john is 2 years younger than his sister, annie. Last year, John was half Annie's age. How old are john and Annie now?

Answers

Answer 1

Answer:

John is 3 and Annie is 5 because to be half of someone's age while being to years younger it would have to be 2 and 4 - but then a year passed and so the are now 3 and 5.

Step-by-step explanation:

Answer 2

The present  age of John is  3 years

The present age of Annie is 5 years  

Given that John is 2 years younger than Annie's age

Let the present age of John be "J"

Let the present age of Annie be "A"

According to the given situation

[tex]\rm J = A -2........(1)\\[/tex]

One year ago the age of John = [tex]\rm J-1[/tex]

One year ago the age of Annie = [tex]\rm A -1[/tex]

According to the given situation

[tex]\rm\dfrac{A-1}{2}= J-1.........(2)[/tex]

On solving for equations (1) and (2) we get

A = 5 and J = 3

So the present  age of Annie is  5 years

The present age of John is 3 Years  

For more information please refer to the link given below

https://brainly.com/question/21835898


Related Questions

Which of the sets of ordered pairs represents a function?

P = {(3, 5), (−1, 5), (4, −6), (2, 9)}

Q = {(7, −2), (5, 9), (−1, 8), (5, −3)}

Answers

Answer:

P

Step-by-step explanation:

P tells us that the Domain: 3,-1,4,2 doesn't repeat

Q does repeat its Domain: 7,5,-1,5

Reminder that in order for a line of ordered pairs to be a function the domain number Shouldn't repeat, That doesn't mean that the range cant repeat.

Example: (5,-3), (5,9) Not a function

                (-1,-6), (7,-6) Function

Out of the two set given, the set of ordered pairs that represents a function is: P = {(3, 5), (−1, 5), (4, −6), (2, 9)}.

What is a Function?

A set of ordered pairs that has one exact y-value assigned to each x-value is considered a function.

In set P, all x-values has exactly one y-value, while in set P, the x-value, 5, has two different y-values, 9 and -3.

Therefore, the set of ordered pairs that represents a function is: set P.

Learn more about a function on:

https://brainly.com/question/10439235

#SPJ2

Solve for n
8-n-4
PLZ help

Answers

N=12 i think hope it helps

List some of the valid reasons that can be used in a proof:

Answers

Answer:

Experiment results, and more results!

They help a LOT!

Step-by-step explanation:

Experiment results and risks

Write the equation in slope-intercept form y−6=−2/5(x−10)

Answers

Answer: y = -2/5x + 10

Step-by-step explanation:

y − 6 = − 2/5 (x − 10)

do distributive property

y - 6 = -2/5x + 4

add six to both sides

y = -2/5x + 10

boom the answer :v

Find an equation for the line below.
8-
0
Check

Answers

Answer:

okay so the equation for the line could be writen in y=mx+b form

Step-by-step explanation:

y = [tex]\frac{9}{5}x + \frac{21}{5}[/tex]

Which chemical equation is balanced?
Question 2 options:

CH4 + O2 → H2O + CO2

CH4 + O2 → 2H2O + CO2

6CH4 + O2 → 2H2O + 2CO2

CH4 + 2O2 →2H2O + CO2
help

Answers

Step-by-step explanation:

CH4 + 2O2 →2H2O + CO2

the answer

Answer:

The balanced chemical equation of the given reaction are;

b.CH4 + 202-> 2H20 + CO2

Step-by-step explanation:

C=C

H4=2H2

2O2=O2+2O(2O2)

I Think it helps you.

Write 0.272727272727273 as a fraction in simplest form

Answers

Answer:

27/100?

Step-by-step explanation:

In triangleABC, a = 1.4 cm, b = 1.5 cm and c=1.5 cm. Find the measure of angleA to the nearest 10th of a degree.​

Answers

Answer:55.6

Step-by-step explanation:

Answer:

55.6

Step-by-step explanation:

Simplify 45 / 3 + 2 * 8 - 12 + 42

Answers

Answer:

61

Step-by-step explanation:

It’s 61 just do the calculation that’s what I did I hope this helped

can someone please help me with math
-please and thanks.

Answers

Answer:

x(x+6)

which is 2

Step-by-step explanation:

Im new can u pls mark me brainliest

An open rectangular cistern when measured from outside is 1.35 metre long 1.08 metre board and 90 cm It is made up of iron which is 2.5 cm find the capacity of the question and the volume of the iron used.​

Answers

Answer:

The capacity of the cistern is [tex]1.2231~m^3[/tex]

The volume of iron used is [tex]0.0891~m^3[/tex]

Step-by-step explanation:

Volume

The volume of a rectangular box of dimensions x,y,z is given by:

V = x.y.z

The external dimensions of the rectangular cistern are 1.35 m, 1.08 m, and 0.90 m, thus the external volume is:

[tex]V_e=1.35*1.08*0.90=1.3122~m^3[/tex]

The cistern is made of iron 2.5 cm= 0.025 thick, thus the internal dimensions are:

1.35 - 0.025 = 1.325 m

1.08 - 0.025 = 1.055 m

0.90 - 0.025 = 0.875 m

The internal volume is:

[tex]V_i=1.325*1.055*0.875[/tex]

[tex]V_i=1.2231~m^3[/tex]

The capacity of the cistern is 1.2231~m^3

The volume of iron used is the difference between the external and the internal volumes:

[tex]V_{iron}=1.3122~m^3-1.2231~m^3[/tex]

[tex]V_{iron}=0.0891~m^3=89.1~lt[/tex]

The volume of iron used is [tex]0.0891~m^3[/tex]


Is the following relation a function, yes or no?
{(-3,4),(3,1),(5,7), (8,9), (10, 12)}
yes
no

Answers

The function rule is that each input (x value in (x,y)) should only equal to one output and one output (y value) can have more than one input.

✯the following is a function, so yes.

Answer:

yes

Step-by-step explanation:

At Gary's car wash 49 cars can be washed in 4 hours. At this rate, how many cars can be washed in 8 hours?

Answers

Answer:

98

Step-by-step explanation:

49 + 49 = 98

What is the slope of the line that passes through the points (7,−6) and (4, -6) ? Write your answer in simplest form.

Answers

the answer is m = 0. i hope this helps-

Solve the equation. 4d + 2d – 4d + 4 = 3d

Answers

Answer:

d = 4

Step-by-step explanation:

1. Simplify both sides of this equation, to start off with.

[tex]4d+2d−4d+4=3d

[tex]4d+2d−4d+4=3d[/tex]

[tex]4d+2d+−4d+4=3d[/tex]

2. Combine all the like terms you see here.

(4d+2d+−4d)+(4)=

d+4=3d[/tex]

(2d+4=3d)[/tex]

3. Subtract 3d from both sides of this equation.

[tex]2d+4−3d=3d−3d[/tex]

[tex] - d + 4 = 0[/tex]

4. Subtract 4 from each sides of the equation.

[tex]−d+4−4=0−4[/tex]

[tex] - d = - 4 [/tex]

5. Divide both of the sides by -1.

[tex] \frac{ - d}{ - 1} = \frac{ - 4}{ - 1} [/tex]

Therefore, the answer is d = 4.

Write the equation in slope-intercept form 2x−8y=24

Answers

Answer:

y=1/4x - 3

Step-by-step explanation:

Answer:

[tex]y=\frac{1}{4}x-3[/tex]

Step-by-step explanation:

Which equation is true for the value b= 10?
O A.
2(b + 4) = 16
O B.
2(b + 2) = 40
O C.
3(b- 2) = 24
OD
2(8 + b) = 42
OE.
3(b - 4) = 20

Answers

The answer to the question is D

Answer: C. 3(b-2)=24

Step-by-step explanation: See since b equals ten and by the rules of P.E.M.D.A.S the parenthesis/brackets comes first so 10-2 equals 8 and three times 8 is 24 therefore the answer is 24

The speed of light is 3 x 10^8 meters/second. If the sun is 1.5 X 10^11 meters from earth, how many seconds does it take the sunlight to reach the Earth? (Time = Distance/Speed).

Answers

Answer:

Time = 500 seconds  or 8.333 minutes

Step-by-step explanation:

Time = Distance/Speed

Speed of light = 3 x 10^8 meters/second

Distance=1.5 X 10^11 meters

Time = 1.5 X 10^11 meters/3 x 10^8 meters/second

We solve using the scientific notation. When 8 is taken to the top it is subtracted from 11 ( the base 10 is the same -- laws of exponents)

Dividing 1.5  by 3 gives 0.5 .

Time = 1.5 X 10^(11- 8) meters/3 meters/second

Time = 0.5 X 10^3 seconds

Time = 500 seconds

Dividng seconds with 60 will give minutes

Time= 500/60 = 8.333 minutes

7a(3b - 2c + 4)


Help?

Answers

Answer:

21ab-14ac+28a

Step-by-step explanation:

[tex]7a(3b - 2c + 4)\\\\\mathrm{Distribute\:parentheses}\\\\=7a\times \:3b+7a\left(-2c\right)+7a\times\:4\\\\\mathrm{Apply\:minus-plus\:rules}\\\\+\left(-a\right)=-a\\\\=7\times\:3ab-7\times\:2ac+7\times\:4a\\\\Simplify\\\\21ab-14ac+28a[/tex]

Please help me hahahhahahhahahhhhhhshshs can

Answers

Answer:

The slope of this line is -2/3x.

Step-by-step explanation:

The slope can be found by getting x1 and y1 (0,3) and x2 and y2 (3,1). Once you have these you would do y2 - y1 / x2 - x1.

And the equation then is

1 - 3 / 3 - 0.  After simplifying this you get -2/3.

IS THIS A GOOD SONG

Life Is Fun
The odd1sout
Ahhh! Such a beautiful day, uh (Yeah)
The sun's shining in a beautiful way, uh (Whoo)
Gonna take a shower, brush my teeth and
Life is ultimately meaningless
Uhh... Uhh...
But I'll get out of the house
Get on the road, top down, hands out
Put on my favorite song and nod to the rhythm
The planet's being destroyed by your carbon emissions
But I- I-, I'll head to class
Try my best on every test 'til I pass
And my grades are screaming in my face, hey
98 percent of what you learn is a waste
I get to hang out with all my friends (Yeah)
My friends are the friendliest friends
Can't think of a better way to spend my time
Your brain is flawed, and all your friends will die
Never mind!
I'm alive in the greatest nation!
So proud of the exploitation of natives
This graceful bird means freedom for all
Tell that to the slaves, and bald eagles aren't bald
I can live in the moment, milk every second
At any time you could get clinical depression
But I'll just be happy, no matter what's in store
It's quite genetic, and we have no cure
Uh, at least
We are young
Not for long
Life is fun
It only goes downhill
We gotta make the most of it! Make the most of it!
Or you'll regret it
We are young
For now
Life is fun
For some people
We gotta make the most of it! Make the most of it!
Good luck
Woo! I got a brand new job today! (Yeah)
Doin stuff that'll help the economy (Uh)
I'll save money and buy things at the store
Banks can crash and capitalism is flawed
And it's all because of my hard work
And the thousand advantages you lucked into at birth
I put a lotta effort in my resume!
Good thing you don't have a black person's name
I'm proud to be a functioning member of society
Finally, I can be the citizen I dream to be
Part of the community, contribute with my tax
What could possibly stop me?
The shrinking middle class
I've at least got a nice stable job
Until it's outsourced to China or replaced by a robot
OH GOD! Well, then I could relax a bit
You'll be empty with nothing to distract from it
But man, I'm a passionate graduate
I can be different, and I have a career paths to pick from
I could be a rapper or an animator if I'm lucky
Neither of those will make you happy, trust me
I'm able to choose what I pursue (Yeah)
You're a slave to people born richer than you
Then screw it, I'll keep going in
Then I'll party on the weekend and sing, no, oh, oh oh
Thanks to autotune
We are young
Not for long
Life is fun
It only goes downhill
We gotta make the most of it! Make the most of it!
Or you'll regret it
We are young
We still die
Life is fun
Until you die
We gotta make the most of it! Make the most of it
Because you'll die
Life is a wonder
You'll never know the answer
Nature is a miracle
Natural disasters
It's good to be alive
You could wake up with cancer
But I'm healthy
Healthy people still get cancer
I love this show
It's the last episode
The sun is shining
It's going to explode
Every species is beautiful and unique, though
Children have malaria thanks to mosquitoes
I met a cute girl with a ponytail
Statistically that relationship is going to fail
I have a wonderful family, it's like no other
You're not special, and one day you'll bury your mother
No matter what, I can find a home!
We, Will All, Die, Alone
There's amazing potential in every human on earth
There's no escaping the heat death of the universe
I don't have to live life based on negative parts
No matter how bad they are, they're just thoughts
Yeah, that's fair
Wait, really?
Yeah that seems reasonable
Wait, wait, wait, wait but you were just telling me to-
Whatever man, I dunno, live your life how you want
I'm not forcing you to do anything, I'm just saying
Oh...
Well in that case...
We are young!
Life is fun!
We gotta make the most of it! Make the most of it!
We are young!
Life is fun!
We gotta make the most of it! Make the most of it!
Enjoy it while it lasts

Answers

Answer:

i forgot about it but ye its cool

Step-by-step explanation:

ooh I love life is fun it one of a good songs

Find the percent of decrease from 27 to 18.
PLEASE HELP

Answers

-33.33333333333333 %A change from 27 to 18 represents a negative change (decrease) of -33.33333333333333%

Use the formula found below on this webpage to find the percent changeby replacing the given values:Percent change = New - Old|Old|  100%Percent change = 18 - 27|27|  x 100 = -927  x 100 = -33.33333333333333decrease)

Where: 27 is the old value and 18 is the new value. In this case we have a negative change (decrease) of -33.33333333333333 percent because the new value is smaller than the old value.

The Answer is: -33.33333333333333% or 33.3

Write the equation of line
that has slope of 4 and
goes through the point 0-3

Answers

Answer:

                   y=4x-3

Step-by-step explanation:

what is the equation of a line in slope intercept form that passes through points (4,3) and (1,-6)
pls help quick : )

Answers

Answer:

y = 3x-9

give me brainliest please

Step-by-step explanation:

To find the equation of a line that passes through two points, use point-slope form.

[tex]y-y_{1} = m(x-x_{1})[/tex] ...

where [tex](x_{1}, y_{1})[/tex] is the first point, and [tex]m[/tex] is the slope.

Start with the slope (m). To find the slope, you find the change in y over change in x, or  [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex].

[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex] = [tex]\frac{-6-3}{1-4}[/tex] = [tex]\frac{-9}{-3}[/tex] = 3

[tex]m=3[/tex]

Then, put the values into point-slope equation.

[tex]y-y_{1} = m(x-x_{1})[/tex]  =  [tex]y-3 = 3(x-4)[/tex]  =  [tex]y-3 = 3x-12[/tex]  =  [tex]y = 3x-9[/tex]

7 + 5x = 2x + 25
step by step pls:(

Answers

Answer:

x = 6

Step-by-step explanation:

7 + 5x = 2x + 25

first subtract 7 from both sides to isolate 5x on the left

5x = 2x + 18

then subtract 2x from both sides to isolate all of the x terms to one side

3x = 18

then divide 18 by 3 to solve for x

x = 6

hope this helped!! :)

Answer:

i got you, i wrote it out and all gimme brilliantness

Step-by-step explanation:

HELP ASAP WILL MARK BRAINLIEST UTS DUE IN 5!!!
Find the slope of the line.

O -2/5
O 2/5
O 5/2
O None of the above

Answers

Answer: 2/5

Step-by-step explanation:

What expression represents the decimal 72.603

Answers

Answer: 7 x 10 + 2 x 1 + 6 x 1/10+ 3 x 1/1000

Step-by-step explanation: just had this question on the test

Please help!



What is 7% of 600

Answers

Answer:

42

Step-by-step explanation:

Hope this helps

what is 20 percent of 140

Answers

Answer:

28

gotta divide

Step-by-step explanation:

please answer!! THIS IS ALL THE POINTS I HAVE LEFT SINCE NOBODY IS ANSWERING MY OTHER QUESTIONS :(
~~~~~~~~~~~~~

Answers

Answer:

The height of the parallelogram relates to the height of the circle because it is equal to the radius of the circle. The height goes from the circumference to the point of any section of the circle. I hope this helps.

Step-by-step explanation:

Answer: Well I will try to answer it

Step-by-step explanation:

A. I would say that the height of the base of the parallelogram its related to the circle since the base have the SAME shape of the circle. The height goes from the circumference to the point of any section of the circle and the radius well, it's the same.

B. I'm not so sure sorry

Other Questions
Assume the beta for the stock market in general is 1.0 and the beta for World-Wide Television Productions is 2.8. If the stock market increases in value by 5 percent, what is the expected increase in value for the World-Wide Productions stock? If 150 G of war started burning 300 G of where as was left behind how many grams of CO2 gas is released 1. Why is soil erosion relatively less in dense forests as compared to barren, open fields? DO NOT TROLL AND ANSWER WITHOUT THE CORRECT ANSWER! I EXPECT THE CORRECT ANSWER NOT A TROLL SO IF YOU DONT HAVE THE ANSWER DO NOT WRITE ANYTHING. IF YOU TROLL I WILL REPORT YOUA weather balloon with a volume of 3.40774 Lis released from Earths surface at sea level.What volume will the balloon occupy at analtitude of 20.0 km, where the air pressure is10 kPa?Answer in units of L. Please answer this question Answer as soon as possible X^2 + 10x = 0How do I solve for a completed square ? 1377. Thence the welter of waters washes up 1378. Wan to welkin when winds bestir 1379. Evil storms, and air grows dusk, 1380. And the heavens weep. Now is help once more 1381. With thee alone! The land thou knowst not, 1382. Place of fear, where thou findest out 1383. That sin-flecked being. Seek if thou dare! Is best descibed as active,evil,unbelieable, and damp can someone please help me;/Which made Atlanta an important city for the Confederacy? Check all that apply.It was located on the Mississippi.It was located near the Union states.It was a communications center.It was a transportation hub.It was a manufacturing center.It was a center of learning. in 2011 there were 3223 sea otters in Monterey Bay California the bay is approximately 77 mi. to the nearest whole number what was the density of the sea otter population PEOPLE SHOW ANSWERS PLEASE AND WILL GIVE BRAINLIEST 8. The ratio of cats to dogs at a pet showis 1:3.a) What percent of the pets at theshow are cats? How does Hamilton respond to Jefferson at the first cabinet meeting? What does Alexander decide to do when Angelica comes home and goes upstate with Eliza? What does Hamilton do after Maria Reynolds husband finds out about their affair? I need help pleaseeee "nepali arts are related to religious and cultural practices" justify the statement. A hungry Emperor penguin was swimming 21 feet below sea level. It swam up 9 feet to eat a fish. What is the position of the penguin now relative to sea level? Which statement correctly describes the reason for the high specific heat of water?A.) Water has unusually strong hydrogen bonding. These bonds require extra energy to break. Therefore, water has a high specific heat.B.) The oxygen and hydrogen atoms in water molecules are bonded together with strong covalent bonds. The bonds require extra energy to break. Therefore, water has a high specific heat.C.) Water is made of ions. The attraction between ions requires extra energy to break. Therefore, water has a high specific heat.D.) The oxygen and hydrogen atoms in water molecules are bonded together with strong ionic bonds. The bonds require extra energy to break. Therefore, water has a high specific heat. can someone please help me Evaluate 1/6t+1/12 when t=1/2 Carefully study the chart above. If the trends seen on this chart continue, future literacy rates would___________?A. Literacy rates would stay about the same.B. Literacy rates would continue to increase, and the gap between men and women would continue to decrease.C. Literacy rates would continue to increase, and the gap between men and women would stay the same.D. Literacy rates would continue to decreasePlease select the best answer from the choices provided A B C D Find the point that is a solution for y=6x+8