Raju is twice as old as Paul.
Kai is 6 years younger than Raju.
The sum of their ages is 29 years.
Form a linear equation in x and find Kai's age.​

Answers

Answer 1
Let Paul’s age = x years
Raju’s age = 2x
To get Kai’s age, We have to subtract 6 from 2x as Kai is 6 years younger than Raju
Kai’s age = 2x -6
Sum of their ages = 29
x + 2x + 2x- 6 = 29
5x - 6 = 29

Add 6 to both sides
5x = 29 + 6
5x = 35
Dived both sides by 5
x = 35/5
x = 7
Paul’s age = 7 years
Raju’s age = 2*7
= 14 years
Kai’s age = 14 - 6
= 8 years

Related Questions

what does 13.2 − 1.78 equal

Answers

Answer: it equals 11.42

Step-by-step explanation:

Answer:

11.42

Step-by-step explanation:

Determine the solution to each linear system by using the substitution method
3x+2y=4
2x-y=5

Answers

Answer:

The solution is x = 2

Step-by-step explanation:

i) 3x+2y=4

ii) 2x-y=5

Let's isolate y for the second equation

2x-y=5

2x-5 = y

y = 2x-5

Now use this y and substitute it in the first equation.

3x+2y=4

3x + 2(2x-5) = 4

3x + 4x - 10 = 4

7x / 7 = 14 / 7

x = 2

alex earned $ 20.40 in three hours what is the unit rate in dollars per hour

Answers

Divide total made by total hours:


20.40 / 3 = $6.80 per hour

Answer:

See below.

Step-by-step explanation:

Divide the amount of money by the time.

20.4/3=6.8

So, alex earned $6.80 per hour.

-hope it helps

.For any positive integer n, prove that n^3 - n is divisible by 6. ​

Answers

Answer:

Step-by-step explanation:

Proving the Sum of the Interior Angle Measures of a Triangle Is 180°

Answers

Answer:

okay that is great.......?

answer:

the full answers for it

Step-by-step explanation:

find the area of this circle. Use 3.14 as (pie symbol) click the photo to see the circle ! Please help

Answers

Answer: 452.16ft²

Area = πr².
Area = 3.14 × 12²
Area = 3.14 × 144
Area = 452.16ft²

Answer:

Its 452.16

Step-by-step explanation:

Because the formal is  [tex]\pi[/tex]r2

Which is 3.14*12*12=452.16

simplify the expressions by applying the properties of potentiation...​

Answers

Answer:

[tex] \dfrac{x^5}{y^{10}} [/tex]

Step-by-step explanation:

[tex] \dfrac{x^2y^{-6}}{x^{-3}y^4} = [/tex]

[tex] = x^{2 - (-3)}y^{-6 - 4} [/tex]

[tex] = x^5y^{-10} [/tex]

[tex] = \dfrac{x^5}{y^{10}} [/tex]

Solve the system using substitution
y+8x=10
2y-4x=40
(_,_)

Answers

No lo se bro eso es de secundaria yo voy en primaria xd

Step-by-step explanation:

i used the two methods....I hope this will help you!

pls help! no links

A spy realizes his cover is blown and flees toward his secret
evacuation spot at a speed of 60 mph. Two hours later, a special
agent in a helicopter starts chasing the spy. The special agent travels
the same route at a speed of 90 mph.

What distance does the spy cover in t hours?

Answers

Answer:

60t = y

t; time in hours

60: Speed of the spy fleeing

y: how far he has gone in t hours

Hope this helps!

Please rate and mark brainliest!!

Have a great day!!

A irrational number less than 0

Answers

Answer:

Minus square root of 2, minus square root of 3, minus pi, minus e, etc. Or, to be a bit more fancy, 1 - pi, 2 - pi, 3 - pi, pi - 4, pi - 5, 2 - e, e - 3, square root of 2 minus 2, etc.

PLEASE, PLEASE LIKE ME AND FOLLOW ME IF YOU LIKE MY ANSWER PLEASE!!!

What is the perimeter of the square?

Answers

96cm

Step-by-step explanation:

From the question,

Area of rectangle(A) =Area of square(A)

or,32*18=Area of square

or, 576= l^2

or√576=l

or, 24cm

Now, we know,

Perimeter of the square=4l

=4*24cm

=96cm

Amir is a collector. He currently has 397 rare stamps. Amir wants to double his collection. How many stamps will be in Amir's collection?
stamps

Answers

Answer:

794 stamps in his collection

Step-by-step explanation:

If Amir started out with 397 stamps and doubles his collection, he would have 794.
Take the original amount and multiply it by 2

397(2) =794 stamps

Answer:794

Step-by-step explanation:

397x2=794  

can someone help me please? I don't understand what I need to do​

Answers

Answer:

You need to find what X= then put the answer in the box to the left

Step-by-step explanation:

What is the domain of the function in this table?
х
2
3
4
5
у
5
8
11
14

Answers

5 lol it’s simple just use the two numbers in the middle or the one number in the middle

help? can you figure this out?

Answers

Answer:

C. Is the answer

Step-by-step explanation:

Hope it helps

(PLEASE HELP)(THIS IS MIDDLE SCHOOL LEVEL EASY!) What is the surface area of the box

Answers

Answer:

C) 42 square cm

Step-by-step explanation:

each rectangle 2x3 = 6

each square 3x3 =9

4 rectangles 4x6 = 24

2 squares     2x9=18

24+18 = 42

What is the next term of the geometric sequence? 40/27, 20/9, 10/3, ??

Answers

Answer:

3/1

Step-by-step explanation:

PLEASE HELP! ASAP!!!!!

Answers

Answer:

A, E, B

Step-by-step explanation:

Suppose that two lines, AB and CD, are intersected by a transversal.
Which of the following reasons alone could be used to show that the lines are parallel?
Corresponding angles converse
Consecutive interior angles theorem
Vertical angles theorem
Transitive property of congruence

Answers

The Consecutive interior angles theorem can be used to show that the lines AB and CD are parallel

What is an angle?

An angle is formed from the intersection of two or more lines. Types of angles are acute, obtuse, right angle.

The consecutive interior angle theorem states that if a pair of parallel line is intersected by a transversal, the pair of consecutive interior angles formed is supplementary

The Consecutive interior angles theorem can be used to show that the lines AB and CD are parallel

Find out more on angle at: https://brainly.com/question/25770607

Which statements accurately describe the triangles? Check all that apply.
The common ratio between the triangles is because
3 ** -3,
The common radio between the langles is 2.5 because -25,
The triangles could be similar
The triangles could not be similar
The ratio of the sidelengths are not consistent
The ratio of the side lengths are consistent

Answers

Answer:

the ratio of the side lengths are consistent

What is the measure of space inside a suitcase?

Answers

Answer:

Linear inches

Step-by-step explanation:

or really, any linear dimension – simply refer to the sum total of your bag's length, width and depth.

Answer:

These are based on the main compartment inside the suitcase and are measured in liters with an average capacity of 20 liters, whilst most large cases have an average capacity of 100 liters.

Step-by-step explanation:Brainliest

Which equation could be used to solve for the length of side c, given a = 5, b = 12, and C = 72°?

Answers

Answer:

The value of the length of the side C is 11.49.

Step-by-step explanation:

Cosine formula is applicable.

c² = a² + b² -2abcos(C)

substitute the values:

c² = (5)² + (12)² -2(5)(12)cos(72)

= 25 + 144 - 2 (60) (0.309)

= 169 - 37.08

c² = 131.92

square root both sides:

c = sqrt(131.92)

C = 11.49

Chris wants to create a rectangular rose garden in his yard. He has 40 meters of garden fencing to go around the garden and he has to use it all. Pick two different ways in which he could construct the garden.

Answers

Answer:

Dimension 1 = 12 x 8

Dimension 2 = 14 x 6

Chris should choose Dimension 1

Step-by-step explanation:

Perimeter of a rectangle = 2 × width + 2 × length

                                         = 2(width + length)

Given:

perimeter = 40m

⇒ 40 = 2(width + length)

⇒ width + length = 20 m

Therefore, possible dimensions:

Dimension 1 = 12 x 8  (as 12 + 8 = 20)Dimension 2 = 14 x 6  (as 14 + 6 = 20)

We need to calculate the area of both choices.  The choice with the greatest area will allow the most vegetables to be planted.

Area of Dimension 1 = 12 x 8 = 96 m²Area of Dimension 2 = 14 x 6 = 84 m²

Therefore, Chris should choose Dimension 1 (12 x 8).

please help!!!!!!!11

Answers

Answer:

a = 6 , b = 5

Step-by-step explanation:

using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] = [tex]\sqrt{ab}[/tex]

then

[tex]\sqrt{180}[/tex]

= [tex]\sqrt{36(5)}[/tex]

= [tex]\sqrt{36}[/tex] × [tex]\sqrt{5}[/tex]

= 6[tex]\sqrt{5}[/tex]

with a = 6 and b = 5

a=6
b= 5

these are the answers hope they are correct

help me please if you know it​

Answers

93/150 would be the final answer

is this right? please tell me :) asap!!

Answers

Answer:

A

Step-by-step explanation:

calculate 20% of $88

[tex]\frac{20}{100}[/tex] × $88 = 0.2 × $88 = $17.60

An Olympic diver is competing for a medal. His height in feet above the water
can be modeled by the function f(x)= -2(x-5)(x+1), where x is the time in seconds
after he begins the dive. Find how long it takes the diver to reach the water?

Answers

It takes the diver 5 s to reach the water.

Quadratic equations

These are mathematical equations in which the highest power of the unknown is 2 and in factored form are written as f(x) = (x -a)(x - b)

Since the Olympic divers height in feet above the water can be modeled by the function f(x) = -2(x-5)(x+1), where x is the time in seconds after he begins the dive.

The diver reaches the top of the water when f(x) = 0.

So, equating f(x) to zero, we have

f(x) = 0

-2(x-5)(x+1) = 0

Dividing through by -2, we have

(x-5)(x+1) = 0

So, (x - 5) = 0 or (x + 1) = 0

x = 5 or x = -1

Since time cannot be negative, x = 5 s.

So, it takes the diver 5 s to reach the water.

Learn more about quadratic equations here:

https://brainly.com/question/24860429

These graphs show the cost C for ordering n homecoming dance invitations from two doffer Companies

Answers

Do you have a picture of the mathmatic problem?

Leo designs a stand for the new statue on display at the local library. The stand is in the shape of a right trapezoidal prism. The base of the prism has an area of 3 ft2, and the prism stands 3.2 feet high. As Leo paints the stand, he calculates the surface area of the stand to be 35 ft2.
Leo is asked to purchase roping that will be used to close off the area around the statue. He purchases a length that is five times the perimeter of the stand in roping.
How much roping does he purchase?
Leo plans to add gold leaf to the sides of the stand but not to the two bases.
What percent of the area of the stand will have gold leaf? Round your answer to the nearest whole number.

Answers

Answer:

A: 45 5/16

B: The present of the area as 83%

Step-by-step explanation:

(a)

35= 3+3+3.2x+3.2x+3.2x+3.2x

35= 6 + 12.8

29/12.8 +12.8x/12.8

X=2.265625 = 2/12/64

1x = 2 17/64 * 4 + 9 1/16

P = 45 5/16

(b)

The present of the area as 83%

35 – the bases or 6 = 29

29/35 + 0.82857142857

0.82857142857 * 100 = 82.8571428571

Rounded to the nearest whole number is 83%

help me with this please

Answers

Answer:

B and C

Step-by-step explanation:

Answer:

-15/-3,-5/-1

Step-by-step explanation:

please mark me as brainlest

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