Given:
Eighteen 2.5 gallon buckets are needed to fill a cistern with water.
To find:
The constant of variation.
Solution:
If y is directly proportional to x, then


Where, k is constant of variation.
In the given problem, water in cistern (w) is directly proportional to number of buckets (n).

(Capacity of each bucket is 2.5 gallons)
Therefore, the constant of variation is 2.5.
Complete question :
En un concesionario de coches hay modelos de varios colores. Los rojos suponen 1/6 del total, los azules, 2/9 del total, y los blancos, 4/15 del total.
a)¿Cuál de esos colores es el más frecuente?
b) Si hay 40 coches azules, ¿cuántos hay en total?
Responder:
Coches blancos
180 coches
Explicación paso a paso:
Dado que:
Rojo = 1/6 del total
Azul = 2/9 del total
Blanco = 4/15 del total
Para determinar qué color es el más alto, convierta los valores en decimal:
1/6 = 0,166667
2/9 = 0,2222
15/4 = 0,26667
Por lo tanto;
4/15> 2/9> 1/6
Por tanto, los coches blancos son los que más
2.)
Sea Número total = x
Por lo tanto,
2/9 de x = 40
2x / 9 = 40
2x = 360
x = 180
Por tanto, hay 180 coches en total.
Answer:
Step-by-step explanation:
The answer to this question is 12+6sqrt3.
This is because of the 30, 60, and 90 degree rule. The rule states that the hypotenuse is equal to twice the length of the shorter leg, which is the side across from the 30 degree angle.
Using the rule you now know that DF is 12. Then use the Pythagorean Theorem to find the length of DE. 12^2=144, and 6^2=36. 144-36=108.
The square root of 108 simplified=6sqrt3.
Then you add them together and get 12+6sqrt3.
6x+7y=4x+4y6x+7y=4x+4y6, x, plus, 7, y, equals, 4, x, plus, 4, y Complete the missing value in the solution to the equation. ((l
tia_tia [17]
Answer:
<h3>
The missing value in the solution to the equation is <u>
6</u>
.</h3><h3>
So, the complete solution is (6, -4).</h3>
Step-by-step explanation:
Given:
6x+7y=4x+4y.
( ,-4)
Now, to complete the missing value in the solution to the equation.
<em>As, the equation is:</em>
<em />
<em />
<em>And, the solution is:</em>

Now, solving the equation by putting the value of
:

<em>Adding both sides by 28 we get:</em>
<em />
<em />
<em>Subtracting both sides by </em>
<em> we get:</em>
<em />
<em />
<em>Dividing both sides by 2 we get:</em>

<u><em>Thus, the solution to the equation is (6, -4).</em></u>
Therefore, the missing value in the solution to the equation is <u>6</u>.
1:104 because there are 52 cards in a deck and he already drew a king, so double the chances and get 1:104?