A recipe for fruit punch calls for 3 liters of orange juice and 2 liters of pineapple juice. jo creates a drink by mixing 4 liters of orange juice with 3 liters of pineapple jucie. which recipe will have the stronger pineapple taste?

The first three steps for solving the quadratic equation by completing the square are as follows;

1. [tex]\rm 9x^2 +54x = 7[/tex]

2. [tex]\rm 9(x^2 + 6x) = 7[/tex]

3. [tex]\rm 9(x^2 + 6x + 9) = 7 + 81[/tex]

Given

The quadratic equation given as  9x^2 + 54x = 7.

The highest power of the degree is 2 is known as a quadratic equation.

To solve using the completing the square method.

The first three steps for solving the quadratic equation by completing the square are given below.

1. Write the equation in a way that the constants are on the right side while the terms with x are on the left.

[tex]\rm 9x^2 +54x = 7[/tex]

2. Make sure that the coefficient of the x^2 term is 1.

[tex]\rm 9(x^2 + 6x) = 7[/tex]

3. Adding a term to both sides that will complete the square on the left side.

This is done by dividing the coefficient of the x term by 2 and squaring it.

The same amount should be added to the right side to balance the equation.

[tex]\rm 9(x^2 + 6x + 9) = 7 + 81[/tex]

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Answer:

sorry i can see it its blured

From step 1 to step 2 they added 3 squares.

From step 2 to step 3 they added 5 squares.

Each step they add the next odd number in sequence: 3,5,7,9,etc.

So for step 4 they would add 7 more squares. Add 7 to the number of squares in step 3 for total squares:

7 + 9 = 16

step 4 will have 16 squares.

Answer: .....

Ok done. Thank to me :>

Answer:

1. C

2. E

3. D

4. B

5. A

Hope This Helps!!!

Answer:

4 -2,3 -4,2 -5,5 -1,1 -3

I hope this helps you

The correct option regarding the point (0,0) is the context of this function is given by:

D) The point is valid in terms of the context because it shows that the area and perimeter start at 0.

The perimeter of a garden of area a is given by:

[tex]p = 4\sqrt{a}[/tex]

If there is no garden, that is, the area is 0, the perimeter is also 0, hence point (0,0) is valid, which means that option D is correct.

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Answer:

[tex]\sqrt{22}\approx5[/tex]

Step-by-step explanation:

We know that [tex]\sqrt{16}=4[/tex] and [tex]\sqrt{25}=5[/tex], so since 22 is closest to 25, then we can say that [tex]\sqrt{22}\approx5[/tex]

Answer:

- 40

Step-by-step explanation:

The absolute value always returns a positive value , that is

- | - 40 | = - | 40 | = - 40

Hello!

0,9^2

0,9²

0,9 × 0,9

0,81

The value of the power 0,9^2 is 0,81

_____________________________

Answer: 6

Step-by-step explanation:

Answer:

Equation 1: 7x + 2y = 12.8

Equation 2: 6x + 3y = 12

Cost of 1 apple: $1.60

Cost of 1 orange: $0.80

Cost of 1 orange: $Step-by-step explanation:

Let's use the elimination method to solve this

Multiply equation 1 by 3

(7x + 2y = 12.8) x 3 = 21x + 6y = 38.4

Multiply equation 2 by -2

(6x + 3y = 12) x -2 = -12x - 6y = -24

The x terms will cancel each other out

21x + 6y = 38.4

-12x - 6y = -24

9x = 14.4

Divide by sides by 9 to isolate the x variable

9x/9 = 14.4/9

x = 1.6

This means an apple costs $1.60

Plug the new x into one of the original equations to find y; we'll use equation 1

7(1.6) + 2y = 12.8

11.2 + 2y = 12.8

Subtract 11.2 from both sides

11.2 + 2y = 12.8

- 11.2        - 11.2

2y = 1.6

Divide both sides by 2

2y/2 = 1.6/2

y = 0.8

This means an orange costs $0.80

Answer:

maybe 4 hours

____________

Answer: 4 hours

Step-by-step explanation: 10 for the first hour then 12 x 4=58

Answer: (x,y) = (5,2)

In other words, x = 5 and y = 2

====================================================

Explanation:

Subtract the equations straight down.

We end up with 6y = 12 which solves to y = 2 after dividing both sides by 6.

Now use this y value to find x.

If we used the first equation, then we have these steps

3x+4y = 23

3x+4(2) = 23

3x+8 = 23

3x = 23-8

3x = 15

x = 15/3

x = 5

Or we could use the second equation

3x-2y = 11

3x-2(2) = 11

3x-4 = 11

3x = 11+4

3x = 15

x = 15/3

x = 5

We get the same x value either way.

The solution is (x,y) = (5,2)

To check the answer, plug those coordinates into each equation. After simplifying, you should get the same number on both sides.

------------------

Check:

3x+4y = 23

3(5)+4(2) = 23

15+8 = 23

23 = 23 .. that works

and,

3x-2y = 11

3(5)-2(2) = 11

15 - 4 = 11

11 = 11 .. that works as well

Both original equations are true for those x and y values.

The solution is fully confirmed.

Answer: Area =  l × w

=  1 × 2.6

=  2.6 feet2

Step-by-step explanation:

Answer:

"In addition"

Step-by-step explanation:

"In addition" is redundant because of what's said before it. "but some people also add lemon juice" is a way stronger sentence overall.

[tex]\text{Let's write it like}\\x+y=8\\+\:\:\:+\\z-x=6\\\downarrow\:\:\:\:\:\:\downarrow\\13\:\:\:\:8\\=>\\\displaystyle\\\left \{ {{x+z=13} \atop {z-x=6}} \right. \\\left \{ {{x+z=13} \atop {z=6+x}} \right. \\\downarrow\\x+x+6=16\\2x=7\\x=3,5=>z=9,5\\\text{Now we need to find y}\\3,5+y=8\\y=4,5\\\\\text{so we have}\\3,5+4,5=8\\+\:\:\:\:\:\:\:\:\:+\\9,5-3,5=6\\\downarrow\:\:\:\:\:\:\:\:\:\:\:\:\downarrow\\13\:\:\:\:\:\:\:\:\:\:8\\[/tex]

Answer:

45

Step-by-step explanation:

Because 15 plants is 25% of 60 plants

Hope it helps :)

Answer:

Step-by-step explanation:

Function f(g(x)) is the amount of money Raul earns per ticket sold.

here are the steps to find f(g(x)):

Define the functions f(x) and g(x).

f(x) = amount of money Raul earns per ticket

g(x) = number of tickets Raul sells per hour

Substitute g(x) for x in the function f(x).

f(g(x)) = amount of money Raul earns per ticket * number of tickets Raul sells per hour

Simplify the expression.

f(g(x)) = amount of money Raul earns per ticket * number of tickets Raul sells per hour

= amount of money Raul earns per ticket sold

Therefore, f(g(x)) is the amount of money Raul earns per ticket sold.

Here is an example:

Let's say f(x) = $10 and g(x) = 2 tickets/hour. If Raul works for 1 hour, he will sell 2 tickets and earn $20.

f(g(x)) = f(2) = $10 * 2 = $20

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Answer:

x = 20

Step-by-step explanation:

180 - 45 = 5x + 35

180 - 45 = 135

5x + 35 = 135

5x + 35 - 35 = 135 - 35

5x = 100

5x/5 = 100/5

x = 20

Answer:

x=20

Step-by-step explantion:

180-45=135

we have,

135=5x+35

135-35=5x

100=5x

100/5=x

20=x

Answer:

2

Step-by-step explanation:

you do the (* first so it 8 then you add it with -6 which decreases it that makes 2 and 2 divided by 2 is one so add all together and get 2

Answer:

8x2y is a monomial.

Step-by-step explanation:

Answer:

Distance = speed * time

You are given both the speed and the time so you can find the distance

speed = 56 miles/hr

time = 3 hrs 45 minutes  = 3.75 hrs

distance = 56 * 3.75

distance = 210 miles

Step-by-step explanation:

Answer:

I getting the probability of the adult female that will rent the action movies in DVDs in by dividing the possible probability outcome which is 10% of all adults by the total number of possible outcome. So all of the population of the female is 51% and the ones who rent is only 10%. the probability is 19%

The solution is, 0.20 is the probability that the person rents action-movie DVDs, given that the person is female.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

here, we have,

given that,

Data:

A: the adult is a male, P(A) = 0.49

B: the adult rent action-movie DVDs

C: the adult is a female,  P(C) = 1 - P(A) = 1 - 0.49 = 0.51  

24% of the adults are male and rent action-movie DVDs, then P(A ∩ B) = 0.24

10% of the adults are female and rent action-movie DVDs, then P(C ∩ B) = 0.10

The conditional probability of B (the adult rents action-movie DVDs) given C (the adult is female) is computed as follows:

P(B|C) = P(C ∩ B)/P(C)

          = 0.1/0.51

          = 0.2

Hence, The solution is, 0.20 is the probability that the person rents action-movie DVDs, given that the person is female.

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Answer:

x = 2, y = -1

(x,y) = > (2,-1)

Step-by-step explanation:

2x + 5y = -1

3x + 2y = 4

-3(2x + 5y = -1) = > -6x - 15y = 3

2(3x + 2y = 4) = > 6x + 4y = 8

-6x - 15y = 3

6x + 4y = 8

-11y = 11

/-11  /-11

y = -1

2x + 5y = -1

2x + 5(-1) = -1

2x -5 = -1

   +5   +5

2x = 4

/2   /2

x = 2

(x,y) = > (2,-1)

Hope this helps!

Answer:

65,93 cm or what is it is x

Answer:

-24

Step-by-step explanation:

First, at up an equation based on the problem:

2 - ⅓x = 4 + 6

Then, solve for x:

2 - ⅓x = 10

-⅓x = 8

x = -24

OR

2 = 10 + ⅓x

-8 = ⅓x

-24 = x

SAS

=========================================

Explanation:

SAS = side angle side

One pair of congruent sides is AC = CE (single tickmark). That takes care of one "S" of "SAS".

The other pair of congruent sides is BC = CD (double tickmark). This takes care of the other "S" of "SAS". The order of the "S" terms doesn't matter as long as the angles are between those sides.

The congruent pair of angles is angle ACB = angle ECD. Vertical angles are always congruent. Since we have a pair of congruent angles, this takes care of the "A" of "SAS". The angles are between the sides mentioned in the previous paragraphs.