Three years ago Alicia was twice as old as her brother Carlos. In two more years Alicia will be just 50% older than Carlos. How old is Alicia today?

Answers

Answer 1

Answer:

13 years

Step-by-step explanation:

Let the present age of Alicia be x

Let the present age of her brother be y

Three years ago;

Alicia age = x - 3

Her brother's age = y - 3

If three years ago Alicia was twice as old as her brother Carlos, then;

X - 3 = 2(Y-3)

x-3 = 2y - 6

x = 2y - 3 ...1

In two years time;

Alicias age = x+2

Her brother's age = y +2

If in two more years Alicia will be just 50% older than Carlos, then;

x+2 = y + 2 + (0.5(y+2))

x+2 = y+2 + 0.5y + 1

x+2 = 1.5y+3

x = 1.5y + 1 ...2

Equating 1 and 2;

2y - 3 = 1.5y + 1

2y - 1.5y = 1+3

0.5y = 4

y = 4/0.5

y = 8

Since x = 2y-3

x = 2(8) - 3

x = 16-3

x = 13

Hence Alicia will be 13 years old today


Related Questions

the lager value of y for which (y-1)²=4y-7 is​

Answers

Answer:

the lager value of y is 4.

Step-by-step explanation:

Given;

(y-1)² = 4y - 7

Simplify as follows;

(y - 1)(y - 1) =  4y - 7

y² - y - y + 1 =  4y - 7

y² - 2y  +  1  =  4y - 7

Collect like terms

y² -2y - 4y + 1 + 7 = 0

y² - 6y + 8 = 0

Factorize the equation;

y² -2y - 4y + 8 = 0

y(y - 2) -4(y - 2) = 0

(y - 2)(y - 4) = 0

y = 2   or   y = 4

Thus, the lager value of y is 4.

help please!
A -1.8
B -1.6
C -1.5
D -1.3

Answers

A -1.8 Because the periods each represent 0.2

Answer:

B) -1.6

Step-by-step explanation:

As you can see there is a pattern of 5 dashes, meaning that each dash would increase by 0.2

So, the dash behind the -1 equals to -1.2. The one two dashes behind the -1 would be -1.4. Sequentially, the dash E would be -1.6.

Am I correct?

in an academic contest, correct answers earn 12 points and incorrect answers lose 5 points. In the final round, School A starts with 165 points and given the same number of correct and incorrect answers. School B starts with 65 points and given no incorrect answers and the same number of correct answers as School A. The game ends with the Schools tied.

Part A: Which equation models the scoring in the final round and the outcome of the contest?
A.) 12x + 5x - 165 = -12x + 65
B.) 12x - 5x + 165 = 12x + 65
C.) 5x - 12x + 165 = 12x + 65
D.) 12x - 5x - 165 = 12x +65

Part B: How many answers did each school get correct in the final round?

Answers

Answer:

part a is b part b is 230 tell me if im wrong

Step-by-step explanation:

Step-by-step explanation:

Let x represent the number of correct answers School A gave.

Then x is also the number of incorrect answers School A gave and the number of correct answers School B gave.

Final score of School A

= 165 + 12x - 5x.

Final score of School B

= 65 + 12x

Hence the correct equation is

12x - 5x + 165 = 12x + 65. (B)

=> 7x + 165 = 12x + 65

=> 5x = 100

=> x = 20

Hence Schools A and B got 20 correct answers each.

Anna bought a new computer for $859 using a
24-month loan with a 18.99% interest rate. How
much will she have paid in total at the end of
the loan?

Answers

Answer:

4773,97

Step-by-step explanation:

[(18,99*859)/100]*24+859=4773,97

$1,185.25 is your answer!

Order from least to greatest −1/2, -1.5, -3/5, -0.3, 0, 0.8, 0.25, 1/3, 3/4, 2 3/4

Answers

-1.5, -3/5, -1/2, -0.3, 0, 0.8, 0.25, 1/3, 3/4, 2 3/4

Answer:

-1.5, -3/5, -1/2, -0.3, 0, .25, 1/3, 3/4, .8, 2 3/4

Does anyone know the answer

Answers

It should be the third one

To the nearest tenth, what is the perimeter of the triangle with vertices at (−2, 3), (3, 6), and (2, −2)?

Answers

9514 1404 393

Answer:

  20.3

Step-by-step explanation:

The distance formula can be used to find the side lengths.

  d = √((x2 -x1)^2 +(y2 -y1)^2)

For the first two points, ...

  d = √((3 -(-2))^2 +(6 -3)^2) = √(5^2 +3^2) = √34 ≈ 5.83

For the next two points, ...

  d = √((2 -3)^2 +(-2-6)^2) = √(1 +64) = √65 ≈ 8.06

For the last and first points, ...

  d = √((-2-2)^2 +(3-(-2)^2) = √(16 +25) = √41 ≈ 6.40

Then the sum of the side lengths is ...

  5.83 +8.06 +6.40 = 20.29 ≈ 20.3

The perimeter of the triangle is about 20.3 units.

what is the domain and range of f(x)= 1.5(x)?

Answers

Answer: look at the picture and you will see the answer

Step-by-step explanation: hope this help

Which equation represents the horizontal line passing through (5, 3)?

Answers

Step-by-step explanation:

General equation for horizontal line: y = a

Since the point (5, 3) has y-value 3,

the equation of the horizontal line is y = 3.

A map of two cities is plotted on a coordinate grid one city is centered at -60,40 while the other is at 40,20 a rest station lies at the midpoint of a straight road joining the centers of each city what is the location of the rest station

Answers

Answer: -10, 30

Explanation: I found the median of x and y and put it together

Answer: -10,30

Step-by-step explanation: I drew the graph, and it lined with 30 and interCepted -10

-8+y=14

Solve the equation for the value of the variable show all work please please help me:):)

Answers

Answer:

y = 22

Step-by-step explanation:

we want to move the -8 to the other side, so 14+8 = 22

y = 22

check: -8 + 22 = 14

Answer:

[tex] \underline{ \boxed{y = 22}}[/tex]

Step-by-step explanation:

[tex]if \to : -8+y=14 \: ..... \\ \: we \: need \: to \: solve \: for \: (y)\\ -8+y=14 \: ..... \\ \: (add \: ( + 8) \: to \: the \: right \: and \: left) \to : \\ - 8 + 8 + y = 14 + 8 \\ 0 + y = 22 \\ \boxed{y = 22}[/tex]

A basketball team played six games. In those​ games, the team won by 8 ​points, lost by 7 ​, won by 9 ​, won by 11 ​, lost by 3 ​, and won by 6 . What was the mean difference in game scores over the six​ games?

Answers

Answer:

4

Step-by-step explanation:

From the question, we were told that a basket ball team six games and in those games, the team won by 8 points, lost by 7, won 9 , won 11 , lost by 3 and won by 6

The mean difference in games scored over the six games would be calculated as the addition of the scores divided by 6

= [8 + (-7) + 9 + 11 + (-3) + 6] / 6

= 24 / 6

= 4

=

What is the value of x0?​

Answers

Answer:

The answer is 0.

Step-by-step explanation:

If you multiply any number by 0, you get 0.

What is the value of x in simplest radical form?

Answers

Answer:

x= 29

Step-by-step explanation:

[tex]x^2=20^2+21^2\\\\x^2=400+441\\\\x^2=841\\\\x^2=29^2\\\\x=29[/tex]

We will move past Coronavirus and recover.
Just remember to wear your mask.
Get the vaccine once it comes out.
Stay at home unless absolutely necessary.
#TogetherWeRecover2021

Answers

Answer:

can you heart this so i can get some point for my homework

Step-by-step explanation:

Find the equation of the line with the points (-2, 3) and (4,-8)​

Answers

Answer:

-3/2

Step-by-step explanation:

By using

Y2+y1/2 + x2+x1/2

Use the Distributive Property to solve the equation.
2
(9a + 6) = 23.8
3

Answers

Answer:

Q:    2(9a+6)

A:     18a+12

hope this helps!!:)

Step-by-step explanation:

Answer:

18a+12

Step-by-step explanation:

what does pre-image mean ? like when your using a graph & they ask “what the preimage of (4,2) what does that mean ?

Answers

the image before the transformation

Classify the system and give the number of solutions.
answer choice
This system is consistent. It has infinitely many solutions.
This system is inconsistent. It has infinitely many solutions.
This system is inconsistent. It has no solutions.
This system is consistent. It has one solution.

Answers

Answer: i think it’s going to be inconsistent with no solution

Step-by-step explanation:

If someone were to procrastinate their summative assignment until Sunday, 1/24/21, how much time would it take for them to complete the assignment?

just looking for an answer to my problem :)

Answers

Depends on how long the assignment is, is there any way I can help you with it? :)

The lowest temperature ever recorded in the United States was -62 degrees Celsius, in Prospect Creek Camp, Alaska. The average temperature on Mars is about -55 degrees Celsius.

Which is warmer, the coldest temperature recorded in the USA, or the average temperature on Mars? Explain how you know.
Write an inequality to show your answer. Check your work with the video when you are ready.

Answers

Answer:

United States

Step-by-step explanation:

-62 < -55?

Because on the number line, -62 is farther left than -55.

Which of the following linear functions have a rate of change that is greater than 14? Select all that apply. Fahim received a signing bonus of $1000 and then made $10 per hour. x y –2 15 0 30 2 45 x y –3 58 1 –6 2 –22 Annie painted 2 houses in 16 hours. Jay drove 64 miles in 4 hours. x y 3 –20 2 –40 0 –80

Answers

Answer:Jay drove 64 miles in 4 hours.

Step-by-step explanation:

I just know this is the answer I just got this right!!!!!

Which function represents the inverse of function f?

Answers

Here you are multiplying by 3 then adding 5. When doing the inverse, you would do the opposite.

Start with x. then subtract by 5. Itvwould be x-5.

Then divide by 3. So it would be (x-5)/3 which is 1/3x-5/3 which is D


11. A large container has a maximum capacity of 64 ounces. The container
is filled with 8 ounces less than its maximum capacity.
PART A
PART B
To what percent of its capacity is the large
Some liquid will be poured from a full
container filled?
16-ounce container until it is filled to the
same percent of its capacity as the large
container in Part A. How many ounces
of liquid must be poured from the full
16-ounce container? Explain.

Answers

Part b is the answer

Answer:

Step-by-step explanation:

Bbbbbbb is right

Good morning can y’all help me

Answers

Answer:

The answer is (A.)

Step-by-step explanation:

4 x 9 = 36

6 x 9 = 54

8 x 9 = 72

Describe the steps you would use to factor
2x3 + 5x2 - 8x – 20 completely. Then state the
factored form.
DONE
Which important information did you include in your description? Check all of the boxes that apply

Answers

i think you meant " two x to the 3rd power" and "5x squared" if that's what you meant, 1. Factor out x^2 from the expression
2. Factor out -4 from the expression
3. Factor out 2x+5 from the expression
4. Use a^2-b^2= (a-b) (a-b) to factor the expression
and you'll get (2x+5) x (x-2) x (x+2)

If you meant 2 times 3 and 5 times 2 you would
1. multiply 2 times 3
2. multiply 5 times 2
3. then add 6+10
4. subtract 10-20
5. Factor out -4 from the expression
6. you get -4(1+2x)
(the picture is for the first one)

Solve: 4x - 8 > 32
A) X <10
B)x > -10
C) X > 10
D) X < -10​

Answers

Answer:

C) x > 10

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of Equality

Step-by-step explanation:

Step 1: Define

4x - 8 > 32

Step 2: Solve for x

Add 8 on both sides:                    4x > 40Divide 4 on both sides:                x > 10

Here we see that any value x greater than 10 would work as a solution to the inequality.

At the animal shelter for every 6 dogs they had 4 cats. If there are 80 pets in total at the animal
shelter, how many dogs are there

Answers

Answer60

Step-by-step explanation:

Please help this is due in 5 minutes

Answers

Answer:

i dont really see where the indivusal x is?

Step-by-step explanation:

Answer:

looks really hard

Step-by-step explanation:

sorry i couldnt help

20 points!
Just need help on these questions
I will try to mark brainliest!

Answers

Answer:

the first one is 45% I don't no the second one

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