30 gallons * 5 = 150 gallons
3 quarts * 5 = 15 quarts
1 pint * 5 = 5 pints
Four quarts in a gallon: 15/4 = 3 gallons, 2 quarts
2 pints in a quart: 5/2 = 2 quarts, 1 pint
2 quarts + 2 quarts = 1 gallon
150 + 3 + 1 gallons + 1 pint = 153 gallons, 1 pint.
Answer:
The length of the fence needed to surround this garden is 188 meters.
Step-by-step explanation:
Given : A fence is guarding off a vegetable garden in the form of a rectangle. It has one side that is 10 m greater than the other side.
To find : The length of the fence needed to surround this garden if the area of the vegetable garden is 2184 m² ?
Solution :
Let the one side of rectangle be 'x'.
Then the other side is 'x+10'.
The area of the rectangle is 2184 m²,
i.e. 
Solve by middle term split,
Reject negative value,
The side of the rectangle is 42 m.
The other side is 42+10=52 m
The perimeter of the rectangle is 
Therefore, the length of the fence needed to surround this garden is 188 meter.
$4 / 8 = 50 cents per pen
.5 * 5 = 2.50
.5 * 3 = 1.50
Ivan pays $2.50 and Jeff pays $1.50
Answer:
See below in bold.
Step-by-step explanation:
This is the vertex form of a parabola which opens upwards.
To find the x intercept put h(x) = 0:
(x + 1)^2 - 4 = 0
(x + 1)^2 = 4
x + 1 = +/- 2
x = (-3, 0) an (1, 0) are the x-intercepts.
For the y-intercept we put x = 0
y = (0+1)^2 - 4 = -3
y-intercept = (0, -3).
The vertex is (-1, -4).
Axis of symmetry is x = -1.
The given function is:
P = 0.04x + 0.05y + 0.06(16-x-y)
To get the function at each vertex, all you have to do is substitute with the given x and y values in the above equation and get the corresponding value of P as follows:
1- For (8,1):
P = 0.04x + 0.05y + 0.06(16-x-y)
P = 0.04(8) + 0.05(1) + 0.06(16-8-1)
P = 0.79
2- For (14,1):
P = 0.04x + 0.05y + 0.06(16-x-y)
P = 0.04(14) + 0.05(1) + 0.06(16-14-1)
P = 0.67
3- For (3,6):
P = 0.04x + 0.05y + 0.06(16-x-y)
P = 0.04(3) + 0.05(6) + 0.06(16-3-6)
P = 0.84
4- For (5,10):
P = 0.04x + 0.05y + 0.06(16-x-y)
P = 0.04(5) + 0.05(10) + 0.06(16-5-10)
P = 0.76
Hope this helps :)
