Answer:
<h2>The required ratio is 8</h2>
Step-by-step explanation:
Volume of a sphere = 
where r is the radius of the sphere.
If manuel bought a balloon (that is a perfect sphere) with a radius of 2cm, the original volume of the sphere is expressed as;
Vo = 
If he wanted his balloon to be bigger and he blew 2 big breaths of air into the balloon, if each big breath increased the balloon's radius by 1cm, the total radius will be the initial radius of the sphere plus the new radius after expansion.
radius of current sphere = 2cm+(1cm+1cm) = 4cm
Volume of the current sphere Vc = 
The ratio of the current volume of the balloon Vc to the original volume of the balloon Vo will be expressed as;
Vc/Vo = 
The required ratio is 8
The set of integers that satisfy the inequality is x ∈ (-∞, 30) where x is an integer.
<h3>What is inequality?</h3>
It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
The question is incomplete.
The complete question is:
Set of integers x such that x - 5 is less than 25.
We have an inequality:
x - 5 < 25
Adding 5 both sides:
x - 5 + 5 < 25 + 5
x < 30
x ∈ (-∞, 30) where x is an integer.
Thus, the set of integers that satisfy the inequality is x ∈ (-∞, 30) where x is an integer.
Learn more about the inequality here:
brainly.com/question/19491153
#SPJ1
For this case we can make the following rule of three:
1/10 scarf ------> 4/5 hour
x ------------------> 1 hour
Clearing the value of x we have:
x = (1 / (4/5)) * (1/10)
Rewriting we have:
x = (5/4) * (1/10)
x = 5/40
x = 1/8
Answer:
A fraction of a scarf that alison can knit in 1 hour is:
x = 1/8
The answer is 9 by the way. Draw a circle with sixty slices, shade in 15% or 9 slices.
