Let t = the number of days the mouse travels
Let D = the distance that the mouse traveled
The mouse travels at a rate of 1.5 miles per day, so R = 1.5 mi/day
The equation is:
Distance (D) = Rate (R) x Time (t)
SO:
Distance (D) = 1.5 mi./day X Time (t)
The equation of a line is written as t = ax + b where a is the slope and b is the y-intercept.
Using the slope and y intercept given the equation is:
Y = 3x + 2
Answer:
C) Distributive Property
Step-by-step explanation:
You're <em>distributing</em> in the 3 when you multiply it by the 5 and the 2 in the algebraic process:
➦ ➦
3•(5 + 2) = (3 • 5) + (3 • 2)
So, the 3 was <em>distributed</em> between the 5 and 2 when you multiplied.
Hence, this is the distributive property.
Answer: the rate of the jet in still air is 685 mph and the rate of the jetstream is 75 mph
Step-by-step explanation:
Let x represent the rate of the jet in still air.
Let y represent the rate of the jet jetstream.
Distance = speed × time
Flying against the jetstream, a jet travels 3050 miles in 5 hours. This means that the total speed of the jet would be (x - y) mph. Therefore,
3050 = 5(x - y)
3050/5 = x - y
x - y = 610 - - - - - - - - - - - - - -1
Flying with the jetstream, the same jet travels 3800 miles in 4 hours. This means that the total speed of the jet would be (x + y) mph. Therefore,
3800 = 4(x + y)
3800/5 = x + y
x + y = 760 - - - - - - - - - - - - - -2
Adding equation 1 to equation 2, it becomes
2x = 1370
x = 1370/2 = 685mph
Substituting x = 685 into equation 1, it becomes
685 - y = 610
y = 685 - 610 = 75mph
The guy who links files is pretty annoying amiright...
Divide 18/35 by 3/5 to get your answer. You can also multiply 3/5 by 35/18.
5 goes into 35 7 times, so cross out the 5 and 35 and put 1 and 7. 3 goes into 18 6 times, so cross out the 3 and 18 and put 1 and 6.
Now you have 1/1 times 7/6. Your answer is 7/6.
