Al padre de Juan le faltan 2 años para tener el doble de la edad de su hijo. Hace 16 años el padre tenía el triple de la edad de Juan. Calcular la edad actual del padre y del hijo.

Answers

Answer 1

Answer:

La edad actual de Juan es 34 años y la de su padre es 70 años.

Step-by-step explanation:

De acuerdo a la información proporcionada, puedes decir que la edad del padre de Juan más 2 años es igual a dos veces la edad de su hijo, lo que se puede escribir de la siguiente forma:

x+2=2(y+2), donde: x es la edad del padre de Juan y y es la edad de Juan

x+2=2y+4

x=2y+4-2

x=2y+2 (1)

Además, dado que se menciona que hace 16 años el padre tenía el triple de la edad de Juan, puedes decir que la edad del padre de Juan menos 16 años es igual 3 veces la edad que tenía Juan:

x-16=3(y-16) (2)

Ahora puedes reemplazar (1) en (2):

2y+2-16=3y-48

2y-14=3y-48

-14+48=3y-2y

y=34

Finalmente, puedes reemplazar el valor de y en (1)

x=2(34)+2

x=68+2

x=70

De acuerdo a esto, la respuesta es que la edad actual de Juan es 34 años y la de su padre es 70 años.


Related Questions

7. Write an equation and solve for b.

PLEASE HELP ​

Answers

Answer:

b = 9.

Step-by-step explanation:

7b - 5 = 58

7b = 58 + 5

7b = 63

b = 9.

Don’t answer if you don’t know, plz. Thanks.

Answers

B. I did this test too.

Leo flips a paper cup 50 times and records how the cup landed each time. The table below shows the results. Based on the results, how many times can he expect the cup to land on its side if it is flipped 1,000 times?

Answers

Answer:440

Step-by-step explanation:

Answer: 440 you are welcome. De nada

10 pts!
1. An island is considering adding another character to their vehicle license plates in order to increase the
number of license plates available. Currently, a license plate must have exactly four-character spaces. Each
character space may be filled with any capital letter other than I, B, Z, or O or any number between, and
including 0 to 9. Letters and numbers may repeat on the plates.
(a) How many different license plate numbers are available under the current structure of exactly four
characters per plate?
Please show all steps and work! Thank you!

Answers

Step-by-step explanation:

so 26 minus 4 is 22 for letters so 22 times 22 times 22 times 22 and thats for letters and for numbers its 10 x 10 x 10 x 10 i dont really umderstand the question but you can have 244256 possible license plates there

In ΔXYZ, ∠X=59° and ∠Y=21°. ∠XWZ=90° and XY=6.1. Find the length of XW to the nearest 10th.

Answers

Answer:

this is question is wrong it you typed it wrong

how come the triangle named XYZ and the angle wxz and if there 2 triangles one must be a failure because there is no triangle which all his angels equals more than 180°

look again and if possible take a picture of the question

can someone pls explain how to solve problems like this?? ty

Answers

Answer:

hi so basically you find area the way you normally would, length width etc, and then you also find the area of the triangle inside and subtract that amount from the area you first got from the rectangle. sorry if this doesn't make sense, good luck!

Step-by-step explanation:

The student who traveled to states visited new states during a vacation. Does increasing the to change the​ median? If​ so, how?

Answers

Step-by-step explanation:

The exact question is as follows :

Given - The student who traveled to 3 states visited 6 new states during a vacation.

To find - Does increasing the 3 to 6 change the​ median? If​ so, how?

Proof -

Yes,

If we increase the 3 states to 6 states, it changes the median

Because

The median of the first 3 states is the middle state.

For example -

If we have 3 states X, Y, Z

Then the median is the state Y

Now,

The median of 6 states is the average of the 2 middle states.

For example -

If we have 6 states

X, Y, Z, U, V, W

Then

The median is not explicit.

Median is the average of the two middle states, Z and U.

And

Average of Z and U =  half of the sum of Z and U.

i.e.  (Z + U)/2.

And we can see that,

Median of 3 States is not equal to Median of 6 states

i.e. Y is not equal to (Z + U)/2.

So,

We can say that,

Increasing the state 3 to 6 changes the​ median.

According to the weather
forecast, the probability
that it will rain on
Wednesday is 0.85. What
is the probability that it
will not rain?

Answers

Answer:

0.15

Step-by-step explanation:

1.00 - 0.85 = 0.15

Answer: .15

Step-by-step explanation: The reason being is if .85 is equal to 85 % then there is only 15 % left so the answer is .15

The relationship between the number of years (x) that have passed and the population (y) for a small town is shown in the table.
Population Count Per Year
2 3 4
Number of Years (x)
1
5
6
7
8
Population (y)
1,440 1,728 2,074 2,488 2,986 3,583 4,300 5,160
A regression equation for this data is y = 1, 200(1.2).

Answers

Answer:

D. 10,699

Step-by-step explanation:

The given data for the Population Count Per Year is presented as follows;

Number of Years (x); 1, 2, 3, 4, 5, 6, 7, 8

[tex]\begin{array}{ccccccccc}Number \ of \ Years \ (x)&1&2&3&4&5&6&7&8\\Population \ (y)&1,440&1,728&2,074&2,488&2,986&3,583&4,300&5,160\end{array}[/tex]The data regression equation is y = 1,200·(1.2)ˣ

Based on the regression equation for the data, the predicted value of the town's population after 12 years is given by substituting x = 12 as follows;

After 12 years, y = 1,200 × (1.2)¹² ≈ 10,699.32

Therefore, the option which is the best prediction is 10,699.

You place a ladder against the top of a 18-foot building. The bottom of the ladder is 8.5 feet from the bottom of the building. How long is the ladder? Show your work for full credit.

Answers

Answer: 26.5 feet

Step-by-step explanation:

2/5 × [ -3/7] - 1/6 × 3/2 + 1/14 × 2/5

Answers

Step-by-step explanation:

here is the answer watch the picture

Answer:

[tex]\frac{-11}{28}[/tex]

Step-by-step explanation

2/5 × (-3/7) - 1/6 × 3/2 + 1/14 × 2/5

= -6/35 - 1/4 + 1/35

= -11/28

Use the image below to answer the next 3 questions. Each question will have 3
parts. For m=and b=, you just write the number. For the Equation part, you need
to write y= and then fill in the slope and y intercept.
Practice : Finding Slope-intercept Form
I. Determine the slope and y-intercept for each line shown. Then write the equation of the line
1. y.
2.7. -
3.y.
ME
b
12
Your answer

Answers

Answer:

you didnt attach an image

Step-by-step explanation:

Help me please I don't understand

Answers

Answer:

Q1: E N W G Y U

Q2: R D S Q

Q3: X

Q4: B M F P L

1. N 3. L 5. Q 7. W

2. G 4. B 6. E 8. Y

9. S: (-5,+5) 11. D: (-4,+2) 13. M: (+1,-5) 15 X: (-7,-8)

10. R: (-1,+3) 12. U: (+1,+1) 14. P: (+8,-4) 16. F: (+7,-6)

I can't add the points on the graph tho sorry:(

Which is the graph of 0.5 g (x minus 2) + 1?

Answers

Your answer just going to be 0.5x

create an expression that when combined equals 5x+2y
(must be at least 3 terms)

Answers

you could do 3x+y+2x+y

A park charges $45 to enter and $0.75 per game. Write an algebraic expression to represent the total amount paid by a guest.​

Answers

Answer:

y = 0.75x + 45

Step-by-step explanation:

x would be the amount of games played and y would be the total money spent.

Answer:

y= 0.75x+45

Step-by-step explanation:

y= total amount paid by guest

x = # of games

0.75 x = $0.75 paid per game

45= minimum charge of 45 to enter park

Which expression gives the length of QR in the triangle shown below?
R
17
25
A. 172 + 252
B. V17 + 25
C. 17 + 25
D. 1172 +257

Answers

The correct answer is D

Peter invested $1860 for 10 months at a rate of 3.8%. How much interest did he earn?

Answers

Peter invested $1860 for 10 months at a rate of 3.8%. How much interest did he earn?????

He would end up with 18,600

Answer: he earned 10 percent intrest.

here is the next one. sorry

Answers

Answer:

$5.30

Step-by-step explanation:

23.85/9=$2.65

2.65*2=$5.30

Answer:

I don't know if this is right but I got $5.30.

Step-by-step explanation:

I did 23.85/9 to get how much each pane is than I multiplied by 2 to get the cost of the 2 new panes.

23.85/9= 2.65

2.65*2 = 5.3

A triangle has side length measurements of 7 ft., 2 ft., and 5
feet. Can this form a triangle? Explain why or why not.

Answers

Answer:

No

Step-by-step explanation:

The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.

2 + 5 is only equal to 7

not greater than 7

The name on the figure ?

Answers

Answer:

Line segment AB

Step-by-step explanation:

Answer:

Line segment AB

Step-by-step explanation:

A line goes without end in both directions.

A ray has 1 endpoint and goes without end in 1 direction.

A line segment has 2 endpoints.

which of the following can be used to prove that ABC = ADC

Answers

I think option c because you can use the shared side, and then the two angles that are equal thus SAA

How are finding the volume of a rectangular prism and a triangular prism alike

Answers

Answer:

the triangular prism is ⅓ the size of the rectangular prism. they have the same concept equation of:

rectangular prism - length×width×height

triangular prism - ½×length×width×height

they both have to multiply the base and height to find the volume

Answer:

Finding the volume of a rectangular and triangular prism are alike, one way is they use similar formula base x length x height. Another way is They both have rectangle in the prism.

Step-by-step explanation:

Jillian's puppy weighed 16 pounds at the age of 2 months. It weighed 60 pounds at the age of 8 months. What is the percent change in the puppy's weight?

Answers

Answer:the percent change in the puppy's weight= 275%

Step-by-step explanation:

Jillian's puppy Weight  at 2 months  =16 pounds

Jillian's puppy Weight  at 8 months  =60 pounds

percent change in the puppy's weight= change in weight / Old weight  x 100

(60 pounds -16pounds ) / 16  x 100

44/16 x 100  = 275%

Emily has $100 extra to spend on supplies for her T-shirt-making business.
She wants to buy ink, i, which costs $5 a bottle, and new brushes, b, which are
$12 each. Which inequality below represents this scenario?

A. 12i + 5b < 100
B. 5i + 12b < 100
C. 5i + 12b > 100
D. 5i + 100 < 12b

Answers

Answer:

B. 5i + 12b < 100

Step-by-step explanation:

I used process of elimination on to figure this one out.

I first eliminated A because I knew the i should be next to the 5. I know this because i (ink) costs 5 dollars each.

I next eliminated D because this equation is looking to find the sum of the ink and the new brushes, not the ink plus the total cost equaling the brushes.

Finally, I eliminated C because Emily only has $100, so the cost of the ink (i) and the brushes (b) must NOT excede 100 dollars. From this, I can see that C states that the sum exceeds Emily’s $100 budget

This leaves us with B as the final answer

Hope this helps! Have a lovely rest of your day!

FAST (will give brainilyist)
solve for A

Answers

Answer:

a = 4[tex]\sqrt{5}[/tex]

Step-by-step explanation:

pythagorean theorem:

a² + 8² = 12²

a² + 64 = 144

a² = 80

a = [tex]\sqrt{80}[/tex]

a = [tex]\sqrt{4}[/tex]·[tex]\sqrt{4}[/tex]·[tex]\sqrt{5}[/tex] which simplifies to be 4[tex]\sqrt{5}[/tex]

Let f(x) = - x ^ 3 - (4x - 1) Find f(- 5)

Answers

Answer:

146

Step-by-step explanation:

replace every x with -5

HELPPPPP PLEASEEEEE IMM BEGGING

Answers

Step-by-step explanation:

Answer: 34 in^2

The area of the parallelogram is 36 in^2

The formula is base x height

The area of the rect= 2 in^2

36-2=34 in^2

answer: 35cm
step-by-step explanation:

What is the area of the semi circle whose radius is 8cm

Answers

Answer:

Area of a semicircle = ½ × πr²

= ½ × 3.14 × (8)²

= 3.14 × 4 × 8

= 100.48 cm²

what is 2.2r+7=18+7.7r

Answers

Answer: r = — 2

Step-by-step explanation:

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