You have been asked to order 50 balloons filled with helium for the party. The balloons are shaped like spheres, and the balloon company charges $1 per balloon plus $0.75 per cubic foot of helium. They offer balloons in the following sizes: Small : .8 foot diameter Medium: 1 foot diameter Large: 1.2 foot diameter Extra Large: 1.5 foot diameter
What is the Volume of 1 balloon (rounded to nearest hundredth) for the Small, Medium, Large, and Extra Large balloons?
What is the cost of 1 balloon for the Small, Medium, Large, and Extra Large ballons?
Must show formulas and work

answer: solve 5\cdot 2^x=2405⋅2  

x

=2405, dot, 2, start superscript, x, end superscript, equals, 240.

solution

to solve for xxx, we must first isolate the exponential part. to do this, divide both sides by 555 as shown below. we do not multiply the 555 and the 222 as this goes against the order of operations!

\begin{aligned} 5\cdot 2^x& =240 2^x& =48 \\ \end{aligned}  

5⋅2  

x

2  

x

​    

=240

=48

​

step-by-step explanation:

ok so what's the question?

step-by-step explanation:

2.14x - 12.18 = -5.76

add 12.18 to each side

2.14x -12.18 +12.18 = -5.76 +12.18

2.14 x =6.42

divide by 2.14

2.14x/2.14 = 6.42/2.14

x=3