Hi! Your answer is q = -9
Please see an explanation for a better and clear understanding to your problem.
Any questions about my answer and explanation can be asked through comments! :)
Step-by-step explanation:
Since we want to solve for q-term. That means we are going to isolate q-term.

We can add 4 and 9 together.

Because we want to know the value of q. That means we have to isolate q-term by subtracting both sides by 13.

We are reaching to the final step where we divide the whole equation by 3.

Finally, the solution for this equation is q = -9. But what if you are not certain or sure about the answer? Let's check it out!
To check the answer, simply substitute q = -9 in the equation.

Notice that the equation is true for q = -9. Hence, we can conclude that the solution for this equation is q = -9.
Hope this helps!
Answer:

Step-by-step explanation:
To find the
we must use the cosine theorem.
The cosine theorem says that:

In this case:



So




Answer:
Solving the given linear system, we get x = 1 and y = -3.
The solution set is: (1,-3)
Step-by-step explanation:
We need to solve the linear system of equations.

We can write second equation y=x-4 as: 
Let:

Now, Adding equation 1 and 2

So, we get x = 1
Now, put value of x in second equation to find value of y:

So, we get y = -3
Solving the given linear system, we get x = 1 and y = -3.
The solution set is: (1,-3)
Answer:
1. Less Than
2. Greater Than
Step-by-step explanation:
You know that 1/2 is equal to 4.5/9
So, 2/9 would be less than 1/2.
You know that 1/2 is equal to 5/10
So, 9/10 is greater than 1/2.
Compare each fraction by setting each fraction to the same denominator.
Answer:
x = 2y
x - 8 = y + 6
replace x by 2y in the second equation
2y - 8 = y + 6
y - 8 = 6
y = 14
x = 2*14 = 28
Kendra had $28 and Kareem had $14.