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:
The meal was $16.00.
Step-by-step explanation:
since the equation for finding the tip is: decimal of percent times total bill, what you want to do is isolate the bill. you do this by dividing both sides by percent and your equation is total cost = tip/percent
let's say our total equation is x.
x=3.20/0.2
x=16
Now check your work.
Answer:
p = -2
Step-by-step explanation:
5p - 10 = + 4(1 + 3p)
first get rid of the bracquetes:
5p - 10 = + 4*1 + 4*3p
5p - 10 = + 4 + 12p
subtract left and right of = sign by 5p
5p -5p - 10 = + 4 + 12p -5p
0 - 10 = + 4 + (12p -5p)
subtract left and right of = sign by 4
-10 -4 = 4 -4 + ( 7p )
re arrange
7p + 0 = -14
divide left and right of = sign by 7
7/7 p = -14/7
p = -2
Answer:
axc is 90 degrees. hope that helps