ALGEBRA Jake Duffy drove 12,568 miles
1 answer:
The fee Jack Duffy charges per mile is $0.278, making option B correct.
Detailed explanation:
Given:
Jack Duffy's travel distance = d = 12,568 miles
Fixed costs amount to = $1,485.00
Variable costs amount to = $2,015.75
Let the cost per mile charged by Jack Duffy be = $x
According to the provided information
Total cost = Fixed costs + Variable costs
Thus, Total cost = $1,485.00 + $2,015.75
This equates to Total cost = $3,500.75
Therefore, The cost Jack Duffy charges per mile =
Hence, x = $0.278 per mile
This leads us to conclude that Jack Duffy’s charging rate is $0.278 per mile, confirming option B.
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<span>Which formula can be applied to find the side length of the rhombus?
The correct answer is the first choice: 10/Cos(30°)
Explanation:
1. The figure shows a right triangle, where the hypotenuse is denoted by "x," and this is the length you are solving for. Therefore, you have:
Cos(</span>α)=Adjacent side/Hypotenuse
<span>
</span>α=30°
<span> Adjacent side=(20 in)/2=10 in
Hypotenuse=x
2. Inputting these numbers into the equation yields:
</span>
Cos(α)=Adjacent side/Hypotenuse
<span> Cos(30°)=10/x
3. Hence, by isolating the hypotenuse "x," you arrive at the expression to find the side length of the rhombus, as shown below:
x=10/Cos(30°)
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The correct answer is the first choice: 10/Cos(30°)
Explanation:
1. The figure shows a right triangle, where the hypotenuse is denoted by "x," and this is the length you are solving for. Therefore, you have:
Cos(</span>α)=Adjacent side/Hypotenuse
<span>
</span>α=30°
<span> Adjacent side=(20 in)/2=10 in
Hypotenuse=x
2. Inputting these numbers into the equation yields:
</span>
Cos(α)=Adjacent side/Hypotenuse
<span> Cos(30°)=10/x
3. Hence, by isolating the hypotenuse "x," you arrive at the expression to find the side length of the rhombus, as shown below:
x=10/Cos(30°)
</span>