Answer:
Yes, half of 150 would be 75
Step-by-step explanation:
Half of 100 is 50, or 50% of 100 is 50, and half of 150 is 75, which could have been found by dividing 150 by 2.
So only 1/10 of 4000 markers arrived.
So 1/10, or 0.1 of 4000, can be found by multiplying 1/10 by 4000.
1/10 * 4000 = 400
So she received 400 markers.
You would do credit because debit is not the one
X=112
Y=90
Explanation: Y is 90 because you can see that it is a right angle! To find X you can find the 3rd angle that is in the triangle with Y in it (which is 68) and then because X is supplementary to that angle we just found you can do 180-68 which is 112!
Answer:

Step-by-step explanation:
So we need to find an equation of a line that crosses the point (6,-4) and is perpendicular to y = -2x -3.
First, let's find the slope of the line we want to write. The line we want is perpendicular to y = -2x -3. Recall that if two lines are perpendicular to each other, their slopes are negative reciprocals of each other. What this means is that:

Plug -2 for one of the slopes.

Divide by -2 to find the slope of our line.

Thus, our line needs to have a slope of 1/2.
Now, let's use the point-slope form. The point-slope form is given by:

Plug in 1/2 for the slope m and let's let our point (6,-4) be x₁ and y₁. Thus:

Simplify and distribute:

Subtract 4 from both sides:

The above is the equation that passes the point (6,-4) and is perpendicular to y = -2x -3.