Select the story problem that this equation represents 1/2 / 2/5
1 answer:
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<u>Answer:</u> The value of x will be 2.
<u>Step-by-step explanation:</u>
To calculate the value of 'x' or solve for x, we need to isolate x from 8.
In the equation, 8 is in addition with 'x' so for isolating it, we need to apply the reverse operation of addition.
Reverse operation of addition is subtraction.
We need to subtract 8 from both sides of the equation, we get:
By doing this, we get the value of 'x' as 2.
Error done by Alice was that she added 8 and it did not led to the isolation of 'x'.
Answer:
Step-by-step explanation:
Data provided:
ln(x) + 2 ln(y) − 3 ln(z)
Now,
From the properties of log function,
ln(A) + ln(B) = ln(AB)
n × ln(x) = ln(xⁿ)
and,
ln(A) - ln(B) =
applying the properties in the given equation
we get
⇒ ln(x) + 2 ln(y) − 3 ln(z)
or
⇒ ln(x) + ln(y²) - ln(z³) (using n × ln(x) = ln(xⁿ))
or
⇒ ln(xy²) - ln(z³) (using ln(A) + ln(B) = ln(AB) )
or
⇒ (using ln(A) - ln(B) =
)
Answer:
Please find attached the graph of the relationship between the gallons, g, and cost, C
The relationship between the cost and number of gallons is cost C = $3.25 × Number of gallons, g
Step-by-step explanation:
The given parameters are;
Number of Gallons, g Cost, C
6 $19.50
22 $71.50
From the given coordinates, we generate the graph using Microsoft Excel, as seen in the attached graph
The given coordinates can be used to find the equation of the relationship in point and slope form as follows;
The slope of the the given coordinates are (71.5 - 19.5)/(22 - 6) = 3.25
The equation of the graph in point and slope form is C - 71.5 = 3.25·(g - 22)
C - 71.5 = 3.25·(g - 22)
C = 3.25·g - 3.25 × 22 + 71.5 = 3.25·g - 0
C = 3.25·g
The relationship between the cost and number of gallons is cost C = $3.25 × Number of gallons, g
From the above equation, we have, that the price per gallon is $3.25
