Con base en el uso de simbología para el acertijo, la edad del conductor es 27 años.
¿Cómo determinar la edad del conductor según el acertijo?
Los acertijos no deben ser entendidos literalmente, sino simbólicamente. Cada elemento representa algo figurativo.
Este acertijo parece incoherente debido a estar incompleto y es preciso añadir un criterio adicional que permita brindar sentido al contenido, este criterio es asumir que un pasajero simboliza un año, que el autobús simboliza al conductor, que el ingreso de un pasajero implica sumar un año a la edad del conductor, que el egreso de un pasajero implica restar un año a la edad del conductor y que la población resultante dentro del autobús es la edad del conductor.
En consecuencia, efectuamos la siguiente operación para determinar la edad del conductor:
x = 56 - 31 + 18 - 16
x = 27
El conductor tiene una edad de 27 años.
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there are four boxes that look the same. in one box (the special box), half of the marbles are blue. but only 1/8 of the marbles in the other boxes are blue. you pick a box at random and randomly select a marble from it. the marble is blue. what should your new odds be that the box you picked is the special one?
The new odds that the box picked is a special one is 4
Since, there are four boxes that look the same. in one box (the special one), half of the marbles are blue. but only 1/8 of the marbles in the other boxes are blue.
We will have this hypothesis:
The box the blue marble was picked from is the special box.
Prior confidence we had:
Ratio of special boxes to non special boxes=1:3
Now P(blue &special)=1/2, given that a box is selected from the special box, there is 1/2 chance that it is blue
And P(blue & not special)=1/8, given that a box is selected from a non-special box, there is 1/8 chance that it is blue
According to Baye's factor ,we get:
P(B & S)/P(B & NS)=(1/2)/(1/8)
=4
Thus, 4 is the new odds that the box picked is the special one.
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Which step contains a mistake in solving for the system of equations?
x + 2y = 5
y = 3x - 8
1. x + 2(3x) - 8 = 5
2. x + 6x - 8 = 5
3. 7x = 13
4. x = 13/7
5. 7x 8 5
Answer:
First step, correct answer is (3,1)
Step-by-step explanation:
1.it should be x+2(3x-8)=5
2. x+6x-16=5
3.7x=21
4. 7x/7=21/7
5. x=3
then you can eitheir take x+2y=5 or y=3x-8 i suggets taking second option as it is easier, just input values for x in
) 3x-8=y
6. 3(3)-8= 1
7. x=3, y=1
A 10 pound bag of apples costs $9.85 - what is the price per pound?
Answer:
Step-by-step explanation:
$9.85 / 10 ≈ $0.99
Rewrite in simplest terms: 6(8v-7)-10v
Step-by-step explanation:
[tex]6(8v - 7) - 10 \\ 48v - 42 - 10 \\ 48v - 52[/tex]
A group of 4 people go to a restaurant and the bill without tax comes to $105.73. Tax is 6%. Remember to round to the nearest hundredth because this is money. After tax is added, you want to leave a 20% tip on the new total. The group of 4 people decides to split the total cost equally. How much will each person pay?
i need the answer fasttttt
Each person need to pay $ 80.88345.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Bill without tax = 105.73
Tax = 6%
So, bill amount after tax = 105. 73 + 105. 73 x 6/100
= 105.73 + 6.3438
= $112.0738
Addition of 20% tip = 112.0738 + 211.46 = $323.5338.
If the amount is divided among 4 people, each will pay
= 323.5338/4
= $ 80.88345
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art contractors must locate an equipment staging area to serve three construction sites, located at (x,y) coordinates (0,3), (1,4) and (5,5). traffic between the staging area and each of the sites is 30 trips a week, except for the site located at (5,5), which is only 10 trips a week. what is the best set of co-ordinates for the equipment staging area?
Using the concepts of co-ordinate geometry, we got that (1.14,3.17) is best set of co-ordinates for the equipment staging if art contractors must locate an equipment staging area to serve the three construction sites, located at (x,y) coordinates (0,3), (1,4) and (5,5).
So, for x co-ordinates how we can find the output, for this we need to find that co-ordinate in which stagging area is maximum.
So that co-ordinate is given = [x-coordinate of point A + x-co-ordinate of point y)/2.0]-1.36
=>the best x-co-ordinate is =[(0+5)/2.0]-1.36
=>the best x-co-ordinate is =1.14,
Similarly, for the y-co-ordinate
the best y-co-ordinate is given by =[[y-co-ordinate of point A+ y-co-ordinate of point B]/2.0] +0.67
=>the best y-co-ordinate is given by =[(0+5)/2/0]+0.67=2.5+0.67
=>the best y-co-ordinate is given by=(
Therefore, the best x and y co-ordinate is (1.14,3.17)
Hence, when art contractors locate an equipment staging area to serve three construction sites, located at (x,y) coordinates (0,3), (1,4) and (5,5). traffic between the staging area and each of the sites is 30 trips a week, except for the site located at (5,5), which is only 10 trips a week. the best set of co-ordinates for the equipment staging area is (1.14,3.17).
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when playing yahtzee, you roll five regular 6-sided dice. how many different outcomes are possible from a single roll? the order of the dice does not matter.
Answer:
6
Step-by-step explanation:
A model of a car is 1 feet wide and 3 feet long. If the actual car is 15 feet long, what is the width of the actual car?
A. 3 feet
B. 5 feet
C. 15 feet
D. 45 feet
Answer:
5 feet.
Step-by-step explanation:
if we see that 3 feet is the model and 15 feet is the actual, we find the ratio is 3:15 or 1:5. since the width is 1 foot, then we see the actual is 5 feet long.
Which of the expressions below would help you to calculate the percent
increase from Value 1 to Value 2?
Answer:
D. (Value 2 - Value 1) ÷ Value 1Step-by-step explanation:
Percent increase is the percent of the increased value over the initial value.
In our case the increase is represented by the difference of values and the initial value is Value 1.
So the matching choice is D.
=====================================
Answer choices in the comment:
A. Value 2 ÷ Value 1B. Value 1 ÷ Value 2C. (Value 2 - Value 1) ÷ Value 2D. (Value 2 - Value 1) ÷ Value 1you roll a six-sided die 20 times. what is the probability of having exactly 8 rolls land on a number greater than 4?
The probability of getting a number greater than 4 when the dice is rolled 20 times is 7.
The number on dice greater than 4 is 2 (that is 5 and 6 on dice) thus the probability of getting a number greater than 4 is
P = 2/6
P = 1/3
This is the probability if the dice were rolled once but if the dice were rolled 20 times thus the probability, in this case, needs to be multiplied by 20
P = 1/3*20
P = 6.66
equivalents to 7
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The height, in feet, of a flying disc after t seconds is modeled by the equation h(t)=−4.5t^2+19.6t+3. What does the 3 in the equation represent?
The 3 in the equation is the starting point
Function given:
h(t) = −4.5t2 + 19.6t + 3
At t =0 we get h(0) = 3. This is called the y-intercept
It is the start point indicating the disc was thrown at 3 feet of height.
Using the common convention in geometry the horizontal axis in a graph in represented by the x-axis and the vertical axis in a graph is represented by the y-axis. The intercepts are the points on the graph at which the graph crosses the two axes. The point where the graph is drawn crosses the horizontal axis is called the x-intercept or the x-axis, and when the graph crosses the vertical axis is called as the y-intercept or the y-axis.
I hope this answer helps.
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Which answer is correct?
(A)4x + y = 6
−2x + y = −5
(B)x + y = 8
2x − 9y = 4
(C)x − 4y = −6
−2x − y = 5
(D) −x + y = 9
9x + 2y = 4
The system of equations best represented by the graph are 4x + y = 6 and −2x + y = −5
How to determine the system of equations represented by the graph?The solution of the equations plotted in the graph can be found by checking the point of intersection of the lines
By examining the given graph we can guess the x and y values of the point of intersection. We need to guess because we do not have a means of getting the exact value from the graph. I guess x = 1.9 and y = -1.4
In order to find the system of equations represented by the graph, we need to solve the equations given in the option and check which one gives us x and y values close to what we guessed from the graph
By Solving 4x + y = 6 and −2x + y = −5:
4x + y = 6 (1)
−2x + y = −5 (2)
Using elimination, subtract (2) from (1), this gives:
6x = 11
x = 11/6 = 1.83
Put x = 11/6 into (1):
4(11/6) + y = 6
y = 6 - 4(11/6)
y = 6 -44/6 = -4/3 = -1.33
Since these calculated values are very close to the guessed values
Therefore, 4x + y = 6 and −2x + y = −5 are the system of equations best
represented by the graph. So option A is the answer
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Which sentence describes a benefit that short-term disability insurance offers a policyholder?
A. It provides 30% to 40% of the policyholder’s income for up to one year.
B. It provides 10% to 25% of the policyholder’s income for up to two years.
C. It provides 50% of the policyholder’s income for up to one year.
D. It provides 40% to 60% of the policyholder’s income for up to one year.
The sentence that describes a benefit of short-term disability insurance is D. It provides 40% to 60% of the policyholder’s income for up to one year.
What is short-term disability insurance?Short-term disability insurance is meant to cover a portion of a person's wages in the event that they get injured such that they are unable to work and earn a salary in that time.
The short-term disability insurance policies these days generally cover about 40% to 60% of the income that the policyholder would have made in one year and so has less premiums.
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can someone do these for me pls i’m lazy
max and orlena bought 23 acres of land for $110,400. they bought some of the acres at $4000 per acre and some at $6300 per acre. how many acres did they buy at each price?
They bought 15 acres at $ 4000 per acre and 8 acres at $6300 per acre
Let,
They bought x acres at $ 4000
and ( 23-x ) acres at $ 6300
From information,
By using algebra,
4000x + 6300(23-x) = 110,400
4000x - 6300x+ 144900 = 110,400
-2300x = 110,400-144900
- 2300x = - 34500
x =34500 /2300
x = 15
x = 15
They bought 15 acres at $ 4000 per acre
(23 - 15 ) = 8 acres at $6300 per acre
Hence, they purchased 8 acres for $6300 per acre and 15 acres for $4,000 each.
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ERROR ANALYSIS Describe and correct the error. QRS=VWX by the ASA Congruence Theorem
Answer:
The error made is that the ASA theorem cannot be used here because the congruent side is not directly in between the two congruent angles in either triangle. Really, the information we are given is Angle-Side-Side, not Angle-Side-Angle, and this is not a congruence theorem unless the triangles given are right triangles.
You are a prep cook in a restaurant. A particular
recipe uses 4 cups sugar. You only need to
make 1/3 of the normal amount. How many cups of sugar should you measure?
passes through A (2, "-5)" parallel to BC with (1, 3) and ( 4, 5) PLS HURRRY!!!!!
The equation for the linear equation parallel to BC is:
y = (2/3)*x - 19/3
How to get the linear equation?
A general linear equation is written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
If the line passes through two points (x1, y1) and (x2, y2), then the slope is:
slope = (y2 - y1)/(x2 - x1)
And two lines are parallel if both lines have the same slope and different y-intercept.
So if we want to et a line parallel to BC whose endpoints are (1, 3) and ( 4, 5), the slope should be:
slope = (5 - 3)/(4 - 1) = 2/3
So our line is like:
y = (2/3)*x + b
And this must pass through (2, -5)
Replacing these values we get:
-5 = (2/3)*2 + b
-5 - 4/3 = b
-15/3 - 4/3 = b
-19/3 =b
Then the linear equation is:
y = (2/3)*x - 19/3
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(12x)^1/2 in radical form
Answer: [tex]\sqrt{12x}[/tex]
Step-by-step explanation:
Give the numerical coefficient of the term.
−7x
The numerical coefficient is _____.
The numerical coefficient is -7
How to determine the numerical coefficient?From the question, the expression is given as
-7x
Considering an expression given as
Ax
The numerical coefficient of the above expression is A
When compared to the expression -7x, we have
The numerical coefficient is -7
So, we can conclude that the numerical coefficient of -7x is -7
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Answer:
-7
Step-by-step explanation:
The numerical coefficient is -7
Of the students at Milton Middle School, 112 are girls. If 40% of the students are girls, how many total students are there at Milton Middle school
what is the smallest odd number you can make with 3 4 6 and 8
Answer: You cannot.
Step-by-step explanation:
3 can be multiplied into an odd number
4 cannot be multiplied into an odd number
6 cannot be multiplied into an odd number
8 cannot be multiplied into an odd number
Overall, you will not be able to get an odd number with the numbers provided.
Answer: 4683
Step-by-step explanation:
To have an odd number, and since the only odd number you have in your list is 3, that would be in the one's place. Then, you have to put the smallest number (except for 3) in the front. Now, you have two more places to fill in (4 _ _ 3). Like the 4, put the 6 after the 4 to have the smallest possible hundreds place. Now place the eight. Your final number should be... 4683.
Which point is located on the x-axis?
Answer:7
Step-by-step explanation:
yabba dabba doo
Can somone help me with this will mark u brainliest
Answer:
[tex] = 3 + \sqrt{25 } - \sqrt{12} \\ = 3 + 5 - \sqrt{12 \\ } \\ = 8 - \sqrt{12} [/tex]
[tex] = 8 - 2 \sqrt{3} [/tex]
option d is correct
express (3) - (2tan^2 x) in terms of cos x
The expression of [tex]3-2tan^2x\\[/tex] in terms of [tex]cosx[/tex] is [tex]3-2(\frac{1-cos^2x}{cos^2x})[/tex]. Similarly, any tirigonometric equation can be convereted into other forms of trigonometric functions.
What is trigonometric functions?
Denoting the relation between a right-angled triangle's angle and sides are trigonometric functions, which are periodic functions.
Consider the given expression.
[tex]3-2tan^2x\\[/tex]
Now, substitute [tex]\frac{sinx}{cosx}[/tex] for [tex]tanx[/tex] as follows:
[tex]3-2tan^2x=3-2(\frac{sinx}{cosx})^2\\=3-2(\frac{sin^2x}{cos^2x})[/tex]
Now, all the terms are converted into cos x except the sin x terms in the numerator. Hence, using the relation between sin x and cos x. Substitute [tex]1-cos^2x[/tex] for [tex]sin^2x[/tex].
[tex]3-2tan^2x=3-2(\frac{1-cos^2x}{cos^2x})[/tex]
Now, all the terms are in cos x. Hence, the expression of [tex]3-2tan^2x\\[/tex] in terms of [tex]cosx[/tex] is [tex]3-2(\frac{1-cos^2x}{cos^2x})[/tex]. In the similar way any function can be conveted into other trigonometric functions.
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5+9=21.38 what is the answer too this problem
Quadrilateral PONY is rotated 180° about the origin.
Draw the image of the rotation
The given quadrilateral PONY is rotated to 180° as P'O'N'Y' and its coordinates are:
P': (2, -7)O': (2, -3)N': (6, -3)Y': (5, -6)What is rotation?A transformation in geometry is an action that moves, flips, or modifies a shape to produce a new shape. A rotation is an example of a transformation where a figure is rotated a set number of degrees around a fixed point (referred to as the center of rotation).The circular motion of an item around a center or axis is the definition of rotation in mathematics. The rotation of the earth on its axis is one of the best examples of rotation in nature.So, rotate the given quadrilateral at 180° as follows:
Given quadrilateral: PONY
P: (7, -2)O: (3, -2)N: (3, -6)Y: (6, -5)Rotate to 180° and plot as follows:
Quadrilateral after rotation: P'O'N'Y'
P': (2, -7)O': (2, -3)N': (6, -3)Y': (5, -6)(Refer to the graph attached below)
Therefore, the given quadrilateral PONY is rotated to 180° as P'O'N'Y', and its coordinates are:
P': (2, -7)O': (2, -3)N': (6, -3)Y': (5, -6)Know more about rotation here:
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Answer:
P': (2, -7)
O': (2, -3)
N': (6, -3)
Y': (5, -6)
Step-by-step explanation:
Lolly wrote a total of 10 pages over 5 hours. How many hours will Lolly have to spend writing this week in order to have written a total of 20 pages?
Answer:
10 hours
Step-by-step explanation:
since she spent 5 hours writing 10 pages. you just have to multiple by 2 to know how long it will take to write 20 pages
Graph the line with slope 1 passing through the point -2, -5 .
~Shown Graph and Question~
Answer: y = x - 3
Step-by-step explanation:
Answer:
y = x+3
Step-by-step explanation:
First of all we have to find the equation of the line
Slope-intercept form is:
[tex]y=mx+b[/tex]
Putting the value of slope
[tex]y=x+b[/tex]
Putting the point in the equation
(-4,-1)
[tex]-2=-5+b\\b=-2+5\\b=3[/tex]
So the equation is:
[tex]y=x+3[/tex]
The graph is attached with the answer
Keywords: Equation of line, slope
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Use the properties of operations to multiply (8-2x) (-0.25x)
_x + _x^2
the _ is the blanks im supposed to fill in
The blanks are -2 and 0.5 respectively, by solving the expression (8 - 2x) *(-0.25x)
What does the term Algebraic Expression means?
In mathematics, an algebraic expression is an expression composed of variables and constants as well as algebraic operations (addition, subtraction, etc.). Terms combine to form expressions.
Solution:
Given the expression, we need to solve it by using the properties of basic multiplication.
= (8 - 2x)*(-0.25x)
= (8*(-0.25x)) + (-2x * (-0.25x))
= -2x + 0.5[tex]x^{2}[/tex]
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