Answer:
$2,239.66
Step-by-step explanation:
To find the amount of reimbursement, convert miles to km by multiplying 1564 by 1.609 since 1 mile = 1.609 km.
He drive 1564(1.609)=2,516.476 km.
Multiply this distance by $0.89 per km.
2516.476(0.89)=$2,239.66
Answer:
26.66667 yards of carpet (240/9)
Step-by-step explanation:
Answer:
165 combinations possible
Step-by-step explanation:
This is a combination problem as opposed to a permutation, because the order in which we fill these positions is not important. We are merely looking for how many ways each of these 11 people can be rearranged and matched up with different candidates, each in a different position each time. The formula can be filled in as follows:
₁₁C₃ = 
which simplifies to
₁₁C₃ = 
The factorial of 8 will cancel out in the numerator and the denominator, leaving you with
₁₁C₃ = 
which is 165
The vertex of the function f(x) = |x - a| is in (a, 0).
f(x) + a - shift the graph of function f(x) a units up.
Therefore:
The verex of y = |x + 5| is in (-5, 0).
The vertex of y + 7 = f(x) = |x + 5| + 7 is in (-5, 0 + 7) = (-5, 7).
Answer:
It must be proven to be a quadrilateral
Step-by-step explanation:
The question is straightforward, and it requires a direct answer.
A rhombus has four sides and as such it means it is a type of quadrilateral.
So, before a shape is proven to be a rhombus, it has to first be proven to be a quadrilateral.