3k + 3n = 3(k+n) is this association axiom for addition or multiplication
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Given that the table shows the total miles Uyen has run this week.
The image of the table is attached below.
The total distance from the table is
The total distance this week is 1.5 times the distance that she ran last week.
We need to determine the number of miles that Uyen run last week.
<u>The number of miles Uyen run last week:</u>
Let x denote the number of miles that Uyen run last week.
Let us write the equation from the given data.
Thus, we have;
Dividing both sides by 1.5, we have;
Hence, the value of x is 14.8 miles.
Thus, Uyen ran 14.8 miles last week.
Answer:
See below.
Step-by-step explanation:
Create a system of equations to represent this scenario.
- Lin: 12 - 1/3x = y
- Diego: 20 - 2/3x = y
1) A graph of these equations is attached below. Lin is in red; Diego is in blue.
2) The time (seconds) is on the x-axis, while the milkshake (oz) is on the y-axis. The graph shows the rate of change that the volume of the milkshake is decreasing for both Lin and Diego. The intersection point tells us at what time t (s) Lin and Diego have the same amount of milkshake left.
There is only one solution to this system of equations: (24, 4). This tells us that at t = 24 s, Lin and Diego both have 4 oz of milkshake left.
The zeros, aka where the graph touches the x-axis, tell us at what time Lin and Diego finish their milkshakes.
Lin finishes her milkshake later than Diego, at t = 36 s (36, 0), while Diego finishes his milkshake at t = 30 s (30, 0).
