Two boats leave the same dock in Cairo, IL at the same time. One heads north on the Mississippi River while the other heads sout
h. The northbound boat travels 4 miles per hour. The southbound boat goes 8 miles per hour. How long will it take them to be 54 miles apart?
1 answer:
Answer:
4.5 hours
Step-by-step explanation:
To answer this, we shall be using a diagrammatic representation.
Now, let the time taken for them to be 54 miles apart be x hours
Mathematically, distance = speed * time
For the north bound boat, it would be 4 * x miles away = 4x miles away from the starting point
For the south bound boat, it would have travelled a distance of 8 * x = 8x miles
Now the distance between both is 54 miles ; this means that by adding the distance traveled by both, we shall have a total length of 54 ;
Thus mathematically;
4x + 8x = 54
12x = 54
x = 54/12 = 4.5 hours
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Step-by-step explanation:
<h3> The complete exercise is: "Omar works as a tutor for $15 an hour and as a waiter for $7 an hour. This month, he worked a combined total of 83 hours at his two jobs. Let "t" be the number of hours Omar worked as a tutor this month. Write an expression for the combined total dollar amount he earned this month."</h3><h3 />Let be "t" the number of hours Omar worked as a tutor this month and "w" the number of hours Omar worked as a waiter this month.
Based on the data given in the exercise, you know that Omar worked a combined total of 83 hours this month.
Then, you can represent the number of hours he worked as a waiter this month with this equation:
Since he earns $15 per hour working has a tutor and $7 per hour working as a waiter, you can write the following expresion to represent the total money earned:
Since , you can substitute it into the expression and then simplify it in order to find the final expression that represents the total amount of money Omar earned this month.
This is:
<h2>Explanation:</h2><h2></h2>
A circle is simply a curve made up of all the points that are the same distance from the center. This distance is called the radius of the circle. It's important to know that <em>all circles are similar to each other</em>, but what is similarity? It's simply, shapes are similar if we can turn one into the other by moving, rotating, flipping, or scaling. So every circle can match any other circle by moving it, rotating it, flipping it, or scaling it.
Then circles O and Q shown below are similar no matter what's the radii of them.