8 C 3 = 8! / (3!(8 - 3)!) = 8! / (3! * 5!) = (8 * 7 * 6 * 5!) / (3! * 5!) = (8 * 7 * 6) / (6) = 56
<span>56 choices. </span>
Answer: 985 g
Step-by-step explanation:
Total mass = 8 × 500g = 4000g
Let the three new packs be X, Y, and Z, for first, second, and third pack respectively.
4000g = X + Y + Z
let's put X and Z in terms of Y, since we're trying to solve for the second pack.
X = 2Y, and Z = Y + 60
Therefore,
4000 = X + Y + Z
4000 = 2Y + Y +Y + 60
4000 = 4Y +60
4000 - 60 = 4Y
3940 = 4Y
3940 ÷ 4 = Y
985g = Y = mass of the second pack
Answer:
<h2>
5,936.76 feet/day</h2>
Step-by-step explanation:
Formula to use to get the speed is expressed as speed = Distance/Time
Given parameters
Distance = 94km
Time = 7.5weeks
Since we are to express the answer in feet per day, we will convert the distance to feet and time to days.
For the distance:
Given the conversion
1 km = 3280.84 feet
95km = (95*3280.84)feet
95km = 311,679.8 feet
For the time:
If 1 week = 7 days
7.5weeks = (7.5 * 7)
7.5weeks = 52.5 days
Speed In ft/day = 311,679.8 feet/ 52.5 days
Speed in ft/day = 5,936.76 feet/day
<em>Hence the speed in feet per day is 5,936.76 feet/day</em>
The area of a parallelogram is simply calculated using
the formula:
A = b * h
Where,
b = length of the base = 45 ft
h = height which is perpendicular to the base = 21 ft
Using the formula, we calculate the total area of the yard.
A = b* h
A = 45 ft * 21 ft
A = 945 ft^2
Now we don’t want to sod the Garden area for the most
obvious reason. The garden has an Area of 105 ft^2, we subtract this to the
total area giving us,
Area to sod = 945 ft^2 – 105ft^2
<span>Area
to sod = 840 ft^2</span>