Answer:
the answer can be found in cases like this , the answer is 20
Answer:
When increasing the radius 3 times the volume increases 9 times and when it is reduced to a third the volume decreases 9 times
Step-by-step explanation:
We have that the formula for the volume of a cone is:
Vc = pi * (r ^ 2) * h
We first calculate the original volume, where the radius is 2 and the height is 9, replacing:
Vc = 3.14 * (2 ^ 2) * 9
Vc = 113.04
Now if the radius is tripled it would be: 2 * 3 = 6, the radius would be 6, replacing:
Vc = 3.14 * (6 ^ 2) * 9
Vc = 1017.36
If we compare:
1017.36 / 113.04 = 9
This means that when the radius is tripled, the volume increases 9 times.
When if re reduces to a third the radius would be: 2/3, replacing:
Vc = 3.14 * ((2/3) ^ 2) * 9
Vc = 12.56
113.04 / 12.56 = 9
Which means that by reducing it to a third the volume becomes 9 times smaller.
X = 29 and y = 101.
To find this, you need to set up an equation.
6x - 95 = 79. Once you solve this, x would equal 29.
Since 6x - 95 and y are on a straight line, they would have to equal 180. So you make another equation except you plug in 29 for x this time.
6(29) - 95 + y = 180. Once you solve this, y would equal 101.
Answer:
5 people
Step-by-step explanation:
For each people Ms Hernandez bring to the zoo, she will pay $15.50, so if she go alone, 1×15.50, if she go with one person, 2×15.50, with three 3×15.50, and keep growing this way. The price each person pay is constant and equal to 15.50, and what will determine the final price is the number of people. Also remember that she always will have to pay $ 10 on parking, so you can write an equation with this:
15.50x +10 = y, as x being the number of people and y being the final price.
She have $100, so this is the max she can spend. Two know the number of people she can bring to the zoo, put 100 in place of y and find the value of x:
15.50x + 10 = 100
15.50x = 100 - 10
15.50x = 90
x = 90/15.50
x = 5.8
But there's no way to bring 0.8 person, so the max she can bring are 5 people, including her
<h2>Solution :- </h2>
Let the number be "x" , then according to the question :
• 2x - 12 = -8
Further solving
→ 2x = -8 + 12
→ 2x = 4 .
→ x = 2
