Use the substitution method to solve the system of equations. Choose the correct ordered pair.
1 answer:
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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'.
<h2>Answer:</h2>
The value of t is:
t=48.8889
<h2>Step-by-step explanation:</h2>We are asked to solve the linear equation in terms of variable t.
The equation is given by:
Firstly we will solve the parentheses term in the left and right hand side of the equality as follows:
Now we combine the like terms on the left side of equality by:
Now we subtract both side of the equation by 5 to get:
Now on dividing both side of the equation by 0.90 we get:
Hence, the value of t is: 48.8889