For her end of the year party Adriana mixed 6 L of Brand A juice with 9 L of Brand B juice. Brand A contains 52% fruit juice and Brand B contains 12% fruit juice. What percent of the mixture is fruit juice?
A. 28%
B. 20%
c. 30%

Answer: 4

Step-by-step explanation:

We can use the proportion. We already know that Dixon is 6 ft tall and that his shadow is 9 ft long. Also we know that the shadow of his sister is 6 ft long. 6 : x = 9 : 6, or 6 / x = 9 / 6. After that we will cross multiply : 9 * x = 6 * 6, 9 x = 36 , x = 36 : 9, x = 4. Answer: Ariadne is 4 feet tall.Hope I helped! :) Cheers!

The distance between the points (1, 2) and (10,-10) is 15 units.

In Mathematics and Geometry, the distance between two (2) points that are on a coordinate plane can be calculated by using the following mathematical equation:

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Where:

x and y represent the data points (coordinates) on a cartesian coordinate.

By substituting the given points into the distance formula, we have the following;

Distance = √[(10 - 1)² + (-10 - 2)²]

Distance = √[(9)² + (-12)²]

Distance = √[81 + 144]

Distance = √225

Distance = 15 units.

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Answer:

416.16

Step-by-step explanation:

First, solve the parenthetical expression (23-12) which equals 11. Next, use the order of operations to perform the multiplication and division from left to right: 48 ÷ 11 = 4.36 and 4.36 x 81 = 353.16. Finally, add this result to 63 to get the final answer: 63 + 353.16 = 416.16. Therefore, the solution is 416.16.

Answer:165+12x=y

Step-by-step explanation:there is 3 $55 games and x12 dollars game so that the equation.

The area of the triangle MNO is 14.7 sq cm and the shortest altitude is 2.1 cm

From the question, we have the following parameters that can be used in our computation:

MN = 5 cm, NO = 6 cm and MO = 7 cm

So, we have

s = 1/2 * (5 + 6 + 7)

Evaluate

s = 9

The area is then calculated as

Area = √[s(s - MN)(s - NO)(s - MO)]

Substitute the known values in the above equation, so, we have the following representation

Area = √[9 * (9 - 5)(9 - 6)(9 - 7)]

Evaluate

Area = 14.7

Also, we have

Shortest altitude = 14.7/7

Shortest altitude = 2.1

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The degree of vertex B is 3.

Given is a figure we need to find the degree of vertex of point B,

So, the degree of a vertex is the line segment connected by it,

The point B is connected by three segment, FB, AB, CB.

Hence, the degree of vertex B is 3.

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The correct expression for the company use to approximate the percent increase in revenue through a certain number of months, m is,

⇒ [tex]A = P (1 .0465 )^m[/tex]

We have to given that;

A company's revenue increased by 4.65% over the previous year.

We know that;

Formula is,

[tex]A = P (1 + \frac{r}{100} )^m[/tex]

Where, A = final amount

P = principal amount

r = rate

m = time in months

So, The correct expression for the company use to approximate the percent increase in revenue through a certain number of months, m is,

⇒ [tex]A = P (1 + \frac{r}{100} )^m[/tex]

⇒ [tex]A = P (1 + \frac{4.65}{100} )^m[/tex]

⇒ [tex]A = P (1 + 0.0465 )^m[/tex]

⇒ [tex]A = P (1 .0465 )^m[/tex]

Thus, the correct expression for the company use to approximate the percent increase in revenue through a certain number of months, m is,

⇒ [tex]A = P (1 .0465 )^m[/tex]

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The expressions that are equivalent to 24a - 6 are 1/2(48a - 12) and -3(2a + 2) + 18a

Let's start with the first expression,

=> 12(48a - 12).

We can distribute the 12 to get

=> 576a - 144.

This expression is not equivalent to 24a - 6 since 576a - 144 cannot be simplified to 24a - 6.

Moving on to the second expression,

=> 1/2(48a - 12) = 24a - 6.

This expression is equivalent to 24a - 6 since it simplifies to the same expression.

The fourth expression,

=> -3(2a + 2) + 18a

can be simplified by distributing the -3 to get

=> -6a - 6 + 18a.

Combining like terms, we get

=> 12a - 6.

This expression is equivalent to 24a - 6 since it simplifies to the same expression.

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all

Gina wants to go to the water park with her friends. They have a total of www dollars to buy 555 tickets. Each ticket costs 151515 dollars.

Select the equation that matches this situation.

Choose 1 answer:

Choose 1 answer:

(Choice A)   5 = 15 \times w5=15×w5, equals, 15, times, w

A

5 = 15 \times w5=15×w5, equals, 15, times, w

(Choice B)   w = 15 +5w=15+5w, equals, 15, plus, 5

B

w = 15 +5w=15+5w, equals, 15, plus, 5

(Choice C)   w = 5 \times 15w=5×15w, equals, 5, times, 15

C

w = 5 \times 15w=5×15

Answer:

V = (1/3)π(3.5)^2(11)

V ≈ 134.64 cubic centimeters

The symbol for the stock boeing is BA.

We are given that;

Quotation 80.12 81.09 79.20 81.00

Now,

It is the first item in the quotation after the company name. The other items are the previous close price, the open price, the low and high prices of the day, the current price, the change in percentage, the volume in millions, the dividend yield and the P/E ratio.

Therefore, by the equation the answer will be BE.

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Answer:

648ft

Step-by-step explanation:

18 multiplied by 36 is 648

Answer:

648 ft ^2

Step-by-step explanation:

A = L * W A = 18 ft * 36 ft A = 648 ft^2

The resulting number is the area of the rectangle, which is expressed in square units. So the area of the figure is 648 square feet

The correct statements regarding the solutions of the quadratic function is given as follows:

Two complex solutions.

A quadratic equation is modeled by the general equation presented as follows:

y = ax² + bx + c

The discriminant of the quadratic function is given by the equation as follows:

Δ = b² - 4ac.

The numeric value of the coefficient and the number of solutions of the quadratic equation are related as follows:

The function for this problem is given as follows:

y = 2x² - 8x + 10.

The coefficients are given as follows:

a = 2, b = -8 and c = 10.

Hence the discriminant is given as follows:

Δ = (-8)² - 4 x 2 x 10

Δ = 64 - 80

Δ = -16.

Negative discriminant, hence the equation has two complex solutions.

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now, taking a peek at the picture above, let's notice, the pyramid is really just 4 triangles, three standing up and one lying down.

[tex]\stackrel{ \textit{\LARGE Areas} }{\stackrel{ \textit{triangles standing up} }{3\left[\cfrac{1}{2}(\underset{b}{5})(\underset{h}{7}) \right]}~~ + ~~\stackrel{ \textit{triangle lying down} }{\cfrac{1}{2}(\underset{b}{5})(\underset{h}{4.3})}}\implies 52.5+10.75\implies \text{\LARGE 63.25}~yd^2[/tex]

Using the system of equations, the number of adults and the number of children who were committed are 140 and 104 respectively.

Given that,

The admission fee at an amusement park is $1.50 for children and $4 for adults.

Let x be the number of adults and y be the number of children who were admitted.

On a certain day, 244 people entered the park, and the admission fees collected totaled 716.00 dollars.

We get a system of equations,

x + y = 244

4x + 1.5y = 716

From the first equation,

y = 244 - x

Substituting this to second equation,

4x + 1.5(244 - x) = 716

4x + 366 - 1.5x = 716

2.5x = 350

x = 140

y = 244 - x = 104

Hence the number of children equals 104 and the number of adults equals 140.

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The percentage of saline solution in brand B is 3%. Then the correct option is B.

Let x be the percent of saline solution in brand B.

Since Danielle combined brands A and B to create a total of 18 gallons of 8% saline solution, we know that the total volume of saline solution in the combination is 18% of 6 gallons + x% of (18 - 6) gallons.

Thus, we can set up the equation:

0.18(6) + 0.01x(18 - 6) = 0.08(18)

Simplifying and solving for x, we get:

1.08 + 0.12x = 1.44

0.12x = 0.36

x = 3

Therefore, the percentage of saline solution in brand B is 3%.

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Answer:

All three of these functions have a domain of all real numbers.

Answer:

lol the answer is the second one

The Vector R will be 4.8 units in the direction of East of South. Then the correct option is B.

Given that:

Vector C is 3.5 units West

Vector D is 3.3 units South

The quantity which has magnitude, and direction, and follows the law of vector addition is called a vector.

Vector R is equal to Vector D - Vector C. Then we have

Vector R = Vector D - Vector C

Vector R = 3.3 units South - 3.5 units West

Vector R = 3.3 units South + 3.5 units East

Vector R = √((3.3)² + (3.5)²)

Vector R = 4.8 units

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Answer:

Step-by-step explanation:

[tex]\frac{9\sqrt{x} -6}{\sqrt{x} +7} \times \frac{\sqrt{x} -7}{\sqrt{x} -7} \\=\frac{9(x)-63\sqrt{x} -6\sqrt{x} +42}{(\sqrt{x} )^2-7^2} \\=\frac{9x-69\sqrt{x} +42}{x-49}[/tex]

The probability that the customer is served by Charter with market share of 30% is equal to 34.9%.

Let A be the event that the customer is served by Charter,

and B be the event that the customer is experiencing an internet speed of 12Mbps.

Probability of A given B, which can be written as P(A|B).

Use Bayes' theorem to find P(A|B),

P(A|B) = P(B|A) × P(A) / P(B)

P(A) = 0.3 (the market share of Charter)

and P(B) = P(B/A) × P(A) + P(B / A') × P(A'),

where P(A') = 1 - P(A) = 0.7 (the market share of Xfinity).

P(B|A), the probability of experiencing an internet speed of 12Mbps given that the customer is served by Charter,

All speeds between 7Mbps and 15Mbps are equally likely.

This implies, the probability of experiencing a speed of 12Mbps given Charter is,

P(12Mbps/A) = 1 / (15Mbps - 7Mbps)

                     = 1 / 8

P(B|A'), the probability of experiencing an internet speed of 12Mbps given that the customer is served by Xfinity,

All speeds between 10Mbps and 20Mbps are equally likely.

This implies, the probability of experiencing a speed of 12Mbps given Xfinity is,

P(12Mbps|A') = 1 / (20Mbps - 10Mbps)

                     = 1 / 10

Now substitute all the values into Bayes' theorem,

P(A|B) = P(B|A) × P(A) / [P(B|A) × P(A) + P(B |A') × P(A')]

= (1/8) × 0.3 / [(1/8) × 0.3 + (1/10) × 0.7]

= 0.349

Therefore, the probability that the customer is served by Charter given that they are experiencing an internet speed of 12Mbps is 0.255, or about 34.9%.

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Answer:

5 1/3

Step-by-step explanation:

2/3 x 6 + 2/3 x 2

2/3 x 6 = 12/3

2/3 x 2 = 4/3

12/3 + 4/3 = 16/3

16/3 = 5 1/3

I don't think it can be solved

Both the rows and columns should be equal I guess

Answer:

1/4

Step-by-step explanation:

Answer:

This (1.) unlikely

The standard deviation is 0.89

The correct answer is an option (d)

We know that the formula for the standard deviation is:

[tex]\sigma=\sqrt{(x-\mu)^2\times P(x)}}[/tex]

where x is the data value

P(x) is the expected value of x

μ is the mean expected value

x            P(x)             x.P(x)                    (x - μ)² . P(x)

1            4/10             4/10                          4/10

2            2/10             4/10                            0

3            4/10            12/10                          4/10

The mean value would be, 4/10 + 4/10 + 12/10 = 2

Using above formula, the standard deviation would be,

[tex]\sigma=\sqrt{(x-\mu)^2\times P(x)}}[/tex]

σ = √(4/10 + 0 + 4/10)

σ = √(8/10)

σ = 0.89

Therefore, the correct answer is an option (d)

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Find the complete question below.

The correct ansewer is there is no correlation between average annual rainfall and average temperature

To show the relationship between two variables, scatter plots are utilized. The following broad inferences can be drawn from a scatter plot:

But in the given graph there is no property applying at all so,

The correct ansewer is there is no correlation between average annual rainfall and average temperature

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Answer:

Step-by-step explanation:

50%

Answer: D

Step-by-step explanation:

2x-36=0                                                

+36     +36

___________

2x=36

x=18

Even if one equation, -18 was not solved, you can easily cross out the ones without 18 and get the answer.