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
About 1352
There r about 52 weeks in a year
Divide 52 by 6 = 8.66666667
Multiply 8.6666667 by 156 you will get 1352 per year
Let d = the length of the trail, miles
Note that
distance = speed * time
or
time = distance / speed.
The time, t₁, to travel the trail at 3 miles per hour is
t₁ = d/3 hours
The time, t₂, to travel back at 5 miles per hour is
t₂ = d/5 hours
Because the total time is 3 hours, therefore
t₁ + t₂ = 3
d/3 + d/5 = 3
d(1/3 + 1/5) = 3
d(8/15) = 3
Multiply each side by 15.
8d = 3*15 =45
d = 45/8 = 5 5/8 miles or 5.625 miles
Total distance = 2*d = 11.25 miles or 11 1/4 miles.
t₁ = 5.625/3 = 1.875 hours or 1 hour, 52.5 minutes
t₂ = 5.625/5 = 1.125 hours or 1 hour , 7.5 minutes
Answers ;
Time to travel at 3 miles per hour = 1.875 hours (1 hour, 52.5 minutes)
Time to return at 5 miles per hour = 1.125 hours (1 hour, 7.5 minutes)
Total distance traveled = 2*d = 11.25 miles.
To make the monomial 125 x^18 y^3 z^25 a perfect cube, the entire expression should be reduced to a rational number when the cube root is taken. For the constant 125, the cube root is 5, so it doesn't need to be changed. For the variables, the exponents should be divisible by 3. The exponent of z is not divisible by 3. It can be subtracted with 1 or added with 2 to make the expression a perfect cube.
Answer:
B
Step-by-step explanation:
- Parabola that is opening upward has the form
- Parabola opening downward has the form
- Parabola opening leftward has the form
- Parabola opening rightward has the form
Where a is a constant
Now, looking at the graph given, it takes the form
Where a is 3 (matching the answer).
Hence, B is the correct answer choice.
