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1 answer:
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y = 12x represents the gallons of paint used in x hours.
Step-by-step explanation:
CJ uses 3 gallons of paint in 15 minutes,
15 minutes = 3 gallons
1 minutes =
1 hour = 60 minutes
Gallons of paint used in 1 hour;
1 hour =
CJ uses 12 gallons of paint in 1 hour.
For x hours = 12*x = 12x
Gallons of paints used = y
y = 12x represents the gallons of paint used in x hours.
Keywords: linear equation, multiplication
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Answer: x = 6
Step-by-step explanation:
Because we are given that the two figures are already similar, we can set up a proportional relationship to determine the value of x. Since the larger rectangle has a width of 21 and the smaller rectangle has a width of 7, those values can be used as the numerators in the proportion. Since the larger rectangle's length is x plus the additional 3 units on the smaller rectangle, x+3 and 3 can be used as the denominators in the proportion.
Next, we set up the proportion as follows:
Then, you cross multiply to get the equation:
After solving down algebraically, you get the value of x to be 6.
I hope this helps!
Answer:
25
Step-by-step explanation:
Those parallel lines tell us our triangles are similar. So that means the corresponding sides are proportional.
So we have that x corresponds to x+15 and
40 corresponds to 24+40.
So we have this proportion to solve:
Let's simplify what we can:
Cross multiply:
Multiply/distribute:
Subtract 40x on both sides:
Divide both sides by 24:
x=25