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.
Answer:
1/14:5/7:3/14
Step-by-step explanation:
Since orange=15
Apple=5
Coconut milk=50
50+15+5
70
So
Orange=15/70
Divide both by 5
=3/14
Apple=5/70
Divide both by 5
=1/14
Coconut milk=50/70
Divide both by 10
=5/7
So the ratio of apple to coconut to orange
1/14:5/7:3/14
Answer:
x = 6 cm
Step-by-step explanation:
The area is the product of length (x +2) and width (2x -5). It is 56 cm², so for all dimensions in cm, we can write ...
(x +2)(2x -5) = 56
2x² -x -66 = 0 . . . . . subtract 56 to put into standard form
(x -6)(2x +11) = 0 . . . . factor
Solutions to the equation are values of x that make the factors zero:
x = 6, x = -11/2
The negative solution is extraneous, so the solution of interest is ...
x = 6 cm
Answer:
6
Step-by-step explanation:
5y + 2 +2y + 3 = 12 - 15
7y + 5 = 12y - 15
7y + 20 = 12y
20 = 5
6
Hello, there!
<span>This is already simplified as there are no like terms that can be combined. x^3 is different than x^2, so it can't be combined.
x^3 is different from y^2 so it can't be combined.
And finally, x^2 is different from y^2, so it can't be combined either.
</span>
I hope I helped!
Let me know if you need anything else!
~ Zoe
