Given:
There are two consecutive odd integers such that the square of the first added to 3 times the second, is 24.
To find:
Part a: Define the variables.
Part b: Set up an equations that can be solved to find the integers.
Part c: Find the integers.
Solution:
Part a:
Let x be the first odd integers. Then next consecutive odd integer is 
, because the difference between two consecutive odd integers is 2.
Part b:
Square of first odd integers = 
Three times of second odd integers = 
It is given that the sum of square of first odd integers and three times of second odd integers is 24. So, the required equation is:
Part c:
The equation is:
It can be written as:
Splitting the middle term, we get
-6 is not an odd integer, so 
and the first odd integer is 3.
Second odd integer =
= 
= 
Therefore, the two consecutive odd integers are 3 and 5.
The initial amount is the first number = 1500
Rate of growth is inside the parentheses and is added to 1, the rate of growth is 7.4%
Replace t with 5 and solve
1500(1.074) ^5 = $2143.45
Answer:
240 cm^2
Step-by-step explanation:
Comment
There are 2 ends that are in the shape of a triangle
There is 1 base that is rectangular
There are 2 roof tops that are rectangular in shape.
Find the area of the triangles, base, 2 roof parts.
Solution
<em>1 base</em>
w = 4 cm
L = 12 cm
Area = L*w
Area = 12*4
Area = 48 cm^2
<em>Two Triangles</em>
B = 4 cm
H = 6 cm
Area = 1/2 b * h
Area = 1/2 6 * 4
Area = 12 cm
But there are 2 triangles
Area 2 triangles 24 cm^2
<em>Two roof tops</em>
L = 12 cm
w = 7 cm
Area = L*w for one roof top
Area = 12*7 cm
Area = 84 cm^2
But there are 2 of them <u> 168 cm^</u>2
Total Area 240 cm^2
Answer:
10 19/10 meters
Step-by-step explanation:
Step one:
given data
let the amount of string used for the soccer field be x
and the amount used for coach spot be y
Also, let the total string used be represented as T
Step two:
Hence the expression for the total is
T= x+y
T= 9 1/2+ 2 2/5
T= 9.5+ 2.4
T= 11.9
or
T= 119/10 meters
or
T= 10 19/10 meters
