Answer:
Teodolindo obtuvo 22 respuestas correctas y 8 respuestas incorrectas o no contestadas.
Step-by-step explanation:
Un sistema de ecuaciones lineales, también conocido como sistema lineal de ecuaciones o simplemente sistema lineal, es un conjunto de ecuaciones lineales (es decir, un sistema de ecuaciones en donde cada ecuación es de primer grado), en el cual se relacionan dos o más incógnitas.
En los sistemas de ecuaciones, se debe buscar los valores de las incógnitas, con los cuales al reemplazar, deben dar la solución planteada en ambas ecuaciones.
En este caso se debe establecer un sistema de ecuaciones, donde las variables son:
x: cantidad de respuestas correctasy: cantidad de respuestas incorrectas o no contestadasSiendo 30 preguntas en el examen, se tiene la ecuación:
x + y= 30
Por cada respuesta correcta se obtenían 5 puntos y por cada respuesta incorrecta o pregunta no contestada, se perdían 2 puntos. Teodolindo obtuvo 94 puntos en este examen. Entonces se representa esta situación mediante la expresión:
5*x - 2*y= 94
Entonces el sistema de ecuaciones a resolver es:
[tex]\left \{ {{x+y=30} \atop {5*x-2*y=94}} \right.[/tex]
El método de sustitución consiste en despejar o aislar una de las incógnitas (por ejemplo, x ) y sustituir su expresión en la otra ecuación. De este modo, obtienes una ecuación de primer grado con la otra incógnita, y . Una vez resuelta, calculas el valor de x sustituyendo el valor de y calculado.
Entonces, despejando el valor de x de la primer expresión obtienes:
x= 30 -y
Reemplazando en la segunda ecuación obtienes:
5*(30 -y) - 2*y= 94
Resolviendo:
5*30 - 5*y - 2*y= 94
150 - 5*y - 2*y= 94
- 5*y - 2*y= 94 -150
-7*y= -56
y= (-56)÷(-7)
y= 8
Reemplazando el valor de y obtenido en la expresión x= 30 -y se obtiene:
x= 30 - 8
x=22
Teodolindo obtuvo 22 respuestas correctas y 8 respuestas incorrectas o no contestadas.
You practice some free throws. During one practice, you make 48 baskets and you miss 12. What percent of the total shots did you make?
A metal bar has a mass of 960g and a volume of 120cm³. Find the density of the metal in the bar.
Answer:
Density = 8g/cm³
Step-by-step explanation:
Density = Mass/Volume
Given the following
Mass = 960g
Volume = 120cm^3
Substitute
Density = 960g/120cm^3
Density = 8g/cm³
You must show all your work to credit
In triangle ABC below , which is the longest side?
Answer:
the longest side is AC
Step-by-step explanation:
The longest side will be opposite the largest angle.
4x+(2x-6) + (4x-4) = 180 (all triangle interior angles add up to 180 degrees)
simplify:
10x - 10 = 180
10x = 190
c= 19
angle B = 4(19) = 76 degrees
angle A = 2(19) - 6 = 32 degrees
angle C = 4(19) - 4 = 72 degrees
so the longest side is AC
I’m working on circumferences,area,diameter and radius of circles and I need help to find/calculate and how to use the methods
Answer:
Circumference of a circle is 2 pie r
Area of a circle is pie r^2
Diameter is 2radius, that is radii makes up a diameter
Radius of a circle is half of the diameter
Please mark as brainliest
What is the upper quartile of the box and whisker?
A. 70
B. 55
C. 40
D. 90
Answer:
BBBBBBBBBBBBBBBBBBBB
What is the slope of the line for (-9, -3) (-7, -5)
Answer:
0
Step-by-step explanation:
-7+-3
0
ueewowwwyhkfi9hwhwiw
Sadiq measured the dimensions of a 1 kg bag of sugar and found the length was 9.2 cm, the width was 6 cm and the height was 14.1 cm.
Calculate the density of the sugar in g/cm3
Answer:
[tex]d=1.28\times 10^{-6}\ g/cm^3[/tex]
Step-by-step explanation:
The mass of a bag of sugar, m = 1 kg = 0.001 g
Length of bag, l = 9.2 cm
Width of bag, b = 6 cm
Height of the bag, h = 14.1 cm
We need to find the density of the sugar bag.
Density = mass/volume
So,
[tex]d=\dfrac{0.001\ g}{9.2\times 6\times 14.1\ cm^3}\\\\d=1.28\times 10^{-6}\ g/cm^3[/tex]
So, the density of the bag is [tex]1.28\times 10^{-6}\ g/cm^3[/tex].
help me please..........
Answer:
oof thats hard
Step-by-step explanation:
Which of the following inequalities is correct?
-10 > |-10|
-9 ≥ -7
0 < -13
6 ≤ |-6|
help
PLEASEEEEEEEEEEEEEE HELPPPPPPP PLEASEEEEEE !!!!
Answer:
[tex]x=\frac{\sqrt{2}}{2}[/tex]
Step-by-step explanation:
The given triangle is an isosceles right triangle, meaning that the 45-45-90 triangle side rule applies. The 45-45-90 triangle side rule states that the two legs (sides that are adjacent to the right angle) are congruent, and the hypotenuse (the side opposite the rights angle) is equal to the leg times the square root of two. Using this property, one knows that the leg is equal to the hypotenuse divided by the square root of two. In this problem, the hypotenuse is equal to (1), and the leg is equal to (x). Therefore, one can say,
[tex]x = \frac{1}{\sqrt{2}}[/tex]
Rationalize the denominator,
[tex]\frac{1}{\sqrt{2}}*\frac{\sqrt{2}}{\sqrt{2}}\\\\\frac{\sqrt{2}}{2}[/tex]
Answer:
Step-by-step explanation:
a² + b² = c² look familiar? it is the Pythagorean theorem
both side are the same length since both angles are the same some sort of Isosceles triangle rule I think so side 1 = x side 2 = x and hypotenuse = 1
x² + x² = 1²
2x² = 1
x² = 1/2
x = √(1/2) the denominator is NOT rational in this FORM
x = √1 / √2 multiple the numerator and the denominator by √2
x = 1 (√2) / (√2)(√2)
x = √2 / √2²
x = √2 / 2 finding a rational denominators means nothing
just do more work and more typing for me,
a silly MATH rule
x = √2/2 = 0.7071 x = √(1/2) = √(0.5) = 0.7071 the SAME Number
sorry, my rant of the day
Hi I need help with this hope someone has the answer.A triangular window is above the door to a café. The length of the base of the window is 12 feet, and the height is 10 feet
What is the area of the window?
Answer:
the answer is 60
Step-by-step explanation:
12×10=120
120÷2=60
Step-by-step explanation:
Sample Response: The height of the triangle will be twice the height of the rectangle. The area of a triangle is ½ bh and the area of a rectangle is bh. If the bases are the same, then the height of the triangle has to be double that of the rectangle in order to get the same area.
A refrigerator has a marked price of $5000. Mr. Jones bought it on hire purchase for $7500. What is the extra cost Mr. Jones paid as a percentage of the cash price? *
A) 66.6%
B) 33.3%
C) 50%
D) 75%
khan academy help! will give out brainliest answer
Answer:
A
Step-by-step explanation:
Answer d
because if we use option a then second part of the question will not satisfy
if we use option b then first part will not satisfy
hence.this question has no solution
Consider this system of equations.
f(x)=x−4g(x)=−x−2
Plot the point that represents the solution to the equation f(x)=g(x).
We are given two functions.
[tex]f(x)=x-4\\g(x)=-x-2[/tex]
The point that represents the equation [tex]f(x)=g(x)[/tex], will also be the intersection of those two lines, meaning we can set the two equations equal to each other and solve for [tex]x[/tex].
[tex]f(x)=g(x)\\x-4=-x-2\\2x=2\\x=1[/tex]
Now that we are given the x value, we can plug this value back into either equation and solve for the y value.
[tex]f(1)=1-4\\f(1)=-3[/tex]
The point of intersection will be [tex](1,-3)[/tex].
Hope this helps!
Answer:
x=-1
Step-by-step explanation:
x-4=-x-2
x+x=-2+4
2x=-2
x=-1
Solve simultaneous equations
11s+9t=116
5s+9t=92
Answer:
4
Step-by-step explanation:
11s+9t=116
5s+9t=92
Minus bottom equation from the top
6s+0=24
divide 6 on both sides
s=4
have anyone seen raaz?
Answer:
...Who is that??
Answer:
Magic sarap
Step-by-step explanation:
18% of 92, what is the estimation?
Answer:
16.56
Step-by-step explanation:
I hope this helps you mark me brainliest. Imma senior I need it.
Answer:
16.56
Step-by-step explanation:
A factory can build 15 cars every hour. If at a certain time of day , they have already built 9 cars,how many cars in total will they have built 5 hours from now?
Answer:
They would have built 84 cars
Step-by-step explanation:
From the question, they have already built 9 cars
Now, the hourly production rate is 15 cars per hour;
So therefore, in 5 hours, total that would have been built excluding the initial 9 will be;
15 * 5 = 75 cars
Now, let us add the initial 9
we have this as 9 + 75 = 84 cars
Nolan and Mia work at a dry cleaners ironing shirts. Nolan can iron 25 shirts per hour, and Mia can iron 35 shirts per hour. Mia worked twice as many hours as Nolan and they ironed 380 shirts between them. Determine the number of hours Nolan worked and the number of hours Mia worked.
Answer: Nolan worked 4 hours, and Mia worked 8 hours
Step-by-step explanation:
Step-by-step explanation:
Let x represent the number of hours Nolan worked.
Let y represent the number of hours Mia worked.
Mia worked twice as many hours as Nolan. This means that
y = 2x
Nolan can iron 25 shirts per hour, and Mia can iron 35 shirts per hour. Together, Nolan and Mia ironed 380 shirts between them. This means that
25x + 35y = 380 - - - - - - - - - - - - - -1
Substituting y = 2x into equation 1, it becomes
25x + 35 × 2x = 380
25x + 70x = 380
95x = 380
x = 380/95
x = 4
y = 2x = 2 × 4
y = 8
A number cube is labeled 1 through 6. What is the probability of NOT
rolling a 2?
Answer:
Step-by-step explanation:
each of the 6 number has a 1/6 chance of being rolled
1 2 3 4 5 6
1/6 1/6 1/6 1/6 1/6 1/6
Every time the cube is rolled there is a 6/6 chance of any number comes up
1/6 + 1/6 + 1/6 + 1/6 + 1/6 + 1/6 = 6/6 or 1
What is the probability of NOT rolling a 2? Any other number
1 2 3 4 5 6
1/6 + 0 + 1/6 + 1/6 + 1/6 + 1/6 = 5/6 or 0.8333
a scuba diver dives down 70 feet down into the ocean. he then swims another 40 feet down what is the new elevation of the scuba diver
Answer:
-110
Step-by-step explanation:
-70 + -40 = -110
Plz I need help ASAP
Answer:
22
Step-by-step explanation:
5.50p=5.50x4=22
I hope this is the answer you're looking for! :)
I just edited it.
Can some tell me which one is correct and how to answer the “ how do you know” part
Answer:
Student B
Step-by-step explanation:
You know because:
The common factor between 3 and 6 is 3.
You can factor 2 x's from both parts and 2 y's.
Therefore, it would be
3x^2y^2.
Which is the following functions is graphed below?
Answer:
A.y=|x|+7
Step-by-step explanation:
GEOMETRY. I will give brainliest
Given:
A figure of a circle. A secant and tangent of the given circle.
To find:
The correct equation.
Solution:
According the intersecting tangent secant theorem, the square of tangent is equal to the property of external segment of secant and the measure of the secant.
Using intersecting tangent secant theorem, we get
[tex]6^2=x(x+5)[/tex]
It can be written as
[tex]x(x+5)=6^2[/tex]
The required equation is [tex]x(x+5)=6^2[/tex].
Therefore, the correct option is B.
Ayo fam, can I get a little help here
Answer:
1,2,3 have to equal 180 so 90+50 = 140 and 180 subtract 140 = 40 degrees for 1. 3 and 6 are the same and 1 and 4 are the same 4 is 40degrees
At a water park there is a slide that you really want to ride. In order to get to the top of the 29 foot slide you must first climb a ladder. When you finish the ride you end up 21 feet from the base of the ladder. How tall is the ladder you must climb in order to get to the top
Answer: 20 feet
Step-by-step explanation:
This represents a right angled triangle with the length of the slide being the hypotenuse, the height of the ladder being the height of the triangle and the distance from the base of the ladder being the length.
Solve with Pythagoras rule:
c² = a² + b²
c = hypotenuse
a= length
b = height
29² = 21² + b²
841 = 441 + b²
b² = 841 - 441
b² = 400
b = √400
b = 20 feet
Arthur has 12 more marbles than Michael. Together, they have 48 marbles. Michael has 16 marbles while Arthur has 32 marbles. Is this correct? Justify your answer by indicating the equation to be used.
Answer:
no its not right bc authur has to have 12 mor and ha has 16 more not 12
Step-by-step explanation:
Answer:
this is false
Step-by-step explanation:
if arthur has 12 more marbles then michael that means that arthur has 28 marbles, NOT 32
Srry i couldnt find the correct answer but i hope this helped! And pls mark brainliest.
Which of the following is an irrational number?
A. Vo
B. 73
C. 1.36
D. -0.19
Answer:
A
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
root three is irrational
Which of these is equivalent to 2.75?
A. 2 3/4
B. 2 2/5
C. 2 1/5
D. 2 3/25
Answer:
2 3/4
Step-by-step explanation:
2=2
.75= 3/4
Example 75 cents is equal to 3 quarters
[tex]2 \frac{3}{4} [/tex]
Because 2.75 =
[tex] \frac{11}{4} [/tex]
And
[tex] \frac{11}{4} = 2 \frac{3}{4} [/tex]