Please help me, it’s very important

The sum of a number and 3 divided by 9

polet [3.4K]

Answer:

$\frac{(x+3)}{9}$

Step-by-step explanation:

6 0

2 years ago

A brand 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

garri49 [273]

Answer:

5.6 gallons.

Step-by-step explanation:

If we take x gallons of 25% grape juice then it will contain $\frac{x}{4}$ gallons of pure grape juice.

Again, if we take y gallons of 75% grape juice then it will contain $\frac{3y}{4}$ 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, $\frac{\frac{x}{4} +\frac{3y}{4} }{x+y} =\frac{35}{100}$

⇒ 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)

4 0

2 years ago

The hours of daylight,y, in Utica in days, x, from January 1, 2013 can be modeled by the equation y=3.06sin(0.017x-1.40) + 12.23

defon

The month of January has 31 days, so from January 1st to February 14th, there are 31 + 14 or 45 days, namely x = 45.

y = 3.06 * sin[ 0.017(45) - 1.40 ] + 12.23.

make sure your calculator is in Degree mode.

8 0

3 years ago

Read 2 more answers

What does the equation inverse of the function found in part b represent in the contract of the problem ? explain your answer .

gavmur [86]

Answer:

$f^{-1}(x) =\frac{x}{3} - 5$

The inverse function is to calculate the number of rides; given the amount paid

Step-by-step explanation:

Given

$Admission = 15$

$Ride = 3$ per ride

Required

Explain the inverse function

First, we calculate the function

Let x represents the number of rides

So:

$f(x) = Admission + Ride * x$

$f(x) = 15 + 3 * x$

$f(x) = 15 + 3x$

For the inverse function, we have:

$y = 15 + 3x$

Swap x and y

$x = 15 + 3y$

Make 3y the subject

$3y = x - 15$

Make y the subject

$y =\frac{x}{3} - 5$

Replace y with the inverse function

$f^{-1}(x) =\frac{x}{3} - 5$

The above is to calculate the number of rides; given the amount paid

5 0

3 years ago

A bag contains 6red balls,4 green balls,and3,blue balls if we choose a ball then another one what is the probability That the fi

netineya [11]

Total balls: 6 + 4 + 3 = 13

First pick green = total green / total balls = 4/13

adter picking the first ball there are 12 balls left.

Picking red = total red/ total balls left = 6/12 = 1/2

probability of picking both = 4/13 x 1/2 = 4/26 = 2/13

answer: 2/13

7 0

2 years ago