The Average speed of the vehicle to the nearest tenth is:
65.4 miles per hour.
<h2>Step-by-step explanation:</h2>It is given that the total distance covered by the vehicle is: 360 miles.
Also, total time taken by vehicle is: 5.5 hours.
Now we are asked to find the average speed of the vehicle.
We Know that average speed is the ratio of total distance traveled to total time taken.
i.e.
i.e.
Hence, Average speed is: 65.4 miles per hour.
Answer:
90 g of water should be added and he will make 900 g of solution.
Step-by-step explanation:
Let x g be the amount of salt Ilya add to 810g of water to make 10% solution. Then 810+x g is the amount of new solution. Thus,
810+x - 100%,
x - 10%.
Mathematically,
So 90 g of water should be added and he will make 810+90=900 g of solution.
Answer:
steps 4 and 5
Step-by-step explanation:
When we look at example, we can see that we have :
-6r=57
So we divide by -6 and we got
So, our final answer is steps 4 and 5
Answer:
<em>1680 is the answer.</em>
Step-by-step explanation:
Here, we have 11 letters in the word <em>MISSISSIPPI.</em>
Repetition of letters:
M - 1 time
I - 4 times
S - 4 times
P - 2 times
As per question statement, we need a substring MISS in the resultant strings.
So, we need to treat MISS as one unit so that <em>MISS always comes together in all the strings</em>.
The resultant strings will look like:
<em>xxxxMISSxxx</em>
<em>xxMISSxxxxx</em>
<em>and so on.</em>
After we treat <em>MISS </em>as one unit, total letters = 8
Repetition of letters:
MISS - 1 time
I - 3 times
S - 2 times
P - 2 times
The formula for combination of letters with total of <em>n </em>letters:
where <em>p, q</em> and <em>r</em> are the number of times other letters are getting repeated.
<em>p = 3</em>
<em>q = 2</em>
<em>r = 2</em>
<em></em>
So, required number of strings that contain MISS as substring:
So, <em>1680 is the answer.</em>