Answer:
They are both the same at 3/4 of an hour
Step-by-step explanation:
We have a system of equations here. The first one is for Friday:
3A + 5B = 6, which says that 3 people at the number of hours for plan A plus 5 people at the number of hours for plan B equals 6 hours total.
The second equation is for Saturday:
9A + 7B = 12, which says that 9 people at the number of hours for plan A plus 7 people at th number of hours for plan B equals 12 hours total.
We can solve this easily using the addition/elimination method. Begin by multipying the first equation through by a -3 to eliminate the A's. That gives you a new first equation of:
-9A - 15B = -18
9A + 7B = 12
You can see that the A's are eliminated, and adding what remains leaves us with
-8B = -6 so
B = 3/4 hour
Now we can sub that back in for B in either one of our original equations to solve for A. I changed the 3/4 to .75 for ease of multiplying:
9A + 7(.75) = 12 and
9A + 5.25 = 12 and
9A = 6.75 so
A = .75 which is also 3/4 of an hour
3+7=10
55/10=5.5
5.5 x 3=16.5
5.5 x 7=38.5
16.5 : 38.5
Answer:
Step-by-step explanation:
Given
Required
Determine the difference in the highest speed and the average speed
<em>Hence, the highest speed is 283.2 miles/hour faster than the average speed</em>
The volume of the cube is 54.87 but rounded to the nearest tenth is 54.9
The exact volume of the cylinder is 1770.28 but rounded is 1770.29 and the approximate volume of the cylinder is 1769.36
The volume of the cylinder in terms of π is 18,095.5736 square yards,
the volume of the cylinder by using π equals 3.14 is 18.086.4 square yards.
Step-by-step explanation:
Step 1; The volume of any cylinder is given by π times the product of the square of the radius (r²) and the height (h). The given cylinder has a radius of 12 yards and a height of 40 yards.
The volume of any cylinder = π × r² × h.
Step 2; The value of π equals 3.14159263588. So substituting this value in the equation to calculate the volume we get
The volume of the given cylinder = 3.14159263588 × 12² × 40 = 18,095.5736 square yards.
Step 3; If we substitute the value of π as 3.14 in the equation to calculate the volume, we get
The volume of the given cylinder = 3.14 × 12² × 40 = 18.086.4 square yards.
