Answer:
Coordinates of point P is
.
Step-by-step explanation:
Given that mid point of line segment
is at <em>M(-9, 8.5).</em>
Q is at <em>(-4, 14)</em>.
Let coordinate of P be
.
Using the ratio, we can say the following:
<em>The coordinates of mid point</em>
of a line with endpoints
and
is given as:


Using the formula for above given dimensions:


So, the <em>coordinates of point P are</em>
.
Answer:
28 short-sleeved shirts were sold and 23 long-sleeved shirts were sold.
Step-by-step explanation:
We can solve this question by a system of equations.
I am going to say that:
x is the number of short-sleeved shirts sold.
y is the number of long-sleeved shirts sold.
A department store sold 51 shirts one day.
This means that 
All short-sleeved shirts cost $14.00 each and all long-sleeved shirts cost $23.00 each. Total receipts for the day were $921.00.
This means that

How many of each kind of shirt were sold?
We have to solve the system of equations.


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28 short-sleeved shirts were sold and 23 long-sleeved shirts were sold.
Answer:
20÷[18-{20-3(4)}]
120÷[18-[20-12]]
120÷[18-8]]
120÷10
12
Step-by-step explanation:
Answer:
y = (-1/2)x + 5
Step-by-step explanation:
As we move from the y-intercept (0, 5) to the x-intercept (10,0), x increases by 10 units while y decreases by 5 units. Thus, the slope of this line is
m = rise / run = -5 / 10 = -1/2.
Since we know both the slope and the y-intercept of this line, let's use the slope-intercept form of the equation of a straight line: y = mx + b.
Substituting -1/2 for m and 5 for b, we get:
y = (-1/2)x + 5