Number of lilies used= 30 lilies
Number of roses used= 78 roses
To make the six identical arrangements:
We need to divide lilies into six equal parts, as well as number of roses in six equal parts.
I=Number of lilies in each arrangement =
r=Number of roses in each arrangement =
Total number of flowers in arrangement (I + r)= 5 Lilies + 13 Roses=18 (Flowers)
The relationship between l, the number of lilies, and r, the number of roses:
→ 5 I = 13 r
Answer:
The cost per mile that Jack Duffy charge $0.278 per miles , i.e option B
Step-by-step explanation:
Given as :
The distance drove by Jack Duffy = d = 12,568 miles
The fixed costs totaled = $1,485.00
The variable cost totaled = $2,015.75
Let The cost per mile that Jack Duffy charge = $x cost per miles
Now, According to question
The totaled cost = The fixed costs + The variable cost
Or, The totaled cost = $1,485.00 + $2,015.75
I.e The totaled cost = $3500.75
Now,
The cost per mile that Jack Duffy charge =
I.e x =
∴ x = $0.278 per miles
So,The cost per mile that Jack Duffy charge = x = $0.278 per miles .
Hence,The cost per mile that Jack Duffy charge $0.278 per miles , i.e option B Answer
The fraction which produce an equivalent fraction with a rational denominator is
Explanation:
The equation is
To find the rational denominator, let us take conjugate of the denominator and multiply the conjugate with both numerator and denominator.
Rewriting the equation, we have,
Multiplying, we get,
Simplifying the denominator, we get,
Subtracting, the values of denominator,
Dividing the numerator and denominator,
Hence, the denominator has become a rational denominator.
Thus, the fraction which produce an equivalent fraction with a rational denominator is