To find the distance traveled, we multiply the speed by the time. In this case, one person travels 60t miles in one direction, and the other person travels 50t miles in the other direction. So at any time t, the distance between the two people is 60t + 50t = 110t.
Given that the distance between them is 440 miles, we can solve for t with the following equation:
110t = 440
t = 4 hours
Just substitute in values into the equation corresponding to the x,y:
To solve for a missing y value, substitute the corresponding x value, so 0, 2.33, and 6.25.
To solve for x, set the equation equal to the x and solve.
x's:
0
.25
2.33
4.5
6.25
y's:
5
5.75
14.99
18.5
23.75
---------------------
By scenario, you could make that equation 3x + 5 the rental time of a very cheap carper cleaner service. They charge 5 dollars as the static fee, and 3 dollars per hour
Answer:
Maria
Step-by-step explanation:
Find the ratio of powdered mix to water for each drink.
For Maria:
(2/3 cup) / (2 gallon)
= 1/3 cup per gallon
For Franco:
(1 1/4 cup) / (5 gallon)
= (5/4 cup) / (5 gallon)
= 1/4 cup per gallon
Since 1/3 is bigger than 1/4, Maria's sports drink is stronger.
Hello! Your answer would be A and B, 5 and 4.
----
First, move all values to one side. This will give us the quadratic equation we are looking for to solve (and make it much easier).
x² - 3x + 27 = 6x + 7
x² - 9x + 20 = 0
Now, factor the equation. Essentially, turn it into the form of (x + a)(x + b), where a + b must equal -9 in this case (the coefficient of x) and a * b must equal, in this case, 20.
The numbers which when added equal -9 and multiplied equal 20 are negative 5 and negative 4.
Substitute these into (x + a)(x + b).
(x - 5)(x - 4) = 0
Now, recall that anything multiplied by 0 is equal to 0. This can be applied in this scenario because we are looking to make either (x - 5) or (x - 4) equal to 0, as that would set the entire left side equal to 0, and make our equation correct.
To do this, x would either have to equal 5 or 4. This is because 5 - 5 = 0, and 4 - 4 = 0.
Therefore, your two solutions to the equation are 5 and 4.
----
If you would like confirmation:
5² - 3*5 + 27 = 6*5 + 7
25 - 15 + 27 = 30 + 7
37 = 37
----
4² - 3*4 + 27 = 6*4 + 7
16 - 12 + 27 = 24 + 7
31 = 31
----
Hope this helps!
