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:
360.124 in expanded and exponential form :
300+60+1/10+2/100+4/1000
Consider the given equations:
The first equation is as:

So, 
= 
Multiplying the given fractions, we get as
= 
Now, consider the second equation as:

Multiplying by '3' to both the sides of the equation, we get


So, the number which best completes both the equations is
.
Answer:
D. p = 6.25h
Step-by-step explanation:
6.25 (2) = p 12.50
6.25 (4) = p 25.00
6.25 (6) = p 37.50
6.25 (8) = p 50.00