For the equation 2(4x+10)=8x+k what value of k will create infineltly many solutions please help
1 answer:
Answer:
The value of k = 20 for equation 2(4x+10)=8x+k to have infinitely many solutions.
Step-by-step explanation:
Given the expression
solving
We know that the equations with infinitely many solutions have the same expressions on both sides
It means the value of k can be determined by further simplifying such as
8x+20-8x = k
20 = k
Therefore, the value of k = 20 for equation 2(4x+10)=8x+k to have infinitely many solutions.
VERIFICATION:
Given
Put k = 20 in the equation
equations with infinitely many solutions have the same expressions on both sides.
This means the statement is always true.
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Answer:
51.877 kg
Step-by-step explanation:
a
See attachment for calculations
b
The amount of salt in the tank after 4 hours is gotten by simply replacing t in the equation from a, with 4 hours. Since the t gotten in a above is in minutes, we'd convert hours to minute as well. If we do that, we have
t = 4 hours = 4 * 60 minutes = 240 minutes
y = 160/3 (1 - e^((-3 * 240)/200))
y = 160/3 (1 - e^(-720/200))
y = 160/3 (1 - 0.0273)
y = 160/3 (0.9727)
y = 51.877 kg
Therefore, the amount of salt in the tank after 4 hours is 51.877 kg
Answer: 0.25
<u>Step-by-step explanation:</u>
You need to convert the cm³ into m³
= .25 m³ per m²