Miguel and his brother Ario are both standing 3 meters from one side of a 25-meter pool when they decide to race. Miguel offers
1 answer:
Answer:
Miguel start to swim when Ario has traveled 4.4 m.
Step-by-step explanation:
The total lenght of the pool is 25.
Since both of them standing 3 m from one side of the pool, then, the total distance both need to cover is m= 22 m.
Assume that the distance traveled by Ario before Miguel start to swin is . That means, the remaining distance to Ario (to cover the total size of the pool) is
.
Then, in acoordance to the problem, the ratio between these two distances must be equal to 1/4.
That is,
.
So, we need to obtain from this equation. We must note that
, otherwise we have a zero in the denominator.
So, we rearrange the equation,
(Multiplying both sides of equation by (
).
Then, .
Therefore, m.
You might be interested in
Answer:
Step-by-step explanation:
We'll just work on solving both so you can see what's involved in solving an absolute value equation. Because an absolute value is a distance, we can have that distance being both to the right on the number line of the number in question or to the left. For example, from 2 on the number line, the numbers that are 5 units away are 7 and -3. Using that logic, we will simplify the equation down so we can set up the 2 basic equations needed to solve for x.
If then
What you need to remember here is that you cannot distribute into a set of absolute values like you would a set of parenthesis. The -2 needs to be divided away:
Now we can set up the 2 main equations for this which are
.5x + 1.5 = .5 and .5x + 1.5 = -.5
Knowing that an absolute value will never equal a negative number (because absolute values are distances and distances will NEVER be negative), once we remove the absolute value signs we can in fact state that the expression on the left can be equal to a negative number on the right, like in the second equation above.
Solving the first one:
.5x = -1 so
x = -2
Solving the second one:
.5x = -2 so
x = -4
Let the total cost of the item be represented by C and the price be represented by P, then given that t<span>he total cost of an item including sales tax is directly proportional to its price, thus</span>
where k is a constant.
Given that <span>the total cost of a $32 item is $33.60, thus
Therefore, the total cost on a $55 item is given by
</span>
where k is a constant.
Given that <span>the total cost of a $32 item is $33.60, thus
Therefore, the total cost on a $55 item is given by
Answer:
The probability is 3/5
Step-by-step explanation:
Given,
Sample space, S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10},
⇒ n(S) = 10,
Odd numbers less than 7 = 1, 2, 3, 4, 5 and 6
i.e. E = {1, 2, 3, 4, 5, 6}
⇒ n(E) = 6,
So, the probability of the event E,