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
Answer:
d. 16x² + y² = 16
Step-by-step explanation:
Standard form of an ellipse is:
x² / a² + y² / b² = 1
If b > a, the ellipse has a vertical orientation.
We can ignore options b and c, since they have minus signs in them.
Convert the other options to standard form:
a. x² / (1/16) + y² / (1/25) = 1
x² / (1/4)² + y² / (1/5)² = 1
1/4 > 1/5
d. x² + y² / 16 = 1
x² / 1² + y² / 4² = 1
1 < 4
e. x² / 16 + y² = 1
x² / 4² + y² / 1² = 1
4 > 1
Of these three options, only d is a vertical ellipse.
Answer:
Step-by-step explanation:
Area of the Pond A= 
The increase in the area of the pond as it moves outward is: 
Since the area of the circle formed increases at the rate of 100 square feet per minute.
= 100 Square feet per minute
When the radius, r = 5 feet, we want to determine the rate at which the radius is changing, 
.
