The ages of Raju and Ravi are in the ratio 3:4 Four years from now the ratio of their ages will be 4:5 Find their present ages​

Answers

Answer 1

Answer: Their present age is 12 and 16.

Step-by-step explanation:

Let the required age be 3x and 4x

so

(3x+4)/(4x+4) = 4/5

5(3x+4) = 4(4x+4)

or, 15x + 20 = 16x + 16

or, 15x - 16x = 16-20

or, -x = -4

so, x = 4

now,

3x = 3*4 = 12

4x = 4*4 = 16


Related Questions

What is the slope of the line? What is the y-intercept of the line? y = 1

Answers

Answer:

m = 0

y intercept = 1

Step-by-step explanation:

The given equation of the line is ,

[tex]\implies y = 1[/tex]

We know that the Standard equation of Slope Intercept Form of the line is,

[tex]\implies y = mx + c[/tex]

Where ,

m is slope c is y intercept

On comparing to the Standard form of the line we get ,

[tex]\implies Slope = 0 [/tex]

[tex]\implies y - intercept= 1[/tex]

Slope of the line is 0, since y=mx+c, if m = 0, then y = c, where the constant (c)=1

y intercept of the line is y = 1.

Answered by GAUTHMATH

(a) Determine a cubic polynomial with integer coefficients which has $\sqrt[3]{2} + \sqrt[3]{4}$ as a root.

(b) Prove that $\sqrt[3]{2} + \sqrt[3]{4}$ is irrational.

Answers

Answer:

(a) [tex]x\³ - 6x - 6[/tex]

(b) Proved

Step-by-step explanation:

Given

[tex]r = $\sqrt[3]{2} + \sqrt[3]{4}$[/tex] --- the root

Solving (a): The polynomial

A cubic function is represented as:

[tex]f = (a + b)^3[/tex]

Expand

[tex]f = a^3 + 3a^2b + 3ab^2 + b^3[/tex]

Rewrite as:

[tex]f = a^3 + 3ab(a + b) + b^3[/tex]

The root is represented as:

[tex]r=a+b[/tex]

By comparison:

[tex]a = $\sqrt[3]{2}[/tex]

[tex]b = \sqrt[3]{4}$[/tex]

So, we have:

[tex]f = ($\sqrt[3]{2})^3 + 3*$\sqrt[3]{2}*\sqrt[3]{4}$*($\sqrt[3]{2} + \sqrt[3]{4}$) + (\sqrt[3]{4}$)^3[/tex]

Expand

[tex]f = 2 + 3*$\sqrt[3]{2*4}*($\sqrt[3]{2} + \sqrt[3]{4}$) + 4[/tex]

[tex]f = 2 + 3*$\sqrt[3]{8}*($\sqrt[3]{2} + \sqrt[3]{4}$) + 4[/tex]

[tex]f = 2 + 3*2*($\sqrt[3]{2} + \sqrt[3]{4}$) + 4[/tex]

[tex]f = 2 + 6($\sqrt[3]{2} + \sqrt[3]{4}$) + 4[/tex]

Evaluate like terms

[tex]f = 6 + 6($\sqrt[3]{2} + \sqrt[3]{4}$)[/tex]

Recall that: [tex]r = $\sqrt[3]{2} + \sqrt[3]{4}$[/tex]

So, we have:

[tex]f = 6 + 6r[/tex]

Equate to 0

[tex]f - 6 - 6r = 0[/tex]

Rewrite as:

[tex]f - 6r - 6 = 0[/tex]

Express as a cubic function

[tex]x^3 - 6x - 6 = 0[/tex]

Hence, the cubic polynomial is:

[tex]f(x) = x^3 - 6x - 6[/tex]

Solving (b): Prove that r is irrational

The constant term of [tex]x^3 - 6x - 6 = 0[/tex] is -6

The divisors of -6 are: -6,-3,-2,-1,1,2,3,6

Calculate f(x) for each of the above values to calculate the remainder when f(x) is divided by any of the above values

[tex]f(-6) = (-6)^3 - 6*-6 - 6 = -186[/tex]

[tex]f(-3) = (-3)^3 - 6*-3 - 6 = -15[/tex]

[tex]f(-2) = (-2)^3 - 6*-2 - 6 = -2[/tex]

[tex]f(-1) = (-1)^3 - 6*-1 - 6 = -1[/tex]

[tex]f(1) = (1)^3 - 6*1 - 6 = -11[/tex]

[tex]f(2) = (2)^3 - 6*2 - 6 = -10[/tex]

[tex]f(3) = (3)^3 - 6*3 - 6 = 3[/tex]

[tex]f(6) = (6)^3 - 6*6 - 6 = 174[/tex]

For r to be rational;

The divisors of -6 must divide f(x) without remainder

i.e. Any of the above values  must equal 0

Since none equals 0, then r is irrational

Need help on this!! 10 points!!!

Answers

Answer:

The answer is B

find the area of the kite. please help thank you

Answers

Answer:

1/2×d1×d2

=1/2× (4+4)(6+3)

=36

Convert the following 4.5 hours Into Second- ( Soin 24​

Answers

Answer: 16,200 Seconds

Step-by-step explanation:

Data: 4.5 hours(h)=x seconds(s)

Step One, Convert Hours Into Minutes

4.5h=4h and 30 minutes(m)

1h=60mx4=240m+30=270m

Reason: Since to convert to seconds, minutes are needed, you have to convert everything to minutes. And with 60 minutes in an hour you have to multiply 60 by 4 to get 240 and add 30 minutes to it(since it's 4.5 hours) to find ourselves at 270 minutes.

Step two, Convert Minutes Into Seconds

1m=60s

270mx60=16,200s

Reason: Since we are ultimately trying to get 4.5 hours into seconds, we have to convert the minutes we have into seconds by multiplying 270 minutes by 60(since 60 seconds are in a minute) to get our final answer of 16,200 seconds.

I hope this helps!

Find the volume of the cone shown as a decimal rounded to the nearest tenth.

Answers

Answer:

1866.10604

Step-by-step explanation:

V=3.14(r sqaured)1/3h

What is the smallest 6 digit palindrome that is divisible by 99


I've been trying for 3 hours and I still cant figure it out PLEASE help.

Answers

Answer:

108801

Step-by-step explanation:

6-digit palindrome is the number n the form of:

xyzzyx

This is divisible by 11 by default as the sum of the digits in odd placed is same as sum of the number in even places (remember the divisibility rule by 11):

x + z + y = y + z + x

Now, in order to be divisible by 99, the number must be divisible by 11 and 9.

According to divisibility rule by 9 the sum of all digits must be divisible by 9. You can see In our case we need to have (the minimum):

x + y + z = 9

The smallest number we could get is when x is minimum, y is minimum, so:

x = 1, y = 0, then y = 8

The number we get is:

108801

Proof:

108801/99 = 1099

Hello,

Let's assume n the palindrome

[tex]n=\overline{abccba}\\\\Since\ 99=9*11:\\\\the \ smallest\ \Longrightarrow \ a=1\\\\a+b+c+c+b+a=9*k\ ,\ k\in \mathbb{N}\\2*(a+b+c)=9*k\ \Longrightarrow \ k\in 2\mathbb{N} , \ : k=2\\\\1+b+c=9 \Longrightarrow \ b=0\ and\ c=8\\\\n=108801\\\\Proof:\\108801=9*12089 =11*9891\\Nota\ bene:(a+c+b)-(b+c+a)=11*p \Longrightarrow \ 0=11*p \Longrightarrow \ p=0[/tex]

Determine the simplest expression for the area of shaded region below

Answers

Answer:

5x^2+3x^2+(3x+1)^2+(2x-4)^2

Which of the relations given by the following sets of ordered pairs is not a function?
0 [(5,0), (4,0), (3,0), (2,0), (1,0)}
{(-4, - 2),(-1, - 1), (- 1,1),(3,5), (7, 10)}
{(-8,3), (- 6,5), (- 4,2), ( - 2,7), ( - 1,4)}
{(-6,4), ( – 3, - 2), (0,5), (1, - 2), (2,3)}

Answers

Answer:

{(-4, - 2),(-1, - 1), (- 1,1),(3,5), (7, 10)} is not a function.

Step-by-step explanation:

For a function to be a function, there is only ever one y value per x value. In this set, -1 has two outputs, or y values. It has -1 and 1. As a result, this is not a function.

picture for question

Answers

Answer:

pretty sure it would be 90 degrees

CAN SB HELP ME !! Use the image and your knowledge of the isosceles triangle to find the value of x

Answers

Answer:

x = 41 degrees

Step-by-step explanation:

Since two of the sides are shown as being congruent, the base angles are the same. We are given the top angle, which is 98 degrees. All the angles of a triangle add up to 180. We can subtract 98 from 180, giving us 82, and divide that by two (since the base angles are congruent), giving us a measure of 41 degrees for each of the bottom angles of the isosceles triangle.

Solve for x. Round to the nearest tenth of a degree, if necessary.

Answers

Answer:

78

Step-by-step explanation:

Describe the error Sadie made, and explain how to find the correct answer.

Answers

Answer:

She could've factored further

Step-by-step explanation:

a^5 can be written as a^4*a

so the answer should've been 3a^3b*sqrt(6ab)

BRAINLIEST PLEASEEEEEEEEEEE

Answer:

She should have factored a^7 as a^6 * a. Then sqrt(a^6 * a) = a^3 * sqrt(a).

[tex] 3a^3b\sqrt{6ab} [/tex]

Step-by-step explanation:

She should have factored a^7 as a^6 * a. Then sqrt(a^6 * a) = a^3 * sqrt(a).

Correct answer:

[tex] 3a^3b\sqrt{6ab} [/tex]

A number cube has faces numbered 1 to 6.

What is true about rolling the number cube one time?

Answers

Answer:

All numbers have an equal chance of being landed on.

given the diagram, what is m

Answers

Answer:

∠ ADC = 145°

Step-by-step explanation:

The central angle is equal to the measure of the arc that subtends it, then

∠ ADE = 70°

∠ EDC = 75°

∠ ADC = ∠ ADE + ∠ EDC = 70° + 75° = 145°

A furnace operates at 2,300°F. Before it
can be used to extract metal from an ore,
the temperature must be raised to
3,600°F. This takes place at a rate of
250°F per quarter hour. Which equation
gives the furnace temperature T after q
quarter hours?
A T= 2509 + 2300
B T = 250q + 3600
C T = 2300q + 250
DT= 3600q + 250

Answers

Multiply the rate per quarter hour by quarter hours: 250g. This then gets added to the starting temperature of 2300

The answer would be : A. T = 250g + 2300

PLEASE HELP!!! What is the volume of the solid? Let π=3.14.





A. 5,425.92 m3

B. 2,1714.7 m3

C. 8,131.09 m3

D. 3,214.54 m3

Answers

Answer:

A. 5,425.92 m3

Step-by-step explanation:

Radius = 24m

Length = 12m

Volume = Area * Length

Area = π * (radius ^2)

Radius = Diameter / 2

Radius = 24m / 2 = 12m

Area = π * (12m^2)

Area = 3.14 * 144  = 452.16m

Volume = 452.16m * 12m

Volume = 5425.92m3

which table represents a linear function graph 1.​ pleasee help also giving brainliest

Answers

Answer:

2 i think it is

Step-by-step explanation:

Answer: Table on the farthest left

Explanation: The table on the farthest left represents a linear function graph. This is because the x values go up by the same number each time, and the y values do as well. Even though they do not go up by the same number, the fact that x goes up by 1 each time and y goes up by 1/2 each time makes the table linear. The other tables are not linear; even though the x value goes up by the same number each time, the y value does not.

Hope this helps! Comment below for more questions.

Simplify:

-4a + 2(a + 9)

A. -2a + 9
B. -2a + 18
C. 2a + 9
D. 2a + 18

Answers

Answer:

B. - 2a + 18

Step-by-step explanation:

- 4a + 2( a + 9 )

= - 4a + 2a + 18

= - 2a + 18

Answer:

B

Step-by-step explanation:

got it right on edge :))

HELP ASAP

Jack is taking a two-day road trip. He drove 425 miles on the first day, and needs to travel a total of 825 miles to reach his final destination. How many miles does Jack need to drive on the second day to get to his destination?

Answers

Answer:

400 miles

Step-by-step explanation:

825 - 425 = 400

Answer:

Step-by-step explanation:

825 - 425= 400 which is what she is going to drive on the second day

i need help pleeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaseeeeee

Answers

Answer:

3 option is correct

Step-by-step explanation:

because all the domains and ranges calculation matches in eqn 3

Using the unit circle, what is the exact value of tan pi/6?

Answers

Answer:

1/root(3)

Step-by-step explanation:

the steps are in the pic above.

The value of tan pi/6 is 0.5773502.

What are trigonometric functions?

The trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths. They are widely used in all sciences that are related to geometry, such as navigation, solid mechanics, celestial mechanics, geodesy, and many others.

Given that, what is the exact value of tan pi/6,

To find the value of tan π/6 using the unit circle:

Rotate ‘r’ anticlockwise to form pi/6 angle with the positive x-axis.

The tan of pi/6 equals the y-coordinate(0.5) divided by the x-coordinate(0.866) of the point of intersection (0.866, 0.5) of unit circle and r.

Hence, the value of tan pi/6 = y/x = 0.5774 (approx)

Learn more about trigonometric functions click;

https://brainly.com/question/6904750

#SPJ7

Quais são os zeros(ou raízes) da função quadrática f(x) = x² + 3x - 4? Assinale a alternativa correta. *
a) 2 e 3
b) 1 e - 4
c) 3 e 4
d) 4 e -1

Answers

Given:

The quadratic function is:

[tex]f(x)=x^2+3x-4[/tex]

To find:

The zeros of the given quadratic function.

Solution:

We have,

[tex]f(x)=x^2+3x-4[/tex]

Splitting the middle term, we get

[tex]f(x)=x^2+4x-x-4[/tex]

[tex]f(x)=x(x+4)-1(x+4)[/tex]

[tex]f(x)=(x+4)(x-1)[/tex]

For zeros, [tex]f(x)=0[/tex].

[tex](x+4)(x-1)=0[/tex]

[tex]x=-4,1[/tex]

Therefore, the correct option is (b).

PLISSSSSS HELPPPPPP!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

1.3

Step-by-step explanation:

The Rest Of Them Are Writen As Fractions

Answer:

[tex]\sqrt{10}[/tex]

NOTE: the other answer is WRONG...

irrational means can not be written as a fraction (with whole numbers)

4/3 = 1.33333333333

Step-by-step explanation:

Help with math question ​

Answers

Answer:

z=4x

=14y10

Step-by-step explanation:

this is the answer

Rewrite the following expression.



A.

B.

C.

D.

Answers

Answer:

da

Step-by-step explanation:

Lshonda sells beaded necklaces. Each large necklace sells for 4.70 and each small necklace sells for 4.20. How much will she earn from selling 4 large necklaces and 1 small necklace

Answers

Answer: Lshonda will earn $23.

Step-by-step:
The equation would be (4•4.7) + (1•4.2)
4 multiplied by 4.7 is 18.8
1•4.2 is 4.2
18.8+4.2=23

hope this helps! :)

help me por favor?!?!?!​

Answers

Answer:

both lines have the same slope, hence they are parallel to each other

Step-by-step explanation:

The equation of a straight line is given by:

y = mx + b;

where y, x are variables, m is the slope of the line and b is the y intercept.

Two lines are said to be parallel to each other if they have the same slope, whereas two lines are perpendicular to each other if the product of their slopes is -1.

Given a line with an equation:

y = (2/3)x - 17

From the equation of the line with can see that the slope of the line is 2/3 and the y intercept is -17.

Also the other line has an equation of 4x - 6y = -6

6y = 4x + 6

y = (2/3)x + 1

Hence this line has a slope of 2/3 and a slope of 1.

Since both lines have the same slope, hence they are parallel to each other

Find the measure of ∠AED for m∠BEC = 118

Answers

Answer: 118°

Step-by-step explanation:

100 x 54 + 77 ÷ 2 = ? (RIGHT ANSWER GETS BRAINLIEST)

Answers

Answer:

5438.5

Step-by-step explanation:

To complete this equation, we must use the order of operations also known as PEMDAS.

For the case of this problem, we start by multiplying or dividing numbers before adding or subtracting numbers.

First let's start on the left:

100 x 54 + 77 ÷ 2

5,400 + 77 ÷ 2

5,400 + 38.5

5438.5

I hope this helps! Just remember to always add or subtract number last and start on the left, so that you don't get confused.

Answer:

So 2,738.5

Step-by-step explanation:

100×54 equals

— 5,400

5,400+77 equals

—5,477

5,477÷2 equals

—2,738.5

The answer is 2,738,5

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