Answer:
256 cups
Step-by-step explanation:
In this question, we are asked to calculate the number of 8-ounce cups that each of the cooler of water will fill.
This is obviously a conversion type of question. We proceed as follows;
She buys 80 gallons to distribute in 5 coolers, this means each cooler will contain 80/5 = 16 gallons each of water.
Now let’s get the equivalent of this in ounce.
Mathematically, 1 gallon contains 128 ounces.
Since one cooler contains 16 gallons, this means each cooler will contain 16 * 128 = 2,048 ounces of water
Now, we know each cooler of water is to fill a series of 8- ounce cups. We now need to calculate the number of 8-ounce cups that will be filled by the 2,048 ounces cooler.
Mathematically, this is 2,048/8 = 256 cups
Answer:
(-1, 5), (0, 1), (1, -3)
Step-by-step explanation:
y = -4x + 1
Let x = -1:
y = -4(-1) + 1 = 4 + 1 = 5
(-1, 5)
Let x = 0:
y = -4(0) + 1 = 0 + 1 = 1
(0, 1)
Let x = 1:
y = -4(1) + 1 = -4 + 1 = -3
(1, -3)
Answer:
1.81 inch by 8.38 inch by 6.38 inch
Smallest Value=1.81 inch
Largest Value=8.38 inch
Step-by-step explanation:
The cardboard is 12 in. long and 10 in. wide
Let the length of the square cut off=x
Length of the box=12-2x
Width of the box=10-2x
Height of the box=x
Volume of the box=lwh
V=x(12-2x)(10-2x)
The dimensions of the box that will yield maximum volume occurs at the point where the derivative of V=0.
Thus:
4(30-22x+3x²)=0
Since 4≠0
3x²-22x+30=0
Solving for x using a calculator gives:
x=1.81 or x=5.52
x cannot be 5.52 inch since the width is 10 inch and removing 2(5.52) from the width gives a negative result.
When x=1.81 inch
Length of the box=12-2x=12-2(1.81)=8.38inch
Width of the box=10-2x=10-2(1.81)=6.38 inch
Therefore, the dimensions at which the Volume is maximum are: 1.81 inch by 8.38 inch by 6.38 inch
If you have a calculator with log and expo function capabilities, type in:
log 16.7 ENTER
and the calculator will return 1.2227. Try it.