Solve for x:
x + (x + 2) + (x + 4) = 27
3x + 6 = 27
3x = 27 - 6
3x = 21
3x / 3 = 21 / 3
x = 7
The integers:
x + (x + 2) + (x + 4) = 27
7 + (7 + 2) + (7 + 4) = 27
7 + 9 + 11 = 27
27 = 27
The integers are 7, 9 , 11
Answer:
3/4 cups of flour are needed.
Step-by-step explanation:
(3 2/3)/1=(2 3/4)/x
(11/3)/1=(11/4)/x cross multiply.
11x/3=11/4 cross multiply.
4*11x=3*11
44x=33
x=33/44
x=3/4
Answer:
a.
Step-by-step explanation:
The given equation is;
To solve by the x-intercept method we need to graph the corresponding function using a graphing calculator or software.
The corresponding function is
The solution to is where the graph touches the x-axis.
We can see from the graph that; the x-intercepts are;
(-1,0),(3,0) and (6,0).
Therefore the real solutions are:
Answer:
Cody made a mistake when calculating the slope of the line and this affected every other steps after than.
She divided -3 by 6 instead of -3 by 1/6
Step-by-step explanation:
Given
<em>See attached for steps</em>
Required
Explain Cody's error
<em>Cody made a mistake when calculating the slope of the line and this affected every other steps after than.</em>
See Proof
Slope (m) is calculated as thus:
This is in contrast to , calculated by Cody
Solving further to determine the equation.
Where
Collect Like Terms
Step-by-step explanation:
To solve a system of equations, we can add the two equations and solve for one of the remaining variables -- let's try to eliminate the variable when we add the two equations together.
Right now, there's a term in the first equation, and a term in the second equation, so if we add those together, we'll be able to eliminate the variable altogether and solve for .
However, when we also have a term in the first equation and term in the second equation, so adding these together will also eliminate the term, leaving a on the left-hand side of the equation.
If we add the two numbers on the right side of the equation, we get , which does not equal , meaning there are no solutions to this system of equations.