Answer:
I took them a total of 5 hours
Step-by-step explanation:
First you multiply 65 by 2 because of the first two hours
Then you subtract 130 out of 364 to get 234, those were the first two hours
The next hours you simply divide 234/78, which is 3
3 + 2 = 5 hours
1. The formula expressing the dependence of the variable s on t is: s = 60 - 12t
2. the distance travelled at time t = 3.5 h is 18 Km
<h3>What is speed? </h3>
Speed is the distance travelled per unit. Mathematically, it can be expressed as:
Speed = distance / time
<h3>1. How to determine the formula expressing the dependence of the variable s on t</h3>
From the question given, bicyclist traveled with a speed of 12 km/h from a camping ground to a station, located 60 km.
Thus, we shall determine the distance travel in time t as follow
- Speed = 12 Km/h
- Time = t
- Distance in time t = ?
Speed = distance / time
12 = distance / t
Cross multiply
Distance = 12 × t
Distance in time t = 12t
But the total distance travelled is 60 Km. Thus, the remaining distance (s) from the bicyclist to the station at time (t) will be given as:
s = 60 - 12t
Thus, the formula expressing the dependence of the variable s on t is: s = 60 - 12t
<h3>2. How to determine the distance at t = 3.5 hours</h3>
The distance at t = 3.5 hours can be obtained as illustrated below:
- Time (t) = 3.5 hours
- Distance (s) = ?
s = 60 - 12t
s = 60 - (12 × 3.5)
s = 60 - 42
s = 18 Km
Thus, the distance travelled at t = 3.5 hours is 18 km
Learn more about speed:
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Answer:
The support is 41 inches long.
Step-by-step explanation:
There's two ways we can do this: one with the diagonal formula and one without.
Since we know that Point C is halfway down leg A and that the table legs are 18 inches tall, Point C is 9 inches down leg A. The support, from Point C to Point D, will form a diagonal, the length of which we need to find. We know from the diagram that the width of the table is 24 inches and that its length is 32 inches. We have a height, length, and width for this problem, so let's imagine a rectangular prism, which has all three of those things, instead of a table. The formula for finding a rectangular prism's diagonal is
. Let's put in those numbers:

Therefore, the support is 41 inches long.
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Another way you can do this is to use the Pythagorean Theorem twice: once to find the diagonal of the tabletop and another time for the support.

Now that we know the corner-to-corner distance for the tabletop, we'll use that and the 9 inch distance for Point C to find the distance between C and D:

Again, the support is 41 inches long.
You can easily test this if you know that (6, -10) corresponds to (X, Y). Knowing this, you can:
X = 6
Y = -10
you put this into your equation:
-10 = 3*6 - 8
calculate it:
-10 = 18 - 8
-10 = 10
This is not true of course, -10 is not equal to 10. Therefore, (6, -10) is not a solution of y = 3x-8 :)
So that is what we call a ratio and it looks like this