Volume of sphere = 4/3 x pi x r^3
Volume of large sphere:
4/3 x 3.14 x 14^3 = 11488.21 cubic cm
Volume of smaller sphere:
4/3 x 3.14 x 2^3 = 33.49 cubic cm
Number of small spheres = volume of large sphere/ volume of small sphere
11488.21 / 33.49 = 343.03
Round to 343 small spheres
Answer:
A
Step-by-step explanation:
Solving for x:
-3x + 8 ≥ 14
-3x ≥ 6
x ≤ -2
Notice the sign gets reversed when you divide or multiply by a negative number.
The only option less than -2 is -3, A.
Here's a tip: on multiple choice questions, sometimes it's faster to try each answer instead of solving the equation. This can save time on tests like the SAT or ACT.
Let's try it:
-3(-3) + 8 = 9 + 8 = 17
-3(-1) + 8 = 3 + 8 = 11
-3(0) + 8 = 0 + 8 = 8
-3(3) + 8 = -9 + 8 = -1
So you can see the answer is A.
Unit cost of a ticket = Income from ticket sales / number of tickets sold:
$1250
--------------- = $6.58 per ticket
190 tickets
Again:
$1175
--------------- = $6.71
175 tickets
While ticket prices do change (usually increase) from year to year, it's unusual to see such a situation here.
Don't have any guidelines by which to determine the "fixed cost of a ticket".
If we use the cost of a ticket of 2 years ago ($6.58/ticket), then the income from the sale of 225 tickets this year would be ($6.58/ticket)(225 tickets), or $1480.50.
