Answer:
Step-by-step explanation:
Total number of boxes of cookies that Kendal bought to bring to the party is x.
Each box contains 12 cookies. This means that total number of cookies in x boxes would be
12 × x = 12x
She decides to keep two boxes for herself. This means that the total number of cookies that she kept for herself would be
12 × 2 = 24 cookies
She brings 60 cookies to the party.
The equation that can be used to find the number of boxes, x, Kendal bought would be
12x = 24 + 60
12x = 84
x = 84/12 = 7 boxes
The value of 
is 
Step-by-step explanation:
To find the value of , let us find the value of each angle.
The value of 
The value of 
The value of 
The value of 
Substituting the values of sin, we get,
Multiplying the values of sin, we get,
Thus, the value of is
Answer:
The constraints are
and 
Step-by-step explanation:
Let
x ----> represent the number of male birds
y ----> represent the number of female birds
we know that
The flock needs to have exactly three times more females than males to thrive
so
----> equation A
The zoo only has room for a maximum of 20 male birds
so
----> inequality B
we know that
The maximum number of male birds is 20
For x=20
substitute in the equation A
so
The maximum number of female birds is 60
so
----> inequality C
therefore
The constraints are
and
Answer:
Step-by-step explanation:
<u>Given number:</u>
<u>Prime factors of 19683:</u>
- 19683 = 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 = 3^9
<u>Cube root:</u>
Hello! For this question, first, we have to find the area of the spherical container. The formula for finding the area of a sphere is 4/3πr³. We raise the radius to the 3rd power and multiply it by pi (3.14). The radius is 9 cm. 9³ is 729. There's that number. Now, we multiply 81 by 3.14 to get the total area of the square. 729 * 3.14 is 2,289.06. Now, multiply that by 4/3. 2,289.06/1 * 4/3 is 3,052.08. The volume of the sphere is 3,052.08 cubic centimeters. Which brings us to the next part. Now, we can find the price of the solution by multiplying the area by the price. 3,052.08 * 2.10 is 6,409.368 or 6,409.37 when rounded to the nearest cent. The total value of the solution in the container is $6,409.37.
