MATHEMATICS
COLLEGE

What is the relationship between P and M?

Answer: Want to use some of the algebra rules of log's:

log(a)-log(b)= log(a/b),

so log(P/N) - log(M/N) = log( P/N:M/N) = log(P/M),

Then: 8-5 = log(P/M), log(P/M)=3.

If log here means natural logarithm (base e), then P/M = e^3,

If log here means basis 10, decimal logarithm, then P/M = 10^3 = 1000.

log(a)-log(b)= log(a/b),

so log(P/N) - log(M/N) = log( P/N:M/N) = log(P/M),

Then: 8-5 = log(P/M), log(P/M)=3.

If log here means natural logarithm (base e), then P/M = e^3,

If log here means basis 10, decimal logarithm, then P/M = 10^3 = 1000.

MIDDLE SCHOOL

A cone has a diameter of 18 units and a slant height of 15 units. Find the volume of the cone.

Formula for volume:

πr^2(h/3)

Diameter divided by 2 is the radius

18/2 = 9

radius: 9 units

Use pythagorean theorem to find height

x^2 + 9^2 = 15^2

225 - 81 = 144

x^2 = 144

x = 12

height: 12 units

Plug these number in the volume formula.

Thus, it should be looking as:

π9^2(12/3) = 1017.88

Answer:

1017.88

MIDDLE SCHOOL

The total price for 4 movie tickets is $42.40. If each ticket cost the same amount, how much does one movie ticket cost?

Answer:

Hey there!

For this problem, you would simply take the total amount ($42.40) and divide it by the number of tickets purchased. This will give you the cost of one singles ticket.

Step-by-step explanation:

$42.40 / 4 = 10. 6

Answer : each ticket cost $10.60

HIGH SCHOOL

Working together 6 friends picked 14 2/5 lb of pecans at a pecan Farm. They divided the pecans equally among themselves. How many pounds does each friend get?

Each friend would receive 2 2/5 pounds of pecans.

14 2/5 divided by 6 = 2 2/5

14 2/5 divided by 6 = 2 2/5

MIDDLE SCHOOL

Identify as expression or equation 9=2x-4

9=2x-4

2x=9+4

2x=13

x=31:2

x=6,5

2x=9+4

2x=13

x=31:2

x=6,5