28. Solve for x.
1 answer:
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Answer:
Required equation :
Together they can paint the same room in 2.25 hours or 2 hours 15 minutes.
Step-by-step explanation:
It is given that Dale Horton can paint a certain room in 3 hours.
One hour woks of Dale Horton = 1/3
Kathy Garcia can paint the same room in 9 hours.
One hour woks of Kathy Garcia = 1/9
Let together they can paint the same room in t hours.
One hour woks of both = 1/t
After reciprocal we get
1 hour = 60 minutes.
0.25 hour = 15 minutes.
Therefore, together they can paint the same room in 2.25 hours or 2 hours 15 minutes.
Let one number be x and the other number be y.
The 2 equations are:
x - y = 0.6 --------------- (1)
x/y = 0.6 --------------- (2)
From equation (1):
x - y = 0.6
x = 0.6 + y --------------- Sub into (2)
0.6 + y= 0.6y
y - 0.6y = - 0.6
0.4y = - 0.6
y = -0.6 ÷ 0.4
y = -1.5
Sub y = -1.5 into (1):
x - y = 0.6
x - (-1.5) = 0.6
x + 1.5 = 0.6
x = 0.6 - 1.5
x = - 0.9
Answer: The numbers are -0.9 and -1.5
The 2 equations are:
x - y = 0.6 --------------- (1)
x/y = 0.6 --------------- (2)
From equation (1):
x - y = 0.6
x = 0.6 + y --------------- Sub into (2)
0.6 + y= 0.6y
y - 0.6y = - 0.6
0.4y = - 0.6
y = -0.6 ÷ 0.4
y = -1.5
Sub y = -1.5 into (1):
x - y = 0.6
x - (-1.5) = 0.6
x + 1.5 = 0.6
x = 0.6 - 1.5
x = - 0.9
Answer: The numbers are -0.9 and -1.5