In this scenario, the first step is to assign variables.
We define:
x: time measured in minutes
y: distance covered.
The equations formulated are as follows:
For Kathleen:
For Arnob:
At the moment Arnob meets Kathleen, we have:
Next, we isolate x.
We now have:
Answer:
Arnob takes a total of 75 minutes to catch up to Kathleen:
d. 75
Answer:
Step-by-step explanation:
Consider the two lines TRW and SRV intersecting at point R, as illustrated in the diagram below and:
Answer: 470.85 gallons
Step-by-step explanation:
12.9 gal/min multiplied by 36.5 min equals 470.85 gal
Based on the graph, it seems that S′(5) is approximately 2, while S′(25) seems to be around -2. The key observation is that these values are of opposite signs. This indicates that at roughly 5ºC, the Coho salmon experiences an increase of about 2 cm/sec in its maximum sustainable speed, whereas at 25ºC it encounters a decrease of approximately 2 cm/sec.
(2 6/7) divided by (1 2/3) equals x over 1.
Cross-multiply and convert mixed numbers to improper fractions:
(5/3)x = 20/7
Solving for x:
x = (20/7) × (3/5)
x = 60/35, which simplifies to 1 5/7 songs per minute.
