When given a value of the variable, we replace each instance of the variable in the problem with that number. In this case, the expression becomes:

After this, we merely need to simplify the answer.


Simplifying 12/2 gives us the answer 6.
Answer:
Question 9: Variables: (smallest) s, q, r (largest)
Question 10: 5 whole numbers (7, 8, 9, 10, and 11)
Step-by-step explanation:
For question nine, there are two given statements... s=q-2 and q<r. Say we plug in 10000 (a really big #) in for q, then we would get s=9998 and r>10000. This way, we can see that s would be the smallest, then q, and r is the largest. <em>(q<r can be written as r>q)</em>
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For question 10, it states
. This can be split into
and
. When x is 12 in the first equation then
and when x is 6 in the second equation
(0.5 is also
). Therefore, x must be a whole number less than 12 and greater than 6, and it cannot be either 12 or 6. Whole numbers between 6 and 12 are 7, 8, 9, 10, and 11 or 5 whole numbers.
9514 1404 393
Answer:
m = 2k/v
Step-by-step explanation:
Identify the coefficient of m (v/2) and multiply by its inverse (2/v).
(2/v)k = (2/v)m(v/2) . . . . multiply both sides of the equation by 2/v
2k/v = m . . . simplify
m = 2k/v
I think it would be b) because you're given a slope of 0, so that leaves you with

, resulting into this

You'd be just left with a continuous horizontal line going through the y-axis of 3 since you're passing the point (2,3), where 3 represents the y-value when your slope is at 0.
The perpendicular line will have an equation of y=3/4x-3/4
To find this, we first have to solve our equation for slope intercept form.
8x + 6y = -5 ----> subtract 8x
6y = -8x + -5 ----> divide by 6
y = -4/3x - 5/6.
So we know the slope of this equation to be -4/3. Since perpendicular lines have opposite and reciprocal slopes, we know we can simply flip the fraction and make it a negative to get the new slope of 3/4. Since B is the only option with that slope, we know it to be the correct answer.