Answer:148
Step-by-step explanation:
125g x 8 = 1000g
18.5x8=148
Using a linear function, it is found that it will take 13 hours for the candle to burn down to a height of .25 inches.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
Considering the situation described, the y-intercept is of 10 while the slope is of -0.75, hence the height of the candle after t hours is given by:
h(t) = 10 - 0.75t
The height will be of 0.25 inches when h(t) = 0.25, hence:
0.25 = 10 - 0.75t
0.75t = 9.75
t = 9.75/0.75
t = 13 hours.
More can be learned about linear functions at brainly.com/question/24808124
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Let x = miles traveled by car
Let y = miles traveled by truck.
Because the total distance is 305 miles,
x + y = 305 (1)
Let t = hours of travel by truck. Because the truck speed is 55 mph,
55*t = y
or
t = y/55 (2)
The car has an hour head start, therefore it travels for (t + 1) hours.
Because the car travels at 65 mph,
65*(t + 1) = x
Substitute (2) to obtain
65*(y/55 + 1) = x
or
1.1818y + 65 = x (3)
From (1), obtain
1.1818y + 65 = 305 - y
2.1818y = 240
y = 110
x = 305 - y = 195
From (2),
t = 110/55 = 2 hours
The two vehicles pass each other at 2:00 pm + 2 hours = 4:00 pm
Answer: 4:00 pm
Answer:
no solutions
Step-by-step explanation:
6x² - 4x + 3 = 0
Therefore, a = 6, b = -4 and c = 4
Discriminant = b² - 4ac
⇒ (-4)² - (4 x 6 x 4) = 16 - 96 = -80
Therefore, b² - 4ac < 0 so no solutions to the equation
