at present Ankit is twice as old as his son in four years he will be four times as old as what his son was 9 years ago find the present years of both of them​

Answers

Answer 1

Answer:

His son present age is 20 years

His present age is 40 years

Step-by-step explanation:

Assume that this son's age now is x years

∵ His son's age now = x years

∵ Ankit age is twice as old as his son

→ Twice means × 2

∴ Ankit age = 2 × x = 2x years

→ In for years means after 4 years (add)

∵ His age in four years = 2x + 4

→ 9 years ago means before 9 years (subtract)

∵ His son 9 years ago = x - 9

∵ In 4 years he will be four times as old as what his son was 9 years ago

→ That means 2x + 4 = 4 × (x - 9)

2x + 4 = 4(x - 9)

→ Let us solve the equation to find x

∴ 2x + 4 = 4(x) - 4(9)

∴ 2x + 4 = 4x - 36

→ Subtract 4 from both sides

∵ 2x + 4 - 4 = 4x - 36 - 4

∴ 2x = 4x - 40

→ Subtract 4x from both sides

∵ 2x - 4x = 4x - 4x - 40

∴ -2x = -40

→ Divide both sides by -2

∵ [tex]\frac{-2x}{-2}[/tex] = [tex]\frac{-40}{-2}[/tex]

x = 20

∵ x represents the present age of his son

His son present age is 20 years

∵ 2x represents his present age

∵ 2(20) = 40

His present age is 40 years


Related Questions

What is the answer here

Answers

Answer is B. 6a/b^7

If correct make brainliest?

Select all expressions that are equivalent to 6(b + 2) – b.

5b + 8

7b + 8

5b + 12

6b + 8 – b

6b + 12 – b

Answers

Expressions equivalent would be 6b + 8 - b.

The given expression is equivalent to -

6b + 12 - b 5b + 12

What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is the expression as -

6(b + 2) – b

We can write this expression as -

6(b + 2) – b = 6b + 12 - b = 5b + 12

Therefore, the given expression is equivalent to -

6b + 12 - b 5b + 12

To solve more questions on algebraic expressions, visit the link below -

brainly.com/question/1041084

#SPJ2

Hannah invested $820 in an account paying an interest rate of 1.8% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest hundred dollars, would be in the account after 16 years?

Answers

Answer:

$1,093.67 = $1,100 rounded to th next $100

Step-by-step explanation:

Final investment value

$1,093.67

Total interest earned

$273.67

Initial balance

$820.00

Total monthly deposits

$0.00

Effective Annual Rate (APY)

1.816%

The formula used in the compound interest calculator is A = P(1+r/n)^(nt)

A = the future value of the investment

P = the principal investment amount

r = the interest rate (decimal)

n = the number of times that interest is compounded per period

t = the number of periods the money is invested for

Answer:

1100

Step-by-step explanation:

Is Oregon a swing or a safe state?

Answers

Answer:

Oregon is a safe state

Step-by-step explanation:

this election it is also democratic

Mr. Granados deposited $5,300 into an account. He made no additional deposits or withdrawals. Mr. Granados earned 6.5% annual simple interest on the money in the account. What was the balance in dollars and cents in Mr. Granados' account at the end of 6 years?

Answers

5,300. 6.5. 6 is how you get the answer

Use: Ck
n!
k! (n-k)!
to solve the combination.
During a lunch seminar chocolate,
caramel, and strawberry toppings
were available. How many two-topping
sundaes are possible?

Answers

Answer:

3

Step-by-step explanation:

Chocolate-caramel

Carmel- strawberry

Chocolate-strawberry

That’s 3 ways.

Step 2: Evaluating trends of data
Because you want to prepare and serve the healthiest food possible, you monitor the fat
and calorie content of items on your menu. Some of the menu items are included in the
graph below.
Fat & Calorie Content
1000
800
1600
Calories
400
200
0
0
6
10
12
2
14
16
8
Fat
a) Your business partner describes this as a high positive correlation. Is your partner
correct? Why or why not? (2 points)
b) Using the drawing tools, draw a trend line (line of best fit) on the graph above. (2
points)

Answers

Answer: im actually doing this rn

Answer:

I know im late but here is the answer can i still get breainliest?

Step-by-step explanation:

a) Your business partner describes this as a high positive correlation. Is your partner correct? Why or why not?

Yes, my partner is correct because as the fat increases the calories increase. And when the points are rising from the left to the right, this indicates a positive correlation.

b) Using the drawing tools, draw a trend line (line of best fit) on the graph above.

it's basically a line that goes up to the right like this /

c) Judge the closeness of your trend line to the data points. Do you notice a relationship between the data points?

This is a linear trend because it moves in a line going up at a predictable rate.

d) Is the trend line linear? If so, write a linear equation that represents the trend line. Show your work.

No, the trend line is not linear, because it squiggles at the end.

A right triangle has side 9 and hypotenuse 15. Use the Pythagorean Theorem to find the length of the third side.
Provide your answer below:

Answers

Answer:

12

Step-by-step explanation:

Pythogorean Theorem:

a squared + b squared = c squared

9 squared or 81 + ? squared = 15 squared or 225

Inverse Pythagorean Theorem:

c squared - a squared = b squared

225 - 81 = 144

sqrt (144) = 12

12 = b

Hope this helps! Good luck!

How do you write 1 2/3 as a decimal.

Answers

Answer:

1.7

Step-by-step explanation:

I WILL MARK BRAINLIST

Answers

Answer:

D

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

It translates 5 up and 3 left

Jack spent $6.34 on haircut. $35.70 on groceries and $18.77 on a cake. How
much money has he left, if he had $88.76 to start with?

Answers

$88.76 - $6.34 - $35.70 -$18.77 = $27.95

The residual for a predicted relative abundance when the rainfall was 3 inches is 1.25. What is the actual relative abundance when the rainfall was 3 inches

Answers

Answer:

The actual relative abundance will be "7.59".

Step-by-step explanation:

The residual on something like a curve anywhere at a point becomes expressed as the maximum at either the position between some of the real y-value as well as the expected y-value. Consequently, the difference regarding true relative abundance as well as expected relative abundance seems to be 1.25 whether we presume that the x-variable represents rainfall, as well as they-variable, represents the relative abundance of locusts.

The predicted relative abundance for 3 inches rainfall will be:

= [tex]6.7 - (0.12\times 3)[/tex]

= [tex]6.34[/tex]

The residual will be:

= [tex]actual - predicted \ relative \ abundance[/tex]

= [tex]1.25[/tex]

Now,

The actual relative abundance will be:

= [tex]1.25 + predicted \ relative \ abundance[/tex]

= [tex]1.25 + 6.34[/tex]

= [tex]7.59[/tex]

Remember that perhaps the residual positive value means that even the calculation underestimates the relative abundance. The real relative abundance, however, is 7.59.

What is the common difference between successive terms in the sequence?
2, 8, 14, 20, 26, .
ΟΟΟΟ
-6
-4
4
6

Answers

The sequence you add 6 each time so I say 6

Multiply -5/3 and -9/1

Answers

it’s 15!! hope this helps :))))
-5/3 x -9/1

Multiplying two negatives gives a positive:

5/3 x 9/1

Reduce the numbers using the greatest common factor (3):

5 x 3/1

5 x 3

15


Final answer is: 15

In fractional form: 15/1

What is the slope and the y-intercept of the following linear equation?

Answers

Answer:

wish i coul d help

Step-by-step explanation:

Katie just opened a checking account at the bank. Within the first month, she deposited three checks for $21.68, $42.09, and $65.44. She withdrew $4.64 for new pencils, $23.11 for earbuds, and $9.78 for movies from her account in the same month.

Answers

Complete question is;

Katie just opened a checking account at the bank. Within the first month, she deposited three checks for $21.68, $42.09, and $65.44. She withdrew $4.64 for new pencils, $23.11 for earbuds, and $9.78 for movies from her account in the same month.

Write Katie’s withdrawals as negative rational numbers and her deposits as positive rational numbers.

Answer:

Deposits are; +21.68, +42.09, and +65.44.

Withdrawals are; -4.64, -23.11, and -9.78

Step-by-step explanation:

We are told that the deposits are;

$21.68, $42.09, and $65.44.

Now, she withdrew $4.64 for new pencils, $23.11 for earbuds, and $9.78 for movies from her account in the same month.

We are told to write Katie’s withdrawals as negative rational numbers and her deposits as positive rational numbers.

A rational number is a number that can be expressed as the ratio of two integers. In this question, by inspection, all the given values for deposits and withdrawals can be expressed as the ratio of 2 integers.

Thus;

Deposits are; +21.68, +42.09, and +65.44.

Withdrawals are; -4.64, -23.11, and -9.78

which of the following statements is true?

A: 1.7 less than 1 1/2

B: 3/4 less than pr equal to 7/8

C: -1 1/2 less than -1.5

D:0.01 greater than 0.q​

Answers

Answer:

the answer will be A 1.7 less than 1 1/2

The term "jet stream" is often used by weather forecasters to describe
A: The cloud-like condensation trails that are sometimes seen behind jet aircraft.
B: Warm pacific winds associated with volcanic activity in the western pacific which carry heat to the north pole
C: Solar winds that bring high energy particles to the upper atmosphere, providing heat which sets off convection cycles disturbing weather in the tropical latitudes
D: The west to east winds that circle the globe, often just below the poles in latitude and just beneath the stratosphere in elevation

Answers

Answer:

daddy chill what does the man say?

Step-by-step explanation:

???

D; it’s the big winds that circle around the globe

In a random sample of 100 voters, 48 said they planned on voting for the Republican presidential candidate. On election day, 51% of voters actually voted for the Republican presidential candidate. (a) Identify the value of the sample proportion.

Answers

Answer: 0.48 .

Step-by-step explanation:

The sample proportion is a ratio of number of successes in a sample to the sample size.

Let p be the proportion of voters actually voted for the Republican presidential candidate.

Given:   In a random sample of 100 voters, 48 said they planned on voting for the Republican presidential candidate.

Sample proportion: [tex]\hat{p}=\dfrac{48}{100}=0.48[/tex]

Hence, the sample proportion is 0.48 .

the length of a rectangle is 7m more than twice the width, and the area of the rectangle is 99m to the second power. find the dimensions of the rectangle.​

Answers

Answer:

The area of a rectangle is 99 m^2 , and the length of the rectangle is 7 m more than double the width

Step-by-step explanation:

12x64, 7th grade math

Answers

Answer:

768

Step-by-step explanation:

Answer:768

Step-by-step explanation:

1 pound of blueberries cost $2.75 yes or no

Answers

Answer:

no

Step-by-step explanation:

cause I don't really know

HELP!!!!i will give BRAINLIEST

Answers

Answer:

2.9

Step-by-step explanation:

2 9/10 as an improper fraction is 29/10

29/10 as a decimal is 2.9

Answer:

2.9

Step-by-step explanation:

Math. Pls give brainliest:)!

Which interval for the graphed function has a local minimum of 0?

Answers

Answer: your answer would be   [2, 4]

Step-by-step explanation:

tell me if im wrong please

The ages of 8 different students in a college math class were used to make the box plot shown above. Which of the following
numbers below is the range of the ages?
A. 8
B. 5
C. 3
D. 18

Answers

Answer:

Range is 8

Step-by-step explanation:

To find range you need to subtract the largest number with the smallest. The largest is 28 and the smallest is 20.

28-20=8

help!! math question!

-4[tex]\frac{2}{5}[/tex] ÷ ( -5)

Answers

Answer:

is 22 over 25 and in decimal will be 0.88

Your answer would be -22
——
25

need help with it asap you need to show your work

Answers

Answer:

the correct answer is 21

Step-by-step explanation:

5+3×3(2)-2

5+18-2

=21

Can someone factor f(x)= 2x^4 -12x^3 +6x +20x and please show steps thank you

Answers

Answer:

I dont think the way you wrote it was right.

Step-by-step explanation:

Answer:

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

Step-by-step explanation:

Given

f(x)= 2x^4 -12x^3 +6x^2 +20x

Factoring in steps

f(x)= 2x^4 -12x^3 +6x^2 +20x =2x(x^3 - 6x^2 + 3x + 10) =2x(x^3 - x^2 - 2x - 5x^2 + 5x + 10)2x(x - 5)( x^2 - x - 2) = 2x(x - 5)(x -2)(x + 1)

Ms. Boyd has 9 bills in her purse that consist
of five-dollar bills and twenty-dollar bills. The
value of the bills is worth $105. How many
five-dollars bills and twenty-dollar bills does
Ms. Boyd have?

Answers

Answer:

5 twenty's 1 five

Step-by-step explanation:

20 x 5 = 100

100 = 5 = 105


Please answer this question! as fast as possible please anyone help

Answers

the answer would be in the y=m(m=slope of the line)x + b( the y intercept) so it works be

y=3x+-3