Answer:
The carpenter will not be able to buy 12 '2 by 8 boards' and 14 '4 by 4 boards'.
Step-by-step explanation:
Given:
Amount a carpenter can spend at most = $250
The inequality to represent the amount he can spend on each type of board is given as:
where 
represents '2 by 8 boards' and 
represents '4 by 4 boards'.
To determine whether the carpenter can buy 12 '2 by 8 boards' and 14 '4 by 4 boards'.
Solution :
In order to check whether the carpenter can buy 12 '2 by 8 boards' and 14 '4 by 4 boards' , we need to plugin the 
and 
in the given inequality and see if it satisfies the condition or not or in other words (12,14) must be a solution for the inequality.
Plugging in and in the given inequality
The above statement can never be true and hence the carpenter will not be able to buy 12 '2 by 8 boards' and 14 '4 by 4 boards'.
Answer:
p = 3/4 or 0.75
Step-by-step explanation:
your equation: 60p = 45
divide both sides by 60: p = 45/60
simply the fraction by dividing the numerator and denominator by 15: p = 3/4
your answer: 3/4 or 0.75
Answer: 3
Step-by-step explanation:
To solve this problem you must apply the proccedure shown below:
1. Find the prime factorization of 27:
or 
2. The index of the radical is 3, therefore, you have rewrite it as following:
![\sqrt[3]{27}=\sqrt[3]{3^{3}}=3^{\frac{3}{3}}=3^{1}=3](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B27%7D%3D%5Csqrt%5B3%5D%7B3%5E%7B3%7D%7D%3D3%5E%7B%5Cfrac%7B3%7D%7B3%7D%7D%3D3%5E%7B1%7D%3D3)
3. Therefore, as you can see, the answer is 3.
Answer:
Option D:
Step-by-step explanation:
Differential equation:
For the population in function of the time, is:
The population P of rabbits on a small island grows at a rate that is jointly proportional to the size of the rabbit population and the difference between the rabbit population and the carrying capacity of the population
Carring capacity is 2400.
This means that the differential equation is kP(size of the population multiplied by the constant) multiplied by 2400 - P(difference between the population and the carrying capacity). So
So the answer is given by option D.
