Answer :
We start with the fact that one mile is equal to [tex]$5280$[/tex] feet. The distance given is [tex]$18$[/tex] miles and [tex]$1500$[/tex] feet. The steps to solve the problem are:
1. Convert the initial distance to feet:
Multiply the number of miles by the number of feet in one mile and then add the extra feet:
[tex]$$
\text{total initial feet} = 18 \times 5280 + 1500.
$$[/tex]
Calculating this gives:
[tex]$$
18 \times 5280 = 95040,
$$[/tex]
so,
[tex]$$
\text{total initial feet} = 95040 + 1500 = 96540 \text{ feet}.
$$[/tex]
2. Multiply the total distance by [tex]$12$[/tex]:
We now multiply the total number of feet by [tex]$12$[/tex]:
[tex]$$
\text{total final feet} = 96540 \times 12 = 1158480 \text{ feet}.
$$[/tex]
3. Convert the total feet back into miles and feet:
To find the number of whole miles in [tex]$1158480$[/tex] feet, divide by [tex]$5280$[/tex] (using integer division):
[tex]$$
\text{miles final} = \frac{1158480}{5280} \quad \text{(ignoring any remainder)}.
$$[/tex]
The division gives:
[tex]$$
1158480 \div 5280 = 219 \text{ miles}.
$$[/tex]
The remaining feet are given by the remainder of the division:
[tex]$$
\text{feet final} = 1158480 - (219 \times 5280) = 1158480 - 1156320 = 2160 \text{ feet}.
$$[/tex]
Thus, the final result after multiplying [tex]$18$[/tex] miles and [tex]$1500$[/tex] feet by [tex]$12$[/tex] is:
[tex]$$
\boxed{219 \text{ Miles } \quad 2160 \text{ Feet}}
$$[/tex]
1. Convert the initial distance to feet:
Multiply the number of miles by the number of feet in one mile and then add the extra feet:
[tex]$$
\text{total initial feet} = 18 \times 5280 + 1500.
$$[/tex]
Calculating this gives:
[tex]$$
18 \times 5280 = 95040,
$$[/tex]
so,
[tex]$$
\text{total initial feet} = 95040 + 1500 = 96540 \text{ feet}.
$$[/tex]
2. Multiply the total distance by [tex]$12$[/tex]:
We now multiply the total number of feet by [tex]$12$[/tex]:
[tex]$$
\text{total final feet} = 96540 \times 12 = 1158480 \text{ feet}.
$$[/tex]
3. Convert the total feet back into miles and feet:
To find the number of whole miles in [tex]$1158480$[/tex] feet, divide by [tex]$5280$[/tex] (using integer division):
[tex]$$
\text{miles final} = \frac{1158480}{5280} \quad \text{(ignoring any remainder)}.
$$[/tex]
The division gives:
[tex]$$
1158480 \div 5280 = 219 \text{ miles}.
$$[/tex]
The remaining feet are given by the remainder of the division:
[tex]$$
\text{feet final} = 1158480 - (219 \times 5280) = 1158480 - 1156320 = 2160 \text{ feet}.
$$[/tex]
Thus, the final result after multiplying [tex]$18$[/tex] miles and [tex]$1500$[/tex] feet by [tex]$12$[/tex] is:
[tex]$$
\boxed{219 \text{ Miles } \quad 2160 \text{ Feet}}
$$[/tex]
