¿Alguien sabe como resolver esta acertijo ?
Un conductor conduce una guagua/autobús de 56 personas, en una parada bajan 31 personas, en la siguiente suben 18 y en la siguiente bajan 16
¿ cuantos años tiene el conductor ?

Answers

Answer 1

Con base en el uso de simbología para el acertijo, la edad del conductor es 27 años.

¿Cómo determinar la edad del conductor según el acertijo?

Los acertijos no deben ser entendidos literalmente, sino simbólicamente. Cada elemento representa algo figurativo.

Este acertijo parece incoherente debido a estar incompleto y es preciso añadir un criterio adicional que permita brindar sentido al contenido, este criterio es asumir que un pasajero simboliza un año, que el autobús simboliza al conductor, que el ingreso de un pasajero implica sumar un año a la edad del conductor, que el egreso de un pasajero implica restar un año a la edad del conductor y que la población resultante dentro del autobús es la edad del conductor.

En consecuencia, efectuamos la siguiente operación para determinar la edad del conductor:

x = 56 - 31 + 18 - 16

x = 27

El conductor tiene una edad de 27 años.

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Related Questions

Can someone help me with this please?

Answers

The volume of the rectangular prism is the 75 ft cube.

How to find the volume of a prism?

The prism below is a rectangular prism.

A rectangular prism is a three-dimensional shape, having six faces, where all the faces (top, bottom, and lateral faces) of the prism are rectangles such that all the pairs of the opposite faces are congruent.

The volume of a rectangular prism can be express as follows:

Volume of a rectangular prism = base area × height

Therefore,

base area of the prism = 25 ft²

height of the prism = 3 ft.

Hence,

Volume of the rectangular prism = 25 × 3

Volume of the rectangular prism = 75 ft³

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Identify the y intercept of this line b

Answers

Answer: b= (0,4)

Step-by-step explanation:

The 'b' value in a line is the y-int. of a linear equation. That means you need to determine where the linear equation intersects with the y-axis. In this scenario it intersects at the point (0,4)

X doesn’t go over to ether side so u stay on 0 and for y you go up so the point b would be (0,4)

16. Points X, Y, and Z are collinear, and Y is
the midpoint of XZ. Find the value of b.

Answers

Answer:

12=b

Step-by-step explanation:

2b+7=3b-4 is what your gonna do ti solve the problem because both segments have the same length. Then you solve for b by -2b from each side. Then it will become 7=b-4. Add 4 to the seven to get 12=b

what is ( 7 5/6 - 5 1/3 ) +1 1/9?

Answers

Answer:

i don't know

Step-by-step explanation:

Demi starts a gardening project with 80 sunflower seeds. She plants 12 of the
seeds. Then she gives 5 seeds each to some friends. Which expression represents
the number of sunflower seeds Demi has left after she gives seeds to f friends?
f
5
C 80 12-5-f
A 80-12-
B 80-12-
D 80-12-5f

Answers

D. 80 - 12 - 5f

5f represents the 5 seeds she gives to each of her (unspecified number of) friends. 12 represents the 12 seeds she planted.
Since she is getting rid of those seeds, they are subtracted from the beginning total of 80.

Which graph represents the system of equations –3x + y = 3 and –x + 2y = –4?

Answers

The graph represents the system of equations -3x + y = 3 and -x + 2y = -4 is option (b) On a coordinate plane, 2 lines intersect at (negative 2, negative 3).

The system of equation are

-3x + y = 3

-x + 2y = -4

Here we have to use the substitution method

-3x + y = 3

y = 3 + 3x

Substitute the value of y in the second equation

-x + 2(3 + 3x) = -4

-x + 6 + 6x = -4

-x + 6x = -4-6

5x = -10

x = -10/5

x = -2

Substitute the value of x in the first equation

-3x + y = 3

-3(-2) + y = 3

6 + y = 3

y = 3 - 6

y = -3

Hence, the graph represents the system of equations -3x + y = 3 and -x + 2y = -4 is option (b) On a coordinate plane, 2 lines intersect at (negative 2, negative 3).

The complete question is:

Which graph represents the system of equations –3x + y = 3 and –x + 2y = –4?

a) On a coordinate plane, 2 lines intersect at (3, 0).

b) On a coordinate plane, 2 lines intersect at (negative 2, negative 3).

c) On a coordinate plane, 2 lines intersect at (negative 1.5, 1).

d) On a coordinate plane, 2 lines intersect at (1.5, 2.5).

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Answer:

B

Step-by-step explanation:

both point intersect at ( -2, -3)

What are the like terms in the expression 8 + x squared minus 4 x cubed + 5 x + 2 x squared?
8, 5 x
x squared, 2 x squared
8, 5 x 2 x squared
x squared, Negative 4 x cubed, 2 x squared

Answers

In the expression, 8 + x squared minus 4 x cubed + 5 x + 2 x squared.

2x^2 and x^2 are the like terms

How to find the like terms in the expression

The given expression is 8 + x squared minus 4 x cubed + 5 x + 2 x squared

This is rewritten as

8 + x^2 - 4x^3 + 5x + 2x^2

The terms in the expression are grouped as

constant terms: 8

terms with x variable : 5x

terms with x^2 variables: 2x^2 and x^2

terms with x^3 variables: 4x^3

Like terms refers to terms that are similar either as a constants or have same variables

Hence the like terms in the expression is 2x^2 and x^2

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20 percent of all printers of a certain type are submitted for service under waranty. of these, 60 percent can be repaired and 40 percent must be replaced. if a company buys 10 such printers, what is the probability that exactly two will be replaced under warranty.

Answers

The probability that exactly two will be replaced under warrant is 0.1937.

Define probability.

The possibility of an event occurring is determined by the probability formula. The ratio of positive outcomes to the total number of outcomes serves as the basis for calculating an event's probability. The probabilities are always between 0 and 1. A probability is a number that expresses the possibility or likelihood that a specific event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.

Given,

W = Warranty

V = Replaced

P(W) = 20/100

P(W) = 0.20

P(U/W) = 0.40

P(W ∩ U)

= P(U/W) × P(W)

= 0.40 × 0.20

0.-08

P( exactly two will be replaced under warranty)

Using binomial distribution:

= P(X = 2)

= 10/2 (0.0.8)² (0.9)⁸

= 0.1937

The probability that exactly two will be replaced under warrant is 0.1937.

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A small publishing company is planning to publish a new book. Let C be the total os of publishing the book(in dollars). Let N be the number of copies of the book produced. For the first printing, the company can produce up to 300 copies of the book. Suppose that c=20N+500 gives C as function of N during the first printing.

The set of vale is the same for both.

Answers

The cost of publishing the 300 copies of the book is $6500.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that a small publishing company is planning to publish a new book. Let C be the total os of publishing the book(in dollars). Let N be the number of copies of the book produced. For the first printing, the company can produce up to 300 copies of the book. Suppose that c=20N+500 gives C as a function of N during the first printing.

The cost of 300 copies will be calculated as,

c=20N+500

c = ( 20 x 300 ) + 500

c = 6000 + 500

c = 6500

Therefore, the cost of publishing the 300 copies of the book is $6500.

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Ada lives 12 4/5 miles from her aunt's house. she lives 17 3/8 miles from her grandmother's house. how many more miles does jada live from her grandmother's house than her aunt's house?

Answers

Answer:

[tex]4 \frac{23}{40}\; \rm miles[/tex]

Step-by-step explanation:

To find how many more miles Ada lives from her grandmother's house than her aunt's house, we need to subtract the distance to her aunt's house from the distance to her grandmother's house.

Ada lives 17 3/8 miles from her grandmother's house.

Ada lives 12 4/5 miles from her aunt's house.

Convert both mixed numbers into improper fractions by multiplying the whole number by the denominator of the fraction, adding this to the numerator of the fraction, and placing the answer over the denominator:

[tex]17 \frac{3}{8}=\dfrac{17 \cdot 8+3}{8}=\dfrac{139}{8}[/tex]

[tex]12 \frac{4}{5}=\dfrac{12 \cdot 5+4}{5}=\dfrac{64}{5}[/tex]

As both improper fractions have a different denominator, we need to change both fractions into equivalent fractions with the same denominator. To do this, find the least common multiple (LCM) of the denominators, 8 and 5.

The LCM of 8 and 5 is 40. Therefore, convert the fractions into their equivalent fractions (with 40 as their denominator) by multiplying the numerator and denominator by the same number:

[tex]\dfrac{139}{8}=\dfrac{139 \cdot 5}{8 \cdot 5}=\dfrac{695}{40}[/tex]

[tex]\dfrac{64}{5}=\dfrac{64 \cdot 8}{5 \cdot 8}=\dfrac{512}{40}[/tex]

Now the fractions have the same denominator, we can carry out the subtraction by simply subtracting the numerators:

[tex]\dfrac{695}{40}-\dfrac{512}{40}=\dfrac{695-512}{40}=\dfrac{183}{40}[/tex]

Finally, convert the improper fraction into a mixed number by dividing the numerator by the denominator:

[tex]183 \div 40=4\;\rm remainder \;23[/tex]

The mixed number answer is the whole number and the remainder divided by the denominator:

[tex]4 \frac{23}{40}[/tex]

Therefore, Ada lives 4 23/40 miles more from her grandmother's house than her aunt's house.

passes through A (2, "-5)" parallel to BC with (1, 3) and ( 4, 5) PLS HURRRY!!!!!

Answers

The equation for the linear equation parallel to BC is:

y = (2/3)*x - 19/3

How to get the linear equation?

A general linear equation is written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If the line passes through two points (x1, y1) and (x2, y2), then the slope is:

slope = (y2 - y1)/(x2 - x1)

And two lines are parallel if both lines have the same slope and different y-intercept.

So if we want to et a line parallel to BC whose endpoints are (1, 3) and ( 4, 5), the slope should be:

slope = (5 - 3)/(4 - 1) = 2/3

So our line is like:

y = (2/3)*x + b

And this must pass through (2, -5)

Replacing these values we get:

-5 = (2/3)*2 + b

-5 - 4/3 = b

-15/3 - 4/3 = b

-19/3  =b

Then the linear equation is:

y = (2/3)*x - 19/3

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Robin's bank account has $1,876. Every month she withdraws $30 for her phone payment. Create an equation to describe how
much money she will have after a certain amount of months. Write the equation for this problem in function notation. Then
interpret how much money Robin will have after 6 months of payments. Make sure to define your variables and show all of your
work.

Answers

Answer: M = 1876 - 30n  will give the amount of Money (M) remaining after n months of withdrawing exactly $30 per month, PROVIDED NOTHING ELSE IS EVER ADDED TO OR WITHDRAWN FROM THE ACCOUNT.  (Not very realistic.)

Use n=6 to provide the balance after 6 months.

Step-by-step explanation:

in the simple linear regression equation , the term b0 represents: a. estimated or predicted response b. estimated intercept c. estimated slope d. explanatory variable

Answers

In the simple linear regression equation , the term b0 represents b) Estimated intercept

Define estimated intercept.

The expected mean value of Y when all X=0 is the intercept, also referred to as the constant. Create a regression equation with X as the only predictor to begin. The expected mean value of Y at that value is the intercept in the event that X occasionally equals 0. When x is 0, the projected value for y—the intercept of the regression line—is simply 0. A line's slope and intercept can be expressed in terms of the equation y = slope x x + intercept. The Value of Interception The point where the function crosses the y-axis is known as the intercept and is frequently denoted as a constant. In some analyses, removing the intercept and reducing the regression line to Y = bX + error causes the regression model to only become significant.

Given,

In the simple linear regression equation , the term b0 represents:

b) Estimated intercept

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Simplify the expression:
3(3+5g)

Answers

The value of the expression 3(3+5g) is 9 + 15g.

What is an expression?

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.

In this case, we want to simplify 3(3 + 5g)

It's important to open the parentheses. This will be:

=3(3 + 5g)

= 9 + 15g

Therefore, the value is 9 + 15g.

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suppose that when a transistor of a certain type is subjected to an accelerated life test, the lifetime x (in weeks) has a gamma distribution with mean 24 weeks and standard deviation 12 weeks. (a) what is the probability that a transistor will last between 12 and 24 weeks? (b) what is the probability that a transistor will last at most 24 weeks? (c) is the median of the lifetime distribution less than 24? why or why not?

Answers

The probability that the transistor will last between 12 and 24 weeks is 0.424

the probability that a transistor will last at most 24 weeks is 0.567

The median of the lifetime distribution is less than 24

X= lifetime of the transistor in weeks E(X)= 24 weeks

O,= 12 weeks

The anticipated value, variance, and distribution of the random variable X were all provided to us. Finding the parameters alpha and beta is necessary before we can discover the solutions to the difficulties.

a) X~gamma([tex]\alpha , \beta[/tex])

E(X)= [tex]\alpha \beta[/tex]             [tex]\beta[/tex] =[tex]12^{2}/24[/tex] =6 weeks

V(x)=[tex]\alpha \beta ^{2}[/tex]                 [tex]\alpha[/tex]=24/6= 4

Now we can find the solutions:

The excel formula used to create Figure one is as follows:

=gammadist(X,[tex]\alpha[/tex] ,[tex]\beta[/tex] , False)

P([tex]12\leq X\leq 24[/tex])

P([tex]12/6 \leq X\leq 24/6[/tex])

P([tex]2\leq X\leq 4[/tex])

P= 0.424

Therefore, the probability that the transistor will last between 12 and 24 weeks is 0.424

b) For this case we want this probability:

[tex]P(X\geq 24)=1-P(X\leq 24)[/tex]

In order to find this probability we can use excel with the following code:

=1-GAMMA.DIST(24,4,6,TRUE)

And we got:

[tex]P(X\geq 24)=P(1-X\leq 24)= 0.567[/tex]

c) For this case the median of the lifetime distribution is less than 24

[tex]P(X\leq \alpha )[/tex] = 0.5  (by definition)    So [tex]\alpha[/tex]< 24 because P([tex]X\leq 24[/tex])=0.567 which is greater than 0.5

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5/3=?x1/3
help please ASAP

Answers

The value of x is 5 for the given equation 5/3 = x/3.

What do we mean by equations?A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions. A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.

So, the equation is:

5/3 = x/3

Now, solve for x as follows:

5/3 = x/33x = 5 × 3 (Cros multiply)3x = 15x = 15/3x = 5

Therefore, the value of x is 5 for the given equation 5/3 = x/3.

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Correct question:

Solve for x. 5/3= x/3

Colette is considering switching to a cell phone plan with unlimited texting. She currently
pays $38 per month for service, plus $0.20 per text. That adds up fast!
Write an equation that shows how the total monthly cost, y, depends on the number of texts,
X.
Do not include dollar signs in the equation.
y =

Answers

Answer:

y= 38 + 0.20x

The equation will be y=38+0.20x where x is the number of texts and y is in dollars.

What is equation?

An equation is a relationship between the variables and constants representing how they are related to each other. It includes equal to "=" sign.

It is known that the fixed payment is of $38 and each text costs $0.20.

Assume Colette sends x texts in a month and y be the total cost.

Determine the monthly cost equation.

Total cost= Fixed cost+ x(cost of each text)

y=38+0.20x

So, the total monthly cost will be represented by the equation, y=38+0.20x.

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the table below gives the annual sales (in millions) of a product. year 1998 1999 2000 2001 2002 2003 2004 2005 2006 sales 273 327 369 399 417 423 417 399 369 what was the average rate of change of annual sales a) between 2001 and 2002 millions of dollars/year b) between 2001 and 2006 millions of dollars/year

Answers

Main answer:

a) 18 millions of dollars/year

b) 6 millions of dollars/year

Step-by-step explanation:

a) the average rate of change of annual sales between 2001 and 2002 millions of dollars/year

Average rate = (Final year - Initial year) / (Sales on Final year - Sales on Initial year)

                     = (417 - 399) / (2001 - 2002)

                     = 18 / 1

                     = 18 millions of dollars/year

b) the average rate of change of annual sales between 2001 and 2006 millions of dollars/year

Average rate = (Final year - Initial year) / (Sales on Final year - Sales on Initial year)

                      = (369 - 399) / (2006 - 2001)

                      = 30 / 5

                      = 6 millions of dollars/year

The average rate of change of annual sales between 2001 and 2002 is 18 millions of dollars/year ,  between 2001 and 2006 is 6 millions of dollars/year

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A (8,4)
B (4,3)
C (4,-9)
D(2,-1)

please explain your answer!!! ​

Answers

Neither.

Parallel lines (when the line continues), never intersects. Perpendicular lines intersect and create a 90 degree angle.

The angle created by the lines intersect but do not create a 90 degree angle.

Find the quadratic using the graph.

Answers

Step-by-step explanation:

the standard form is

f(x) = y = a(x - h)² + k

(h, k) are the vertex coordinates. here (-2, -9).

a is the stretch factor.

since the parabola opens upwards, a is positive.

so, we see already :

y = a(x + 2)² - 9

to get a we need an additional point on the curve. we see e.g. (1, 0) :

0 = a(1 + 2)² - 9 = a×3² - 9 = 9a - 9

9a = 9

a = 1

so, our standard form is

f(x) = (x + 2)² - 9

Determine the distance between the points (−2, −3) and (2, 0). 2 units 4 units 5 units 10 units

Answers

The distance between two points on a 2D coordinate plane can be found using the following distance formula. d = √ (x 2 - x 1) 2 + (y 2 - y 1) 2. where (x 1, y 1) and (x 2, y 2) are the coordinates of the two points involved. The order of the points does not matter for the formula as long as the points chosen are consistent.

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Answer:

it is 5 units!

How do you find the distance between the points shown? (C: 6, -4) and (D: 6, -8)

A. Subtract the distance between each point and the x-axis
B. Add the distance between each point and the x-axis
C. Subtract the distance between each point and the y-axis
D. Add the distance between each point and the y-axis

Answers

Answer:

A. Subtract the distance between each point and the x-axis.

Step-by-step explanation:

As the two points have the same x-coordinate, x = 6, it means they lie on the vertical line x = 6.

Therefore, the distance between the points can be found by subtracting the distance between each point and the x-axis.

In the given example, the points are C(6, -4) and D(6, -8).

To find the distance between a point and the x-axis, we simply take the absolute value of the y-coordinate of the point:

Distance between point C and the x-axis = |-4| = 4

Distance between point D and the x-axis = |-8| = 8

Subtracting the distances, we get:

Distance = 8 - 4

Distance = 4

Therefore, the distance between points C and D is 4 units.

¿Cuál será el monto que se pagará por un préstamo de $200,000 a una tasa de interés del 36% si se negocia pagarlo en 2 años? C = $200,00

Answers

El interés junto con el préstamo de $ 200,000 tiene un monto de $ 8,080.

¿Cuánto debe pagar el usuario por un préstamo tras un plazo de dos años?

En este problema tenemos el caso de una persona que pide prestado $ 200,000 a una tasa de interés anual de 36 %, cuyo pago se realiza tras un plazo de dos años de realizarse el préstamo. Asumimos, que la deuda se genera por interés compuesto, esto es, un interés acumulativo. El interés compuesto es descrito mediante la siguiente fórmula:

I = C' · [(1 + r / 100)ⁿ - 1]

Donde:

C' - Dinero prestado, en unidad monetaria.I - Intereses a pagar, en unidad monetaria.r - Tasa de interés, en porcentaje.n - Número de plazos, en años.

Si sabemos que C' = 200,000, r = 36 y n = 2, entonces el interés a pagar al final del plazo es:

I = 200,000 · [(1 + 2 / 100)² - 1]

I = 8080

El interés a pagar es $ 8080, además del préstamo de $ 200,000.

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Evaluate -7(x - 4y) when x = -4 and y = -6.
A 140
B 52
C-28
D-140​

Answers

Answer: D

Step-by-step explanation:

Take the equation and substitute the variables for the numbers given

-7(-4-4(-6))=-140

Hope this helps :)

four vehicles are traversing a 1-km segment of a highway and the following observations are made: vehicle a: 1.2 min vehicle b: 1.5 min vehicle c: 1.7 min vehicle d: 1.4 min what is the space-mean speed?

Answers

Using the concept of average speed we conclude that the space-mean speed of the vehicles is 0.69 km/min.

What is space-mean speed?

The average speed of a vehicle traveling a given segment of a highway in a specific time period is called space-mean speed, i.e.

Average mean speed = total distance traveled / average time travel

Given for vehicles are traversing a 1 km segment of highway. Hence total distance is 4km.

Average time = (1.2 + 1.5 + 1.7 + 1.4)/4

= 5.8/4

= 1.45 min

Now Average mean speed = 1/1.45

=0.689

=0.69 km/min

Hence the space-mean speed of the vehicles is 0.69 km/min

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Graph the image of the given triangle after the transformation that has the rule (x, y) −> (x - 1, y+5) .​

Answers

Answer:

I do not see the original triangle, but you would take the original and move it one unit to the left and 5 units up.

Step-by-step explanation:

For example, if the three vertices (corners) of the triangle were points:

(0,0), (1,5) and (-2,3).

Point (0,0) would move to (-1, 5)  0-1 and 0+5

Point (1,5) would move to (0, 10)

Point (-2,3) would move to (-3, 8)

Answer:

To graph the image of the triangle after the transformation, we first need to have the coordinates of the vertices of the original triangle. Once we have those coordinates, we can apply the transformation to each vertex to obtain the coordinates of the corresponding vertex in the transformed image. Then, we can plot the three transformed vertices to obtain the image of the triangle.

Let's say the original triangle has vertices A, B, and C with coordinates A(x1, y1), B(x2, y2), and C(x3, y3), respectively.

To obtain the transformed coordinates of A, we apply the transformation rule (x, y) → (x - 1, y + 5) to the coordinates of A:

A' = (x1 - 1, y1 + 5)

Similarly, we can obtain the transformed coordinates of B and C:

B' = (x2 - 1, y2 + 5)

C' = (x3 - 1, y3 + 5)

Now that we have the transformed coordinates of the three vertices, we can plot them to obtain the image of the triangle.

Here's an example:

Suppose the original triangle has vertices A(2, 4), B(5, 6), and C(7, 3). Applying the transformation rule (x, y) → (x - 1, y + 5) to each vertex gives us:

A' = (2 - 1, 4 + 5) = (1, 9)

B' = (5 - 1, 6 + 5) = (4, 11)

C' = (7 - 1, 3 + 5) = (6, 8)

Plotting these three points gives us the image of the triangle after the transformation:

Before transformation:

B (5, 6)

/ \

/ \

A (2, 4) C (7, 3)

After transformation:

B' (4, 11)

/ \

/ \

A' (1, 9) C' (6, 8)

Here's what the image of the transformed triangle would look like on a graph:

|

|

C' | B'

|

---------|--------

|

A' |

|

simplify


2√3/16-√75/16+2√27/16​

Answers

Answer:

3.24759526401

Step-by-step explanation:

divide that

P is inversely proportional to Q.

P= 10 when Q = 1.2

a) Work out the value of P when Q = 2.

b) Work out the value of Q when P = 1.25

Answers

Answer:

P = 10

Q=12

[tex]p = \frac{1}{q} [/tex]

a). p = 1/2 = 0.5

b). 1.25 = 1/Q

Q = 1/1.25 Q = 0.8

Answer:

P=6

Q= 9.6

Step-by-step explanation:

A)

y=k/x

substitute it in.

10=k/1.2

10×1.2=k

k=12

y=12/x

x=2

12/2=6

P=6.

B)

Since we know y=kx

we know k=12

you would do 12/1.25 to give u Q

12/1.25=9.6

please help me with this problem, i will give u brainliest. mLNM=…

Answers

Check the picture below.

the equation 32divided ? =8 she says the value of ? is 4 does ella answer make sense ?

Answers

Ella answer makes sense because the value of  ? is 4

How to determine the value of ? in the equation make sense?

Given: the equation 32 divided ? =8 she says the value of ? is 4

32 / ? = 8    

Let x represent ? in the equation, thus:

32 / x = 8         cross multiply

8x = 32

x = 32/8

x = 4

Since x = 4. This implies ? = 4

Also, the value that divides 32 to give is 4

Since the value of ? is 4. Therefore, Ella's answer makes sense

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