For this case we have the following equation:

We must create equivalent expressions in the equation, so that they have equal bases:

If the bases are the same, then the two expressions are only equal if the exponents are equal:

Answer:

Option D
Answer:
For Skyhigh : 40 friends
For Jump it up : 90 friends
Step-by-step explanation:
Given that :
Maximum spending = $250
SKY HIGH FEES :
Party set up fee = $50 ; Amount paid per person = $2
JUMP IT UP FEES :
Party set up fee = $70 ; Amount paid per person = $2
THEREFORE, the inequality statement to obtain the number of friends for eack trampoline center goes thus:
Party setup fee + Number of persons * fee per person ≤ maximum spending
SKY HIGH:
50 + 5x ≤ 250
5x ≤ 250 - 50
5x ≤ 200
x ≤ 200/5
x ≤ 40
Hence,
Skyhigh can accommodate 90 friends Given the conditions
JUMP IT UP:
70 + 2x ≤ 250
2x ≤ 250 - 70
2x ≤ 180
x ≤ 180/2
x ≤ 90
Jump it up can accommodate up to 90 friends Given the conditions.
The patient weighs about 268 pounds after the 4 week diet.
Answer:
33.5 cubic inches.
Step-by-step explanation:
If the softball fits perfectly inside the cubical box, the softball is a sphere with diameter of 4 inches (radius os 2 inches).
The volume of a sphere is given by:

For r = 2 inches:

The volume of the softball is 33.5 cubic inches.