Answer:
Alfredo tenía 80 soles peruanos al inicio.
Step-by-step explanation:
La descripción del problema puede traducirse a las siguientes ecuaciones matemáticas:
Luego de perder en forma sucesiva 1/3 y 2/5 de lo que le iba quedando:
[tex]y = \left(1 - \frac{1}{3}\right)\cdot x[/tex]
[tex]z = \left(1 - \frac{2}{5}\right)\cdot y[/tex]
Donde:
[tex]x[/tex] - Monto inicial, medido en soles peruanos.
[tex]y[/tex], [tex]z[/tex] - Montos remanentes después de pérdidas, medidos en soles peruanos.
Se reduce el sistema de ecuaciones:
[tex]z = \left(1-\frac{2}{5}\right)\cdot \left(1-\frac{1}{3} \right)\cdot x[/tex]
[tex]z = \frac{2}{5}\cdot x[/tex]
Gana en forma consecutiva sus 3 últimos juegos:
[tex]u = \left(1+\frac{1}{2} \right)\cdot z[/tex]
[tex]v = \left(1 + \frac{1}{4} \right)\cdot u[/tex]
[tex]w = \left(1+\frac{1}{6} \right)\cdot v[/tex]
Donde:
[tex]z[/tex] - Monto inicial, medido en soles peruanos.
[tex]u[/tex], [tex]v[/tex], [tex]w[/tex] - Montos remanentes después de ganancias, medidos en soles peruanos. (Donde w es el monto final).
Se reduce el sistema de ecuaciones:
[tex]w = \left(1+\frac{1}{2} \right)\cdot \left(1+\frac{1}{4} \right)\cdot \left(1+\frac{1}{6} \right)\cdot z[/tex]
[tex]w = \frac{35}{16}\cdot z[/tex]
Si [tex]w = 70[/tex], el monto inicial es:
[tex]z = \frac{16}{35}\cdot w[/tex]
[tex]z = \frac{16}{35} \cdot (70)[/tex]
[tex]z = 32[/tex]
Ahora,
[tex]x = \frac{5}{2} \cdot z[/tex]
[tex]x = \frac{5}{2}\cdot (32)[/tex]
[tex]x = 80[/tex]
Alfredo tenía 80 soles peruanos al inicio.
Al inicio Alfredo tenía $80.
Determinación de cantidadesDado que, luego de perder en forma sucesiva 1/3 y 2/5 de lo que le iba quedando, Alfredo gana en forma consecutiva en sus 3 últimos juegos 1/2, 1/4 y 1/6 de la cantidad que iba acumulando retirándose con $70, para determinar cuánto tenía al inicio se debe realizar el siguiente cálculo:
((((0.66X) x 0.6) x 1.5) x 1.25) x 1.16 = 70((((0.66X) x 0.6) x 1.5) x 1.25) = 70 / 1.16(((0.66X) x 0.6) x 1.5) = 60 / 1.25(((0.66X) x 0.6) x 1.5) = 60 / 1.25((0.66X) x 0.6) = 48 / 1.50.66X = 32 / 0.6X = 53.333 / 0.66 X = 80Por lo tanto, al inicio Alfredo tenía $80.
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Please help me I will mark BRAINLIST :))))
Answer:
47%
Step-by-step explanation:
The total number of student is 4+6+2+2+3+4+6+3 = 30 students
P( male) = male / total
= (4+6+2+2)/ total
=14/30
=.466666666
46.66666%
To the nearest whole percent
47%
To solve 6x=30, Keith divided both sides of the equation by 6. Which property justify this step
Answer:
6x to find x on it's own you need to divide by the number infront,
Step-by-step explanation:
first chance you get the best marks
Answer:
First box and last box.Step-by-step explanation:
It is the first box.Distribute 7 to the first number
7 * -3/4 = -21/4
-21/4 = 5 -1/4
Distribute 7 to the second number
7 * -3
= -21
Put the numbers together
5 -1/4x -21 is the answer.It is also the last box.They separated the parenthesis.
So it is still 7 * -3/4
and
7*-3.
Hope this helps,
Kavitha
I NEED HELP PLEASE! THANKS :)
Answer:
A
Step-by-step explanation:
First, let's do the difference of two squares:
[tex](1-cos^4(\theta))=(1-cos^2(\theta))(1+cos^2(\theta))[/tex]
Note that [tex]sin^2(\theta)=1-cos^2(\theta)[/tex] (Pythagorean Identity)
Thus, we can substitute:
[tex]sin^2(\theta)(1+cos^2(\theta))[/tex]
Now, and I'm serious, you just have to use your creativity. After a while, you will find that:
[tex]sin^2(\theta)+cos^2(\theta)=1[/tex]
So:
[tex]1+sin^2(\theta)+cos^2(\theta)=1+1[/tex]
Thus, we have [tex]1+cos^2(\theta)=2-sin^2(\theta)[/tex]
Now, we can substitute:
[tex]sin^2(\theta)(2-sin^2(\theta))=2sin^2(\theta)-sin^4(\theta)[/tex]
Pleas answer this question now fast in two minutes
Answer:
3
Step-by-step explanation:
Adjacent angles have a common side and no common interior points.
FIND THE AREA AND PERIMETER PLEASE
Answer:
Area = 70 Perimeter = 50
Step-by-step explanation:
I will begin with area. I can find the area of each figure, then add the areas.
3 • 18 = 54
4 • 4 = 16
Area = 70
For perimeter, I will add the given lengths.
3 + 18 + 7 + 4 + 4 + 14
Perimeter = 50
Answer:
Area: 70cm
Perimeter: 50cm
Step-by-step explanation:
The shape can be separated into 2 shapes to calculate the area, a rectangle and a square. The rectangle can be measured 18cm * 3cm and the square can be 4cm * 4cm. The rectangle's area is 54cm and the square is 16cm. Add both to find the area. 54+16= 70. To find the perimeter you just add all the sides together. 3+18+7+4+4+14= 50.
A rectangle on a coordinate plane has vertices at (7,5),(-7,5),(-7,-2),and (7,-2) what is the perimeter of the rectangle?
Answer:
Your Perimiter is 42
Step-by-step explanation:
Distance from 7,5 to -7,5 is 14
Distance from -7,5 to -7,-2 is 7
Then we double both those numbers as it is a rectangle
2l + 2w = Per...
28 + 14 = 42
MARK AS BRAINLIEST
Para medir la temperatura se pueden utilizar diferentes escalas, por ejemplo, la escala de grados Celsius (°C) y Fahrenheit (°F ). La relación entre estas escalas está dada por la expresión: C igual fracción numerador 5 por F menos 160 entre denominador 9 fin fracción ¿A cuántos grados Fahrenheit equivalen 62 °C?
Answer:
143.6F
Step-by-step explanation:
Entonces la ecuación establecida es;
C = [tex]\frac{5F-160}{9}[/tex]
Entonces, para resolver el Celsius, debes hacer de F el tema que hago a continuación.
[tex]C = \frac{5F - 160}{9}\\C * 9 =( \frac{5F-160}{9}) *9\\9C - 5F = 5F -160 - 5F\\9C-5F =-160 \\-5F = -160 - 9C\\\frac{-5F}{-5} = \frac{-160-9C}{-5}\\[/tex]
∴[tex]F = \frac{-160-9C}{-5}[/tex]
Ahora ingresamos los valores y resolvemos para F
F = [tex]\frac{-160 - 9(62)}{-5}[/tex]
=[tex]\frac{-160-558}{-5}[/tex]
= [tex]\frac{-718}{-5}[/tex]
= 143.6
∴ 62C = 143.6F
Teniendo en cuenta que un Tambo tiene 12 Vacas en Ordeñe con un promedio de 16 litros por vaca por día y la leche es destinada a la Industria Láctea para la elaboración de quesos, ¿Cuántos kilos de queso podría elaborar semanalmente y mensualmente?
Answer:
En una semana, 1344 kilos
En un mes, 5760 kilos
Step-by-step explanation:
Tambo tiene 12 vacas y cada vaca produce un promedio de 16 litros por día.
Por lo tanto, en un día, las 12 vacas podrían producir:
12 * 16 = 192 litros
En una semana, las 12 vacas podrían producir:
192 * 7 = 1344 litros = 1344 kilos
En un mes, las 12 vacas podrían producir:
192 * 30 = 5760 litros = 5760 kilos
What are the coordinates of point P on the directed line segment from A to B such that P is One-fourth the length of the line segment from A to B?
Answer:
The answer is explained below
Step-by-step explanation:
The location of point A = (-5, -1) and point B = (4, 1).
To find the coordinate of the point that divides a line segment PQ with point P at [tex](x_1,y_1)[/tex] and point Q at [tex](x_2,y_2)[/tex] in the proportion a:b, we use the formula for the x and y coordinates:
[tex]x-coordinate:\\\frac{a}{a+b}(x_2-x_1)+x_1 \\\\While \ for\ y-coordinate:\\\frac{a}{a+b}(y_2-y_1)+y_1[/tex]
P is One-fourth the length of the line segment from A to B, Therefore AB is divided in the ratio 1:4. The location of point A = (-5, -1) and point B = (4, 1).Therefore:
[tex]x-coordinate:\\\frac{1}{1+3}(4-(-5))+(-5)=\frac{1}{4}(9)-5=-\frac{11}{4} \\\\While \ for\ y-coordinate:\\\frac{1}{1+3}(1-(-1))+(-1)=\frac{1}{4}(2)-1=\frac{-1}{2}[/tex]
Therefore the coordinate of P is (-11/4, -1/2)
Answer:
the coordinate of P is (-11/4, -1/2)
x= -11/4
y= -1/2
c on edu
Step-by-step explanation:
edu 2021
Sphere A has a diameter of 12 and is dilated by a scale factor of one half to create sphere B. What is the ratio of the volume of sphere A to sphere B?
Answer:
VA/VB = 8
Step-by-step explanation:
You have a sphere A with diameter 12, that is, radius 6, which can be written as follow:
[tex]V_A=\frac{4}{3}\pi r_A^3=\frac{4}{3}\pi (6)^3=288\pi[/tex] (1)
The sphere A is dilated by a scale factor of one half to sphere B. Then, you have:
[tex]V_B=\frac{4}{3}\pi r_B^3=\frac{4}{3}\pi (\frac{6}{2})^3=36\pi[/tex] (2)
From the results of equation (2) and (1) you can calculate the ratio VA/VB:
[tex]\frac{V_A}{V_B}=\frac{288\pi}{36\pi}=8[/tex]
The ratio of the volumes of both sphere A and B is 8
Answer:
8:1
Step-by-step explanation:
hope this helps
Julio’s rotation maps point K(–6, 9) to K’(9, 6). Which describes the rotation? A. 90 degrees clockwise rotation B. 180 degrees rotation C. 90 degrees counterclockwise rotation D. 270 degrees clockwise rotation
Answer:
The correct option is;
A. 90 degrees clockwise rotation
Step-by-step explanation:
From the given information, we have;
The coordinates of the pre-image is K(-6, 9)
The coordinates of the image is k'(9, 6) which is similar to a transformation of a pre-image of (x, y) to an image of (y, -x)
The transformation from (x, y) to (y, -x) can be obtained from either;
1) A rotation of 90° (clock wise)
2) A rotation of 270° counter clockwise
Therefore, the correct option that maps K(-6, 9) to K'(9, 6) is a 90 degrees clockwise rotation.
Answer: The person above me is correct! A. 90 degrees clockwise rotation
Step-by-step explanation:
Please help quicklyyy!Zachary sold his stock in a computer company. He received $34 per share. This was $8 less
than twice what he paid for it. What was the price of the computer stock per share when he
bought it?
Answer:
Hey there!
Let x be the price he paid for.
2x-8=34
2x=42
x=21
He bought the stock for 21 dollars.
Hope this helps :)
Answer:
The price per share when he bought it was 21
Step-by-step explanation:
Let x = price he paid for the stock
34 = 2x-8
Add 8 to each side
34+8 = 2x-8 +8
42 = 2x
Divide by 2
42/2 = 2x/2
21 = x
The price per share when he bought it was 21
For which quadratic equation is the axis of symmetry x = 3
a. y = -x2 + 3x + 5
b. y = -x2 + 6x + 2
c. y = x2 + 6x + 3
d. y = x2 + x + 3
Answer:
b) y = -x2 + 6x + 2
Step-by-step explanation:
Yasmin bought several items at the discount store. She paid 8.75 percent sales tax, an amount of $4.59, on the total amount of her purchase. What was the total amount of her purchase before tax was added? $40.16 $52.46 $190.63 $401.63
Answer:
$52.46
Step-by-step explanation:
We are told that ...
8.75% · purchase = $4.59
Dividing by the percentage, we have ...
purchase = $4.59/0.0875 = $52.46
Yasmin's pre-tax total was $52.46.
Answer:
the correct answer is b aka 52.46
I will make you a brainllest :) plz
Answer:
38
Step-by-step explanation:
RST = RSQ + QST
70 = 3x-10 + 2x
Combine like terms
70 = 5x-10
Add 10 to each side
70 + 10 = 5x-10+10
80 = 5x
Divide each side by 5
80/5 = 5x/5
16 =x
Now find QSR
QSR = 3x-10
3*16 - 10
48-10
38
assume that y varies inversely with x. if y = 8 when x = 1.55, find x when y = -0.62
Answer:
y varies inversely with x is written as
y = k /x
where k is the constant of variation
y = 8 x = 1.55
8 = k / 1.55
Multiply through by 1.55
k = 12.4
The formula is
y = 12.4 / x
when y = - 0.62
- 0.62 = 12.4/x
- 0.62x = 12.4
Divide both sides by - 0.62
x = 12.4/-0.62
x = - 20
When y = - 0.62 x = - 20
Hope this helps
Please answer my question now in two minutes
Answer:
lines MP and NO are parallel
Step-by-step explanation:
they will never intersect
Answer:
mp and no are the parallel sides
please help me Which of the following choices will evaluate the function ƒ(x) = -(-x), when x = -3? 3 -1 -3 None of these choices are correct.
Answer:
-3
Step-by-step explanation:
Given the function f(x) = -(-x)
we want to evaluate f(-3)
What we do simply here is substitute the value of -3 for x in the equation
That would be ;
f(-3) = -(-(-3)) = -(3) = -3
PLZ HELP ME I NEED THIS FAST WILL GIVE BRAINLIEST
Step-by-step explanation:
The formula the amusement parc use is 100y-39000=55(x-800)
The slope intercept form of a function is wriiten generally as:
y = mx+c
m is a slope c is a constant and represents the y-intercept x is a variable y is the input of the functionLet's rewrite our equation in the precedent form
100y-39000 = 55(x-800)100y -39000 = 55x-44000 add 39000 in both sides100y-39000+39000 = 55x-44000+39000100y = 55x-5000 divide both sides by 100y = 0.55x-50The slope intercept form of this equation is:
y= 0.55x-50
Answer:
y=55x+38992
Explanation:
You have to turn the equation into the form y=mx+b
Step 1: Get y by itself(divide both sides by 100)
100y-39,000=55(x-800)
100/100y-39,000=55(x-800)/100
y-39,000=55(x-800)/100
Step 2: Get y by itself(+ 39000 to both sides)
y-39,000=55(x-800)/100
+39,000=55x-800/100+39,000
y=55x-800/100=39,000
Step 3: Simplify
y=55x+38992
de un tanque lleno de agua se utiliza la cuarta parte para lavar ropa, los 5/ 6 del resto para cocinar y aun quedan 100 litros de agua ¿ cuantos litros de agua tenia el tanque?¿ cuantos litros de agua se utilizan para cocinar?
Answer:
a. 800 litros
b. 500 litros
Step-by-step explanation:
Aquí, se nos dice que 1/4 del total se usa para lavar la ropa.
Lo que queda sería 1-1 / 4 = 3/4 Fuera de esto, 5/6 se usa para cocinar.
La fracción utilizada para cocinar es 5/6 * 3/4 = 15/24 = 5/8
Y todavía nos quedan 100 litros.
La cantidad utilizada ya sería 1/4 + 5/8 = (2 + 5) / 8 = 7/8
Entonces la fracción no utilizada = 1-7 / 8 = 1/8
Ahora, es este 1/8 que corresponde a 100 litros.
Digamos que el volumen total es x litros inicialmente, Eso significa 1/8 * x = 100 x / 8 = 100 x = 800 litros
La fracción utilizada para cocinar es 5/8 del total, por lo que el valor sería 5/8 * 800 = 500 litros
please fill in the final row (x)
Answer:
x = 11
Step-by-step explanation:
The Frequency column has to total 50 ( number of rolls on dice )
Thus total the given frequencies and equate to 50, that is
12 + 8 + 7 + 3 + 9 + x = 50
39 + x = 50 ( subtract 39 from both sides )
x = 11
Answer:
x=11
Step-by-step explanation:
12+8+7+3+9=39
50-39= 11
Find the area of the shaded region where a = -1.88 and b = 2.12. Note: the graph may not be drawn to scale. Write only a number as your answer. Round to 4 decimal places (for example 0.6148). Do not write as a percentage. (picture in attachment)
Answer:
0.0471
Step-by-step explanation:
Here, we want to find the area of the shaded region.
The area of the shade region = 1- area of the unshaded region
The area of the unshaded region is as follows;
P(b) - P(a)
and that is;
P(-1.88<x<2.12) = 0.95294 from z table
So the area of the shaded region = 1-0.95294 =
0.04706 = 0.0471 to 4 d.p
this diagram shows a scale drawing of a playground the scale is ___ 1:500 work out the perimeter of the real playground give your answer in meters
Answer:
The perimeter of the actual playground is 22000 units
Step-by-step explanation:
By measurement, the width of the scale drawing = 16 units
The breadth of the scale drawing = 6 units
Therefore, given that the scale is 1:500, we have that the actual dimensions of the playground are;
Actual width of the playground = 500×16 = 8,000 units
Actual breadth of the playground = 500×6 = 3,000 units
Therefore;
The perimeter of the actual playground = 2 × 8000 + 2 ×3000 = 22000 units.
What is the equation of the line that passes through the points (15, 9) and (-2, 9)?
Answer:Y=9
Step-by-step explanation:
Answer:
Y=9
Step-by-step explanation:
Took the test and got 100%.
how to find the angel in trigonometry when all the lengths of the right angled triangle already given.
Answer:
The three trigonometric ratios can be used to calculate the size of an angle in a right-angled triangle
Use rule ; SOHCAHTOA .Where sin x = opp/hyp
cos x = adj/hyp
tan x= opp/adj
Substitute the given values for the three sides
into any of the above rules
[tex]example = Hyp = 2\\opp = 1\\sin- x = 1/2\\x = sin^{-1} 1/2\\x = 30[/tex]
Step-by-step explanation:
I Hope It Helps :)
There is a bag with only red marbles and blue marbles. The probability of randomly choosing a red marble is 1/8. There are 56 marbles in the bag and each is equally likely to be chosen. Work out how many red marbles there must be
Answer:
7 red marbles
Step-by-step explanation:
P( red) = red marbles / total marbles = 1/8
We know there are 56 marbles
red marbles/56 = 1/8
Multiply by 56
red marbles = 1/8 *56 = 7
There are 7 red marbles
Given: Parallelogram LMNO; MO ⊥ LN Prove: LMNO is a rhombus. Parallelogram L M N O is shown. Diagonals are drawn from point L to point N and from point M to point O and intersect at point P. A square is drawn around point P. Sides L M and O N are parallel and sides L O and M N are parallel. ♣: ♦: ♠: I WILL GIVE BRAINLIEST PLS ANSWER
The proofing is as follows:
Given that,
|LO|=|MN| and |LM|=|ON|
It means that Opposite sides of a parallelogram are equa
Now, LN⊥OM
So,
∠LPO = ∠NPO = 90° ( by definition of perpendicular lines)
LPO ≅ ∠NPO (by definition of congruent angles)
|LP|=|PN| (diagonals of a parallelogram bisect each other)
based on this LMNO is a rhombus
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Answer:
All right angles are congruent
Reflexive property
Opposite sides of a parallelogram are congruent
Step-by-step explanation:
That what i got on my assignment
(-3)(-2)[-4-(-2)]
Slove the problem
Answer:
-12
Step-by-step explanation:
(-3)(-2)[-4-(-2)]
6[-4-(-2)]
6[-2]
-12
Nathaniel is using the quadratic formula to solve 0 = x2 + 5x - 6. His steps are shown below. Table showing 3 steps to solve an equation using the quadratic formula. What are the solutions to the equation?
Answer:
[tex]\underline{x\in\left\{-6\,,\ 1\right\}}[/tex]
Step-by-step explanation:
[tex]x^2+5x-6=0\\\\a=1\,,\ \ b=5\,,\ \ c=-6\\\\x_1=\dfrac{-5-\sqrt{5^2-4\cdot1\cdot(-6)}}{2\cdot1}=\dfrac{-5-\sqrt{25+24}}2=\dfrac{-5-\sqrt{49}}2=\dfrac{-5-7}2=-6\\\\x_2=\dfrac{-5+\sqrt{5^2-4\cdot1\cdot(-6)}}{2\cdot1}=\dfrac{-5+7}2=1[/tex]
Answer:
Step-by-step explanation: Answer is B-6,1