The sum of four siblings ages is 71. The second child’s age is twice the youngest, the third child’s age is twelve more than the youngest, and the oldest child is four less than three times the youngest. Find each of the siblings ages.

Answers

Answer 1

Answer: 9, 18, 21, and 23 respectively

Step-by-step explanation:

To solve any problem like this, you want to assign a variable to each child because you dont know their age. So lets write an equation and assign variables to these children.

r = first child (youngest)

x = second child

y = third child

z = fourth child (oldest)

We know that r + x + y + z = 71

We also are given info on the comparisons of their ages.

r = r

x = 2r (2 times the youngest)

y = 12 + r (12 more than the youngest)

z = 3r - 4 (4 less than 3 times the youngest)

That was the easy part tbh, now we have to solve for 'r'. We can see that all the ages are a function of the same variable (r), and we know the sum of them is equal to 71. So lets solve for r and then plug that r value into each equation we just derived.

Child #1 (youngest)

[tex]r+2r+(12+r)+(3r-4)=71\\3r+12+r+3r-4=71\\7r+12-4=71\\7r+8=71\\7r=63\\r=9yrs[/tex]

Child #2

[tex]x=2*9=18yrs[/tex]

Child #3

[tex]y=12+r=12+9=21yrs[/tex]

Child #4 (oldest)

[tex]z=3r-4=(3*9)-4=27-4=23yrs[/tex]

Fact Check:

[tex]9+18+21+23=71[/tex]


Related Questions

Pls Help again I have to post separately​

Answers

?g hi hi hey v icefish ufujzu
answer to 11 is 14 cm.

What are the 2 points on the graph? Choose 2

A. (1,2)
B.(2,1)
C.(-1,2)
D.(0,0)

Answers

A is the answer Bc you start on the x-axis end this go up 1 over 2

Answer:

C,D

Step-by-step explanation:

y+x=10
2x=4y-2
Solve of systems of equations

Answers

Answer:

{y,x}={  

3

11

​  

,  

3

19

​  

}

Step-by-step explanation:

If the graph of a system of two equations results in the same EXACT line, then there is/are:
No Solution
One Solution
Infinite Solutions

PLEASE ANSWER QUCIKY

Answers

Answer:

Infinite Solutions

Step-by-step explanation:

If its the same line then any point is a viable answer

The awnser is infinite solutions

Please help me
An equation that has no solution is known as:
(1) impossible
(2) inconsistent
(3) incomplete
(4) an identity

Answers

inconsistent equation

You start at (4,4). You move up 1 unit and left 7 units. Where do you end?

Answers

Answer: i believe it would be (-3 , 5)

Step-by-step explanation:

Correct me if im wrong

Answer:

(-3, 5)

Step-by-step explanation:

I could be mistaken, but I'm pretty sure it's that. You may want to graph the point yourself and double-check just to make sure.

Use the distributive property to write an equivalent expression.

8(4t + 9)

Answers

Answer:

32t+72

Step-by-step explanation:

The average high temperature during the hottest month in Beijing, China, is 72°F. The average high temperature during the coldest month in Beijing is 18°F. The function t = 27 cosine (pi/6(m-6)) + 45, where m represents the number of months after January, models the temperature throughout the year in Beijing.

What is the first month in the year when the temperature reaches 55°F?
A. March
B. April
C. July
D. September

Answers

Answer:

It's April

Step-by-step explanation:

Answer: B

April

Step-by-step explanation:

A shopper uses a department-store gift cared to pay for 3 sweaters priced at $27. What is the change in the value of the gift card?

Answers

Answer:

$81

Step-by-step explanation:

27+27+27=$81

3x – 1 = 2(x + 34)
what is the answer in feet and inches?

Answers

Answer is x=69. In inches is 69 inches. In feet is 5 feet and 9 inches

Answer:

inches:-69

feet:-5 9/12 (-5 3/4 simplified)

Step-by-step explanation:

Write out the equation and distribute.

3x – 1 = 2(x + 34)

3x - 1 = 2x + 68

Get rid of the variable on one side first (it makes solving the equation less complicated.)

3x - 1 = 2x + 68

-3x       -3x

-1 = -x + 68

Subtract 68 on both sides.

-1 = -x + 68

-68       -68

-69 = x

I'm guessing that the answer in feet and inches would be...

inches:-69

feet:-5 9/12 (-5 3/4 simplified)

I'm not sure how feet and inches can be negative, but that's what I got for the answer...hope this helps! Have an amazing day C:

Math math math :D


Please help me!

Answers

2.75________________________________________

Answer:

£4.48

Step-by-step explanation:

You are helping your older sibling look for an apartment. There are 2 final choices. Apartment A is $1200 per month and requires a security deposit of $1000. Apartment B is $1175 per month and requires a security deposit of $1500. How many months will it be before the costs are the same?

Answers

Answer:

20 months.

Step-by-step explanation:

Let the number of months be represented as x

Apartment A is $1200 per month and requires a security deposit of $1000.

= $1200 × x + $1000

1200x + 1000

Apartment B is $1175 per month and requires a security deposit of $1500.

= $1175 × x +$1500

1175x + 1500

Apartment A = Apartment B

1200x + 1000 = 1175x + 1500

Collect like terms

1200x - 1175x = 1500 - 1000

= 25x = 500

x = 500/25

x = 20

Therefore, the costs for both apartment A and B will be the same after 20 months.

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

kayla and 9968

Step-by-step explanation:

Answer:

Jeff, 9968

Step-by-step explanation:

you can take the tens and ones of the number you are multiplying by and use those number to multiply by the first number

50 is in the tens

6 is in the ones

178×56= 9968

ill mark brainllest if right

Answers

Answer:

The most sense-making answer according to my calculation is B

Step-by-step explanation:

Pls consider marking my answer as Brainliest! It would mean a lot!


Helppppp! I dot know the answer

Answers

Answer:

L

Step-by-step explanation:

the square root is 7.2111111. thats the closest

Answer:

C. l

Step-by-step explanation:

The square root of 52 is about 7.211.

Since there is a negative sign in front of the square root, then it means that the answer is about -7.211.

On the number line you have a little bit over -7.3, a little less than -7.3 and a little more than -7.2. The closest answer would be the point that is a little more than -7.2.

Please correct me if I am wrong. I hope this helps!

What’s the slope of this chart?

Answers

The slope is 9
You use the formula y=mx+b and plug in the y and x from the chart. I’m not 100% sure cuz I did this 3 years ago so sorry if it’s wrong!

What is 5x+2-4x+3 please I need help

Answers

Answer:

1x+5

Step-by-step explanation:

Question 3 (20 points)
Factor:
36x2 - 81y2

(6x + 9y)(6x + gy)
(9x - 9y)(4x + 9y)
(6x - 9y)(6x - 9y)
(6x - 9y)(6x + 9y)

Answers

It is the last answer choice (6x-9y)(6x+9y)

The factors of the expression 36x² - 81y² will be (6x - 9y) and (6x + 9y). Then the correct option is D.

What is factorization?

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given below.

⇒ 36x² - 81y²

Factorize the expression, then we have

⇒ 36x² - 81y²

⇒ (6x)² - (9y)²

⇒ (6x - 9y)(6x + 9y)

The factors of the expression 36x² - 81y² will be (6x - 9y) and (6x + 9y). Then the correct option is D.

More about the factorization link is given below.

https://brainly.com/question/6810544

#SPJ2

Find the domain of the function expressed by the formula: y=x²+8
Please help ASAP.

Answers

Answer:

x is all real numbers.

Step-by-step explanation:

The domain of a function is a set of all real numbers.

X-4>3
Hellllp me please

Answers

x is equal to 8 and any numner greater than 8

Answer:

X is larger than 7

Step-by-step explanation:

X-4>3

X>3+4

X>7

Which one do not lie!!!!!!

Answers

Answer:

C.The equation has a positive y-intetcept

Step-by-step explanation:

def not lying

HELP PLEASE TO CONFUING FOR ME

Answers

Answer:wow this is hard

Step-by-step explanation:

Find the LCM (least common multiple) of 15 and 8.

LCM =

Answers

Answer:

120

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

If a || b, m<2 = 63°, and m<9 = 105°, give the measure of each angle.
m<1 =
M<3=
m<4=
m<5=
m<6=
m<7=
m<8=
m<10=
m<11=
m<12=
m<13=
m<14 =

Answers

Answer:

a.    m<1 = 105° - 63°                  m<1 = 42°

b. m<3 + m<2 + m<1 = 180°      m<3 = 75°

c. m<4 = m<1                             m<4 = 42°

d. m<5 = m<2                            m<5 = 63°

e. m<6 = m<3                             m<6 = 75°

f. m<7 = m<9                             m<7 = 105°

g. m<8 = m<6                             m<8 = 75°

h. m<10 = m<8                            m<8 = 75°

i. m<11 = m<4                               m<11 = 42°

j. m<12 = 180° - m<11                   m<12 = 138°

k. m<13 = m<11                            m<13 = 42°

l. m<14 = m<12                            m<14 = 138°

Step-by-step explanation:  Sorry if not all are correct

Applying the relationship existing between angle pairs, the measure of each angle in the image are:

m<1 = 42°

m<3 = 75°

m<4 = 42°

m<5 = 63°

m<6 = 75°

m<7 = 105°

m<8 =  75°

m<10 = 75°

m<11 = 42°

m<12 = 138°

m<13 = 42°

m<14 = 138°

Given that a || b, where:

m<2 = 63°m<9 = 105°, the missing angle measures will be determined as follows:

Find m<1:

m<1 + m<2 = m<9 (exterior interior angle theorem)

Substitute

m<1 + 63° = 105°

m<1 = 105° - 63°

m<1 = 42°

Find m<3:

m<1 + m<2 + m<3 = 180° (angles on a straight line)

Substitute

42° + 63°+ m<3 = 180°

105° + m<3 = 180°

m<3 = 180° - 105°

m<3 = 75°

Find m<4:

m<4 = m<1 (vertical angles theorem)

Substitute

m<4 = 42°

Find m<5:

m<5 = m<2 (vertical angles theorem)

Substitute

m<5 = 63°

Find m<6:

m<6 = m<3 (vertical angles theorem)

Substitute

m<6 = 75°

Find m<7:

m<7 + m<6 = 180° (corresponding angles theorem)

Substitute

m<7 + 75° = 180°

m<7 = 180° - 75°

m<7 = 105°

Find m<8:

m<8 = m<6 (alternate interior angles theorem)

Substitute

m<8 =  75°

Find m<10:

m<10 = m<6 (corresponding angles theorem)

Substitute

m<10 = 75°

Find m<11:

m<11 = m<4 (alternate interior angles theorem)

Substitute

m<11 = 42°

Find m<12:

m<12 = m<6 + m<5 (alternate interior angles theorem)

Substitute

m<12 = 75° + 63°

m<12 = 138°

Find m<13:

m<13 = m<11 (vertical angles theorem)

Substitute

m<13 = 42°

Find m<13:

m<14 = m<12 (vertical angles theorem)

Substitute

m<14 = 138°

Learn more here:

https://brainly.com/question/24607467

what is 4 divided by 6

Answers

2/3 or 0.6 repeat
Pls mark me brainliest

A bag contains 120 marbles. Some are red the rest are black. There are 19 red marbles for every black marble. How many red marbles are in the bag?

Answers

Answer:

114

Step-by-step explanation:

Ratio of red marbles to black marbles is 19:1. (Data from 3rd sentence)

19+1= 20

20 units= 120 (Data from 1st sentence)

1 unit= 120/20= 6

19 units= 120-6= 114 (Values solved in working above)

Ans: There are 114 red marbles.

4(g- h) + 10, when g=12, h=7

Answers

Answer:

30

Step-by-step explanation:

When g = 12 and h = 7, the value of the expression is 30.

What are Expressions?

Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.

The given expression is 4(g - h) + 10.

Substitute the values of g and h as g = 12 and h =7, we get,

4(g - h) + 10 = 4(12 - 7) + 10

                   = (4 × 5) + 10

                   = 20 + 10

                   = 30

Hence the value of the expression is 30.

To learn more about Expressions, click on the link :

https://brainly.com/question/28170201

#SPJ2

What is the domain of h?

Answers

C
Pls mark brainliest

Answer:

D

Step-by-step explanation:

Do not listen to the other answer, D is what is correct

Which equation represents the line that passes through (–6, 7) and (–3, 6)?

y = –y equals negative StartFraction one-third EndFraction x plus 5.x + 9
y = –y equals negative StartFraction one-third EndFraction x plus 5.x + 5
y = –3x – 11y
y = –3x + 25

Answers

Answer:

y = - [tex]\frac{1}{3}[/tex] x + 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m= [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 6, 7) and (x₂, y₂ ) = (- 3, 6)

m = [tex]\frac{6-7}{-3+6}[/tex] = [tex]\frac{-1}{3}[/tex] = - [tex]\frac{1}{3}[/tex] , thus

y = - [tex]\frac{1}{3}[/tex] x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (- 3, 6 ), then

6 = 1 + c ⇒ c = 6 - 1 = 5

y = - [tex]\frac{1}{3}[/tex] x + 5 ← equation of line

Answer:

B

Step-by-step explanation:

Based on this persons answer this is what it it

please help me with this i asked last time but it didn’t some the important stuff so i’m just putting a picture ^

Answers

i think its B but i cant help much cuz i got a quiz thats due soon
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