Ben is 4 times as old as Ishaan. 6 years ago, Ben was 6 times as old as Ishaan.
How old is Ishaan now?

Answers

Answer 1

Answer:

Ishaan is currently 15 years old.

Step-by-step explanation:

Let B represent Ben's current age and I represent Ishann's current age.

Ben is four times as old as Ishaan. In other words:

[tex]B=4I[/tex]

Six years ago, Ben was six times as old as Ishaan. In other words:

[tex]B-6=6(I-6)[/tex]

Solve for I. Substitute:

[tex](4I)-6=6(I-6)[/tex]

Distribute:

[tex]4I-6=6I-36[/tex]

Subtract 4I from both sides and add 36 to both sides:

[tex]2I=30[/tex]

And divide both sides by two. Hence:

[tex]I=15[/tex]

Ishaan is currently 15 years old.

Answer 2

Answer:

Age of Ishaan = 15 years

Step-by-step explanation:

Let Ishaan's age = x years

Age of Ben = 4 * x = 4x years

6Years ago:

Age of Ishaan = x - 6

Age of Ben = 4x - 6

6 years ago, Ben was 6 times as old as Ishaan

So, Age of Ben = 6 * Ishaan's age

     4x - 6 = 6 *(x-6)

4x - 6 = 6x - 36

Add 36 to both sides

4x - 6 + 36  = 6x  

4x + 30 = 6x

Subtract '4x' from both sides

30 = 6x - 4x  

30 = 2x

2x = 30

Divide both by 2 sides

x = 30/2

x = 15


Related Questions

I need help to find x=

Answers

Answer:

x=12

Step-by-step explanation:

Since the polygons are similar, we can write a ratio to solve

red side / yellow side

4      2

--- = ---

x       6

Using cross products

4*6 = 2x

24 = 2x

Divide by 2

24/2 =2x/2

12=x

Answer:

12

Step-by-step explanation:

When two shapes are similar, you need to find the scale factor of two existing corresponding sides.

For example, you can do 6 and 2.

Divide:

6/2 = 3

The scale factor: 3

Now multiply 4 and the scale factor (3):

4 × 3 = 12

So, x = 12.

Hope this helped.

Find a recursive rule for the nth term of the sequence.

-8, 3, 14, 25, ...

Answers

Answer:

Step-by-step explanation:

a1=-8

a2=3

D=11

n=-8+11(n-1)


A1=-8
A2=3
D=11. n=-8+11(+1)

Can somebody help me please.

Answers

I’m pretty sure it is 57?

find the least number which is exactly divisible by 15 , 20, 25
explain step by step​

Answers

Answer:

ans is 300

Step-by-step explanation:

you need to take LCM of 15,20,25 and their LCM Will be 300

I'M NOT PRETTY SURE ABOUT IT. ...

Answer:

300

Step-by-step explanation:

5/15,20,25

3,4,5

5*4*3*5

300

what is the square root of 100 ​

Answers

The square root of 100 is 10.

To check, solve 10 x 10.

Hope this helps! Please mark me as brainliest!

Have a great day!

Its 10 bcz (10)^2 is 100 ritee:))

Write the greatest and the least numbers formed by the digits 4, 2, 3, 5, 6 and add these numbers.




and those who will give it's correct answer I will make him /her brainlist​

Answers

Answer:

Greatest number is 65432

Lowest number is 23456

Step-by-step explanation:

[tex]65432+23456=88888[/tex]



H
and


G
are linear pairs. m
∠=40∘

H
=
40

. The measure of


G
is _________ degrees.

Answers

Answer:

G = 140

Step-by-step explanation:

Linear pairs add to 180

H+G = 180

40+G = 180

G = 180-40

G = 140

Determine the equation of the line that is parallel to the line 3x-4y-12=0 that passes through the point (-4,-1). Write the equation in slope-intercept form.

Answers

Answer:

y=(3/4)x+2

Step-by-step explanation:

write the equation in slope-intercept form: y=(3/4)x - 3

since it is parallel the slope is the same so we have y=(3/4)x + b

then plug in the point (-1) = (3/4)(-4) + b

-1 = -3 +b, b=2

y= (3/4)x + 2

create a line that is perpendicular to AB and passes through C. you can use the tools available in geogebra to create perpendicular lines for this construction display the measurement of the angle of intersection between the two lines???

Answers

A linear relationship can be written as:

y = a*x + b

where a is the slope and b is the y-intercept.

If we know that the line passes through two points, (x₁, y₁) and (x₂, y₂), then we can write the slope as:

a = (y₂ - y₁)/(x₂ - x₁).

Also, for a given line:

y = m*x + s

A perpendicular line to that one must have a slope:

a = -(1/m)

And the intersection between two perpendicular lines forms four 90° angles.

So first, we need to find the slope of the line that passes through A and B.

A = (-3, 3)

B = (-1, -1)

Then the slope of the line is:

a = (-1 - 3)/(-1 - (-3)) = -4/2 = -2

a = -2

The slope of a perpendicular line should be:

slope = -(1/a) = -(1/-2) = 1/2

Then the perpendicular line will be something like:

y = (1/2)*x + b

To find the value of b, we can use the other restriction.

This line needs to pass through point C.

And we can see that point C is:

C = (1, 2)

This means that when x is equal to 1, y must be equal to 2.

Then replacing these in the above equation we get:

2 = (1/2)*1 + b

2 = 1/2 + b

2 - 1/2 = 4/2 - 1/2 = 3/2 = b

Then our equation is:

y = (1/2)*x+ 3/2

The graph of this line can be seen in the image below, the green line is the line that we found.

If you want to read more about linear relations, you can see:

https://brainly.com/question/19586594

Answer:

Step-by-step explanation:

Solve for u. 42 = –7(u + 41)

Answers

Answer:

u = -47

Step-by-step explanation:

42 = -7(u + 41)

42 = -7u - 287

329 = -7u

u = -47

Choose a value for n that will make the sum negative.
15 + n

Answers

Answer:

n > -15

Step-by-step explanation:

15 + n

15 + -16 (at least)

n = -1

please help! look at picture!

Answers

Answer:

[tex]\frac{9}{8} = 1 \frac{1}{8}[/tex]

Step-by-step explanation:

2 [tex]\frac{7}{8}[/tex] = [tex]\frac{23}{8}[/tex]

1[tex]\frac{3}{4}[/tex] = [tex]\frac{7}{4}[/tex] = [tex]\frac{14}{8}[/tex]

[tex]\frac{23}{8}[/tex] -[tex]\frac{14}{8}[/tex] = [tex]\frac{9}{8} = 1 \frac{1}{8}[/tex]

Hey there! For this you will need to use the rule of subtracting fractions. 4 (the denominator) x 2 (to make it them equal) is 8. 3 x 2 is 6. The new fraction is 1 and 6/8. Now, subtract these to get your final answer, 1 and 1/8.

Hope this helps!

Ceasar opens a bank account with an initial deposit of $1800.00 with an annual interest rate of 3.2%. What is the balance on the account after one year?

Answers

Answer:

$1857.60

Step-by-step explanation:

Ceasar's initial deposit will earn $57.60 in interest after one year (annual interest rate of 3.2%). When that is added to his deposit of $1800, Ceasar will have $1857.60 in the bank at the end of one year.

Answer:

Hi jaajajajajaja

Step-by-step explanation:

Hi Hi aaaaaaaaaaaaaaaaa

could someone explain how to figure this out (marking brainliest to the most helpful answer) I will report fakes.

Answers

I believe the answer is A.

Remember that in order to find the slope, we use the slope formula.

The slope formula is: rise/run

Triangle A: 3/4
Triangle B: 4/3
Triangle C: 9/16
Triangle D: 8/12
A because triangle a= 3/4

express 5√72 in simplest radical form.

Answers

Answer:

30*sqrt(2)

Step-by-step explanation:

5*sqrt(72)=5*sqrt(36*2)=5*6*sqrt(2)=30*sqrt(2)

The mason will build a wall that uses 36 bricks in each row. The wall will be 140 rows high. Each brick weighs 4 pounds. What is the total weight of all the bricks?

Answers

Answer:

20,160 pounds

Step-by-step explanation:

bricks in each row * number of rows * pound of each brick

Answer:

20160 lbs

Step-by-step explanation:

To find the amount of bricks, multiply 36 by 140 which equals 5040. Then, multiply 5040 by the weight: 4. 5040×4=20160

Rearrange each of the following in slope/y-intercept form, y = mx + b.
a. 3x - 6y + 8 = 0 b. -2x - 5y - 2 = 0

Answers

Answer:

a.

[tex]{ \tt{3x - 6y + 8 = 0}} \\ { \tt{ 6y = 3x - 8}} \\ { \boxed{ \bf{y = \frac{1}{2} x - \frac{4}{3} }}}[/tex]

b.

[tex]{ \tt{ - 2x - 5y - 2 = 0}} \\ { \tt{5y = - 2x + 2}} \\ { \boxed{ \bf{y = - \frac{ 2}{5} x + \frac{2}{5} }}}[/tex]

Suppose a study finds that the correlation coefficient relating job satisfaction to salary is r=1. Which of the following are the proper conclusions?
I. High salary causes high job satisfaction.
II. Low salary causes low job satisfaction.
III. There is a very strong association between salary and job satisfaction.


I and II only

I, II and III

III only

I only

Answers

Answer:

its I, II and III.

Step-by-step explanation:

r values are from -1 to 1, if the value is 0 means there's no connection between values of variables, if its lower than 0, if the value of variable goes up the other goes down, if its higher than 0, than if one value of variable increases than the value of other variable increases too. the closer to 1 the stronger the association.

Help please anyone please

Answers

Welp....there's your answer

divide 5/6 and 1/12!!

Answers

Answer:

10/1

Step-by-step explanation:

5/6÷1/12

5/6×12/1 (do a inverse of 1 upon 12)

10/1

cancel 12 by 6

Which of the following sets represent D ∪ E?
{2, 4, 5, 6, 8, 15}
{2, 4, 5, 6, 8, 10, 15, 20}
{10, 20}
{3, 7, 9, 11}

Answers

Answer:

{2,4,5,6,8,10,15,20}

Answer:

{ 2,4,5,6,8,10,15,20}

Step-by-step explanation:

D ∪ E

This means the union of the two sets or what is in both circles with no duplicates

{ 2,4,5,6,8,10,15,20}

The hypotenuse of a right triangle is 52 in. One leg of the triangle is 8 in. more than twice the length of the other. What is the perimeter of the triangle?
20 in.
26 in.
120 in.
138 in.

Answers

Answer:

its c 120in

Step-by-step explanation:

The perimeter of the triangle is,

⇒ 138 in.

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

The hypotenuse of a right triangle is 52 in.

And, One leg of the triangle is 8 in. more than twice the length of the other.

Hence, We get;

Lengths of legs are,

⇒ x

And, ⇒ 8 + 2x

Hence, We can formulate;

⇒ 52² = x² + (2x + 8)²

⇒ 2704 = x² + 4x² + 64 + 24x

⇒ 5x² + 24x - 2640 = 0

⇒ x = 20 and x = - 132/5

For perimeter;

Take x = 20

Hence, The perimeter of the triangle is,

⇒ 52 + x + (2x + 8)

⇒ 52 + 20 + (2 × 20 + 8)

⇒ 52 + 20 + 48

⇒ 138 in.

Thus, The perimeter of the triangle is,

⇒ 138 in.

Learn more about the triangle visit;

brainly.com/question/1058720

#SPJ7

The sale price for a jacket that regularly costs $102.00 is now $74.00. With sales tax, a customer pays $82.40.

Answers

What Are You Trying To Ask?
If Your Asking How Much % Tax Was Added
Answer: 10%

If your asking how much money was added:
Answer: $7.40

If Your Asking How Much Money Was Removed From The Original Price: $18.00

If your asking how much was discounted
Answer: 16.0784314%

The polygons in each pair are similar. find the missing side length​

Answers

If polygons are similar ratio of sides will be same

[tex]\\ \sf\longmapsto \frac{6}{14} = \frac{3}{x} \\ \\ \sf\longmapsto 6x = 14 \times 3 \\ \\ \sf\longmapsto 6x = 42 \\ \\ \sf\longmapsto x = \frac{42}{6} \\ \\ \sf\longmapsto x = 7[/tex]

Calculate the mode of: 4.6, 3, 8.1, 9, 12, 3, 9, 3.5, 7, 3.

Answers

Answer:

the Mode Is 3

Step-by-step explanation:

You Have To Put the numbers from ascending order to descending order..The Numbers that appears the most is the mode

what is the equation of the line that passes through the points (-8,8) and (4,-1)​

Answers

Answer:

y = (-3/4)x + 2

Step-by-step explanation:

Find the slope of this line.  Note how the first x-coordinate (-8) becomes 4, a jump of 12, and how the first y-coordinate (8) becomes -1, a decrease of 9.  Then the slope is

m = (change in y) / (change in x) = -9/12 = m = -3/4

Find the y-intercept from this data using the slope-intercept form:

y = mx + b becomes  8 = (-3/4)(-8) + b when x = -8, y = 8 and m = -3/4.

Solving this equation for b, we get:

                                     8 = 6 + b, so that b must be 2.

The desired equation is y = (-3/4)x + 2.

the person above me is correct !!

Fill in the missing statements and reasons in the proof

Answers

Answer:

1. Given

2. Vertical angle theorem

3. AB≅DB, EB≅CB, m<ABC≅m<DBE

4. △ABC ≅ △DBE

Hope this helps :D

marked price of an item is 4000, what will be it's selling price having 20% discount and 10% vat.​

Answers

Answer:

I HOPE IT WILL HELP

EXPLANATION IS IN THE PHOTO .

Another way to do it is by

Multiplying the original value by the discounted percent, the percent taxed but add one to it.

(4,000)(.80)(1+10/100)= 3,520

4000 is the original value
.80 is the value of the item with 20% off
1.1 gives value after tax, adding the one allows you to see the value of the item after tax.




Please help me ASAP!! Please explain your answer

Answers

Answer:

113.1 cm²

Step-by-step explanation:

V = [tex]\frac{1}{3}[/tex] [tex]\pi[/tex] r² h

h = 12 cm , r = 3 cm , [tex]\pi[/tex] = [tex]\frac{22}{7}[/tex]

V ≈ 113.1 cm²

A factory produces 1, 250, 000 toys each year. The number of toys is expected to increase by about 150% per year. Which model can be used to find the number of toys, N (in millions), being produced in t years?

Answers

The question is incomplete, the complete question is;

A factory produces 1,250,000 toys each year. The number of toys is expected to increase by about 150% per year. Which model can be used to find the number of toys being produced, n (in millions), in t years?

A. n= 2.5(1.5)/t, t cannot = 0

B. n= 1.5t^2 + 1.25

C. n= 1.5t + 1.25

D. n= 1.25(2.5^t)

Answer:

D. n= 1.25(2.5^t)

Step-by-step explanation:

This is an exponential growth problem. In mathematics, for an exponential growth problem;

P = Po(1 + r)^t

Where;

P= amount at time t

Po =initial amount

r= rate

t= time

In the context of the question we have;

n= 1.25(1 + 150/100)^t

n= 1.25(2.5)^t

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