19. The present age of brother and sister are in the ration 4:5 Before three years the ration of their age was 3:4. find their present age-​

Answers

Answer 1

Answer:

Sister = 15 years old

Brother = 12 years old

Step-by-step explanation:

Right now, if the brother is B years old and the sister is S years old, B = (4/5)S because the ratio from brother to sister is 4:5, so if one unit is X, B = 4X and S = 5X

Three years ago, the brother was B-3 years old and the sister was S-3 years old. Keeping one unit as X, we have

B = 3X

S = 4X

B-3 = (3/4)(S-3)

Therefore, we have a system of equations

B = (4/5)S

B-3 = (3/4)(S-3)

Substitute (4/5)S for B into the second equation to only have one variable

(4/5)S - 3 = (3/4)(S-3)

(4/5)S - 3 = (3/4)S - 9/4

add 3 to both sides and subtract (3/4)S from both sides to isolate the variable and its coefficient

(1/20)S = 3/4

multiply both sides by 20 to isolate the S

S = 15

B = (4/5)S = 12


Related Questions

What are the parents points for the equation f(x) = 3^x?

Answers

Answer:

(0, 1) and (1, 2)

Step-by-step explanation:

[tex]{ \rm{f(x) = {3}^{x} }}[/tex]

• Assume f(x) is one

[tex]{ \rm{ {3}^{x} = 1}}[/tex]

• Apply logarithms:

[tex]{ \rm{x log(3) = log(1) }} \\ \\ { \rm{x = 0 }}[/tex]

• Assume f(x) is 2

[tex]{ \rm{x = \frac{ log(2) }{ log(3) } }} \\ \\ { \rm{x = 1}}[/tex]

Tim is 40 lbs less than his bother. If together they weigh 220, how much does Tim weigh?

Answers

Answer:

90lbs

Step-by-step explanation:

If Tim weights 90lbs, his brother must weigh 130lbs which add to make 220lbs

HELP FAST!!!! A parking garage charges $5 for the first hour, $10 for up to two hours, and $12 for the entire day. Let G be the dollar cost of parking for t hours. Is t a function of G? Explain your reasoning.

Answers

Answer:

27

Step-by-step explanation:

just do 5+10+12

Is the relationship between the temperature scales proportional?Why or why not?

Answers

Answer: No, see explanation below

Step-by-step explanation:

For the relationship between the temperature scales to be proportional, the ratio (the number we get when dividing the given temperature in Celsius by the temperature in Fahrenheit) has to be constant.

[tex]\frac{0}{32}=0\\\frac{10}{50}=0.2\\\frac{20}{68}=0.29[/tex]

In the example, I give, we can see that is not the case. It applies to any value as well, therefore the relationship between the temperature scales is NOT proportional

Write a two- column proof.

Given: 3x = x + 12
Prove: x =5​

Answers

3x-x=12
2x=12
x=12/2
x=6

Plz help me with this question

Answers

Answer:

1422cm²

Step-by-step explanation:

Triangle:

First; 24 x 14 = 336

second: since there is 2 triangle u x 2

so its 672

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

Rectangle:

third; 25 x 10 = 250

forth; since there is 3 rectangle u x3

so its 750

last u add all ur answer for triangle and rectangle and u get

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

672 + 750 =

1422cm²

If correct please give brainliest

Stay safe and healthy

Thank You

A square with an area of 144cm is reduced by a factor of 1/3. How long are the new sides of the square?

Answers

Answer:

9.797. . .

Step-by-step explanation:

2/3 of 144 is 96

[tex]\sqrt{96} = 9.797...[/tex]

The assessed value of a certain house is Rs.15 000. If the the relevant council institutions charges 5℅ of the value of the house as rates,calculate the rates that have to paid for year.

Answers

Answer:

15000×5/100=100/100x

150×5=x

750=x

Assessed value that you have to pay for a year is Rs.750.00

Step-by-step explanation:

Have a great day!

SR1-2
Paula is standing on a bridge that is 110 above the water below. She throws a
pebble over the edge of the bridge, and it hits the top of a 24 foot high bridge
guard. The quadratic equation that models the path of the pebble is:
p(t) = –16t2 + 48t + 110
such that t is the time in seconds and p is the height of the pebble.

Answers

The time it will take the pebble to reach the maximum height is 1.5secs

Given the quadratic equation that models the path of the pebble expressed as p(t) = –16t^2 + 48t + 110

We can calculate the time taken by the pebble to reach the maximum height.

At maximum height, the velocity of the pebble is zero i.e. p'(t) = 0

p'(t) = -32t + 48

0 = -32t + 48

32t = 48

t = 48/32

t = 1.5secs

Hence the time it will take the pebble to reach the maximum height is 1.5secs

Learn more on velocity function here:https://brainly.com/question/25749514

what is the term to term rule for 2 6 18 54 162

Answers

The rule is 3x. The numbers are multiplied by 3 each time.

Answer:

It's always × by 3

Step-by-step explanation:

2×3=6

6×3=18

18×3=54

54×3=162

Evaluate the expression when b=-4 and y=2.
2y-b

Answers

The correct answer is 8
2y-b
2(2)-(-4)
4+4
8

X-Y=5, 6X-6Y =?


I think it's 30, but i don't know , I tried to think of a way and I thought about taking the 6 as a common and multiplying it to X-Y, Like :6(X-Y), and since X-Y =5 it'll be 30?​

Answers

Answer:

Yes, it is 30

Step-by-step explanation:

And yes, you thought it through correctly.  6(X-Y) = 6*5

6(X-Y) = 30

Answer:

[tex]\displaystyle 6x - 6y = 30[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Terms/Coefficient

Factoring

Step-by-step explanation:

Step 1: Define

Identify.

x - y = 5

Step 2: Solve

Factor:                                                                                                               [tex]\displaystyle 6x - 6y = 6(x - y)[/tex]Substitute in expression:                                                                                 [tex]\displaystyle 6x - 6y = 6(5)[/tex][Order of Operations] Evaluate:                                                                      [tex]\displaystyle 6x - 6y = 30[/tex]

If y is a positive integer, for how many different values of y is RootIndex 3 StartRoot StartFraction 144 Over y EndFraction EndRoot a whole number?.

Answers

The value of y will be 18 or 144.

Given information:

The given expression is [tex]\sqrt[3]{\frac{144}{y} }[/tex].

It is required to find the values of y which are whole numbers.

Now, factorize 144 as,

[tex]144=2\times2\times2\times2\times3\times3\\144=2^3\times2\times3\times3[/tex]

So, for the value of given expression to be a whole number, the value of y should be,

[tex]2\times3\times3=18[/tex] or 144.

For the above values of y, the given expression will be,

[tex]\sqrt[3]{\frac{144}{y} }=\sqrt[3]{\frac{144}{18} }\\=\sqrt[3]{8} =2\\\sqrt[3]{\frac{144}{y} }=\sqrt[3]{\frac{144}{144} }\\=\sqrt[3]{1} \\=1[/tex]

Therefore, the value of y will be 18 or 144.

For more details, refer to the link:

https://brainly.com/question/17429689

Answer:

Its B. 2

Step-by-step explanation:

Edge

Enola bought snacks for her team's practice. She bought a bag of oranges for $2.06 and a 3-pack of juice bottles. The total cost before tax was $5.06. Write and solve an equation which can be used to determine
x
x, how much each bottle of juice costs.

Answers

Answer:

$1

Step-by-step explanation:

Sorry the first x is blank

The second x:

$5.06-$2.06=$3

3/3=$1

The sum of three times a number and 5 is 32

Answers

Let the number be x.Therefore, by the problem3x + 5 = 32or, 3x = 32 - 5or, 3x = 27or, x = 27 ÷ 3or, x = 9

Answer:

The number is 9.

Hope you could get an idea from here.

Doubt clarification - use comment section.

[tex]\huge{\purple{\underline{\underline{\bf{\pink{ANSWER:-}}}}}}[/tex]

Let the no. be x.

[tex]:\implies\tt{3x + 5 = 32} \\ \\ \\ :\implies\tt{3x = 32 - 5} \\ \\ \\ :\implies\tt{3x = 27} \\ \\ \\ :\implies\tt{x = \frac{27}{3} } \\ \\ \\ :\implies\tt{x = 9}[/tex]

PLZZ HELP!
Pete mixed 4 1/6 cups of popcorn with 3 5/6 cups of pretzels. He then divided the snack into bags with cups in each. After dividing, how many bags of snack bags will Pete have? ( btw it needs to be in fraction)

Answers

Answer:

3/10

Step-by-step explanation:

u divide the fractions and u got a decimal I change the decimal and got 3 so I changed it to a fraction and got 3/10

write the equation of the line given the two points. (4,-3) and (3,1)

Answers

Answer:

y=-4x+13

Step-by-step explanation:

y=mx+b

slope =

1--3/3-4

4/-1

-4/1

y-1=-4(x-3)

y-1=-4x+12

y=-4x+13

Answer:

[tex]y = -4x + 13[/tex]

Step-by-step explanation:

First, find the slope (denoted by the variable, m). Use the following equation:

slope [tex](m) = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Let:

[tex](x_1, y_1) = (4 , -3)\\(x_2, y_2) = (3 , 1)[/tex]

Plug in the corresponding numbers to the corresponding variables:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 - (-3)}{3 - 4} = \frac{1 + 3}{-1} = \frac{4}{-1} = -4[/tex]

Use the slope-intercept form. The slope-intercept form is:

[tex]y = mx + b[/tex]

Use one of the given points to plug in for (x ,y). Also note that the slope (m) is equal to -4. Plug in the corresponding numbers to the corresponding variables:

[tex]y = mx + b\\(x , y) = (3 , 1)\\m = -4\\\\\\1 = (-4 * 3) + b\\1 = (-12) + b\\1 (+12) = b - 12 (+12)\\b = 1 + 12\\b = 13[/tex]

Plug in the slope (m) and the y-intercept (b) to get your equation:

[tex]y = -4x + 13[/tex]

~

What is the surface area of the rectangular prism below?

Answers

Answer:

is 736 units

Step-by-step explanation:

my explanation is that I got it wrong because of the answer above of me an the right answer was 736 not 706

The surface area of the rectangular prism below with height as 8 units, length as 19 units and breadth as 8 units is A) 736 square units.

The surface area of a rectangular prism is the total area of all the faces of the prism. The rectangular prism below has 6 faces, each of which is a rectangle.

The area of a rectangle is given by:

area = length * breadth

The surface area of the rectangular prism is then given by:

surface area = 2 * (length * breadth + breadth * height + height * length)

Plugging in the values for the length, breadth, and height, we get:

surface area = 2 * (19 * 8 + 8 * 8 + 19 * 8) = 2 * (152 + 64 + 152) = 2 * 368 = 736 square units

Therefore, the surface area of the rectangular prism is A) 736 square units.

Here is a breakdown of the surface area of each of the faces:

Front face: 19 * 8 = 152 square units

Back face: 19 * 8 = 152 square units

Top face: 8 * 8 = 64 square units

Bottom face: 8 * 8 = 64 square units

Left face: 19 * 8 = 152 square units

Right face: 19 * 8 = 152 square units

The total surface area is the sum of the areas of all 6 faces, which is 736 square units.

To learn more about surface area here:

https://brainly.com/question/29298005

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Which other congruency statements are correct?

Answers

Answer:

All are correct there are just disorganized.

hello please look in the comments​

Answers

Answer: Alright, I did UnU

Happy Birthday Jesus!
Don’t forget the true meaning of Christmas! May your day be filled with joy and many blessings! God bless <3

Answers


What is the true meaning of Christmas?

Answer:

fun fact

Step-by-step explanation:

I celebrate on christmas eve :)

german tradition

thanks and to you as well ^-^

ben's grandma gave him $75 in a new piggy bank. Ben will add $15 to his piggy bank each month. find x, the number of months Ben must add $15 until he has more than $225 in his piggy bank.

Answers

10 Months is the answer or it’ll be X=10

Lalit got 50% in Hindi,75% in English and 90 marks in maths. The maximum marks in each subject were 100,140 and 160 respectively. Find his aggregate percentage

Answers

Answer:

61%

Step-by-step explanation:

     MARKS  

        %    Max   Actual  

Hindi 50%    100 50  

English 75%     140 105  

Math              160 90  

   400 245       61%

(245/400)

Can you please help me with this question.

Answers

Answer:

I have helped you on the other question you asked. It's the same question.

what is the ratio of 9 boys and 6 girls in a class of 15 students

Answers

Answer:

3:2 i believe

Step-by-step explanation:

9:6

divide by 3

3:2

Look at triangle ABC. Coordinate grid shows negative 5 to positive 5 on the x axis and y axis at intervals of 1. A triangle ABC is shown with A at ordered pair 4, 5, B at ordered pair 2, 2, and C at ordered pair 4, 2. What is the length of side AB of the triangle? (1 point) a 3 b 5 c Square root of 6 d Square root of 13

Answers

The length of side AB from the given coordinate grid is; √20

How to find the length of the side of a triangle?

The formula for distance between two coordinates is;

d = √((y2 - y1)² + (x2 - x1)²)

From the graph attached in the given brainly link, we have;

A(4, 5) and B(2, 1)

Thus;

AB = √((1 - 5)² + (2 - 4)²)

AB = √(16 + 4)

AB = √20

In conclusion, the length of side AB is √20

Read more about Triangle side length at; https://brainly.com/question/3673178

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Please I need help!!

1. Complete the gaps:
α) 2,3dm² = …......mm²
β) 4.670 mm² = m²
γ) 0,0054km² =................dm²
δ) 307,3 acre= km²

2. Complete the gaps:
a) 0,3m² =..........dm² =..............cm² = mm²
β) 0,056dm² =.............cm² = mm²
γ) 7,31 cm² = mm²

no links
no spams
Report useless answers​
BRAINLIEST ANSWER​

Answers

Answer:

1a 2dm²= 20000mm² 3dm²=30000mm²

b 18898.8194926 m²

c 0.0054 km²= 540000 dm²

d 1.21931784007 km²

2a 30dm²=3000cm²=300000mm²

b 560cm²=56000mm²

c 7.31cm²=731mm²

HELP QUICK PLS Which property is used in the following expression? (4 + 8) + 6 = 4 + (8 + 6) Associatve Property Commutitive Property Distributive property

Answers

the answer is distrubutive property

Please anyone help me ​

Answers

Answer:

cant tell what ths says

Step-by-step explanation:

Consider the figure below. Write the equation of the line of reflection.
_____ = ______

Answers

Answer:

y = 0

Step-by-step explanation:

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