Answer:
El padre tenía un capital de 60,000 euros.
El hijo mayor recibe 12,000 euros.
El hijo segundo recibe 15,000 euros.
El hijo tercero recibe 33,000 euros.
Step-by-step explanation:
Sea [tex]x[/tex] el capital total del padre y [tex]a,b,c[/tex] son las asignaciones a los hijos mayor, segundo y tercero. A continuación, construimos las ecuaciones matemáticas a partir de lo descrito en el enunciado:
Hijo mayor
[tex]a = \frac{1}{5}\cdot x[/tex] (1)
Hijo segundo
[tex]b = \frac{1}{4}\cdot x[/tex] (2)
Hijo tercero
[tex]c = \left(1-\frac{1}{5}-\frac{1}{4}\right)\cdot x = 33000[/tex] (3)
De (3) tenemos que el capital del padre es:
[tex]x = \frac{33000}{1-\frac{1}{5}-\frac{1}{4} }[/tex]
[tex]x = 60000[/tex]
El padre tenía un capital de 60,000 euros.
Por (1) y (2) determinamos los capitales del hijo mayor y el hijo segundo:
[tex]a = \frac{1}{5}\cdot x[/tex]
[tex]x = 12000[/tex]
El hijo mayor recibe 12,000 euros.
[tex]b = \frac{1}{4}\cdot x[/tex]
[tex]b = 15000[/tex]
El hijo segundo recibe 15,000 euros.
Ms. Roberts studied her students' geography test scores and sleeping habits. She found that students who slept less tended to earn
lower scores on the test. What conclusion should she make?
Step-by-step explanation:
she should tell the students that sleep less to get to their beds early, as the brain needs rest to function properly
Answer:
There is a correlation between test score and amount of sleep. There may or may not be causation. Further studies would have to be done to determine this.
Step-by-step explanation:
There is a correlation between test score and amount of sleep. There may or may not be causation. Further studies would have to be done to determine this.
What is a correct way to write the statement, "All dogs are mammals" in conditional form?
All mammals are dogs.
If an animal is a mammal, then it is a dog,
All mammals are not dogs.
If an animal is a dog, then it is a mammal.
Answer:
Step-by-step explanation:
I believe it’s the last one. A conditional statement will have “if”. The second statement doesn’t make sense. The first and third statements aren’t conditional. The 4th or last statement works.
we struggling at the moment
Answer:
hi
Step-by-step explanation:
area of square is a²
14²=196 m
haveca nice day
In order for the data in the table to represent a linear function with a rate of change of +5, what must be the value of a?
a = 3
a = 8
a = 18
a = 33
Answer: C: A=18
Step-by-step explanation: If your are adding 5 every time the x value goes up by one, then you would add 5 to13, henceforth getting 18.
The value of a that completes the table is 18
Rate of change of a functionThe rate of change of a function is expressed in term of the slope.
In order to determine the value of a, we will use the expression below;
Slope = a - 13/4-3 = 23-13/5-3
a-13 = 10/2
a - 13 = 5
Add 13 to both sides
a =5 + 13
a = 18
Hence the value of a that completes the table is 18
Learn more on rate of change here: https://brainly.com/question/8728504
#SPJ9
In a cookie jar containing 6
6
chocolate
chip cookies, 8
8
wafer cookies and 10
10
double chocolate cookies, what is the
probability that a person who isn't looking
when they get a cookie will get a chocolate
chip cookie?
The probability that a randomly selected student is on honor roll is 0.24 The probability that a randomly selected student is on the honor roll and takes an art class is 0.18 what is the probability that a randomly selected student takes an art class, given the student is on honor roll
Answer: 0.06
Step-by-step explanation: subtract them and you'll get your answer
The probability that a randomly selected student takes an art class, given the student is on honor roll is P ( A|B ) = 0.75
What is Probability?The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible
Probability = number of desirable outcomes / total number of possible outcomes
The value of probability lies between 0 and 1
Given data ,
The conditional probability is given by
P(A|B) = P(A and B) / P(B)
where A and B are events.
In this case, let A be the event that a randomly selected student takes an art class, and let B be the event that the student is on honor roll.
The probability that a selected student is on honor roll P ( B ) = 0.24
The probability that a selected student is on honor roll and takes an art class P (A and B) = 0.18
Now , the probability that a randomly selected student takes an art class, given the student is on honor roll P(A|B) = P(A and B) / P(B)
P(A|B) = P(A and B) / P(B) = 0.18 / 0.24 = 0.75
Hence , the probability is 0.75 or 75%
To learn more about probability click :
https://brainly.com/question/17089724
#SPJ3
Im sorry to interrupt but I really need help
Answer:
if player wins by spining the greater number, spinner b should be chosen. However, if the game is won by spinning the lesser number , spinner a should be chosen.
The rectangle ABCD is reflected across the y-axis. What are the
coordinates of the vertex A'?
Write the equation of the circle graphed below
Answer:
there isnt any image
Step-by-step explanation:
Which expression is equivalent to the image below?
1/4(12-3x)
A. 3 - 3/4x
B. 3 - 12x
C. 3 + 3/4x
D. -3 -3x
The expression is equivalent to the 1/4 (12 -3x) is 3 - 3/4x.
What is Expression?In mathematics, an expression is a phrase that has at least two numbers or variables and at least one math operation. Addition, subtraction, multiplication, or division are all examples of math operations. An expression's structure is as follows: (Number/variable, Math Operator, Number/variable) is an expression.
We have the Expression
1/4 (12 - 3x)
Now, using Distributive Property we get
a x (b+ c) = a x b + a x c
Then, 1/4 (12 - 3x)
= 1/4(12) - 1/4 (3x)
= 3 - 3/4x
Thus, the required expression is 3 - 3/4x.
Learn more about Expression here:
https://brainly.com/question/16804733
#SPJ3
Find the coordinates of
the image under the
transformation
15.
If abx - 5 =0, what is x in terms of a and b?f(x)X-5-4-3Ih(x)3014620-1-1.5-1.75-1012
8(x) = 3' +2
Which statement is true?
1) The y-intercept for h(x) is greater than
the y-intercept for /(x).
2) The y-intercept for Sx) is greater than
the y-intercept for g(x).
3) The y-intercept for h(x) is greater than
the y-intercept for both g(x) and S(x).
4) The y-intercept for g(x) is greater than
the y-intercept for both /(x) and h(x).
Hi! Answer this please!
Write a function for the line that includes the points (4,−5) and (8,−7).
Answer:imma try to help you
Step-by-step explanation:
The function for the line can be written as F(x) = -(1/2)x - 3.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given that line that includes the points (4,−5) and (8,−7).
The slope will be calculated as,
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Slope = ( -7 +5 ) / ( 8 - 4)
Slope = -2 / 4= -1/2
The y-intercept will be calculated as,
y = mx + c
-7 = -1/2 x 8 + c
-7 = -4 + c
c = -3
The equation can be written as,
y = mx + c
y= -1/2(x) - 3
To know more about an equation of the line follow
https://brainly.com/question/18831322
#SPJ6
Zeroes of a polynomial can be determined graphically. Number of zeroes of a polynomial is equal to number of points where the graph of polynomial.
2 points
a. intersects y-axis
b. intersects x-axis
c. intersects y-axis or intersects x-axis
d. none of these
9514 1404 393
Answer:
b. intersects x-axis
Step-by-step explanation:
A zero of the polynomial is where y = 0. The equation y = 0 is the equation of the x-axis, so intersections of the graph of the function with the x-axis are places where the function value is zero.
The number of (distinct real) zeros is equal to the number of points where the graph intersects the x-axis.
_____
Additional comment
When (x -p)^n is a factor of the polynomial, the graph will intersect the x-axis at x=p. The zero is said to have "multiplicity n". For odd values of n, the graph will cross the x-axis (change sign) at x=p. For even values of n, the graph will touch the axis at x=p, but will not cross there.
So, the number of intersections with the x-axis tells the number of distinct real zeros, but does not say anything about their multiplicity. Complex zeros will not cause the graph to touch the x-axis.
Calcula y comprueba las ecuaciones: plisss lo necesito alguien me puede ayudar a) 2X = 6 b) 10 + Z = 20 c) P + 9 = 11 d) 3X + 8 = + 29 e) 2U + 8 = 10
Answer:
a) x=3
b) z=10
c) P= 2
d) X=7
e) U=1
Step-by-step explanation:
Resolver una ecuación consiste en hallar los valores de la variable que hacen cierta la igualdad.
a) 2x= 6
El coeficiente es el número junto a la variable. En este caso, el coeficiente es 2. Para eliminar este número en la expresión 2x, debido a que la variable x esta multiplicada por 2, deberás dividir ambos lados de la ecuación entre 2, debido a que la operación opuesta de la multiplicación es la división.
(2x)÷2=6÷2
x= 3
Comprobar la solución de una ecuación se hace al remplazar la variable en una ecuación con el valor de la solución. La solución debería satisfacer la ecuación cuando se ingresa en esta.
En este caso:
2*3= 6
6=6
b) 10 + z= 20
En este caso se debe sumar o restar la constante que se encuentra acompañando a la variable en ambos lados de la ecuación de manera de aislar el término de la variable. En este caso:
10 - 10 + z= 20 -10
z= 10
Comprobación:
10 + z=20
10 + 10=20
20=20
c) P + 9= 11
P +9 - 9= 11 -9
P=2
Comprobación:
2 + 9= 11
11=11
d) 3X + 8 = 29
En este caso, se suma o resta la constante en ambos lados de la ecuación y luego se elimina el coeficiente de la variable mediante la división o multiplicación. Esto es:
3X + 8 - 8= 29 - 8
3X= 21
3X ÷3= 21÷3
X=7
Comprobación:
3*7 + 8=29
21+8=29
29=29
e) 2U + 8= 10
2U + 8 - 8= 10 -8
2U= 2
2U ÷2= 2÷2
U=1
Comprobación:
2*1 + 8= 10
2 + 8= 10
10=10
Last week the team ran 21 1/2 miles total. this week the track coach had the team run 5 1/2 miles on monday and 4 3/4 miles on tuesday. the next three days the team averaged 6 miles a day
Si el recíproco del m% de p se divide por el recíproco del m% de q resulta: A) pq/100 B)pq C)1/pq D)p/q E)q/p
Answer:
E) q / p
Step-by-step explanation:
Spanish
m% de p = pf / 100
m% de q = mq / 100
El recíproco se obtiene haciendo que el numerador sea el denominador y el denominador el numerador.
El recíproco de m% de p = 100 / mp
El recíproco de m% de q = 100 / mq
Divisor
100 / mp / 100 / mq
= 100 / mp * mq / 100
= mq / mp
= q / p
English
If the reciprocal of m% of p is divided by the reciprocal of m% of q, the result is: A) pq / 100 B) pq C) 1 / pq D) p / q E) q / p
m% of p= mp/100
m% of q= mq/100
The reciprocal is obtained by making the numerator the denominator and the denominator the numerator
The reciprocal of m% of p= 100/mp
The reciprocal of m% of q= 100/mq
Dividing
100/mp/ 100/mq
=100/mp* mq/100
= mq/mp
= q/p
An elevator goes down 3 floors, up 5 floors, and finally down 7 floors, Write an expression that represents the total number of floors the elevator traveled
Answer: -5
Step-by-step explanation:so the elwvator goes down 3 floors so -3+5-7=-5 because 3-5=2 and 2-7=-5 hope this helps
What is the value of y in the solution to the system of equations?
3x + 4y = 30
3x + 5y = 33
Answer:
y = 3
Step-by-step explanation:
3x + 5y = 33 ---------------(I)
3x + 4y = 30 ----------------(II) {subtract equation (II) from (I)}
- - = -
1y = 3
y = 3
What is the solution to x^ 3 + 4x^ 2 > x + 4? –4 < x < –1 –4 < x < 1 –4 < x < –1 or x > 1 x < –4 or –1 < x < 1
Answer: did you make this up? cause i’m confused ♀️
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
Use the formula to find
Answer:
5525
Step-by-step explanation:
Using the formula with n = 25 , then
[tex]\frac{25(26)(50+1)}{6}[/tex]
= [tex]\frac{25(26)(51)}{6}[/tex]
= [tex]\frac{33150}{6}[/tex]
= 5525
What is the equation of the line that passes through the point (4, -8) and
has a slope of - 1/2?
Answer:
I have no idea.
Step-by-step explanation:
??
Please help me with this
Thanks
Answer:
8/40 + 20/40 = 28/40
Step-by-step explanation:
It's about finding the common denominator for the fractions.
we can easily see that 40 is a common denominator for denominators 10 and 4. 20 would work too, but 40 is "instantly seen".
2/10 = (2*4) / (10*4) = 8/40
2/4 = (2*10) / (4*10) = 20/40
8/40 + 20/40 = (8+20) / 40 = 28/40
A man's basic wage for a 40-hour week is $160.00. He is paid $5.00 per hour for overtime. If He works 6 1/2 hours overtime in a certain week, his wage for that week is?
Answer:
im guessing you add the overtime work money to the weeks normal wage, which would be 192.5$.
Step-by-step explanation:
6.5 hours x 5/hr$ = 32.5$ + 160$
Algebra 2 functions. Will mark Brainliest!
Answer:
f-1(x) is just the opposite of f(x) therefore -x(x-2) =f-1(x)
Step-by-step explanation:
What do you think the value of represents in the function? How can you predict what the graph of a quadrati function will look like knowing the value of k in a vertex form y=(x-7) *?
Answer:
Step-by-step explanation:
Parts of the question are missing.
y = a(x-h)² + k is a vertical parabola.
If a is positive, the parabola opens upwards.
If a is negative, the parabola opens downwards.
The vertex is at (h, k)
pls help
any links will be flagged because there is a person going around trying to get info by sending a link that supposedly answers your question
Answer:
Same to me he sent a link to like almost every question it didn't work for me
Step-by-step explanation:
1)A System of equations is shown below . What is the solution to the system of equations? 5x+2y=-15 2x-2y=-6
Answer:
x= -3 and y= 0
Step-by-step explanation:
5x+2y=-15
2x-2y=-6
7x =-21
x= -3
Putting value of x in equation 1
5(-3) +2y=-15
-15+2y= -15
2y= 0
y= 0
This can be solved with the help of matrices
In matrix form the above equations can be written in the form
[tex]\left[\begin{array}{ccc}5&2\\2&-2\/\end{array}\right][/tex] [tex]\left[\begin{array}{ccc}x\\y\\\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}-15\\-6\\\end{array}\right][/tex]
Let
[tex]\left[\begin{array}{ccc}5&2\\2&-2\/\end{array}\right][/tex] = A [tex]\left[\begin{array}{ccc}x\\y\\\end{array}\right][/tex] = X and [tex]\left[\begin{array}{ccc}-15\\-6\\\end{array}\right][/tex]= B
Then AX= B
or X= A⁻¹ B
where A⁻¹= adj A/ ║A║ where mod A≠ 0
adj A= [tex]\left[\begin{array}{ccc}-2&-2\\-2&5\/\end{array}\right][/tex]
║A║= ( 5*-2- 2*2)= -10-4= -14≠0
X= A⁻¹ B
[tex]\left[\begin{array}{ccc}x\\y\\\end{array}\right][/tex] =- 1/14 [tex]\left[\begin{array}{ccc}-2&-2\\-2&5\/\end{array}\right][/tex] [tex]\left[\begin{array}{ccc}-15\\-6\\\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}x\\y\\\end{array}\right][/tex] =- 1/14 [tex]\left[\begin{array}{ccc}-2*-15&+ -2*-6\\-2*-15&+ 5*-6\\\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}x\\y\\\end{array}\right][/tex] =- 1/14 [tex]\left[\begin{array}{ccc} 30&+12\\30&+-30\\\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}x\\y\\\end{array}\right][/tex] =- 1/14 [tex]\left[\begin{array}{ccc}42\\0\\\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}x\\y\\\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}-42/14\\0/-14\\\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}x\\y\\\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}-3\\0\\\end{array}\right][/tex]
From here x= -3 and y= 0
Solution Set = [(-3,0)]
Many credit card companies charge a compound interest rate of 1.8% per month on a credit card balance. Nelson owes $950
Answer:
950, 1121.00, 1322.78, 1,560.88, 1,841.84
Step-by-step explanation:
Calculation to determine the sequences that describes his increasing monthly balance
Based on the information given in order for us to determine the sequence we have to multiply the amount owes by the interest rate and then add back the answer you got to the previous amount you multiplied the interest rate to.
First sequence will be the amount he owes on a credit which is $950
Second sequence
950 * .018 = 171.00
950 + 171.00 = 1121.00
Third sequence
1121.00 * .018 = 201.78
1121.00 + 201.78 = 1322.78
Fourth sequence
1322.78*0.18=238.10
1322.78+238.10=1,560.88
Last sequence
1,560.88*0.18=280.96
1,560.88+280.96=1,841.84
Therefore the sequences that describes his increasing monthly balance are:
950, 1121.00, 1322.78, 1,560.88, 1,841.84
