i need help please m=0 b=3
y=

Complete question:

Para ingresar a la Universidad del Chocó se aplica una prueba de razonamiento que consta de 30 preguntas. Por cada respuesta correcta se asignan 5 puntos y por cada incorrecta (o no contestada) se restan 2 puntos. Si un participante obtuvo un puntaje de 94 puntos, ¿cuantas preguntas respondió bien?

Responder:

número de respuestas correctas = 22

Explicación paso a paso:

Dado lo siguiente:

Número total de preguntas = 30

Deje respuestas correctas = y; Respuestas incorrectas = n

Marca otorgada por y = 5

Marca deducida por n = 2

Si el total de preguntas = 30; luego

y + n = 30 - - - - (1)

Puntuación total obtenida = 94; luego

5y - 2n = 94 - - - (2)

De 1),

y + n = 30

y = 30 - n

Sustituya y = 30 - n en equ (2)

5 (30 - n) - 2n = 94

150 - 5n - 2n = 94

150 - 7n = 94

-7n = 94-150

-7n = - 56

n = 56/7

n = 8

Sustituir n = 8 en (1)

y + n = 30

y + 8 = 30

y = 30 - 8

y = 22

y = número de respuestas correctas = 22

n = número de respuestas incorrectas = 8

Usando un sistema de ecuaciones, se encuentra que el participante obtuve 22 respuestas correctas.

En el sistema, x es el número de respuestas correctas, con y siendo el número de respuestas incorrectas.

Total de 30 preguntas, o sea:

\(x + y = 30 \rightarrow y = 30 - x\)

5 puntos asignados por cada respuesta correcta, 2 restados por cada respuesta incorrecta. Puntaje de 94 puntos, o sea:

\(5x - 2y = 94\)

Considerando \(y = 30 - x\)

\(5x - 60 + 2x = 94\)

\(7x = 154\)

\(x = \frac{154}{7}\)

\(x = 22\)

El participante obtuve 22 respuestas correctas.

Un problema similar es dado en https://brainly.com/question/24646137

Answer:

\(25 - 22 = 3 \\ 27 - 25 = 2 \\ 30 - 27 = 3 \\ \)

no because the spaces aren't equals

Answer:

no po ang answer

Step-by-step explanation:

22+3=25

25+2=27

27+3=30

30+3=33

hindi po parehas ang mga pattern nil

Answer:

\(x=4\)

Step-by-step explanation:

\(3.9x + 1.4 = 17\)

Having a decimal is not very nice to deal with, so we multiply all sides by 10 to get rid of the decimals.

\(3.9x*10+1.4*10=17*10\)

\(39x+14=170\)

Subtract 14 from both sides:

\(39x+14-14=170-14\)

\(39x=156\)

Divide both sides by 39:

\(\frac{39x}{39}=\frac{156}{39}\)

\(x=4\)

Answer:

SSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS

Step-by-step explanation:

Its SSS

2x+10=14

x=2

Area: 14.4= 56

3x+16=25

3x=9

x=3

17x-1,7=37,4

17x=39,1

x=2,3

Answer:

a) 83,b) -4,c) 48,d) 16,e) 8

By applying Pythagorean's Theorem to the rectangular box, the length of this straw is equal to √113 inches.

In order to determine the length of this straw, we would apply Pythagorean's Theorem in finding the length of the diagonals of the rectangular box.

Mathematically, Pythagorean's Theorem is given by this mathematical expression:

c² = a² + b²

Where:

By applying Pythagorean's Theorem to the rectangular box, the first diagonal along its bottom and the second diagonal gives the length of this straw as shown below:

d₁² = l² + w²

d₂² = d₁² + h²

d₂² = (l² + w²) + h²

Substituting the given parameters into the formula, we have;

d₂² = (9² + 4²) + 4²

d₂² = (81 + 16) + 16

d₂² = 113

d₂ = √113 inches.

Read more on length of straw here: https://brainly.com/question/22205446

#SPJ1

The exact values of x for the equation 6x² + 5x - 6 = 0 algebraically is x = 1/3 or -3/2.

To solve the equation 6x² + 5x - 6 = 0 algebraically for the exact values of x, we can use the quadratic formula, which states that the solutions to ax² + bx + c = 0 are given by:

x = (-b ± √(b² - 4ac))/2a

In this case, a = 6, b = 5, and c = -6.

Substituting these values into the quadratic formula gives us:

x = (-5 ± √(5² - 4(6)(-6)))/2(6)

x = (-5 ± √(25 + 144))/12x = (-5 ± √169)/12

x = (-5 ± 13)/12T

he solutions are therefore:

x = (-5 + 13)/12 or x = (-5 - 13)/12

x = 1/3 or x = -3/2

Algebraically, the solution of the equation is x = 1/3 or -3/2.

Learn more about Quadratic formula:

https://brainly.com/question/1214333

#SPJ11

Answer:

This is how it should like like

The area of the surface is π square units.

We can use a surface integral to find the area of the surface. The surface integral of a scalar function f over a surface S is given by:

∬S f dS

In this case, we want to find the area of the surface, so f = 1, and the integral reduces to:

∬S dS

We can parameterize the surface S using cylindrical coordinates:

x = r cosθ

y = r sinθ

z = 2 - r cosθ - r sinθ

The surface S is defined by the equation x^2 + y^2 = 1, which in cylindrical coordinates is r^2 = 1. Therefore, the surface integral becomes:

∬S dS = ∫∫R ||rθ|| dr dθ

where R is the region in the rθ-plane that corresponds to the surface S.

To find the limits of integration for r and θ, we need to determine the bounds of the region R. Since r^2 = 1, we have r = 1 for all θ. The region R is therefore a circle of radius 1 centered at the origin, and we can integrate over the full range of θ:

∫0^2π ∫0^1 r dr dθ = π

Therefore, the area of the surface is π square units.

To learn more about surface integral visit: https://brainly.com/question/15177673

#SPJ11

Answer:

The domain is x ≥ − 2 and the range is AllRealNumbers

Step-by-step explanation:

Alrighty, first of all, the domain is the number or amount of x coordinates in the function. The range is the number or amount of y coordinates in the function. As we can see, the x coordinates stretch out towards the right starting from -2. We can include -2, so the domain would be x ≥ − 2.  The range would be AllRealNumbers because it streches out infinitely both upwards and downwards.

Answer:

f  ^ − 1  ( x  )  =  2 x /x − 1

Step-by-step explanation:

the top left one

Answer:

Delaney  solve for X by isolating it,  or getting it by it self

Step-by-step explanation:

5x−2(x+1)=1/4 (distribute the 2)

5x-2x - 2 = 1/4  (subtract 2x from 5x)

3x -2 +2 = 1/4 +2 (add 2 to both sides)

3x = 2_1/4  (put 2 &  1/4 together)

3x = 9/4 (convert 2_1/4 to  9/4)

\(\frac{1}{3}\)*3*x =  \(\frac{1}{3}\)*\(\frac{9}{4}\)  ( mutilply both sides by  1/3)

X = 3/4   (cross multiply )

There you go

X = \(\frac{3}{4}\)

Answer:

\(\huge\boxed{\bf\:x = \frac{3}{4}}\)

Step-by-step explanation:

\(5x - 2(x+1)=\frac{1}{4}\)

Use the distributive property for 2(x + 1).

\(5x - 2x - 2= \frac{1}{4}\)

Subtract 2x from 5x.

\(3x - 2= \frac{1}{4}\)

Bring 2 to the right hand side of the equation .

\(3x = \frac{1}{4} + 2\)

Add 1/4 & 2.

\(3x = \frac{1}{4} + \frac{8}{4} \: \: [LCM = 4]\\3x = \frac{9}{4}\)

Now, bring 3 to the right hand side of the equation .

\(x = \frac{9}{4} \times \frac{1}{3}\\x = \frac{9}{12}\\\boxed{\bf\:x = \frac{3}{4}}\)  

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

Step-by-step explanation:

a(n) = a +(n-1)d

a=-5

d=5

a(n) = -5 +(n-1)5

      =-5+5n-5

     =5n-10

a(50) = -5 +(50-1)5

        = 240

hope this helps

slope = 5/2

The points given: (3, 8)and (1, 3)

Using the slope formula:

The experiment's predicted outcome is that the markers will either be farther apart or closer together, proving that the tectonic plates are in fact moving and not static.

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.

An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

The likelihood that an event will occur increases with its probability.

A straightforward illustration is tossing a fair (impartial) coin.

The coin is fair, thus the outcomes "heads" and "tails" are equally likely; the likelihood of "heads" is equal to the likelihood of "tails"; and because there are no other conceivable outcomes, the likelihood of either "heads" or "tails" is 1/2 (which is also an acceptable spelling).

Hence, The experiment's predicted outcome is that the markers will either be farther apart or closer together, proving that the tectonic plates are in fact moving and not static.

learn more about probability click here:

brainly.com/question/13604758

#SPJ4

Answer:

C=110

Step-by-step explanation:

Angle C and the angle labeled 110  are alternate interior angles if the lines are parallel.  Alternate interior angles are equal

C=110

Answer: angle C = 110⁰

Ok done. Thank to me :3

Answer:

\(2x^2+7x+6=0\\\\2(x^2+\frac72x+3)=0\\\\2[x^2+2\cdot x\cdot\frac74+(\frac74)^2-(\frac74)^2+3]=0\\\\2[x^2+2\cdot x\cdot\frac74+(\frac74)^2]-2(\frac74)^2+6=0 \\\\2(x+\frac74)^2-2\cdot\frac{49}{16}+6=0\\\\2(x+\frac74)^2-\frac{49}8+\frac{48}8=0\\\\2(x+\frac74)^2-\frac18=0\)

Answer:

(x+7/4)^2=1/16

Step-by-step explanation:

Answer:

right triangle

Step-by-step explanation:

hope that helps!

Using simple mathematical operations, Following are the different solutions of the given problem.

1. Given,

3 red paper clips, 5 yellow paper clips, and 6 silver paper clips in a jar

Total paper clips = 3 + 5 + 6 = 14

ratio of the total number of paper clips to the number of red paper clips = 14 : 3

2. ratio equivalent to 3:5 × 5 = 15:25

3. A car travels 416 miles in 8 hours,

Speed of the car = Distance / time = 416 / 8 = 52 miles/hour

the car travel in 22 hours (distance) = speed × time = 52 × 22 = 1144 miles

4. 31 gallons of gas cost $82.15

the unit rate for 1 gallon of gas = 82.15 / 31 = $2.65 per gallon

5. the unit price for cantaloupe is $0.65 per pound

Sally pays $1.95 for a cantaloupe

pounds her cantaloupe weigh = $1.95 / $0.65 = 3 pounds

7 -

Given,

g/56 = 2/8

g = 14

8 -

The length of a dog on a scale drawing is 9 cm.

The scale is 1 cm:6 cm,

the actual length of the dog = 9 × 6 = 54cm

9 -

Distance between Spice Island and Kay Island is 3.4 inches,

1 inch = 25 miles

actual distance = 3.4 × 25 miles = 85 miles

10 -

Given,

2/9 = y / 27

y = 6

11 -

85% = 0.85

12 -

correct orders the set of numbers from greatest to least is -  0.2, 15%, start fraction 1 over 8 end fraction, 0.09

13 -

14 out of 20 people like chocolate milk,

percent of the people do not like chocolate milk = (20 - 14) / 20 × 100

= 30%

14 -

The original picture was 4 inches wide and 6 inches long.

The new copy is 16 inches wide.

4/6 = 16 / new length

new length = 16 × 6 / 4

Length of the new copy of the picture = 24 inches

15 -

38% of 150 = 38/100 × 150

= 57

16 -

26% of 81

26 / 100 × 81 = 21

18 -

original bill is $34.50

after paying a 15% tip

Total bill = $34.50 + 15/100 × $34.50 = $ 39.675

19 -

7% of $550 = 7/100 × 550 = $38.50

20 -

discount on a $120 bicycle that is on sale for 25% off -

25 / 100 × 120 = 30

120 - 30 = $90.00

To learn more about mathematical operations from given link

https://brainly.com/question/25828217

#SPJ1

The square root of 59 lies in between the square root of 49 and 64

The square root of 49 = 7

The square root of 64 = 8

Hence, it lies between 7 and 8

Answer: $326.625

Explanation:

The infromation that we have is:

Payment per hour: p = $9.75 (I will identify the payment per hour as "p").

He worls from 8:00 am until 3 pm from monday through thursday, this means that he works 7 hours on those days. But since he takes a half hour lunch break, we take half an hour from the 7 hours:

Each from monday trough thursday that he works, he does it for 6.5 hours.

Thus, the total amount of hours for this four days of the week is:

On Friday he works from 8:00 am to 4:00pm, that is 8 hours, as in the previus days, we substract half hour for his break:

So the total amount of hours that he works in the week is the sum of the 26 hours that he works from monday through thursday, plus the 7.5 hours that he works on friday:

h represents the amount of hours that he works in a week.

His total pay for the week "T" is:

The product between the number of hours and the payment per hour:

Answer: $326.625

Answer:

x=7.965784

Step-by-step explanation:

3/6 because absolute value of any number has to be positive and you have to subtract the 2 answers to find the distance

An equation of the line that passes through the point (7, 6), (7, 6), and has a slope of 0 is y = 6.

Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:

y - y₁ = m(x - x₁)

Where:

Based on the information provided, we can logically deduce the following data points on the line:

At data point (7, 6), a linear equation of this line can be calculated in slope-intercept form as follows:

y - y₁ = m(x - x₁)

y - 6 = 0(x - 7)

y = 6

Read more on slope here: brainly.com/question/3493733

#SPJ1

Answer:

24   +    28

2*2*2*3   +    2*2*7              [prime factors]

You may distribute any common ones, for example:

  4(6+7)              [that is, 2*2*(2*3 + 7)

  2(12+14)

Answer:

(0,4)

Step-by-step explanation:

The Y-axis is the vertical line. The y-intercept is where the function intersects at a point on the Y-axis.

Answer:

I think it is the first one you can solve the system using either substitution, elimination, or graphing and the get the same answer.

Step-by-step explanation: