Answer:
(5,-1)
Step-by-step explanation:
4x+3y=17
3x+2y=13
So elimination sounds fun but we will have to do manipulation:
Multiply top equation by 2 and bottom equation by 3. This will cause the second term in both by 6y which means we would be setup for elimination.
8x+6y=34
9x+6y=39
--------------------now subtract the equations
-x+0=-5
So x=5
Now plug it into either question (no matter which-pick and choose)
I will go with the second original 3x+2y=13
So if x=5 we have 15+2y=13
Subtract 15 on both sides: 2y=-2
Now divide both sides by 2: y=-1
Answer (5,-1)
B. 800 signs
C. 1,000 signs
D. 1,500 signs
Blaine could make approximately 650 signs in forty hours.
Calculate the working hours
Blaine needs 14 hours to set up his work station. So, out of the total 40 hours, he will have
=> 40 - 14 = 26 hours to actually work on making signs.
Calculate the minimum number of signs he can make
If Blaine makes 16 signs per hour, then in 26 hours, he will make a minimum of
=> 16 * 26 = 416 signs.
Calculate the maximum number of signs he can make
If Blaine makes 23 signs per hour, then in 26 hours, he will make a maximum of
23 * 26 = 598 signs.
Calculate the average number of signs he can make
To get a more reasonable estimate, we take the average of the minimum and maximum number of signs:
Average = (Minimum + Maximum) / 2
= (416 + 598) / 2 = 650 signs.
Hence the correct option is (a).
To know more about average here
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a. $8.55
c. $367.65
b. $342.00
d. $380.48
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