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?

Answers

Answer 1

Answer:

5 years old

Step-by-step explanation:

Able has a younger sister and an older brother.

Able’s age can be represented by x.

Able’s sister (s) is 4 years younger than him. This can be represented as:

s = x - 4 [1]

Able’s older brother (b) is twice as old as he is. This can be represented as:

b = 2x [2]

The combined age of all three siblings is 32. This can be represented as:

x + s + b = 32 [3]

If we replace [1] and [2] in [3], we get:

x + (x - 4) + 2x = 32

4x = 36

x = 9

The age of Able's younger sister is:

s = x - 4 = 9 - 4 = 5


Related Questions

Chapter 1 MathXL: Mid-Chapter Practice and Review
1.1.9
Translate to an algebraic expression.
25 more than t
The translation is

Answers

Answer:

25>t

Step-by-step explanation:

25 is more than t

if it is more than that means 25 is greater so "Pacman"would would eat the bigger number

Answer:

lol

riajgeripaeohnpoaetnhaethaehte

Step-by-step explanation:

a school has 2 large patios. one is rectangular and is 24 feet long by 18 feet wide. The other is square and each side is 21 feet long. Which patio has a greater area?

Answers

Answer:

The 21' by 21' square patio is larger by 9 square feet

Step-by-step explanation:

[tex]24 \times 18 = 432[/tex]

[tex] {21}^{2} = 441[/tex]

The square patio will have more area than the rectangular one.

What is an area?

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.

Given that the school has 2 large patios. one is rectangular and is 24 feet long by 18 feet wide. The other is square and each side is 21 feet long.

The area of the rectangle is calculated as,

Area = L x W

Area = 24 x 18

Area = 432 square feet

The area of the square is calculated as,

Area = S²

Area = (21)²

Area = 441 square feet

The area of the square is greater than the area of the rectangle.

To know more about an area follow

https://brainly.com/question/25292087

#SPJ5

find the slope of the line through each pair of points

Answers

Answer: ...

Step-by-step explanation:

Answer:

5. Undefined

6. Zero

7. Positive

8. Negative

Step-by-step explanation:

i would recommend this website called demos it is really helpful to figure how graphs like this looks and such :)

2+3/4x=5/12
Rewrite the equation so that it does not have any fractions

Answers

Answer:

24+9x=5

Step-by-step explanation:

First you need to find the least common multiple of the denominators of the fractions. In this case, it would be 12. Then, multiply the entire equation by this number.

2*12=24,

3/4*12=36/4=9,

5/12*12=60/12=5.

Using these values will give your final equation: 24+9x=5

Answer:
24+9x=5

Explanation:
To remove the fractional values, we need to multiply both sides of the equation by their denominators so they get canceled out.

2+3/4x=5/12
1) Multiply both sides of the equation by 4 since it is the denominator of 3/4
8+3x=20/12
2) Simplify the fraction 20/12
8+3x=5/3
3) Multiply both sides of the equation by 3 since it is the denominator of 5/3
24+9x=5

I hope this helps! Please comment if you have any questions.

14x + 7 y=-7
y=-2x-1​

Answers

Answer:

(x, y) = ( -1, 1)

- -

9 9

Hope this helps for you answer :)

solve for x and show your work
5x-9=38

Answers

x = 9.4

5x - 9 = 38

5x = 47

x = 9.4

Answer:

The answer is x= 9.4

Step-by-step explanation:

5 x 9.4= 47

47-9=48

P.S. I tried very hard so your welcome :)

The Bureau of Labor Statistics1 in the US tells us that, in 2010, the unemployment rate for high school graduates with no college degree is 9.7 % while the unemployment rate for college graduates with a bachelor’s degree is only 5.2 %. Find the difference in proportions of those unemployed between these two groups and give the correct notation for the difference, with a minus sign. Since the data come from the census, you can assume that the values are from a population rather than a sample. Use the correct notation for population proportions and use subscripts on the proportions to identify the two groups. Assume high school graduates with no college degree are group 1 and college graduates with a bachelor's degree are group 2. 1Thompson, D., ‘‘What’s More Expensive than College?

Answers

Answer:

The difference is [tex]p= 0.045[/tex]

Step-by-step explanation:

From the question we are told that

The proportion unemployment rate for high graduated is [tex] p_1 = 0.097[/tex]

The proportion unemployment rate for college graduate is [tex] p_2 = 0.052[/tex]

Generally the difference in proportions of those unemployed between these two groups is mathematically represented as

[tex]p= p_1 - p_2[/tex]

=> [tex]p= 0.097- 0.052[/tex]

=> [tex]p= 0.045[/tex]

Hello, can anyone please help me with this question. I need to get at least these last two questions right so please I would really appreciate this correct answer! Thang you.

Answers

Answer:

B (same slope, lower starting point)

Step-by-step explanation:

The slope on this graph is 5, and the slope of y=5x+5 is 5, so the slopes are the same.

This graph has a y-intercept of -6, which is lower than y=5x+5's intercept of 5, so it starts lower, so B.

Mr. Anderson decides to visit a childhood friend. His car gives him 24.22 miles to the gallon. Mr. Anderson has 6 gallons of fuel. Which of the following is true?
A.
Mr. Anderson can travel 72.66 miles.
B.
Mr. Anderson can travel 109.32 miles.
C.
Mr. Anderson can travel 181.32 miles.
D.
Mr. Anderson can travel 145.32 miles.

Answers

Answer:

D, 145.32 miles

Step-by-step explanation:

distance (24.22) divided by the amount of fuel (6 gallons) will give unit rate.

Is ( 2,7) a solution of 2y = 3x + 8

Answers

Answer:

Yes

Step-by-step explanation:

2(7) = 3(2) + 8

14 = 6+8

14 = 14

PLEASE HELP ME, YOU WILL HAVE THE BEST DAY EVER TOMORROW IF YOU HELP ME

Allie must sell at least 50 gift baskets for the band fund-raiser. She already sold 36 baskets. Write and solve an inequality to determine how many more baskets Allie must sell for the fund-raiser.

Answers

Answer:

36+x>=50

I might be wrong but here's my explanation.

Step-by-step explanation:

We first of all know that she MUST sell 50 or more baskets.

Knowing this, we know the inequality sign will be facing the x and the 36 as the baskets can be equal to 50 or greater than 50.

Now we have: 36+x>=50

The x is remaining baskets needed.

If you were to solve the inequality you would get x>=14

Hope this helps! P.s. I'd do a bit more research just in case I'm wrong!! :)

Help please it’s urgent

Answers

Answer:

D

Step-by-step explanation:

We can use d to find out how much x equals which therefore would solve the rest of the equation. We also know that half of a parallelogram= 180 degrees so we know that it wouldn't be c and it wouldn't be any of the others either.

Hope this helps!

Number 5 question canvas

Answers

It’s the first answer choice

Plz help with this I don’t really get it

Answers

Answer:

D

Step-by-step explanation:

Associative Property of Multiplication is a(bc) = (ab)c

d is the only one that follows the rule

How much time will Alex need to walk to his school, which is 2 1/4 miles away from his house, if he would walk with the speed of 4 1/2

Answers

Answer: 50 mins?

Step-by-step explanation: 2 1/4 divided  by 4 1/2 =.50

He went to school for 50 min I think

Can anyone help please

Answers

Answer:

The anwser is B

Step-by-step explanation:

yes, because you need to convert the repeating number into a decimal. In this case, you can assume that x is the fraction form of 0.7 repeating.

I WILL GIVE EXTRA POINTS AND BRAINLIEST HELPPP PLEASE!!!! SHOW ALL WORK!!!
Solve All 4

Answers

Answer:

#23 is x+27°=27

2x-17°=-17

#24 is x+23°=23

x+54°=54

#25 is x+79°=79

2x-37°=-37

#26 is 3x+71°=71

5x+37°=37

Step-by-step explanation:

how you ask because when it is like x+55° and 6x+88° that means its going to be a positive number.

but when it is like 5x-78° that means its going to be a negative number.

remember this +=positive and -=negative

hope this helped you out!

Circle YES or NO The terms 15and 9are like terms.

Circle YES or NO The terms -10xy and 9x are like terms.

Answers

Answer:

yes, and no

Step-by-step explanation:

Answer:

YES

NO

Step-by-step explanation:

15 and 9 are like terms because they can be simplified together. 15+9, 15-9, 15*9 can all be simplified further.

-10xy and 9x are not like terms because they cannot be simplified without the variables first being defined.

HURRY !!!Below are two tables that represent a class of students. 2 tables. Table 1 is a 2-column table with 3 rows. Column 1 has entries boys, girls, total. Column 2 has entries 19, 16, 35. Table 2 is a 2-column table with 3 rows. Column 1 has entries summer birthdays, other birthdays, total. Column 2 has entries 11, 24, 35. Based on these tables, what can you determine about the students in this class? Check all that apply. There are 35 students in the class. 11 of the students are boys who have summer birthdays. 19 of the students are boys. There is not enough information shown to determine how many girls have summer birthdays.

Answers

Answer:

the answer is 1 3 and 4

hope i helped

Answer:

A C D

Step-by-step explanation:

Trapezoid W'X'Y'Z' is the image of trapezoid WXYZ
under a dilation through point C.

What scale factor was used in the dilation?

1.) -6/5
2.) -5/6
3.) 5/6
4.) 6/5

Answers

W'X' is the dilated image, which is smaller than the original, so the scale factor would be less than 1.

Set up a ratio of the dilated figure to the original:

15/18 divide this by 3 to get 5/6

The answer is 3) 5/6

2) C ( t ) = 4t =15

A) find C ( 4 ).

B) Find C ( t ) = 23.

Answers

9514 1404 393

Answer:

  a) 31

  b) t = 2

Step-by-step explanation:

Put the given value into the equation and solve for the unknown.

a) C(4) = 4·4 +15

  C(4) = 31

__

b) 23 = 4t +15

  8 = 4t

  2 = t



Which function describes the graph?
2
y= 5x+1
c.
2
y = 5x-1
b.
2
d.
2
y=5x+1
y=54-1

Answers

Answer: A

Step-by-step explanation:

The y intercept is positive 1, so it’s not C or D

The slope is positive because it’s going up from left to right so it’s not B

purchased $2,300 worth of supplies on account. Prior to the purchase, the balance in the supplies account was $350. On December 31, the fiscal year-end for Unidevo, it is determined that $500 of supplies still remain. What is the balance in the supplies account after adjustment?

Answers

Answer:

$500

Step-by-step explanation:

Which expression has the same value as the one below?
50 + (-17)

Answers

Answer:

33

Step-by-step explanation:

Simplify the expression.

Answer:

-17+50

Step-by-step explanation:

It is the same equation, just written backward. They both equal 33.

A SURVEY OF 1,000 PEOPLE WAS DONE BY NEW YORK TIMES. 90% OF THE PEOPLE
DID NOT KNOW THE NAME OF THEIR REPRESENTATIVE IN CONGRESS. HOW MANY
OF THE 1,000 PEOPLE KNEW THE NAME OF THE CONGRESSMAN?
Step by step explains I need to show my work !

Answers

Answer:

100 people

Step-by-step explanation:

first we gotta find 90% of 1000 to do that we multiply 1,000×90% or 1000×0.90 (same thing)

this equals 900 so 900 people don't know the name of their rep in congress subtract 1000-900 thus 100 ppl know there rep in congress

Answer:

100 people did know they're representative

Step-by-step explanation:

You just have to scale up the problem for example 10% of 100 is 10 but 10% of 1,000 is 100(If you need me to be more clear please let me know)

trevor reads 5 pages of a novel in 18 minutes how long would it take him to read 125 pages

Answers

Answer:

I believe that the answer is 450 minutes

Step-by-step explanation:

125 divided by 5=25

25 times 18=450

How many seconds equal 9 hours and 23 minutes?
w
563 seconds
1,380 seconds
33,780 seconds
12.420 seconds

Answers

Answer:

33780 seconds

Step-by-step explanation:

Answer:

33,780

Step-by-step explanation:

Please help!!!!!!!!!!):$:

Answers

HEY!!HERE'S YOUR ANSWER

1/4+2/3

LCM=12

3+8/12

11/12

HOPE IT HELPS YOU OUT PLEASE MARK IT AS BRAINLIEST AND FOLLOW ME PROMISE YOU TO FOLLOW BACK ON BRAINLY.IN

if a ferry boat covers 28 miles in 4 hours how much distance will it cover in 12 hours?

Answers

Answer:

84 miles in 12 hour

Step-by-step explanation:

12/4 = 3

3*28=84

Answer:

84 miles.

Step-by-step explanation:

First, find the rate of miles travel per hour.  It is given that the boat covers 28 miles in 4 hours. Simply divide 28 with 4:

28/4 = 7

The boat covers 7 miles per hour.

Now, multiply 12 hours with 7:

12 hours x 7 miles per hour = 84 miles per 12 hours.

84 miles is your answer.

~

Final question, solve this equation and show work! Worth 20 points

Answers

Answer:

[tex]n=5/2[/tex]

Step-by-step explanation:

We have the equation:

[tex]5^{2n-2}=125[/tex]

Notice that 125 is the same as 5³. So:

[tex]5^{2n-2}=5^3[/tex]

Since they have the same base, the exponents must be equal. Therefore:

[tex]2n-2=3[/tex]

Solve for n. Add 2 to both sides:

[tex]2n=5[/tex]

Divide both sides by 2:

[tex]n=5/2=2.5[/tex]

So, the value of n is 5/2.

And we're done!

Answer:

N = 2.5

Step-by-step explanation:

Ok, so try this.

125 is 5^3, right?

And in this equation, we have 5 to the power of 2n-2 is equal to 125.

You need to make sure that the exponent ends up as 3.

How would you do this?

Try substituting N for 3.

That's too big.

Try Substituting N for 2.

That's a bit too small.

What number is in between 2 and 3?

2.5 is.

N = 2.5

Check your work, and see if you came up with the same answer

Work:

2.5 x 2 = 5

5 - 3 = 2

5^3 = 125

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