Answer:
y = -2/3x - 3
Step-by-step explanation:
First, write the equation using the slope. It should look like this: y = -2/3x + b. Next, find the y intercept by plugging in the point. This is what it looks like: -1 = -2/3(-3) + b. Multiply -2/3 by -3 to get 2. This is what it should look like now: -1 = 2 + b. Subtract 3 from both sides to get -3 = b. Go back to your original equation and plug in -3 for b. This is your final equation:
y = -2/3x - 3
Hope this helped! :)
Yes, the distance a sailfish swims propotional to the number of hours it swims
Answer:
The answer is below
Step-by-step explanation:
a) Let x represent the time taken to drive to see the relatives and let d be the distance travelled to go, hence:
60 mi/h = d/x
d = 60x
When returning, they still travelled a distance d, since the return trip takes 1 h longer than the trip there, therefore:
40 mi/h = d/(x+1)
d = 40(x + 1) = 40x + 40
Equating both equations:
60x = 40x + 40
60x - 40x = 40
20x = 40
x = 40/20
x = 2 h
The time taken to drive there = x = 2 hours
b) The time taken for return trip = x + 1 = 2 + 1 = 3 hours
c) The distance d = 60x = 60(2) = 120 miles
The total distance to and fro = 2d = 2(120) = 240 miles
The total time to and fro = 2 h + 3 h = 5 h
Average speed = total distance / total time = 240 miles / 5 h = 48 mi/h
Answer:
A. 2(x + 9) = 8
Step-by-step explanation:
To solve this problem, we proceed as follows:
- We call "x" the number picked up by Amy:

- Amy then adds 9 to this number, so we get:

- Then, we multiply this sum by 2, so we get:

- Finally, Amy says that this number is equal to 8:

So the correct equation is
A. 2(x + 9) = 8
We can even solve it to find the number. We get:

The electric power of microwave is 900 watts.
Step-by-step explanation:
Given,
Voltage in the circuit = 120 volts
Current in the circuit = 7.5 amp
Electric power of microwave = Voltage*Current
Electric power of microwave = 
Electric power of microwave = 900 watts
Therefore,
The electric power of microwave is 900 watts.
Keywords: current, power, multiplication
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