20 students are going to the trip and of those 20, 10 are bringing their own lunches
Answer:
Step-by-step explanation:
Distance has to do with how far an object or a body has travelled. If a hiker starts at point P and walks 2.0 kilometers due east and then 1.4 kilometers due north, the total distance covered by the hiker will be:
Distance = 2.0km + 1.4km
Total distance travelled = 3.4km
The displacement is the distance covered in a specified direction. This is expressed using the Pythagoras theorem as shown:
R² = 2.0²+1.4²
R² = 4+1.96
R² = 5.96
R = √5.96
R = 2.44km
Hence the magnitude of the hiker’s displacement vector R is 2.44km
Find the diagram attached
The solution is: x= 7 and y = 2
Step-by-step explanation:
Given equations are:
Putting x = 3y+1 in equation 2 from equation 1
Subtracting 1 from both sides
Dividing both sides by 7
Putting y=2 in equation 1
Hence,
The solution is: x= 7 and y = 2
Keywords: Linear equations, substitution method
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Answer:
The correct answer is:
Step-by-step explanation:
As stated in the question that x represents the number of minutes his <em>normal</em> commute takes. Here the keyword is normal; in the <em>normal</em> commute, Ken takes side streets instead of the toll road.
However, in this scenario, we have to come up with the equation that takes Ken's commute via <em>toll road</em>.
Ken can travel 3 times faster by taking the toll road (Given), which can be represented in the mathematical terms in terms of x as follows:
<em>Without considering Ken getting late, </em>the equation would become the following:
--- (A)
<em>As Ken is leaving late</em>, we have to incorporate that time as well by <em>adding</em> it in the aforementioned equation (A).
In this case, it's 20 minutes; therefore, the equation (A) will become:
Hence, the correct answer is .
Answer:
With angle 4 as they are opposite angles