Answer:
87 packages
Step-by-step explanation:
First we need to find the volume of the cone-shaped vase.
The volume of a cone is given by:
V_cone = (1/3) * pi * radius^2 * height
With a radius of 9 cm and a height of 28 cm, we have:
V_cone = (1/3) * pi * 9^2 * 28 = 2375.044 cm3
Each package of sand is a cube with side length of 3 cm, so its volume is:
V_cube = 3^3 = 27 cm3
Now, to know how many packages the artist can use without making the vase overflow, we just need to divide the volume of the cone by the volume of the cube:
V_cone / V_cube = 2375.044 / 27 = 87.9646 packages
So we can use 87 packages (if we use 88 cubes, the vase would overflow)
Answer:
B. What was the highest temperature this month?
Step-by-step explanation:
Rory is recording the <em>high</em><em>est</em><em> temperature</em> for the duration of the day for month's worth of data.
B. is the easiest one to answer, as you simply will have to look for the greatest number within the set, and that will be the answer.
A. is too broad, and does not imply that only the "high temperature" is needed, rather just a leveled temperature within day in that month.
C. is the opposite of what Rory had recorded, and without data, he cannot answer it.
D. is answerable as well, but, again, the only temperature recorded is the high temperature. Temperature can fluctuate depending on the time of the day, and can be in the 50s one hour and the 90s in another.
~
7 × __ = 94
Divide by 7 on both side.
__ = 94 ÷ 7
Answer = 13 3/7
Answer:
24.2 years
Step-by-step explanation:
The basic formula is I = P * i * t, where I is interest, P is total principal (or profit), i is rate of interest per year, and t is total time in years. I = P * i * t can be rearranged to solve for t: t = I / (i * p).
In this question I = $6400, P = $3200 and i = 8.25%, so we plug in those numbers to get t = 6400 / (0.0825 * 3200), which solves to 24.2424 years.
