How Do You Solve The Problem

How do I solve this problem?

Well it depends if you can get the same dessert as a combo.

In that case, you can choose any of the 8 and then you can choose any of the 8 again. Therefore 8*8 = 64 combinations.

If you are not allowed to choose the same dessert, then it would be 8 possibilities for your first choice, and 7 for your second choice. Therefore 8*7 = 56 combinations

How do i solve this problem?

I solved this with a simple 2 equation system. You know the distance and the rate, you need the time. Rate is 500 km/h plus the wind speed, x, then 500 km/h minus x.
780km=(500k/h+x)t
720km=(500k/h-x)t

780=500t+xt
720=500t-xt

1500=1000t
t=1.5 hours

now we have time = 1.5 hours, plug it into D=rt

780=1.5r
r=520km/h

720=1.5r
r=480km/h

520-480=40, the difference in rates going back and forth, so the windspeed must be 20 km/h.

This seems to work out, of course, I could be wrong....

How do i solve this problem?

For isosceles triangle; the two legs are equal; so
Perimeter of Isosceles = 2 Leg + Base

Let L = Length of each leg
then 2L + 85 = 345 cm.
==> 2L = 345 - 85 cm.
==> 2L = 260 cm.
==> L = 260/2 cm.
==> L = 130 cm.

Answer: The length of each leg is 130 cm.

How do i solve this problem?

PART 1:

The wheel is 15 inches.

The circumference is:
2πr
= 2 π (15)
= 30 π
≈ 94.25 inches

But it makes 3 revolutions in a second, so that is:
3 x 94.25 ≈ 282.75 inches / second.

PART 2:

Now to express that in miles per hour.

If you go 282.75 inches in a second, you will go 60 times that in a minute, or 3600 times that in an hour.

282.75 x 60 x 60 = 1,017,876 inches / hour

But we want this in miles:

5280 feet x 12 inches/ft = 63,360 inches in a mile.

Now just divide:
1,017,876 / 63,360 ≈ 16.064 mph

How do I solve this problem?

Distance = Rate X Time

There are two parts of the equation. One is going there and the second is coming back. However, the distance of each is the same, so set them equa to each other to solve once you identify the Rate and Time for each.

It is important to recognize that since the total time is 4.5 hours, it must be represented as two separate parts T and 4.5 - T.

Here is the equation to be used (remember D = RT and both D's are equal so, RT = RT):
5(4.5 - T) = 40T
22.5 - 5T = 40T
22.5 = 45T
1/2 = T

Since the distance is 40T (or you can use 5(4.5 - T)), substitute 1/2 for T and you will get 40 times 1/2 which equals 20.

The answer is 20 km.

How do i solve this problem?

Forget the Billion for a minute
15.4 l has 1.9 x10^-5 M H2SO4 (RFM = 98) has 29.3 x 10^-5 mol
15.4 l has 8.7 x 10^-6 HNO3 (RFM = 63) has 13.4 x 10^- 5 mol
Total number of H3O+ = 29.3 x2 + 13.4 = 72 x 10 ^-5 mol
assuming Limestone is 100% CaCO3
CO3= + 2H3O+ ===> CO2 + 2H2O
So 36 x 10^-5 mo, CaCO3 required = 100 x 36x10^-5 g
= 0.036g
Now scale up to lake size 1 billion kg has 1 x 10^12 g
times by 0.036g = 36 million kg is your answer
36 000 metric tons or 1000 v large trucks

How do i solve this problem?

Calculate the mechanical advantage of a group of pulleys used to raise an engine from a car. The engine is raised 1.2m with the pulleys when 4.8m of rope is pulled through the pulleys.

How do i solve this problem?

A stone is tied to a string (length = 0.600 m) and whirled in a circle at the same constant speed in two different ways. First, the circle is horizontal and the string is nearly parallel to the ground. Next, the circle is vertical. In the vertical case the maximum tension in the string is 14.0% larger than the tension that exists when the circle is horizontal. Determine the speed of the stone.