Help picture below problem 12

Answer: 15

Step-by-step explanation:

To solve this problem, we first need to translate the given information into a system of equations. Let's call the first number x and the second number y. Since the sum of the two numbers is 22, we know that x + y = 22.

The second statement says that three times one number increased by five is the same as twice the other number decreased by four. We can translate this into an equation by substituting x and y for the two numbers and using the given information:

3x + 5 = 2y - 4

Now that we have a system of equations, we can solve for x and y. First, we'll solve for x by adding four to both sides of the second equation:

3x + 9 = 2y

Then, we can divide both sides by three to get the value of $x$:

x = {2y - 9} / {3}

Next, we can substitute this expression for x into the first equation to solve for y:

y + {2y - 9} / {3} = 22

We can simplify this equation by multiplying both sides by three:

3y + 2y - 9 = 66

Combining like terms on the left side, we get:

5y - 9 = 66

Then, we can add nine to both sides to solve for y:

5y = 75

Finally, we can divide both sides by five to find the value of y:

y = 15

Now that we know the value of $y$, we can substitute it back into the expression for $x$ to find the value of $x$:

x = \frac{2 \cdot 15 - 9}{3} = \frac{27}{3} = 9

Since we want the larger of the two numbers, the answer is 15

\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill & \$ 1200\\ P=\textit{original amount deposited}\\ r=rate\to 7\%\to \frac{7}{100}\dotfill &0.07\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &15 \end{cases}\)

\(1200 = P\left(1+\frac{0.07}{12}\right)^{12\cdot 15} \implies 1200=P\left( \frac{1207}{1200} \right)^{180} \\\\\\ \cfrac{1200}{ ~~ \left( \frac{1207}{1200} \right)^{180} ~~ }=P\implies 421.21\approx P\)

Answer:

Fast Food Diet and Depression are not related ( b )

Step-by-step explanation:

Because when i eat it i dont feel depression and by the p values they arent

The system of equations has its solution to be x₁ = 2, x₂ = 0 and x₃ = -1

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

2x-x₂ +2x3=2

X₁ + 10x₂ - 3x3=5

-x₁ + x₂ + x3 = -3

Express properly

So, we have

2x₁ - x₂ + 2x₃ = 2

x₁ + 10x₂ - 3x₃ = 5

-x₁ + x₂ + x₃ = -3

Multiply (3) and (2) by 2

-2x₁ + 2x₂ + 2x₃ = -6 --- (4)

2x₁ + 20x₂ - 6x₃ = 10 ---- (5)

Add to (1) & (4)

x₂ + 4x₃ = -4

Subtract (5) from (1)

-21x₂ + 8x₃ = -8

So, we have

-21x₂ + 8x₃ = -8

2(x₂ + 4x₃ = -4)

Subtract

-23x₂ = 0

Evaluate

x₂ = 0

This gives

2x₁  + 2x₃ = 2

x₁ - 3x₃ = 5

-x₁ + x₃ = -3

Add (2) and (3)

-2x₃ = 2

Evaluate

x₃ = -1

Solving x₁, we have

2x₁  + 2(-1) = 2

2x₁  - 2 = 2

2x₁ = 4

Evaluate

x₁ = 2

Hence, the solutions are x₁ = 2, x₂ = 0 and x₃ = -1

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The number of years it would it take for there to be one person for every square yard is 108,325.68 years.

When there is one person for every square yard, it means that the population and land area are equal in value.

Number of years = (In FV / PV) / r

(In 19 billion / 4,079,000) / 0.043 = 108,325.68 years

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Answer:

8.4

Step-by-step explanation:

0.9c - 2.3d

given c = 17 and d = 3, substitute these into the expression:

0.9c - 2.3d

= 0.9(17) - 2.3(3)

= 15.3 - 6.9

= 8.4

\(\cfrac{~~ \frac{4}{x}-2~~}{\frac{1}{x}+3}\implies \cfrac{~~ \frac{4-2x}{\underset{\textit{using this LCD}}{x}}~~}{\frac{1 + 3x}{\underset{\textit{using this LCD}}{x}}}\implies \cfrac{4-2x}{~~\begin{matrix} x \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }\cdot \cfrac{~~\begin{matrix} x \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }{1+3x}\implies \cfrac{2(2-x)}{1+3x}\)

The attendance at the movie theatre is;

Children = 142

Students = 44

Adults = 71

What is arithmetic?

Arithmetic is an elementary part of mathematics that consists of the study of the properties of the traditional operations on numbers—addition, subtraction, multiplication, division, exponentiation, and extraction of roots.

Here, we have

Given:

Seating capacity = 257

Charges: Children = $5.00; Students = $7.00; Adults = $12.00

Total sales of ticket = $1870

A number of children, students, and adults were present in the theatre.

Let A, C, and S represent adults, children, and students respectively.

There are half as many adults as there are children; this means that

A = ½C

If the total seat capacity is 257, then

A + C + S = 257

Also, if the total sales of tickets are $1870, then

12A + 7S + 5C = 1870

So, we have two equations to be solved simultaneously.

A + C + S = 257 --- (1)

12A + 7S + 5C = 1860 --- (2)

Substitute ½C for A in (1) and (2)

½C + C + S = 257

Multiply both sides by 2

2(½C + C + S) = 2 * 257

C + 2C + 2S = 514

3C + 2S = 514 ----- (3)

12(½C) + 7S + 5C = 1870

6C + 7S + 5C ,= 1870

6C + 5C + 7S = 1870

11C + 7S = 1870 --- (4)

Make S the subject of the formula in (3)

2S = 514 - 3C

S = ½(514 - 3C)

S = 257 - 1.5C

Substituton 257 - 1.5C for S in (4)

11C + 7(257- 1.5C) = 1870

11C + 1799 - 10.5C = 1870

Collect like terms

11C - 10.5C = 1870 - 1799

0.5C = 71

Multiply both sides by 2

2 * 0.5C = 2 * 71

C = 142

Recall that

S = 257 - 1.5C

S = 257 - 1.5(142)

S = 257 - 213

S = 44

Also, recall that

A = ½C

A = ½ * 142

A = 71

Hence, the attendance at the movie theatre is;

Children = 142

Students = 44

Adults = 71

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The probability of getting hearts or face cards is 25/52.

We know that, Probability of an event = Number of favorable outcomes/Total number of outcomes.

Total number of outcomes = 52 cards

Number of hearts = 13

Number of face cards = 12

Probability getting hearts = 13/52

Probability getting face cards = 12/52

P(Hearts or Face card) = 13/52 + 12/52

= 25/52

Therefore, the probability of getting hearts or face cards is 25/52.

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Answer:

1. Area of the path = 1800 m²

2. The cost of cementing the path = Rs. 360000

Step-by-step explanation:

Dimension of the garden = 90 m by 80 m.

Width of path = 5 m

1. Area of the path = Area of the path with garden - Area of the garden

Area of the garden = length x breadth

                                = 90 x 80

                                = 7200

Area of the garden is 7200 m².

Area of the garden with path = length x breadth

But, length = 90 + 10 = 100 m

      breadth = 80 + 10 = 90 m

Area of the garden with path = 100 x 90

                                                 = 9000

Area of the garden with path = 9000  m²

Area of the path = 9000 - 7200

                           = 1800 m²

2. The cost of cementing the path = Rs.200 x 1800

                                            = Rs. 360000

An order-preserving function is a function that preserves the order of its inputs. In other words, if x is less than y, then f(x) will be less than f(y).

The statement "f is order-preserving if x < y implies f(x) < f(y)" means that if x is less than y, then f(x) must be less than f(y). This is a necessary condition for a function to be order-preserving. However, it is not a sufficient condition. For example, the function f(x) = x^2 is not order-preserving, because 2 < 3, but f(2) = 4 > f(3) = 9.

In summary, order-preserving functions are useful in situations where we need to preserve the order of a set of data.

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Answer:

Mean = 53.

Step-by-step explanation:

The median is the middle value so the 3 cards are

36, 46, x       where x is to be found.

The range is 41, so:

x - 36 = 41

x = 41 + 36

x = 77.

Therefore, the mean is

(36+46+77) / 3

= 159/3

= 53.

Answer:

104

Step-by-step explanation:

115-11=104

196-92=104

b'

Let the given points be A(3,-5) and B(5,-1).

AB= sqrt of (5−3) ² +(−1+5)²

= sqrt of 4+16

= sqrt of 20

=2 sqrt of 5 units

Answer: b-4 ≥ 16 || Solved: b≥ 20

Step-by-step explanation:

The keywords in this math problem: The DIFFERENCE between b and 4, and this shows subtraction. So, b - 4. AT LEAST means greater than or equal to.

Now we have the equation b-4 ≥ 16.
To solve this, we add 4 to both sides of the equation- 4+4 cancels out, and 16+4 = 20.
That leaves the variable alone and the final answer is b ≥ 20.

Hope this helps!

Answer:

Step-by-step explanation:

4/4

8/6

4/6

Answer: 2√5 - 3

Step-by-step explanation:

\($$Simplify the following:$\sqrt{29-12 \sqrt{5}}$$$\begin{aligned}&29-12 \sqrt{5}=9-12 \sqrt{5}+20=9-12 \sqrt{5}+4(\sqrt{5})^{2}=(2 \sqrt{5}-3)^{2}: \\&\sqrt{\left((2 \sqrt{5}-3)^{2}\right)}\end{aligned}$$Cancel exponents. $\sqrt{(2 \sqrt{5}-3)^{2}}=2 \sqrt{5}-3$ :\\Answer:$$2 \sqrt{5}-3$$\)

Answer:

28

Step-by-step explanation:

the ratio is written as copies/dollars.

14/4=x/8

since we can multiply 4 by 2 to get 8, multiply 14 by 2 as well.

14/4=28/8

Answer:

Area= 50.24

Step-by-step explanation:

Radius is half of the Diameter. 8/2= 4

r=4

3.14*4^2

3.14*16=50.24

Answer:

70°

Step-by-step explanation:

Since triangle QRS is similar to triangle TUV, their corresponding angles are congruent.

Angle V = 180 - 63 - 47

= 70° (sum of angles in triangle=180)

Vertical Asymptotes:x=3

Horizontal Asymptotes: y=1

No Oblique Asymptotes

Jim did not buy any tickets (n_Jim = 0).

Larry bought 7 more tickets than Jim.

To determine the number of tickets Larry bought more than Jim, we need to find the values of n for Larry and Jim's ticket purchases.

For Larry:

Let's substitute C = $170 into the equation C = 24n + 2 and solve for n:

$170 = 24n + 2

Subtracting 2 from both sides:

$168 = 24n

Dividing both sides by 24:

n = 7

For Jim:

We can calculate the number of tickets Jim bought by subtracting 12 from Larry's number of tickets:

n_Jim = n_Larry - 12

n_Jim = 7 - 12

n_Jim = -5

Since we cannot have a negative number of tickets, we can conclude that Jim did not buy any tickets (n_Jim = 0).

To find the difference in the number of tickets bought, we subtract the number of tickets Jim bought from the number of tickets Larry bought:

n_difference = n_Larry - n_Jim

n_difference = 7 - 0

n_difference = 7

Therefore, Larry bought 7 more tickets than Jim.

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Question

The equation C=24n+2 represents the cost, C, in dollars, of buying n tickets to a play. J $170. How many more tickets did Larry buy than Jim? 12

Answer:

\(x^2 + 10x -24 = 0 \: \\ is \: equivalent \: to \: ( x + 2) {}^{2} + 10x - 36=0\)

Step-by-step explanation:

\(x^2 + 10x -24 = 0 \\ x^2 + 12x - 2x -24 = 0 \\x(x + 12) - 2(x + 12) = 0 \\ (x - 2)(x + 12) = 0\)

a) She can make 400 milliliters of the fizzy drink.

b) The change does not affect the greatest amount of drink.

We know that the fizzy drink is 7 parts apple juice and 3 parts lemonade. And Kerry thinks that she has 280ml of apple juice and 180 ml lemonade.

If we divide the total amount of apple juice in 7 parts, then each part has:

280ml/7 = 40ml

Then we need 3 parts of 40ml of the lemonade, this is:

3*40ml = 120ml

Then the total amounf of drink fizz that she can make is:

280ml + 120ml = 400ml.

b) Now she has  160 ml of lemonade, but she needs 120 ml of it, so this change does not affect the greatest amount of fizzy drink she can make.

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The number of different frames you can create, if There are 4 different styles, each available in 5 different colors, there are 3 different shades of blue to choose from, is 12.

A combination is a choice of items from a group of different items, where the order of the choices is irrelevant.

Given:

There are 4 different styles, each available in 5 different colors, there are 3 different shades of blue to choose from,

Calculate the total number of frames, we can create as shown below,

The number of frames = different styles available for blue color × shades of blue

The number of frames = 4 × 3

The number of frames = 12

Thus, the number of frames you can create is 12.

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Answer:

Step-by-step explanation:

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Answer:

x= ( 0,1 )

Step-by-step explanation:

your graph it