Answer:
Percent Decrease = 20% Decrease
Step-by-step explanation:
To find percentage decrease, we will use a simple formula shown below:
Percentage Decrease/Increase = 
Where
New is the latest number of members (which is 24)
Old is the initial number of members (which is 30)
<em>Note: the multiplication by a factor of "100" brings the answer to a percentage</em>.
Now, lets substitute the numbers and figure out the percentage decrease:

So, it comes to -20, which is a decrease of 20%
Answer:
52 adults and 42 children attended the concert
Step-by-step explanation:
Given:
Total attendees=94 people
Adults tickets=$2.5
Children tickets=$1.75
Total receipts=$203.5
Let adults=a
Children=c
a+c=94 (1)
2.5a + 1.75c=203.5 (2)
From (1)
a+c=94
a=94-c
Substitute a=94-c into (2)
2.5a + 1.75c=203.5
2.5(94-c) + 1.75c=203.5
235-2.5c+1.75c=203.5
-0.75c=203.5-235
-0.75c=-31.5
Divide both sides by -0.75
-0.75c/-0.75=-31.5/-0.75
c=42
Substitute c=42 into (1)
a+c=94
a+42=94
a=94-42
=52
a=52
Therefore,
52 adults and 42 children attended the concert
Answer:
126 tiles
Step-by-step explanation:
The while tiles are 3/4 of a foot (or 9 inches) x 9 in, so their area is 81 sq in. There are 14 blue tiles, so 14 x 81 = 1134 sq inches that need to be covered.
Each tiles is 3 x 3, so its area is 9 sq in. 1134 / 9 = 126 tiles
Answer:
x^2 +y^2 -40x -24y -81 =0
Step-by-step explanation:
We can write the equation of a circle in the form
(x-h)^2 + (y-k)^2 = r^2
Where (h,k) is the center and r is the radius
Assuming that Pamela's cabin is the center
( x-20)^2 + (y- 12)^2 = 25^2
We want to get to general form
x^2 + y^2 + Dx + Ey + F = 0,
Distributing
x^2 -40x +400 + y^2 -24y +144 = 625
x^2 +y^2 -40x -24y +544 -625 =0
x^2 +y^2 -40x -24y -81 =0
Answer:
432m^3
Step-by-step explanation:
The computation of the volume of the larger pyramid is shown below:
Let us assume the volume of the larger pyramid be x
Given that
The ratio of two pyramids is 25:36
We can say that
The Ratio of side = (The ratio of surface area)^
= 
Now
ratio of volume = (ratio of side)^3 =
= 125 : 216
Based on the above information, the calculation is as follows

So,

= 432m^3