explanation:
Given
Figures: Rectangular Prism and Rectangular Pyramid
Let the dimension of the prism be:



Amount of sand used is the volume (V1) and it is calculated using;


Since the pyramid has the same base area and height as the prism, the its dimension would be:



Amount of sand used is the volume (V2) and it is calculated using;

So, we have:


Substitute lwh for V1 in the second equation

Multiply both sides by 3


Reorder


<em>Hence, the amount of sand used in building the prism is three times the amount of sand used in building the pyramid</em>
1 2/12 is the answer because you multiply the fraction by the other detonator
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