Answer:
0.43 miles
Step-by-step explanation:
Let t be the time it takes Achilles to run the race. Since Achilles runs at a speed of 13 mph, the distance he covers in time t is d = 13t.
Also, by the time Achilles finishes the race, the turtle has already covered a distance, d at a speed of 1 mph in the same time, t. So, d' = 1t = t
Given that when Achilles reaches the finish line, the turtle is 2/5 of a mile behind him, then d - d' = 2/5.
So, 13t - t = 2/5
12t = 2/5
t = 2/5 × 1/12
t = 1/5 × 1/6
t = 1/30 h
So since d = distance from start to finish = distance Achilles covers = 13t,
Substituting t = 1/30 into d, we have
d = 13t
= 13 × 1/30
= 0.43 miles
X=5
Y=1
2x+4(2x-11)=6
+44 both sides
2x+8x=50
10x=50
Divide by 10 both sides
X=5
Plug in 5 to x and you will find y
Hello thee i hope you are having good day :) Your Question: 15-foot piece of string is cut into two pieces so that the longer piece is 3 feet longer than twice the shorter piece. If the shorter piece is x feet long, find the lengths of both pieces.
so firstly you would do L = 3 + 2x S = x X + (3 + 2x) = 15 X + 3 + 2x = 15
3x + 3 = 15 then you would take away that 3x = 15 - 3 this would equal 12 so x = 4 and then add it 3+ 2x = 3+2 (4) = 3 + 8 = 11 Short piece is 4 feet Long piece is 11 feet.
Hopefully that helps you ❤
Answer:
Step-by-step explanation:
Given
Solving (a): (f + g)(x)
In functions:
So, we have:
Solving (b): The domain of f(x)
For (f + g)(x) to be defines, the value of x must be greater than or equal to 0.
Hence, the domain is:
Answer:
<em>30</em>
Step-by-step explanation:
Given that
Logan shelves 5 books and
Nathan shelves 6 books
They end shelving the same number of books.
To find:
Smallest number of books each could have shelved?
Solution:
First of all, let us have a look at the definition of <em>Least Common Multiple(LCM)</em> of two numbers.
Least Common Multiple (LCM) of two numbers is the minimum number which is divisible by both the numbers.
Now, looking at the statement of the given question.
We have to find the LCM of both the numbers actually.
Making factors of the numbers:
Nothing is common here, therefore the LCM is .
Smallest number of books shelved = <em>30</em>