First, we need to understand the speed formula:
The time used = distance ÷ rate
In this case, the time needed would be:
5 1/5 ÷ 2 1/6
= (5×5+1)/5 ÷ (2×6+1)/6
=26/5 ÷ 13/6
When there is division in an equaiton, we can swap the nominator and denominator of the fraction amd change it to multiplication:
=26/5 × 6/13
= (13 x 2)/5 x 6/(13 x 1)
Factorize 26 and 13,we get:
=2/5 x 6/1
= 12/5 ft or 2.4 ft
Therefore the answer is 12/5ft or 2.4ft.
Hope it helps!
If the distance is 45 miles and speed of both cyclist is 14 and 16 miles per hour then they will take time of 1.5 hour to meet.
Given First cyclist is riding at 14 miles per hour and second at 16 miles per hour. The distance is 45 miles.
We know that speed is the distance covered by an object in a particular period of time.
Speed=distance/time.
It is expressed as kilometers per hour or miles per hour, etc.
If both riders are riding towards each other then the speed will be 16+14 =30 miles per hour.
Distance=45 miles.
Time =distance/speed
=45/30
=1.5
Hence if first cyclist is riding at 14 miles per hour and second is riding at 14 miles per hour and the distance is 45 miles then they will meet after 1.5 hours.
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Answer:
The larger number is 69 and the smaller number is 35.
Step-by-step explanation:
Find the equations. Here x will be the larger number and y will be the smaller number.
x + y = 104
x = 2y -1
Substitute:
(2y -1) + y = 104
3y = 105
y = 35
x = 2(35) - 1
x = 70 - 1
x = 69
The larger number is 69 and the smaller number is 35.
Using variable concepts, of dependent and independent variables, it is found that the dependent variable is the amount of sales dollars earned.
<h3>What is the relation between a function and the dependent and independent variables?</h3>
- A function has the following format: y = f(x).
- In which each value of y is a function of one value of x, and thus, <u>x is the independent variable and y is the dependent variable</u>.
- That is, the input of the function is the independent variable and the output is the dependent variable.
In this problem, the manager believes that the amount of sales dollars earned is a function of the number of contacts that the salesperson makes, hence:
- The number of contacts is the independent variable.
- The amount of sales dollars earned is the dependent variable.
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