Brick = 3.5 in by 7.5 in and costs $0.59
Paver = 8.4 in by 8.4 in and costs $1.88
The small patio's area = 3430 square inches
The Area of 1 Brick = 26.25 square inches
The Area of 1 Paver = 70.56 square inches
The # of Bricks to complete the Patio will be:
Patio's Area / the Area of 1 Brick = # of Bricks to complete the patio
3430 square inches / 26.25 square inches = 130.67 = 131
Then, multiply the # of Bricks to complete the patio by the amount that 1 brick costs:
131 * $0.59 = $77.29
It will take $77.29 to complete the Patio with bricks.
The # of Pavers to complete the Patio:
Patio's Area / the Area of 1 Paver = # of Pavers to complete the Patio
3430 square inches / 70.56 square inches = 48.6 = 49
Then, multiply the # of Pavers to complete the patio by the amount that 1 Paver costs:
49 * $1.88 = $92.12
Cost of Bricks to complete Patio = $77.29
Cost of Pavers to complete Patio = $92.12
To conclude, Bricks would cost less by $14.83.
If
is a divisor of 12, then

If 3 is a factor (i.e. divisor) of
, then
can only be one of the elements of this set that are multiples of 3, so

But
is positive, so there are 3 possible values
can have.
Answer:

Step-by-step explanation:
Let y be the amount of water in the bottle x seconds after the faucet was turned on.
We have been given that the gauge on the bottle indicates that it contains 19 ounces of water after it has been filling for 5 seconds. After it has been filling for 11 seconds, the gauge indicates the bottle contains 37 ounces of water.
We have two points on the line
and
.
Let us find slope of the line passing through these points.




We will write our required equation in slope-intercept form
, where, m represents slope and b represents the y-intercept.
Let us find y-intercept by substituting
and coordinates of point
in slope intercept form.




Therefore, our required equation would be
.
Answer:
706.5 ft²
Step-by-step explanation:
A. Width of the rectangle
The formula for the area of a rectangle is
A = lw
But, l = 3w, so,
A = (3w)w
= 3w² = 12
w² = 4 Divided each side by 3
w = 2 ft Took the square root of each side
B. Length of rectangle
l = 3w = 6 ft
C. Diameter of circle
d = 5l = 5 × 6 = 30 ft
D. Radius of circle
d = 2r
r = d/2 Divided each side by 2
r = 30/2 = 15 ft
E. Area of circle
A = πr² = 3.14 × 15² = 3.14 × 225 = 706.5 ft²
The area of the circle is 706.5 ft².