Able has a younger sister and an older brother.

- Able’s age can be represented by x.
- Able’s sister is 4 years younger than him.
- Able’s older brother is twice as old as he is.
- The combined age of all three siblings is 32.

How old is Able’s younger sister?

9 years

13 years

5 years

3 years

Answers

Answer 1

Answer:

5 years

Step-by-step explanation:

1. if able's age is x, then his sister's is x-4, and his brother's is 2x

2. if these sum to 32, then we can formulate the equation x+(x-4)+2x=32

3. now solve for x, 4x-4=32, 4x=36, x=9

4. if able's sister is x-4 years old, she is 9-4, or 5 years old


Related Questions

Please help me with this math problem

Answers

Answer:

28x

Step-by-step explanation:

i took the test

if y=198 when x=22, find y when x=182.

Answers

Answer:                

y = 1638      

Hope that helps

Which numbers round to 7.91 when rounded to the nearest hundredth? Select all that apply.
A. 7.914
B. 7.905
C. 7.901
D. 7.915
E. 7.909

Answers

Answer:

A. 7.914

B. 7.905

E. 7.909

Answer: A D AND E

Step-by-step explanation:

There the answers i took that test

True or false. The solution to an equation in two variables such as y = 3x - 9 is the value of x that makes the equation true.

Answers

ok wait i think you are in my math class lol... this is on my quiz i just took

the sum of two consecutive integers is -35. Name the integers

Answers

Okay so for consecutive
Your first integer can be represented by the variable x.
The second number will be x+1, since it is consecutive. (For example 1+1=2, where 1 and 2 are consecutive)

So, your equation will be
x+(x+1)=-35
Combine like terms
2x+1=-35
-1 -1
—————
2x=-36
Begin isolating the variable by moving the 1 to the right
Divide each side by 2 to completely isolate x
2x=-36
—— —-
2 2
x=-18

So, one of the numbers is -18. For the other integer, insert -18.
x+1=-18+1

-17

So one integer is -17, and the other is -18. You can check by adding these integers, which gives you -35.

Hope this helps!!

Which equation has the same solution as 10x-x+5=4110 x − x + 5 = 41?

Answers

Answer:

d

Step-by-step explanation:

The equation having same solution as linear equation 10x -x + 5 =41 is equation: 9x +5 = 41

What is an linear equation in one variable?

Linear equation is an equation containing one unknown variable with power one and constants.

The standard form of an linear equation in one variable x is :

ax + b = 0 , where a, b are constants

x= -b/ a is solution if this equation or we can solve this equation by adding or subtracting, multiplying, dividing same number to both sides.

Given equation 10x -x + 5 =41

⇒ (10-1) x = 41-5

⇒9x = 36

⇒ x= 36/9 = 4

From given options :

1. 10x + 5 =41⇒ 10x = 36 ⇒ x = 36/10 = 3.6

2. 10x - 5 +x = 41 ⇒ 11x = 41+5⇒ 11x = 46 ⇒ x = 46/11

3. 9x = 46 ⇒ x = 46/9

4. 9x +5 = 41⇒ 9x = 41-5 = 36 ⇒ 9x = 36 ⇒ x = 36/9 = 4

Therefore, the equation 9x +5 = 41 has same solution x= 4 as the given solution.

Also, learn more about linear equation from the link below:

https://brainly.com/question/24145091

#SPJ2

help please because i am very dumb

Answers

A) 7000
B) 20000
C) 300000

Answer:

A.7,000

B20,000

c.300,000

Step-by-step explanation:

5 plus 5 and 6 plus 6

Answers

Answer:

5+5=10

6+6=12

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

5+5=10

6+6=12

add them up

22

The weights of certain candles are normally distributed with a mean of 720mg and a standard deviation of 20mg. What proportion of candles weigh between 695mg and 734mg?

Answers

Answer:

ufoufoydiyd8yf86fiyxitdkydyofiyd8yfoyfoycoycoycoycoyfiyfiyfyocyiciycigxitc8txitditxt8xtix8tx8td8yd8yc8yyc8yf58d8txt7x85d85duts7td8txits

Step-by-step explanation:

yfid8yydyofoyf0

the sum of three consecutive even numbers is 114. what is the smallest of the three numbers?​

Answers

Answer:

36

Step-by-step explanation:

Let's let n be any number.

If we multiply n by 2, we get 2n. Since anything multiplied by 2 is even, 2n must be even. Therefore, let 2n be our first number.

So, the consecutive even number will be (2n+2) followed by (2n+4).

We know that their sum must be 114. Therefore, we can write the following equation:

[tex](2n)+(2n+2)+(2n+4)=114[/tex]

Solve for n. Combine like terms on the left:

[tex]6n+6=114[/tex]

Subtract 6 from both sides:

[tex]6n=108[/tex]

Finally, divide both sides by 6. Therefore, the value of n is:

[tex]n=108/6=18[/tex]

Therefore, our first even number is 2n or 2(18) which equates to 36.

And the consecutive even numbers will be 38 and 40.

So, the smallest of them, the first term, is 36.

Given :-

Sum of three consecutive even numbers = 114

To Find :-

The smallest number .

Solution :-

Let the three consecutive even numbers be x, x + 2 and x + 4 .

[tex] \longrightarrow \rm x + x + 2 + x + 4 = 114[/tex]

[tex] \longrightarrow \rm 3x + 6 = 114[/tex]

[tex] \longrightarrow \rm 3x = 108[/tex]

[tex] \longrightarrow \bf x = 36[/tex]

Smallest number = 36

What is the slope of this line?

A. 3
B. -1/3
C. -3
D. -2
E. 4

Answers

Answer:

-3

Step-by-step explanation:

Pick two points on the graph, lets go with (0, 4) and (1, 1)

y = mx + b

m is the slope and to figure it out use below formula

m = (y₂ - y₁) / (x₂ - x₁)

  = (1 - 4) / (1 - 0)

  = -3 / 1

  = -3

Answer:

C. -3

Explanation:

Given problem;

 To solve for the slope of the line;

The slope of a line is the vertical distance to the horizontal displacement on a line.

  Slope  = [tex]\frac{Vertical distance}{horizontal displacement}[/tex]

For lines such as this, we use the formula below;

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

To find the slope reference the image attached;

     point 1 (0,4)      x₁  = 0   y₁  = 4

     point 2 (2,-2)    x₂  = 2   y₂  = -2

Now input the parameters and solve;

          Slope  = [tex]\frac{-2 - 4}{2 - (0)}[/tex]   =    [tex]\frac{-6}{2}[/tex]  

          Slope  = -3

   

The slope of the line is -3

What is the distance between the points (-3, 1) and (1, 3)?

Answers

Answer:

4.47

Step-by-step explanation:

a^2+b^2=c^2

2^2+4^2=c^2

4+16=c^2

20=C^2

[tex]\sqrt{20}[/tex]= [tex]\sqrt{c^2}[/tex]

4.47=c

HELP THiS IS DUE In 30 MINUTES

Answers

Answer:

undefined

Step-by-step explanation:

The x coordinate of the two points are the same, while the y values are different. This means that the line is vertical. A vertical line does not have a defined slope, because the change in y divided by the change in x is dividing by zero. Therefore, the answer is "undefined"

Answer:

The slope of the line is undefined.

Step-by-step explanation:

Using the point slope formula, in the end, you will get -7 over 0. Since a zero is in the bottom, the slope is considered undefined.

A factory made 357,945 baseball bats over the last 2 years. During that time, the factory made 490,867 little league baseballs and 389,839 major league baseballs. How many more baseballs than bats were manufactured during the 2 years? Liliana's answer to this question is below. Her teacher says her answer is not reasonable. Look over her work before answering (a) and (b).

Answers

Answer:

522,761 baseballs

Step-by-step explanation:

Number of baseball bats produced over the last 2 years = 357, 945

Number of little league baseballs produced over the last 2 years = 490,867

Number of major league baseballs produced over the last 2 years = 389,839

Total number of baseballs produced over the period = 490,867 + 389,839

                                                                                         = 880,706

Number of baseballs manufactured more than bats = 880,706 - 357945

                                                                                      = 522,761

There are 522,761 baseballs produced more than bats during the 2 years.

0.82 divided by what = 0.0082

Answers

Answer:

100

Step-by-step explanation:

You move the decimal to the left, 2 times.

You can only move it over like that if you are working with 10, 100, 1,00, ect.

If you were multiplying you would move it to the right.

Answer:

100

Step-by-step explanation:

Answer to get points.

Answers

Answer:

I think it's B ////////////

Simplify
9/17 - 8/17
A 9/17. B 1. C 0. D 17/34

Answers

Answer will be 1/17

Choose the correct answer :
0,2444... and 0,244

1 ) 0,2444...=0,244
2) 0,2444...<0,244
3) 0,2444...>0,244

Answers

Answer:

2

Step-by-step explanation:

The answer is 2 The answer is 2 The answer is 2

There are 3 consecutive integers that have a sum of 36. What are the integers?

Answers

Answer:

            11, 12, 13

Step-by-step explanation:

The consecutive integers are increasing by 1

k ← the smallest integer

k+1 ← the middle integer

k+1+1 = k+2   ← the largest integer

k + k+1 + k+2 = 36

   3k + 3 = 36

     ÷3         ÷3

    k + 1  =  12

        -1       -1  

        k  =  11

k+1 = 11 + 1 = 12

k+2 = 11 + 2 = 13

(-14) + (-7) = ?*
Your answer

Answers

Answer:

-21

Step-by-step explanation:

Answer:
-21

Explanation
Um justtttt um it’s the answer

Which equation shows the point-slope form of the line that passes through (3, 2) and has a slope of y plus StartFraction one-half EndFraction equals 3 left-parenthesis x minus 2 right-parenthesis.?

y + 2 =y plus 2 equals StartFraction one-third EndFraction left-parenthesis x plus 3 right-parenthesis.(x + 3)
y – 2 = y minus 2 equals StartFraction one-third EndFraction left-parenthesis x minus 3 right-parenthesis.(x – 3)
y + 3 = y plus 3 equals StartFraction one-third EndFraction left-parenthesis x plus 2 right-parenthesis.(x + 2)
y – 3 = y plus StartFraction one-half EndFraction equals 2 left-parenthesis x minus 3 right-parenthesis.(x – 2)

Answers

Answer:

B. y - 2 = 1/3(x - 3)

Answer:

B.

Explanation:

If you actually do the math you get B

-x²-8x-16=0
what is the solutions by solving by quadratic equations ​

Answers

Answer:

x = - 4

Step-by-step explanation:

Given

- x² - 8x - 16 = 0 ( multiply through by - 1 to clear the leading negative )

x² + 8x + 16 = 0 ← this is a perfect square

(x + 4)² = 0 ( take the square root of both sides )

x + 4 = 0 ( subtract 4 from both sides )

x = - 4

A cookie recipe calls for 4.5 cups of flour, makes 3 dozen cookies. How much flour is needed to make 6 dozen cookies?
Group of answer choices

Answers

Answer:

9 cups

Step-by-step explanation:

3 dozen of cookies : 4,5 cups

6 dozen : more

6

--- × 4,5 = 9 cups

3

29. Find the measure of each angle.
E
с
(5x + 2)
3x
B

Answers

Answer:

The measure of each angle is :

3x° = 33°

(5x+2)° =57°

Step-by-step explanation:

From the diagram, angle <ABC is a right-angle triangle with a measure of 90°

This means the sum of the two angles <ABE + <CBE =90°

Given from the question :

<ABE = 3x°

<CBE = (5x+2)°

For an equation for sum of the two angles as;

<ABE + <CBE =90°

3x° + (5x+2)° = 90° ------collect like terms after opening the brackets

3x° +5x° + 2° =90°

8x°=90°-2°

8x°=88°

x°=88°/8° = 11°

Measure of the angles will be:

<ABE = 3x° = 3*11° = 33°

<CBE = (5x+2)° = (5*11° +2° ) =55°+2°= 57°

Answers are :

3x° = 33°

(5x+2)° =57°

What is the solution to this equation? 2 x + 3 = x − 4

Answers

Answer:

the answer is -7

Step-by-step explanation:

hope this helps

Answer:

-7

Step-by-step explanation:

Determine whether side-angle-angle (SAA) is a valid means for establishing triangle congruence. In this case, you know the measure of a side, an adjacent angle, and the angle opposite to the side. If it is a valid criterion, explain why. If it is not valid, use GeoGebra to create a counterexample demonstrating that it doesn't work and give an explanation. If you construct a counterexample, take a screenshot of your work, save it, and insert the image in the space below.

20 points ​

Answers

SAA = corresponding angle

the answer is 28 degree

My age is 9 years, My sister is half of my age. Now I'm 49 years, How old is my sister?

Answers

Answer:

i think it is 24

20=-7+1/2x what are the values

Answers

Answer:

X = 54

Step-by-step explanation:

20=-7 + 1/2x

+7       +7.    

27 = 1/2x

*2      *2

x = 54

At El Rodeo it costs $8 for a burrito and $5 for a taco. Last week, El Rodeo made $1123 from selling burritos and tacos. If 76 burritos were sold, write and solve a linear equation to find how many tacos were sold.

SOLUTION:
Question Blank
type your answer...
tacos were sold

Answers

Answer:

103 tacos were sold

Step-by-step explanation:

8(76)+5x=1123

608+5x=1123

-608       -608

5x=515

/5   /5

x=103

Mrljrljepkspdjrotjorje

What is the simplest form of 4a + 8b/12​
Step by step pls

Answers

Answer:

4a + 2b/3

Step-by-step explanation:

focus on 8b/12 first:

factor 8b/12 by 4 ---> 8b/12 = 4(2)b/4(3) ----> cancel 4 in the denominator and the nominator ---> 8b/12 = 4(2)b/4(3) = 2b/3

then, go back to 4a:

4a is in its simplest form, it can't be factor

therefore, plus 4a and 2b/3 = 4a + 2b/3

Other Questions
Help me i need paragaph about my hometown al hasa Complete the expression so it forms a perfect-square trinomial.x - 5x + 25/4x + x + 49 Find the common ratio of the geometric sequence 18,-72,288,... What is the inverse operation of a power or exponent? What is the most important reason to control the conditions of an experiment?O to make the experiment easier to repeatO to reduce the amount of data that must be recordedO because this is necessary for graphing the dataO because this is necessary for the data to be valid get brainly List two advances in technology that helped make the Age of Exploration possible. The state of Georgia is found in BOTH theA) Northern and Western hemispheres. B) Northern and Eastern hemispheres. C) Southern and Western hemispheres. D) Southern and Eastern hemispheres. how to get rid of my sisterrrr What is a goal for a good programmer?a. writing efficient codeb. force the computer to multitaskc. to increase the memory in a computerd. name applications All of the following are true about Louis-Michel Aury EXCEPT:a.He helped the British fight the Spanish over Florida..b.He was a French pirate.c.He led the rebels in a convoy.d.He fought in the Mexican Revolution. 7 (4 - x) 4 (7x 7)value of x plz solve What is the name for the process of collecting andverifying credentials?authenticationverificationo credentialingO licensing x-13=62 idk know it What is one measure you can take to stop procrastinating?A. Break down tasks into smaller stepsB. Work or multiple tasks at the same timeC. Put the task off until tomorrowD. Take time out for yourself Which one of the following reactions would produce the largest amount of heatper mole of hydrogen?A) C(s) + 2 H2 (g) CH4 (g) AH = -74.9kJ/molB) N2O (g) + 3 H2 (g) N2H4 (g)+ H2O (l)AH = -316.8 kJ/molC) 2 H2(g) + O2 (g) 2 H2O (l) AH = -571.6kJ/molD) N2 (g) + 3 H2 (g) 2 NH3 (g) AH = -91.8kJ/mol Which practices were central to the Acadian economy in Canada? Check all that apply. trading with the Micmacsconstructing dy,kes for land irrigationreceiving land grants from their British rulershunting game, fishing, and growing crops growing cash crops such as sugar and tobacco how do you compare structure of human malunggay branch and leaves The question is in the picture Whats -43-65And the dot is multiplication! 4. Jimmy likes to work with his friend Joe in 7th grade science class labs. However, he notices that he tends to get lower grades when he does work with Joe, because he and Joe like to talk about basketball and not science. He's decided to investigate if his science lab grades are higher when he works with Joe or if they're higher when he works with someone else. He has set goals to become a better student, so help him write a hypothesis for his study. a. Manipulated variable b. Responding variable