The current exchange rate for the mexican peso to the us dollar is 3 to.if a tourist dinner bill was 15 pesos,what is the amount in the us dollar​

Answer:

x = 3

Step-by-step explanation:

4 ( x - 7 ) = -6x + 12

→ Expand brackets

4x - 28 = -6x + 12

→ Add 6x to both sides

10x - 28 = 12

→ Add 28 to both sides

10x = 30

→ Divide both sides by 10

x = 3

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Answer:

To find the optimal consumption bundle, we need to maximize utility given the budget constraint. The summary of the answer is as follows: With a utility function of U = 4X + XY and a budget of $600, the optimal consumption bundle is (X = 20, Y = 10).

To explain the solution, we start by considering the budget constraint. The total expenditure on goods X and Y cannot exceed the available budget. Given that the price of X is $10 and the price of Y is $30, we can set up the equation as follows: 10X + 30Y ≤ 600.

Next, we maximize utility by considering the marginal utility of each good. Since MUx = 4 + Y, we equate it to the price ratio of the goods, MUx / Px = MUy / Py. This gives us (4 + Y) / 10 = 1 / 3, as the price ratio is 1/3 (10/30).

Solving the equation, we find Y = 10. Substituting this value into the budget constraint, we get 10X + 30(10) = 600, which simplifies to 10X + 300 = 600. Solving for X, we find X = 20.

Therefore, the optimal consumption bundle is X = 20 and Y = 10, meaning you should consume 20 units of good X and 10 units of good Y to maximize utility within the given budget.

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Using the exponential growth formula, the population in 2005 was 161 million.

The equation f(x) = a(1 + r)^x can also be used to compute exponential growth, where: The function is represented by the word f(x). The initial value of your data is represented by the a variable. The growth rate is represented by the r variable. To calculate growth rates, divide the difference between the starting and ending values for the period under study by the starting value.

Growth factor = (159/154) for the eleven-year period between 1990 and 2001.

The population growth might thus be described by the exponential equation

p(t) = 154(159/154)^(t/11), where t is the number of years since 1990.

The model forecasts a population of... p(15) = 154(159/154)^(15/11)

= 160.86 = 161 million

In 2005, there were about 161 million people living there.

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Correct Question:

A country's population in 1990 was 154 million. In 2001 it was 159 million. Estimate the population in 2005 using the exponential growth formula. Round your answer to the nearest million.

Answer:

(37,23)

Step-by-step explanation:

1. 11+x divide 2 = 24

x= 37

2. 25+y divide 2= 24

y= 23

Answer:

a. option is the correct answer

Answer:

1

Step-by-step explanation:

1+3 = 4  4*7 = 28

it's 1 because 28/7 = 4 and you add 3 to the number so 1 + 3 = 4 * 7 = 28 is correct.

Answer:

-3

Step-by-step explanation:

f(1)=x-4

x=1

=1-4

=-3

The formula for the linear function which is passing the points (0, 5) and (1, 20) is f(x) = 15x + 5.

According to the given question.

The linear form of the function is

f(x) = mx + b

Also, the function is passing through the points (0, 5) and (1, 20).

So, the given points (0, 5) and (1, 20) must satisfy f(x) = mx + b.

Now,

At (0, 5)

f(0) = m(0) + b

⇒ 5 = 0 + b

⇒ b = 5 ..(i)

Also,

at (1, 20)

f(1) = m(1) + b

⇒ 20 = m + 5     (from i)

⇒ m = 20 - 5

⇒ m = 15

Therefore, the formula for the linear function which is passing the points (0, 5) and (1, 20) is given by

f(x) = 15(x) + 5   (on substituting the vale of m and b in f(x) = mx + b).

⇒ f(x) = 15x + 5

Hemce, the formula of the function is f(x) = 15x + 5.

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No, when finding the difference in elevations we should not consider only the absolute value of the difference because elevation differences can give a negative value as well.

Absolute value describes the distance from zero that a number is on the number line, without considering direction.

We know that while measuring elevation there can be a positive value which means that the distance measured is above sea level and there can also be a negative value elevation which means that the distance measured is below sea level.

For example:

If we are measuring the difference in distance of two points below sea level.

One point is at -6 feet

Another point is at -14 feet

The difference between these points is:

= -14 - (-6)

= -14 + 6

= -8

We can have a negative difference in elevation but the absolute value will always give a positive value.

Therefore,

No, when finding the difference in elevations we should not consider only the absolute value of the difference because elevation differences can give a negative value as well.

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Moving from the point (-1, 1) left 2 units and down 2 units, the point would end up being:

(-3, -1)

The required image of the point (-1, 1) is (-3, -1).

Given that,
To determine the image point of (-1,1)(−1,1) after a translation left 2 units and down 2 units.

Coordinate, is represented as the values on the x-axis and y-axis of the graph

Here,
The given point, (-1, 1)
This point has been translated left 2 units and down 2 units
Whenever it is right or left translation, there is a change in the coordinate of x and when there is up and down translation there is a change in the coordinate of the y-axis,

Now,
2 units left
x = -1 - 2 = -3
2 units down
y = 1 - 2 = -1

Thus, the required image of the point (-1, 1) is (-3, -1).

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Answer:

B one is answer because maths is easy

Answer:

Step-by-step explanation:

Step-1: Convert the mixed fractions into improper fractions.

Step-2: Multiply the improper fractions.

[The minuses on both fractions cancelled out because when there are 2 minuses multiplying each other, the minuses cancel out.]

Step-3: Convert the improper fraction into mixed fraction.

Hence, the answer is 9 1/5.

Hoped this helped.

\(BrainiacUser1357\)

By adapting Euclid's proof for prime integers, we can show that there are infinitely many monic irreducible polynomials in the polynomial ring K[x], where K is a field.

Let's consider the polynomial ring K[x], where K is a field. To show that there are infinitely many monic irreducible polynomials in K[x], we can adapt Euclid's proof for prime integers.

Assume we have a finite list of monic irreducible polynomials in K[x], denoted as P1(x), P2(x), ..., Pn(x). We want to find a monic irreducible polynomial that is not divisible by any of these polynomials.Consider the polynomial Q(x) = P1(x)P2(x)...Pn(x) + 1. This polynomial is monic and has a degree greater than any of the polynomials in our list.

Now, let's assume that Q(x) is reducible. This would mean that Q(x) can be factored as Q(x) = R(x)S(x), where R(x) and S(x) are non-constant polynomials in K[x].Since Q(x) is monic and has a degree greater than any polynomial in our list, both R(x) and S(x) must have a degree less than Q(x).

However, this implies that R(x) and S(x) are not divisible by any of the polynomials in our list, contradicting the assumption that we had a finite list of monic irreducible polynomials.

Therefore, Q(x) must be irreducible, and we have found a monic irreducible polynomial that is not in our initial list.Since this argument can be repeated infinitely, we conclude that there are infinitely many monic irreducible polynomials in K[x], where K is a field.

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The day-fine system solves the objection to the use of fines are unfair because more affluent offenders can buy their way out of prison while indigent offenders are unable to pay fines. (option c)

The objection that the day-fine system helps to solve is the difficulty in ensuring proportionality when imposing fines.  

The day-fine system addresses this objection by calculating fines based on the offender's daily income or financial means. By taking into account an individual's ability to pay, the day-fine system ensures that fines are proportional to the offense committed.

Lastly, fines have been criticized for their limited effectiveness in reducing recidivism and their potential link to increased involvement in future crimes. This objection questions the overall efficacy of fines as a deterrent and suggests that alternative approaches may be more successful.

While the day-fine system does not directly solve this objection, it offers a more equitable and proportionate approach to imposing fines. By addressing concerns related to proportionality and fairness, the day-fine system aims to enhance the effectiveness and legitimacy of fines as a punishment within the criminal justice system.

Hence the correct option is (c).

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Complete Question:

The day-fine system solves which objection to the use of fines?

a) It is difficult to ensure proportionality when imposing fines.

b) The collection of fines is expensive and creates administrative difficulties for the criminal justice system.

c) Fines are unfair because more affluent offenders can buy their way out of prison while indigent offenders are unable to pay fines.

d) Not only do fines not appear to reduce recidivism, they have been linked to increased involvement in future crime.

Answer:

f(x)= -2x+490

Step-by-step explanation:

f(x)=mx+b

where m=slope and b=y-intercept

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Answer: The value of x in trapezoid ABCD is 15

Step-by-step explanation: The trapezoid as described in the question has two bases which are AB and DC and these are parallel. Also it has sides AD and BC described as congruent (that is, equal in length or measurement). These descriptions makes trapezoid ABCD an isosceles trapezoid.

One of the properties of an isosceles trapezoid is that the angles on either side of the two bases are equal. Since line AD is equal to line BC, then angle D is equal to angle C. It also implies that angle A is equal to angle B.

With that bit of information we can conclude that the angles in the trapezoid are identified as 3x, 3x, 9x and 9x.

Also the sum of angles in a quadrilateral equals 360. We can now express this as follows;

3x + 3x + 9x + 9x = 360

24x = 360

Divide both sides of the equation by 24

x = 15

Therefore, in trapezoid ABCD

x = 15  

Answer:

x=15

Step-by-step explanation:

Answer:

108

Step-by-step explanation:

"five times a number x, decreased by 2" can be expressed as: 5x - 2

Now,

5x - 2 = 5*22 - 2 = 110 - 2 = 108

Answer:

2

Step-by-step explanation:

add them aall up

The graph of the equation y = –12x – 6 is attached in the solution.

We can find the x and y intercept of the line to find make the graph.

Putting x = 0 in the given equation, we get:-

y = -12(0) - 6 = 0 - 6 = -6

Hence, the x -intercept is (0,-6).

Putting y = 0 in the given equation, we get:-

0 = -12x - 6

6 = -12x

x = 6/(-12)

x = -1/2

Hence, the y -intercept is (-1/2,0).

We can find another point on the line.

Putting x = -1 in the given equation, we get:-

y = -12(-1) - 6

y = 12 - 6 = 6

y = 6

Hence, another point on the line is (-1,6).  

Plotting these points we can graph the equation of the line.

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Answer:

to solve, really, you just combine like terms and follow the formula

Step-by-step explanation:

for example:

y2-y1=m(x-x1)

y-3=4(x-5)

y-3=4x-20

y=4x-23

Answer:

m = -2

Step-by-step explanation:

We Know

Slope = rise/run or (y2 - y1) / (x2 - x1)

Pick 2 points (-3,2) (-2,0)

We see the y decrease by 2, and the x increase by 1, so the slope is

m = -2

Answer: its sixty-nine

Step-by-step explanation:its my lucky number

Answer:

srry i need the points so i can go to sleep because i have to fish my work

Step-by-step explanation:

\(~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$4000\\ r=rate\to 7\%\to \frac{7}{100}\dotfill &0.07\\ t=years\dotfill &10 \end{cases} \\\\\\ A=4000e^{0.07\cdot 10}\implies A=4000e^{0.7}\implies A\approx 8055.01\)

Answer:

18

Step-by-step explanation:

6*6/2

Answer:

B

Step-by-step explanation:

the absolute value function always gives a positive result

However, the value inside can be positive or negative, that is

5x + 30 = 10x or - (5x + 30) = 10x

solving both

5x + 30 = 10x (subtract 5x from both sides )

30 = 5x ( divide both sides by 5 )

6 = x

or

- (5x + 30) = 10x

- 5x - 30 = 10x ( add 5x to both sides )

- 30 = 15x ( divide both sides by 15 )

- 2 = x

As a check

substitute these values into the equation and if both sides are equal then it is a solution.

x = 6

left side = | 5(6) + 30 | = | 30 + 30 | = | 60| = 60

right side = 10(6) = 60

Then x = 6 is a solution

x = - 2

left side = | 5(- 2) + 30 | = | - 10 + 30 | = | 20 | = 20

right side = 10(- 2) = - 20 ≠ 20

Thus x = - 2 is an extraneous solution

Answer:

table will be 7, 11, 15,19

Order pairs will be (1,7)(2,11)(3,15)(4,19)

the fifth term of the sequence will be 23

Step-by-step explanation:

4 (1)+3=7

4(2)+3=11

4(3)+3=15

4(4)+3= 19

4(5)+3=23

Hope this helps

Answer:

Kindly check attached picture

Step-by-step explanation:

A standard dice has 6 faces numbered {1,2,3,4,5,6}

For 2 dice, n = 2 ; sample space = n² = 6² = 36

The sum of the 2 upward facing dots:

{(1,1) (1,2) (1,3) (1,4) (1,5) (1,6);

(2,1 ) (2,2),(2,3),(2,4),(2,5),(2,6) ;

(3,1)(3,2)(3,3)(3,4)(3,5)(3,6);

(4,1)(4,2)(4,3) (4,4)(4,5)(4,6);

(5,1)(5,2)(5,3)(5,4)(5,5)(5,6);

(6,1)(6,2)(6,3)(6,4)(6,5)(6,6)}