Abrand of grape juice that's is 25% grape juice is mixed with another brand that is 75% grape juice. the result is 7 gallons of grape drink that is 35% grape juice. how much of the brand that is 25% grape juice was used?

5.6 gallons.

Step-by-step explanation:

If we take x gallons of 25% grape juice then it will contain gallons of pure grape juice.

Again, if we take y gallons of 75% grape juice then it will contain gallons of pure grape juice.

If we mix them then the total volume will become x + y = 7 gallons  ...... (1)

Again the mixture will become 35% juice.

So,

⇒ 0.25x + 0.75y = 0.35x + 0.35y

⇒0.1x = 0.4y

⇒x = 4y........ (2)

Now, solving equations (1) and (2) we get, 5y = 7, ⇒ y = 1.4 gallons

Hence, x = 4y = 5.6 gallons

Therefore, the 25% grape juice was mixed by 5.6 gallons. (Answer)

hope this !

step-by-step explanation:

d = distance between moon and sun, which in this problem is the hypotenuse of a right triangle.  

the distance y is the side opposite to angle x in the right triangle.   use the definition of the sine function from basic trigonometry.

sin(x) = y/d ⇒

d = y/sin(x)

there would be 162.15 calories in this cereal.

step-by-step explanation: