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gizmo_the_mogwai [7]
4 years ago
14

One month, Ruby worked 7 hours more than Isaac, and George worked 3 times as many hours as Ruby. Together they worked 150 hours.

How many total hours did they work? Send
Mathematics
1 answer:
EastWind [94]4 years ago
3 0

Answer:

Issac worked 24.4 hrs, Ruby worked 31.4 hrs, and George worked 94.2 hours

Step-by-step explanation:

x= hours worked

Issac= x Ruby= (x+7) George= 3(x+7)

x+(x+7)+3(x+7) = 150 [distribute 3 to (x+7)]

x+(x+7)+(3x+21) = 150 [add from left to right]

5x+28 = 150 [subtract 28 from both sides]

5x = 122 [divide both sides by 5]

x=24.4

Now plug the x value back into Issac, Ruby, and George's equations:

Issac=x=24.4

Ruby=x+7=31.4

George=3(x+7)=94.2

Double check by adding all their work hours together

24.4+31.4+94.2=150!!

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Coordinates of the new library is (150, 70)

Step-by-step explanation:

To get the shortest possible distance means that line from point T to point R has to be perpendicular.

Now, the equation of R is given as;

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Putting 70 for y in eq 1 gives;

70 = x - 80

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x = 150

Thus;

Coordinate of the new library is (150, 70)

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