Las edades de cuatro hermanos forman una progresión aritmética, y su suma es 32 años. El mayor tiene 6 años más que el menor. Halla las edades de los cuatro hermanos.

Answers

Answer 1

Answer:

The ages of the four siblings are: 5, 7, 9 and 11 years old.

Step-by-step explanation:

The computation of the age of the four siblings is shown below:

Given that

n = 4

a1 =? a2 =? a3 =? a4 =?

a4 = a1 + 6 years

S4 = 32

Based on the above information

As we know that

Sn = (a1 + a4) ×  n ÷ 2

S4 = (a1 + a4) × 4 ÷ 2

32 = (a1 + a1 +6) × 2

16 = 2a1 + 6

 2a1 = 10

 a1 = 10 ÷ 2

= 5

So,  a4 = a1 +6

= 5 +6

= 11

a4 = a1 + (4-1) × d

11 = 5 + 3 × d

d = 6 ÷ 3

= 2

So,

a2 = a1 + d

= 5 + 2

= 7

a3 = a2 + d

= 7 + 2

= 9

Hence, The ages of the four siblings are: 5, 7, 9 and 11 years old.


Related Questions

it took 4 hours to drive 240 mile. At this rate, how long does it take to drive 90 miles​

Answers

Answer:

1 hour and 30 minutes

Step-by-step explanation:

4 hours = 240 miles

1 hour = 240 ÷ 4 = 60 miles

90 ÷ 60 = 1.5 hours =

1 hour and 30 minutes

The weight of one serving of chips is 2 1/4 oz. How many servings are there in a 22 1/2 oz bag of chips?

Answers

Answer:

22 1/2 ÷ 2 1/4 = 10 servings

1/6 ÷ 2 = 12 (true or False)?
5 ÷ 1/4 = 1/20 (true or False)?
1/3 ÷ 8 = 1/24 (true or False)?
1/8 ÷ 5 = 40 (true or False)?
4 ÷ 1/7 = 28 (true or False)?

Answers

Answer:

False, False, True, False, True

Step-by-step explanation:

When you divide by a whole number, the answer always come out smaller

When you divide by a fraction, the answer always come out larger

I need to solve for x this is really easy I just don't have the time to do it please help.​

Answers

Both of the angles need to equal to 180 (since they are interior angles)

2x+76=180
2x=104
x=52

Hope this helps!! :)

Answer:

2x+76°=180°[by co interior angle]

2x=180°-76°

2x=104°

x=104°/2

x=52

¿Cuál es el valor de x en la siguiente ecuación?


4X =8 -8

Answers

4x=8-8
4x=0
0/4
x=0
el valor de x va a ser 0.

Can anybody help me please

Answers

Answer:

(2,5)

Step-by-step explanation:

It's the coordinates of the point where the lines cross

Answer:

4=7

Step-by-step explanation:

because you have to look down where the arrows are pointing. I  hope you pass whatever your taking!

Which numbers from the set {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10), if any, will solve this equation?

2x + 3 = 5x - 3

Answers

Answer:

2

Step-by-step explanation:

2(2)+3=7

5(2)-3=7

Answer:

2

Step-by-step explanation:

2 multiplied by 2 is 4+3=7 and 5x2=10-3=7

Marcia is using base ten blocks to multiply decimals. He is using the flat to represent one whole.
one whole
Which of the following multiplication expressions is Marcia representing below?

Answers

Answer:

nice

Step-by-step explanation:

Simplify
21x®y:
14x’yº
PLEASE HELPPPP

Answers

Answer:

3x/2y

Step-by-step explanation:

i hope this helped you!! :)

ANSWER CHOICES LISTED
what transformation to the linear parent function f(x)=x gives the function g(x)= -4x? select ALL that apply

a. Horizontally stretch by a factor of 4
b. Shift 4 units down
c. Vertically stretch by a factor of 4
d. Reflect over the x-axis

Answers

Answer:

c, d.

Step-by-step explanation:

c; A vertical stretch by 4 will put the coefficient (in this case 4) in front of your original equation.

d; the negative in front of the whole equation (-4x) will flip the graph across the x-axis.

PLEASE HELP ME. I WILL MARK YOU AS BRAINLINEST
Here are Xavier's bowling scores:
135, 140, 130, 190, 112, 200, 185, 172, 163, 151, 149
what is the standard deviation rounded to the nearest tenth?

Answers

Answer:

26.3

Step-by-step explanation:

the first guy was close, for those of you who struggle with acellus im here to help haha

What is the mean of 46, 37, 34, 31, 29, and 24?

Answers

add them all up
46+37+34+31+29+24=201
201 divide by 6 is 33.5

PLEASE HELP ME WITH THIS !!

Answers

3x3.5=10.5ft since 1 cm=3.5ft, and the car is 3cm
D) 10.5ft should be the correct answer

A bag contains 8 blue marbles, 11 green marbles, and 7 red marbles. Which is the probability of drawing a green marble, replacing it AND then drawing a red marble from the bag?

A. 18

B. 77/676

C. 9/13

Answers

Answer:

I think it would be C. 9/13.

Answer:

B

Step-by-step explanation:

11/26 x 7/26 = 77/676

If quadrilateral JKLM is a rhombus, find m

Answers

The correct answer is 108°
90+36=126
180-126=54
54x2= 108°

10
10
Identify the equation of the graph shown.
y = 2x - 3
B)
y = 2x + 6
C)
y = 0.5x + 6
D)
y = 0.5x - 3

Answers

Answer:

The answer is C hopefully this helps

Step-by-step explanation:

Jalen is computing the slope of the line on the graph below.

On a coordinate plane, a line goes through points (negative 4, 0) and (2, 3).

Step 1: (–4, 0) and (2, 3)

Step 2: StartFraction negative 4 minus 2 Over 0 minus 3 EndFraction

Step 3: StartFraction negative 6 Over negative 3 EndFraction

Step 4: The slope is 2.

Which statement describes Jalen’s error?
Jalen computed the ratio of change in x to change in y.
Jalen used the ordered pairs in the wrong order.
Jalen made a computational error.
Jalen used an ordered pair that is not on the line.

Answers

I think the possible answer is Jalen used an ordered pair that is not on the line

Answer:

Jalen used an ordered pair that is not on the lineStep-by-step explanation:

Ayúdenme por favor es muy importante

Answers

Answer:

boop

Step-by-step explanation:

Answer:

15-378099

Step-by-step explanation:

wjjcbm car red saw sell cell problem see one the window

What is the length of the diagonal from vertex J to vertex L in the quadrilateral below? A. √113 B. 11 units C. √103 D. 3 √33

Answers

Answer:

the answer is B.

Step-by-step explanation:

I'd be happy if you could help!​

Answers

Step-by-step explanation:

Circumference=22π

2πr=22π

r=11 in.

Area=121π in.²

Hope it helps you

The manager of a music store surveyed a random sample of customers who shop in the store about their favorite type of music. The table shows the number of customers who selected each type of music.​

Answers

Answer:

C

Explanation:

Add all the people of the compared categories together

5 + 9 + 12 = 26

26 < 27 is true

therefore, C

Determine the quadrant in which the terminal side of theta lies.

Answers

Answer:

A) 2nd quadrant

B) 2th quadrant

Step-by-step explanation:

hope this helps have a nice day!!

Find the slope of the line
y = -5x + 5

Answers

Answer:

-5

Step-by-step explanation:

this is a y = mx + b equation. m is slope.

Answer:

-5

Step-by-step explanation:

When a linear function is in the form y=mx+b then m represents the slope of the line.

Nina pays $32.67 to mail a package. It costs $0.45 per ounce to mail package. How much does Nina's package weight?

Answers

The photos are not there they are lying

-17<7n +4 < 46 help asap

Answers

Answer:

- 3 < n < 6

Step-by-step explanation:

Given

- 17 < 7n + 4 < 46 ( subtract 4 from each of the intervals )

- 21 < 7n < 42 ( divide each interval by 7 )

- 3 < n < 6

4x+5-x=10+3x+4
solution

Answers

Answer:

9

Step-by-step explanation:

4x-x=3x

3x±5=10±3x±4

10±4=14

14±3x

3x±5=14±3x

3x-3x=14-5

3x-3x=0

14-5=9

10. Find the vertex, domain and range from the function y = = 2|x|
a V(2,0), Domain: x E R, Range: y E (00, 2]
b V(0,2), Domain: x E R, Range: y € [2,00)
C V(0,0), Domain: x E R, Range: y € (0,0]
d V(0,0), Domain: x E R, Range: y € [0, 0)
Check it
skip

Answers

The answer would be a-v(2,0),domain: x E R, Range: y E (00,2]

Which of the following is true about the diagonals of a rectangle? Select all that are true.
Diagonals bisect each other.
Diagonals are congruent.
Diagonals are perpendicular.
Diagonals bisect the angles.

Answers

Answer:

Diagonals bisect each other.Diagonals are congruent.Diagonals are perpendicular.Diagonals bisect the angles

Robin has a collection of dimes, nickels and quarters. He has 4 times as many dimes as nickels. He has 20 more quarters than nickels. The
ratio of the number of dimes to the number of quarters is 3:2. Which equation can be used to calculate the number of nickels, n, Robin
has?
OA
Exh
8:33
acer

Answers

Answer: Robin has 50 nickels, 60 dimes, and 120 quarters.

Step-by-step explanation:

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Answers

Answer:

A) 7x^5 + 2x^2 + 6

Step-by-step explanation:

I hope this helps.

Answer:

The answer is A

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