Is 0.10 grater than or less than 0.1

Las cantidades de bolitas para cada una de las tres personas son las siguientes:

Amanda: 19 bolitas

Rodrigo: 15 bolitas

Patricio: 69 bolitas

En este problema tenemos a tres personas (Amanda, Rodrigo y Patricio) que se reparten 103 bolitas, en términos algebraicos, cada persona es representada por las siguientes ecuaciones:

Amanda

x = y + 4

Rodrigo

y

Patricio

z = 2 · (x + y) + 1

Total

x + y + z = 103

A continuación, determinamos la cantidad de bolitas asociada con Rodrigo:

x + y + 2 · (x + y) + 1 = 103

3 · x + 3 · y = 102

x + y = 34

y + 4 + y = 34

2 · y = 30

y = 15

Luego, determinamos las cantidades de bolitas de Amanda y Patricio:

x = 15 + 4

x = 19

z = 2 · (19 + 15) + 1

z = 2 · 34 + 1

z = 68 + 1

z = 69

El enunciado se encuentra escrito en español y el lenguaje de la respuesta es el mismo del enunciado.

The statement is written in Spanish and the language used in the answer is the same of the statement.

Para aprender más sobre sistemas de ecuaciones lineales: https://brainly.com/question/27891414

#SPJ1

Answer:

Para convertir una fracción (n/m) a un número entero tenemos que dividir el numerador entre el denominador. Es decir, el número que se encuentra expresado como n (parte superior) entre el número expresado como m (parte inferir).

Step-by-step explanation:

Answer:

Para convertir una fracción en un número entero: Divida el numerador por el denominador, solo si el numerador es un múltiplo del denominador. Veamos un ejemplo de esta conversión.

Step-by-step explanation:

tenemos 4/2

Dado que 4 es un múltiplo de 2, podemos escribir 4/2 = 2

Espero que esto ayude!

9414 1404 393

Answer:

  $1.80, 2.90, 4.00, 10.90

  not proportional

Step-by-step explanation:

For some distance d, we have a charge f(d) that is ...

  \(f(d)=\begin{cases}1.00&0\le d\le0.1\\1.00+0.10\cdot\dfrac{(d-0.1)}{0.10}&0.1<d\end{cases}\)

for d > 0.1, this simplifies to d +0.9.

Then the charges are ...

  \(\begin{array}{cc}\underline{\text{miles}}&\underline{\text{charge}}\\9/10&1.80\\2&2.90\\3\ 1/10&4.00\\10&10.90\end{array}\)

The different relation for the first 1/10 mile indicates ...

  the relationship is not proportional.

Being a girl and playing a sport are C. No, they are not independent events, because P(girl) 0.49 and P(girl plays a sport) ~ 0.62.

Let's consider the probabilities:

P(girl) = (number of girls) / (total number of students) = 135 / 275 ≈ 0.49

P(girl plays a sport) = (number of girls playing a sport) / (total number of students) = 76 / 275 ≈ 0.276

If being a girl and playing a sport were independent events, the joint probability would be the product of the individual probabilities:

P(girl) × P(girl plays a sport) ≈ 0.49 × 0.276 ≈ 0.13524

However, the actual joint probability is different from the expected value:

P(girl, plays a sport) ≈ 76 / 275 ≈ 0.276

Since the joint probability does not match the product of the individual probabilities, we can conclude that being a girl and playing a sport are not independent events based on the given data.

Therefore, option C. No, they are not independent, because P(girl) 0.49 and P(girl plays a sport) ~ 0.62. is the correct answer.

For more questions on events

https://brainly.com/question/29782219

#SPJ8

Answer:

x - 4 yards.

Step-by-step explanation:

Given:

Area of rectangle = 3x^2 - 12x square yards

Width = 3x yards

To find:

Length of rectangle

Solution:

The area of a rectangle is equal to the product of its length and width.

Area of rectangle = Length * Width

Substituting the given values, we get:

3x^2 - 12x = Length * 3x

Length =( 3x^2 - 12x )3x

Length = x-4

Therefore, the length of the rectangle is x - 4 yards.

Answer: The length of the rectangle is x - 4 yards.

Step-by-step explanation:

We can create an equation to solve this word problem, where the variable L = length.

3x  ×  L  = \(3x^2 - 12x\)

We need to solve for the variable L, to find the length of the rectangle.

First lets factor the right side of the equation to make it easier to divide with.

3x  ×  L  = \(3x^2 - 12x\)

We can factor out 3x from the right side of the equation.

3x  ×  L  = 3x(x - 4)

Now we need to get the variable L by itself (isolating the variable). In order to do that, we can divide both sides by 3x.

3x ×  L  = 3x(x - 4)

/3x           /3x

L = x - 4

The length of the rectangle is x - 4 yards.

Answer:

a) \(f(x) = \frac{1}{25.9}\)

b) 0.2046 = 20.46% probability the driving distance for one of these golfers is less than 290 yards

Step-by-step explanation:

Uniform probability distribution:

An uniform distribution has two bounds, a and b.

The probability of finding a value of at lower than x is:

\(P(X < x) = \frac{x - a}{b - a}\)

The probability of finding a value between c and d is:

\(P(c \leq X \leq d) = \frac{d - c}{b - a}\)

The probability of finding a value above x is:

\(P(X > x) = \frac{b - x}{b - a}\)

The probability density function of the uniform distribution is:

\(f(x) = \frac{1}{b-a}\)

The driving distance for the top 100 golfers on the PGA tour is between 284.7 and 310.6 yards.

This means that \(a = 284.7, b = 310.6\).

a. Give a mathematical expression for the probability density function of driving distance.

\(f(x) = \frac{1}{b-a} = \frac{1}{310.6-284.7} = \frac{1}{25.9}\)

b. What is the probability the driving distance for one of these golfers is less than 290 yards?

\(P(X < 290) = \frac{290 - 284.7}{310.6-284.7} = 0.2046\)

0.2046 = 20.46% probability the driving distance for one of these golfers is less than 290 yards

Answer:

\(\boxed{\begin{array}{c|c|c|c|c|c|c|c} \bf x &\rm -3 &\rm -2 &\rm -1 &\rm 0 &\rm 1 &\rm 2 &\rm 3 \\\\ \bf y & \rm 0 &\rm -4 &\rm -6&\rm -6 &\rm -4&\rm 2 &\rm 6 \end{array}}\)

Step-by-step explanation:

A quadratic function is given to us . And we need to fill out the table by using the function . The given function is ,

\(\rm\implies y = x^2+x - 6 \)

Here we need to substitute the different values of x , to get the different values of y.

Put x = -3 :-

\(\rm\implies y = 3^2-3-6\\ \)

\(\rm\implies y = 9 - 3 - 6 \\\)

\(\rm\implies y = 0 \)

Put x = -2 :-

\(\rm\implies y = 2^2-2-6\\ \)

\(\rm\implies y = 4 -2-6\\\)

\(\rm\implies y = -4 \)

Put x = -1 :-

\(\rm\implies y = -1^2-1-6\\\)

\(\rm\implies y = 1 -1-6 \\\)

\(\rm\implies y = -6 \)

Put x = 1 :-

\(\rm\implies y = 1^2+1-6\\ \)

\(\rm\implies y = 2 -6\)

\(\rm\implies y = -4\)

Put x = 2 :-

\(\rm\implies y = 2^2+2-6\\ \)

\(\rm\implies y = 4 +2-6\\ \)

\(\rm\implies y = 2\)

Put x = 3 :-

\(\rm\implies y = 3^2+3-6\\ \)

\(\rm\implies y = 9 +3-6\\ \)

\(\rm\implies y = 6 \)

Final table :-

\(\boxed{\begin{array}{c|c|c|c|c|c|c|c} \bf x &\rm -3 &\rm -2 &\rm -1 &\rm 0 &\rm 1 &\rm 2 &\rm 3 \\\\ \bf y & \rm 0 &\rm -4 &\rm -6&\rm -6 &\rm -4&\rm 2 &\rm 6 \end{array}}\)

Answer:

x/3 = 6/9

3 x 2 = 6

3 x 3 = 9

x = 2

Answer:

30,000

Step-by-step explanation:

150 x 200

Explanation:

To find the area you need to multiply the two numbers. Therefore, giving you your correct awswer.

Answer:

Base rate: $120

Rate: $2 per person

Equation: f(x)=2x+120

Step-by-step explanation:

If 30 people cost $180 and 50 people cost $220, the charge for 20 extra people is $40.  This means, \(\frac{220-180dollars}{50-30people}=\frac{40dollars}{20people}=2\frac{dollars}{person}\).

These values correspond to a base rate for the bus of $120.

The function for the cost per bus with x number of people on it would be:

\(f(x)=2x+100\)

This can be checked by using the values given in the problem:

\(f(30)=2(30)+120=180\\f(50)=2(50)+120=220\)

The base rate of $120 and $2 per person satisfies the given equation and established values.

Answer:

x=-3

Step-by-step explanation:

y-4=(3-4)/(-3-(-3))(x+3)

y-4=1/(-3+3)  (x+3)

y-4=1/0(x+3)

or x+3=0

x=-3

The equation for the parabola in the graph, in vertex-form, is.

y = (x - 2)²

Remember that for a parabola whose vertex is at (h, k) and the leading coefficient is a, is written as:

y = 1(x - h)² + k

Here, in the diagram, we can see that the vertex is at (2, 0), then we can write the parabola as:

y = (x - 2)² + 0

Also you can check that when x = 0, we have:

y = (0 - 2)² = 4

So the y-intercept is the same one that in the graph. The correct option is the last one.

Learn more about quadratic equations:

https://brainly.com/question/1214333

#SPJ1

Answer:

Multiply both sides by 3

Step-by-step explanation:

The best step would be to multiply both sides by 3 so that there are no fractions in the equation.

Answer: Subtract 10

Step-by-step explanation: Because you have to isolate x and since 10 with the fraction, you have to get rid of that in order to isolate it.

A ray from the vertex of the angle through the point where the two arcs intersect. This ray is a copy of the original angle.

The steps for constructing a copy of an angle:

Step 1: Draw the angle.

Step 2: Place the center of the protractor on the vertex of the angle.

Step 3: Line up the baseline of the protractor with one of the angle's rays.

Step 4: Read the degree measure where the other ray crosses the protractor.

Step 5: Draw a ray from the vertex of the angle to the right.

Step 6: Use a ruler to mark the same distance on the ray that was just drawn.

Step 7: Draw a ray from the vertex through the point just marked on the ray.

This is the copy of the angle's second ray.

Step 8: Use a compass to draw an arc centered at the vertex of the original angle that passes through one of the angle's rays.

Step 9: Without adjusting the compass, draw another arc that intersects the previous arc at a point.

Step 10: Draw a ray from the vertex through the point where the two arcs intersect.

This is the copy of the original angle.

Using a compass, draw an arc centered on the vertex of the original angle passing through one of the angle rays. Place the tip of the

compass on the vertex of the original angle and draw an arc that intersects one of the angle rays.

Draws another arc that intersects the previous arc at a point without adjusting the compass.

Draw a second arc that intersects the first arc at another point, keeping the compass latitude.

Using a ruler or ruler, draw a ray from the vertex of the angle through the point where the two arcs intersect. This ray is a copy of the original angle.

For more related questions on original angle.:

https://brainly.com/question/27243531

#SPJ8

The price of each of these be

A. Price  \(}=\left(\frac{100 \%-20 \%}{100 \%}\right) * 120=\frac{80}{100} * 120=96 \\\)

B. Price =\(\left(\frac{100 \%-20 \%}{100 \%}\right) * 750=\frac{80}{100} * 750=600 \\\)

C. Price \(=\left(\frac{100 \%-20 \%}{100 \%}\right) * 250=\frac{80}{100} * 250=200\)

The complete question is.

A shop gives 20% discount. What would the price of each of these be?

A dress market at Rs.120

A pair of shoes market at Rs.750

A bag market at Rs.250

To learn more about discount refer to:

https://brainly.com/question/1548141

#SPJ1

Answer:44

Step-by-step explanation:the two triangles are congruent , so we deduce from that the angle B=angle E =48

So, x+4=48 , x=44 degree

Rectangular coordinates are x = -3.5 , y = 7\(\sqrt{3}\)/2 by using the relation between rectangular and polar coordinates

What do you mean by rectangular coordinates?

Rectangular coordinates, commonly known as cartesian coordinates, are a way to represent graphs and show where points are located on a two-dimensional surface or in three-dimensional space.

The origin is the intersection of the two perpendicular axes that make up the Cartesian plane.

The xy plane is another name for the Cartesian plane.

Given polar coordinates are (-7,5π/3)

To change polar coordinates to recatngular coordinate use

x = rcosθ , y = rsinθ

here r = -7 and θ = 5π/3

x = -7cos5π/3 = -7 × 1/2 = -7/2 = -3.5

y = -7sin5π/3 = -7 × -\(\sqrt{3}\)/2 = 7\(\sqrt{3}\)/2

Therefore, rectangular coordinates are x = -3.5 , y = 7\(\sqrt{3}\)/2

To learn more about the rectangular coordinates from the given link.

https://brainly.com/question/4482652

#SPJ1

Answer:

The range is 19

Step-by-step explanation:

Answer:

the range is 19

Step-by-step explanation:

The equivalent value of {x} is equivalent to 2.046.

The cosine function (or cos function) in a triangle is the ratio of the adjacent side to that of the hypotenuse.

Given is the expression as -

cos(47) = x/3

We have the expression as -

cos(47) = x/3

{x} = 3 cos(47)

{x} = 3 x 0.682

{x} = 2.046

Therefore, the equivalent value of {x} is equivalent to 2.046.

To solve more questions on algebraic expression, visit the link below -

brainly.com/question/1041084

#SPJ2

The number of tickets which should be sold to $24 and $40 are 4500 and 1500 respectively.

Given, A 6000-seat theater has tickets for sale at $24 and $40.

How many tickets should be sold at each price for a sellout performance to generate a total revenue of $168,000 = ?

first, assign variables:

X = # of $24 tickets,  Y = # or $40 tickets

write equations based on the data presented:

"6000 seat theater..."

   X + Y = 6000 ...equation 1

"total revenue of 168,000"

The revenue from each type of ticket is the cost times the number sold, so:

  24X + 40Y = 168,000 .....equation 2

from equation 1:

   X = 6000 - Y

substitute this into equation 2:   (replace X with 6000-Y)

   24 (6000 - Y) + 40Y = 168,000

expand:

144,000 -24Y + 40Y = 168,000

rearrange and simplify:

    16Y = 168,000 - 144,000

    y = 24000/16

     Y = 1500

from equation 1:

     X = 6000 - 1500

     X = 4500

hence the number of tickets for sale at $24 should be 4500.

Learn more about Linear equations here:

brainly.com/question/26310043

#SPJ1

Answer:

Step-by-step explanation:

yes

Answer:

17/6 LMK if you need a different form.

Step-by-step explanation:

To determine whether the furnace will be adequate for a 1,400 square foot house with a 9-foot ceiling, we need to calculate the volume of the house and compare it to the volume the furnace is designed to heat.

The volume of the house can be found by multiplying the square footage by the ceiling height:

1,400 sq ft x 9 ft = 12,600 cubic feet

Since the furnace is designed to heat 10,000 cubic feet, and the house has a volume of 12,600 cubic feet, the furnace may not be adequate for heating the house. The furnace is not capable to heat the entire house.

Answer: 4000

Step-by-step explanation:

Answer:

Step-by-step explanation:

Area of right triangular base = ½ × 3.2 × 6 = 9.6 square yards

Volume = 96 × 2 = 19.2 cubic yards

Answer:

4 hours

Step-by-step explanation:

Each hour: 145.60/7 = 20.80

83.20/20.80 = 4

Answer:

a , b , d , e

Step-by-step explanation:

Answer:

x = 60

Step-by-step explanation:

33 + 87 + 60 = 180

:))

Answer:

x = 60

Step-by-step explanation: