Answer:
z = 4/5
Step-by-step explanation:
3(5z + 7) = 33
Divide each side by 3
3/3(5z + 7) = 33/3
5z+7 = 11
Subtract 7 from each side
5z+7-7 = 11-7
5z = 4
Divide by 5
5z/5 = 4/5
z = 4/5
cos(37°15') = cos(37.25°) ≈ 0.7960
15' means 15/60 of a degree, or 0.25 degrees.
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Note: the calculator mode is set to <em>Degrees</em>.
The answer is the first option: y = -1/2x+8 :)
Answer:
D) 4x + 2y ≤ 25 , x + y ≥ 8 is the required system of inequalities
to represent the given situation.
Step-by-step explanation:
Here, let the number of color copies = x
Now, the time taken to print each color copy = 4 minutes
⇒Time taken to print x color copies = x times ( Time taken by each copy)
= 4 (x) = 4x
and let the number gray scale copies = y
The time taken to print each gray scale copy = 2 minutes
⇒Time taken to print y gray scale copy = y times (Time taken by each copy)
= 2 (y) = 2y
Total copies printed = x + y
Maximum time taken to print x color copies and y grayscale copies
= 4x + 2y
So, according to the question:
4x + 2y ≤ 25 ( as maximum allotted time is 25 minutes)
and x + y ≥ 8 (as minimum number of copies is 8)
hence, the above system is the required system of inequalities to represent the given situation.
