The ages of three siblings combined is 27. The oldest is twice the age of the youngest. The middle child s three years older than the youngest. Write and solve an equation to find the ages of each sibling.

Answers

Answer 1

Answer:

The ages of the children are 6, 9 and 12.

Explanation:

Let x= the age of the youngest child.

If the oldest child is twice the age of the youngest, the age of the oldest child is twice x or 2x.

If the middle child is 3 years older than the youngest, the age of the middle child is x+3.

If the sum of their ages is 27, then

x+2x+x+3=27aaa(Combine like terms)

4x+3=27aaa

aa−3a−3aaa(Subtract 3 from both sides)

4x=24

4x4=24aaa(Divide both sides by 4)

Answer 2

Answer:

6, 9 & 12

Step-by-step explanation:

let x represent the age of the youngest kid

if the oldest kid is twice the age of the youngest, then it would be 2x

if the middle kid is 3 years older than the youngest, let this be x+3

if their ages in total is 27, then the equation is

x+2x+x+3=27

combine like terms first

4x+3=27

subtract 3 from both sides

4x=24

divide both sides by 4

you get 6. The youngest kid is 6.

For the oldest kid, the equation is 2x=2 times 6=12

the age of the middle child, equation is (x+3)=6+3=9

Hoped this helped!


Related Questions

I need a 2 step equation that equals 22

Answers

18 + 4 = 22
15 + 7 = 22

If Mike runs 3/5 of a mile in 1/15 of an hour, how many miles would he walk in a full hour?​

Answers

Answer:

9 miles

Step-by-step explanation:

The answer is 9 miles because if you divide 0.6 mile by 4 minutes, you will have an answer of 9 miles an hour, as 0.6x15=9. In a full hour, Mike would walk 9 miles.

5. The rectangular pool has an area of 520 square feet. The length of 3
more than its width. Which of the following equations represent length 2, in feet of the room?
a) z(z+11) =520
b) z(z - 11) = 520
c) z(11 - 2) = 520
d) - 112 - 520 = 0
e) 2 + 112 - 520 = 0
11z +520 =

Answers

Answer:

z*(z - 3) = 520

Step-by-step explanation:

Use the following representations:

Width:  W  

Length:  L = W + 3, or W = L - 3

Area = L*W = L*(L - 3) = 520

Equation b) is the correct one:  z*(z - 3) = 520

if f(x) = 2(x-3) + 4, what is f(-2)?

Answers

Answer:

-6

Step-by-step explanation:

First, replace x with -2. your equation then looks like:2(-2-3)+4. Then, you multiply 2 by everything in the parenthesis. After you multiply -2 and -3, you are left with -4, -6 +4. You then add everything together, and you get -6.

What is 8/2(2+2) oof not enough characters

Answers

The correct answer is 16

Simplify to create an equivalent expression.
3(2 + 6d) – 5 =

Answers

Answer:

Step-by-step explanation:

6 + 18d - 5

1 + 18d is equivalent to the given expression

√³512 =
what is the answer?​

Answers

Answer:

8

Step-by-step explanation:

Write in exponential form, then simplify the root.

Answer:

67.882 about 67.9 or 68

Step-by-step explanation:

three square root 512

Been here for hours which one is it

Answers

Answer:

3 I do belive

Step-by-step explanation:

Answer:

-1/4 slope and 50 y intercept

Step-by-step explanation:

from,

m= (y-y1)/(x-x1)

just decide what values of x and y will be your y,x and y1 ,x1

y=50, y1=25,x=0,x1=100

m is the slope.

y intercept is the value of y

Write the sentence as an inequality. 14 is no less than 8 times a number x plus 6.

Answers

Answer: 14 ≤ 8x+6

i think this is it

Am I correct here? All answers will be greatly appreciated!​

Answers

Answer:

yes i believe you are correct

Step-by-step explanation:

WILL MARK YOU BRAINLIEST!!!

Answers

10. x = 180-81= 99 = 180-(99+19)= 62°

11. x = 180-115= 65 = 180-(65+41)= 74°

12. x = 180-(36+42) = 102 = 180-102 = 78°

13. a = 180-(112+33) = 35°

14. b = 180-(71+35) = 74°

15. c = 180-(43+71) = 66°

5 +5 + 9 + 0 + 2 + 8 + 9 - 5 °°
answer and ill give you brainlyest ∝ ω

Answers

Answer: 33

Step-by-step explanation: Hope this helps! :)

Answer:

-462 if the °° are 0's

Step-by-step explanation:

A bakery sold 168 mocha cupcakes in a day, which was 84% of the total number of cupcakes sold that day. How many total cupcakes did the bakery sell that day?

Answers

Answer:

200 cupcakes

Step-by-step explanation:

We have, 84% × x = 168

or,  

84/100  × x = 168

Multiplying both sides by 100 and dividing both sides by 84,

we have x = 168 ×  100/84

x = 200

If you are using a calculator, simply enter 168×100÷84, which will give you the answer.

Answer:

200

Step-by-step explanation:

168 is 84/100 of the total cupcakes. You just need to divide by 84 and the multiply by 100. So:

168÷84=2

2×100=200

simplify the expression 8a-2b+4 for the value a=3 and b = -5

Answers

Answer:

38

Step-by-step explanation:

Simply plug in 3 where a is, and -5 where b is as such.

[tex]8(3) - 2(-5) +4[/tex]

[tex]24 + 10 + 4[/tex]

= [tex]38[/tex]

Answer:

38

Step-by-step explanation:

Don't worry this is pretty easy! Simply plug in your given values into the expression. So if a=3 and b=-5, we would put this in the equation.

8(3)-2(-5)+4

24+10+4<--- -2(-5) would be 10 since negatives cancel out. Remember to first to parentheses, then multiply/divide next.

38

if f(x) = 3x2 + 10, what is f( - 7)?

Answers

You plug in -7 into the x so your equation looks like f(-7)= 3(-7)2+10 and your final answer is f(-7)= -32

The value of  function f(-7) is 157.

What is  a function?

Functions have the property that each input is related to exactly one output. The function defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

For the given situation,

The function is f(x) = 3 x^2 + 10

Then  f( - 7) becomes,

⇒ [tex]f(-7)=3(-7 )^{2} +10[/tex]

⇒ [tex]f(-7)=147+10[/tex]

⇒ [tex]f(-7)=157[/tex]

Hence we can conclude that the value of  function f(-7) is 157.

Learn more about functions here

https://brainly.com/question/5830268

#SPJ2

solve for r
-13=r/9+8
r=​

Answers

Answer:

r = 1 [tex]\frac{53}{64}[/tex]

Step-by-step explanation:

Simplify 8x – 3x – 2x – x

Answers

Answer:

2x

Step-by-step explanation:

PLEASE HELP WILL GIVE BRAINLIEST AND 25 POINTS!!!
A model rocket is launched upward at a speed of 96 feet per second from a platform 7 feet above the ground. The path of the rocket can be modeled by the projectile equation, h(t)=-16t^2+v₀t+h₀
1. What is the maximum height the rocket will reach?
2. What is the average rate of change from the initial height to the maximum height?​

Answers

Answer:

151 ft

48 ft/s

Step-by-step explanation:

h(t)=-16t^2+v₀t+h₀

v₀ = 96  and

h₀ = 7

h(t)=-16t^2+96t+7

The maximum height is at the vertex

The x values of the vertex is at

x = -b/2a = -96/ (2*-16) = -96/-32 =3

Substitute this into the function to find the maximum height

h(3) = -16 ( 3)^2 +96*3+7

    -16*9 +288+7

     151

The maximum height is 151 ft

Average rate of change from 0 to 3

h(3) - h(0)

---------------

3-0

151 -7

------------

3

144/3

48ft/s

Kiran is spending $12 on games and rides at another carnival, where a game costs $0.25 and a ride costs $1.



Write an equation to represent the relationship between the dollar amount Kiran is spending and the number of games, x, and the number of rides, y, he could do.

Answers

Answer:

.25x+1y=12

Step-by-step explanation:

there is no step by step

A family has 8 kids and 3 have brown eyes. What percent of their kids have brown eyes?

Answers

Answer: 37.5%

Step-by-step explanation: 1/8 is 12.5% and if you multiply 12.5 by 3 you get 37.5

Answer:

37.5%

Step-by-step explanation:

divide 3 by 8: 0.375

then multiply your answer by 100 to get a percentage: 37.5%

HELPPP!!!
(6 points)
8. If you bought a $55 table and
paid an additional $4 in tax,
what percentage was the tax?

Answers

Answer:

7.27%

Step-by-step explanation:

hurry pls and ty :')

Answers

Answer:

5

Step-by-step explanation:

if -17 +5 are in value they should equal 12

The Initial count of a certain type of bacteria in a culture is 350. If the bacteria grows at the rate of 20% per hour, which
function models the number of bacteria after thours?

Answers

Answer:

I think it is 350(1.2)^t because you take the starting amount (350) and then multiple it by the growth rate (which is 20%, but when added to 100 and the put into a decimal is 1.2) raised by the number of hours (t).

I hope this helps.

Step-by-step explanation:

Do I just add them together?

Answers

Answer:

yes

Step-by-step explanation:

Answer:

yes you do need to just add them

What is the x- intercept of the line?

Answers

Answer:

x-int=(-1,0) y-int=(0,2)

Step-by-step explanation:

because on the x axis (x,y) xis on 1 and on the y is on 2 so then fill in the blanks with a zero.

Answer: (-1, 0)

Step-by-step explanation: The x-intercept is the point

on the graph where the line crosses the x-axis.

So the x-intercept for the line in this graph is (-1, 0).

All x-intercepts have a y-coordinate of zero.

Which transformation takes Figure A to Figure B in Pair 2:
• translation
• rotation
• reflection
Explain your reasoning:

NEEDED ASAP!!

Answers

Answer:

reflection

Step-by-step explanation:

if you look at it, its like its mirrored itself, so its reflection

2. Find the product of (x+1)(x^2-3x+7)

Answers

Answer:

x

2

+

3

x

7

=

0

Add

7

to both sides of the equation.

x

2

+

3

x

=

7

To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of

b

.

(

b

2

)

2

=

Add

7

to both sides of the equation.

x

2

+

3

x

=

7(

3

2

)

2

Add the term to each side of the equation.

x

2

+

3

x

+

(

3

2

)

2

=

7

+

(

3

2

)

2

Simplify the equation.

Tap for more steps...

x

2

+

3

x

+

9

4

=

37

4

Factor the perfect trinomial square into

(

x

+

3

2

)

2

.

(

x

+

3

2

)

2

=

37

4

Solve the equation for

x

.

Tap for more steps...

x

=

±

37

2

3

2

The result can be shown in multiple forms.

Exact Form:

x

=

±

37

2

3

2

Decimal Form:

x

=

1.5413812

,

4.54138126

Step-by-step explanation:

Answer:x^3-2x^2+4x+7

Step-by-step explanation:

the ribbon on a roll is 3 1/2m long. Joe wants to cut pieces of ribbon that are each 1/6 m long. he needs 50 pieces. how many rolls will he need?

Answers

Anggggggggggggggu

Step-by-syuuyyuuytion:

gggggggg

You have decided to cash in all of the coins you have been saving for the summer. In total you have $7.20. You only have dimes and quarters, and you know that you have twice as many dimes as you do quarters. How many quarters do you have in total? How many dimes? (HINT: think about what you know of dimes and quarters!)

Answers

Answer:

The number of quarters in total = 16 quarters

The number dimes = 32 dimes

Step-by-step explanation:

The given information are;

The total amount of money in held = $7.20

The denomination of the money held = Dimes and quarters

The number dimes = 2 × The number of quarters

Given that a dime = 10 cents = $0.1

A dollar = 25 cents = $0.25

Let the number of quarters in the sum of money = X

Therefore, we have;

X × $0.25 + 2 × X × $0.1 = $7.20

X × $0.25 + X × $0.2 = $7.20

X × $0.45 = $7.20

X = $7.20/$0.45 = 16

Therefore, the number of quarters = 16

The number of quarters in total = 16 quarters

The number dimes = 2 × The number of quarters = 2 × 16 = 32 dimes

The number dimes = 32 dimes.

What is the definition of a quotient?

Answers

Answer:

When two numbers get divided, they form a number, this newly formed number is the definition to QUOTIENT.

If my answer helped, kindly mark me as the brainliest!!

Thank You!!

Answer:

In mathematical terms, quotient is the value that is created after quantities have been divided.

For example, if you are asked:

What is the quotient of 24 divided by 6?

[tex]6\sqrt{24}[/tex]

The answer/quotient would be 4.

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