Write an inequality that represents the following:
1 answer:
Answer:
The maximum number of hours can be spend on work is 4 hours
Step-by-step explanation:
Given as :
The fixed charge of an auto shop = $100
The labor charge of auto shop = $175 per hour
The maximum money to be spend = $800
Let The maximum number of hours can be spend on work = n hours
<u>According to question</u>
The maximum money to be spend = fixed charge of an auto shop + labor charge of auto shop per hour × maximum number of hours
Or, $800 = $100 + $175 × n
Or, $175 × n = $800 - $100
Or, $175 × n = $700
∴ n =
i.e n = 4
So, The maximum number of hours can be spend on work = n = 4 hours
Hence, maximum number of hours can be spend on work is 4 hours Answer
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Answer:
a) (11/7, 9/7)
b) There's no point of intersection
Step-by-step explanation:
a) x - 2y + 1 = 0
2x + 3y - 7 = 0
To find the point of intersection, we need to solve the system of equations and the result will be the point of intersection (x,y)
Now we substitute x in the second equation:
Now we substitute y in our first equation.
.
The point of intersection is (11/7, 9/7)
b) x -2y +11 =0
-x + 2y - 13 =0
We are going to follow the same procedure:
Since this system of equations doesn't have a solution, the system has no point of intersection.
I drew it out below (don't you just love my effort? XD)
You're gonna use the sine trig function to find the length of the shadow
sin26 / 1 = 43 / x; now you cross multiply
sin26 x = 43; divide both sides by sin26
x = 43 / sin26
x = 98 which is the shadow
Hope this helps!
