Answer: the cost would be the same for 12 shirts.
Step-by-step explanation:
Let x represent the number of shirts for which the cost would be the same.
One company charges $9.65 per shirt plus a setup fee of $43. This means that total amount charged for x shirts would be
9.65x + 43
Another company charges $8.40 per shirt plus a $58 fee. This means that total amount charged for x shirts would be
8.4x + 58
For both costs to be the same, the number of shirts would be
9.65x + 43 = 8.4x + 58
9.65x - 8.4x = 58 - 43
1.25x = 15
x = 15/1.25 = 12
Angle STR = 28 (since this angle is equal to SRT = 28)
Angle STU = 2x
The two angles STR and STU form a straight angle. They are supplementary. This means they add to 180 degrees
(angle STR) + (angle STU) = 180
28 + 2x = 180 .... substitution property
2x + 28 = 180
2x + 28 - 28 = 180 - 28 ... subtract 28 from both sides
2x = 152
2x/2 = 152/2 ... divide both sides by 2
x = 76
Answer: (b) 76
y = mx + b
m: slope
b: y-intercept
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
3x + 9y = 18
-3x -3x
9y = -3x + 18
/9 /9
y = -3/9x + 2 OR y = -1/3 + 2
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
m = -3/9 OR -1/3
b = 2
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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Answer:
B:0
Step-by-step explanation:
The perimeter for this case is given by:
Substituting values we have:
The area is given by:
Writing the area based on a variable we have:
We derive the area to obtain the maximum of the function:
We equal zero and clear x:
Then, the other dimension is given by:
Finally the maximum area is:
Answer:
The length and width of the plot that will maximize the area are:
The largest area that can be enclosed is: