If I understand this problem correctly the answer would be 29 more people can board the plane! Hope this helps! Comment if you have questions!!!
17 is the constant term because it does not have any variables.
Let's first establish what we already know for this problem.
x = total number of hotdogs sold
y = total profit from total sales of hotdogs
Let's also establish the other equations which we will require in order to solve this problem.
Equation No. 1 -
Profit for 40 hotdogs = $90 profit
Equation No. 2 -
Profit for 80 hotdogs = $210 profit
STEP-BY-STEP SOLUTION
From this, we can use the formula y = mx + b & substitute the values for x & y from one of the two previous equations into the formula in order to obtain the values of m & b for the final equation. Here is an example of the working out as displayed below:
Firstly, using the first or second equation, we make either m or b the subject. Here I have used the first equation and made m the subject:
Equation No. 1 -
y = mx + b
90 = m ( 40 ) + b
40m = 90 - b
m = ( 90 - b ) / 40
Now, make b the subject in the second equation as displayed below:
Equation No. 2 -
y = mx + b
210 = m ( 80 ) + b
210 = 80m + b
b = 210 - 80m
Then, substitute m from the first equation into the second equation.
Equation No. 2 -
b = 210 - 80m
b = 210 - 80 [ ( 90 - b ) / 40 ]
b = 210 - [ 80 ( 90 - b ) / 40 ]
b = 210 - 2 ( 90 - b )
b = 210 - 180 - 2b
b - 2b = 30
- b = 30
b = - 30
Now, substitute b from the second equation into the first equation.
Equation No. 1 -
m = ( 90 - b ) / 40
m = ( 90 - ( - 30 ) / 40
m = ( 90 + 30 ) / 40
m = 120 / 40
m = 3
Through this, we have established that:
m = 3
b = - 30
Therefore, the final equation to model the final profit, y, based on the number of hotdogs sold, x, is as follows:
y = mx + b
y = ( 3 )x + ( - 30 )
ANSWER:
y = 3x - 30
<h2>
Answer:</h2>
The conditional statement is:
- If two lines are parallel then they lie in the same plane.
<h2>
Step-by-step explanation:</h2>
We know that a conditional statement is the statement which is written in the form of:
If p then q i.e. p → q
where p is the hypothesis of the statement.
and q is the conclusion of the statement which is based on the hypothesis.
Here we are given a statement as:
Two parallel lines lie in the same plane.
i.e. the hypothesis of the conditional statement is:
Two lines are parallel.
and conclusion is: They will lie in the same plane
( Because if two lines lie in the same plane then we can't conclude that they will be parallel )
Answer:
6 = 413 is a not true statement
Step-by-step explanation:
I've attached my work below
Hope it helps, Let me know if you have any questions/concerns !
Have a nice rest of your day :)