The drama club is selling short-sleeved shirts for $5
1 answer:
The system of the equation that represents the situation is 5x + 10y = 1750, (1/3)x + (1/2)y = 100, and the number of short-sleeved shirts that were ordered is 150 and long-sleeved is 100.
<h3>What is a linear equation?</h3>It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
The question is incomplete.
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We have:
The selling price of long-sleeved shirts for $10 each.
The selling price of short-sleeved shirts for $5 each.
Now,
5x + 10y = 1750
After solving both equations:
x = 150
y = 100
Thus, the system of the equation that represents the situation is 5x + 10y = 1750, (1/3)x + (1/2)y = 100, and the number of short-sleeved shirts that were ordered is 150 and long-sleeved is 100.
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Answer:
<h2> RS = 47</h2>Step-by-step explanation:
RV=VU and SW=WT ⇒
Therefore:
3x + 5 = 4x - 11 {subtract 5 from both sides)
3x = 4x - 16 {subtract 4x from both sides)
-x = -16 {divide both sides by (-1)}
x=16
So:
RS = 2x + 15 = 2×16 + 15 = 32 + 15 = 47
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Answer:
see below
Step-by-step explanation:
The y-coordinates of the points are the same, so the distance between those points will be the difference of the x-coordinates. The first number line shows those x-coordinates plotted properly. It can be used to find the difference between them.
Imagine you're moving along the segment. Since the midpoint is in the middle of the segment (obviously), it means that when you've traveled from G to A, you're halfway through your journey, along both x and y directions. So, let's break the problem in two and analyze both directions.
Along the x axis, you've moved from -3 to 1, so you moved 4 units forward. This means that you have 4 units still to go, and your journey will end at coordinate 5.
Similarly, along the y axis, you've moved from 5 to -4, so you moved 9 units downward. This means that you have 9 units still to go, and your journey will end at coordinate -13.
So, the coordinates of the endpoint are
If you prefer a more analyitical approach, simply write the definition of the midpoint and solve it for the coordinates of T.
We have and
. The midpoint is computed as
So, you have the equations
Multply both equations by 2 to get
Move the constants to the right hand sides to get