An auto service center that specializes in oil changes has two service bays that serve, on average, a total of 24 cars per eight
1 answer:
Answer:
Step-by-step explanation:
Given
Number of service bays
Time taken by each bay to finish one oil change
Working capacity hours per day
Thus, in hours the total number of times one bay has changed the oil is equal to
If one service bay's capacity is equal to , capacity of two service bays is equal to
Thus, the design capacity is
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So first we need to find the total before tax. Let's add up the two prices:
So we know that the total before tax is $381. Now we are told that the sales tax on these items is 6.5%. It would be easier for us to convert 6.5% to a decimal in order to multiply. Let's convert 6.5% to a decimal by dividing by 100:
Now that we have the sales tax in decimal form, let's multiply this sales tax by the total amount of the items before tax ($381):
This means that $24.77 is the tax for this purchase. To find the total amount that Jon paid for these items after tax, you must add the tax to the total amount before tax to give you:
So now we know that Jon's total bill for these items is $405.77.
So we know that the total before tax is $381. Now we are told that the sales tax on these items is 6.5%. It would be easier for us to convert 6.5% to a decimal in order to multiply. Let's convert 6.5% to a decimal by dividing by 100:
Now that we have the sales tax in decimal form, let's multiply this sales tax by the total amount of the items before tax ($381):
This means that $24.77 is the tax for this purchase. To find the total amount that Jon paid for these items after tax, you must add the tax to the total amount before tax to give you:
So now we know that Jon's total bill for these items is $405.77.
Answer:
Hence, none of the options presented are valid. The plane is represented by .
Step-by-step explanation:
The general equation in rectangular form for a 3-dimension plane is represented by:
Where:
,
,
- Orthogonal inputs.
,
,
,
- Plane constants.
The plane presented in the figure contains the following three points: (2, 0, 0), (0, 2, 0), (0, 0, 3)
For the determination of the resultant equation, three equations of line in three distinct planes orthogonal to each other. That is, expressions for the xy, yz and xz-planes with the resource of the general equation of the line:
xy-plane (2, 0, 0) and (0, 2, 0)
Where:
- Slope, dimensionless.
,
- Initial and final values for the independent variable, dimensionless.
,
- Initial and final values for the dependent variable, dimensionless.
- x-Intercept, dimensionless.
If ,
,
and
, then:
Slope
x-Intercept
The equation of the line in the xy-plane is or
, which is equivalent to
.
yz-plane (0, 2, 0) and (0, 0, 3)
Where:
- Slope, dimensionless.
,
- Initial and final values for the independent variable, dimensionless.
,
- Initial and final values for the dependent variable, dimensionless.
- y-Intercept, dimensionless.
If ,
,
and
, then:
Slope
y-Intercept
The equation of the line in the yz-plane is or
.
xz-plane (2, 0, 0) and (0, 0, 3)
Where:
- Slope, dimensionless.
,
- Initial and final values for the independent variable, dimensionless.
,
- Initial and final values for the dependent variable, dimensionless.
- z-Intercept, dimensionless.
If ,
,
and
, then:
Slope
x-Intercept
The equation of the line in the xz-plane is or
After comparing each equation of the line to the definition of the equation of the plane, the following coefficients are obtained:
,
,
,
Hence, none of the options presented are valid. The plane is represented by .