Three years back, afather was 24 years older than his son at present the father is 5 times as old as the son how old will the son be three years from now?​

Answers

Answer 1

Answer:

Let current age of father be x and current age of his son be y.

So 3 years ago, difference between their age was 24.

Therefore equation becomes

(x-3)-(y-3) = 24.

x - y = 24.

At present father is 5 times as old as son.

x = 5y.

Therefore 5y - y = 24.

y = 6.

Current age of son is 6 years. So after three years he will be 9 years old.

Step-by-step explanation:


Related Questions

What length of cable, rounded to the nearest foot is needed to connect the top of a 60-foot tower to an anchor point 35 feet

from the base of the tower?

A) 73

B) 67

C)69

D)64

Answers

9514 1404 393

Answer:

  C)  69 ft

Step-by-step explanation:

The desired length is the hypotenuse of a right triangle with legs 35 and 60. It can be found using the Pythagorean theorem.

  length = √(60² +35²) = √4825 ≈ 69.46

The length needed is about 69 feet.

HELP PLS
Given the exponential function f(x) and the logarithmic function g(x), which of the following statements is true?
*Exponential function f of x equals 3 to the power of x minus 1 that increases to the right passing through the point 0 comma 0 and logarithmic function g of x equals log in base 3 of x minus 3 increasing from left to right passing through the point 1 comma negative 3
A. As x approaches infinity, f(x) approaches infinity, and g(x) approaches 0.
B. As x approaches infinity, f(x) approaches 2, and g(x) approaches 0.
C. As x approaches infinity, f(x) approaches 2, and g(x) approaches infinity.
D. As x approaches infinity, f(x) approaches infinity, and g(x) approaches infinity.

Answers

Answer:

As x→∞, f (x)→∞ and g(x)→∞.

Step-by-step explanation:

Looking at the graph there is no asymptote interrupting either f(x) or g(x) so when the graphs will continue on they will just approach infinity. Also just took this assessment and got a 100%.

7 divided by 345689 ​

Answers

Answer:

Do you mean 345689/7 if so it equals this 49384.1428571. If you didn't and you mean 7/345689 it equals this. 0.00002024941

A line passes through the point (-6,-9) and has a slope of . Write an equation in slope-intercept form for this line.

Answers

Answer:

y = [tex]\frac{5}{2}[/tex]x + 6

Step-by-step explanation:

Please help

Solve the inequality.
1
x+ z
x+-3-3 or x - 3>-2
'
7.
x <
or x >[ ]
[?]

Answers

9514 1404 393

Answer:

  x ≤ -7/2 or x > 1

Step-by-step explanation:

To solve the left inequality for x, subtract 1/2 from both sides:

  x ≤ -3 -1/2

  x ≤ -7/2

__

To solve the right inequality for x, add 3 to both sides.

  x > -2 +3

  x > 1

what is the equivalent ratio of 24 to 6

Answers

Answer:

1/4

Step-by-step explanation:

24/6

4

4+4+4+4+4+4

what number divided by four equals three?

Answers

Answer:

12 divided by 4 equals 3

Step-by-step explanation:

1.2.PS-9
Which numbers are rational?
8
11
7, 3.41, 0,
2
-9
3'
Select all that apply.

Answers

9514 1404 393

Answer:

  all except π are rational numbers

Step-by-step explanation:

Any ratio of integers, terminating decimal, or repeating decimal is a rational number. Pi (π) is represented symbolically because it cannot be written exactly. It is an irrational number.

All of the numbers listed except π are rational.

53 x(41 x 11) = (53 x 41) x 11

A. True
B. False

Answers

Step-by-step explanation:

As it holds Associative property..

So, it's correct

Answer:

TRUE

Step-by-step explanation:

Associative property of multiplication

) A real estate agent sells a unit for $800 000. The commission rate is 2.75% of the selling price. Calculate the commission. (A) $25 000 (B) $27 750 (C) $220 000 (D) $22 000

Answers

Answer:

The answer is (D) $22 000

Step-by-step explanation:

800,000/100 = 8,000

I did this to show 1% of 800,000 is 8,000 (To find 1% of a number always divide it by 100)

8,000*2.75=22,000

I did this because since I know 8,000 is 1% percent of the price I can times it by the percentage rate to find how much the commission is. Also note that there are other ways to solve this equation that may suit you better, this is the way I do it and I find it much more faster.

10) Pete is fast, Repeat is 3 times faster. If
Pete and Repeat can complete the job in
56 minutes, how fast is Pete? (I want
Pete's time only)

Answers

Answer:

14 minutes

Step-by-step explanation:

if Pete is x times fast then Repeat is 3x faster

so if both combine to complete a job in 56 minutes then we have

[tex]x + 3x = 56 \\ 4x = 56 \\ x = 14[/tex]

remember Pete is x hence Pete was 14 minutes fast

State the gradient of the line perpendicular to the line y = 3x - 2.

Answers

Answer:

Step-by-step explanation:

y = 3x - 2

Slope of line is 3.

Slope of any perpendicular to the line is -⅓.

what is the annual salary equivalent to a semimonthly salary of $834.08?

Answers

Answer:

$20,017.92

Step-by-step explanation:

Semimonthly means twice a month.

There are 12 months in a year.

12 x 2 = 24 (because they are payed twice a month)

24 x 834.08 = 20017.92

PLZZZ HELP ME
Solve the equation and check your solution.
1. 3(x+6)=18+3x
2. -2(x-1)=2-2x
3. x+4=-2+x
4. -2(x+2)=5-2x

Answers

Answer:

1. 0

2.0

3.2

4.1

Step-by-step explanation:

1.3x+18

2.-2x+2

3.x-x+4-2

5-2x-2+5-2x

Answer:

3x + 18 = 18 + 3x-2x + 2 = 2 - 2x4 = -2 (the statement is false)-4 = 5 (the statement is false)

Plz help me with these with steps

Answers

Answer:

10. 9/40

11. $72

Step-by-step explanation:

10.

Step 1: Have the whole cake as 1,

[tex]1-\frac{1}{8} -\frac{2}{5} -\frac{1}{4}\\= 1 -\frac{5}{40}-\frac{16}{40}-\frac{10}{40} \\= \frac{9}{40}[/tex]

11.

Step 1: Find the remaning income left

[tex]1-\frac{5}{16}-\frac{1}{4}-\frac{1}{24} -\frac{1}{48} \\= \frac{3}{8} \\[/tex]

Step 2: Calculate the weekly income

3 units = $27

1 unit = $9

Weekly income = $9 * 8 = $72

For the following system of equations, determine how many solutions there are. y = 5(x − 4) and 4x + 12 = −y

Answers

Answer:

It has two solutions

Step-by-step explanation:

[tex]y = 5(x - 4)[/tex]

substitute for y in second equation:

[tex]4x + 12 = - y \\ 4x + 12 = - \{5(x - 4) \} \\ 4x + 12 = - 5x + 20 \\ 9x = 8 \\ x = \frac{8}{9} [/tex]

then for y:

[tex]y = 5(x - 4) \\ y = 5( \frac{8}{9} - 4) \\ \\ y = 5( - \frac{28}{9} ) \\ \\ y = - \frac{140}{9} [/tex]

how to find the sum of 12 and 36 using the gcf and distributive property

Answers

I don’t really know ask Siri

which fractions is equivalent is 6/10
1.3/5
2.9/12
3.20/50
4.40/50

Answers

Answer:

1 as

3/5 × 2/2 = 6/10

Step-by-step explanation:

Hope it helps

Kelly said that 97/1000 can be written as 0.97 is correct? Explain.

Answers

Answer:

No

Step-by-step explanation:

To write 97/1000 as a decimal you have to divide numerator by the denominator of the fraction.

We divide now 97 by 1000 what we write down as 97/1000 and we get 0.097

And finally we have:

97/1000 as a decimal equals 0.097

HELP ME PLS!!!!!!!!

Answers

9514 1404 393

Answer:

  $58

Step-by-step explanation:

James currently has $67 less than $125:

  $125 -67 = $58

James currently has $58.

An apartment building contains 250 apartments. There are 50 more 2-bedroom apartments than 1-bedroom apartments. How many apartments of each type are there

Answers

Answer:

100

Step-by-step explanation:

Answer:

100 1- bedroom and 150 2- bedroom

Step-by-step explanation:

let x be the number of 1- bedroom apartments , then

x + 50 is the number of 2- bedroom apartments , so

x + x + 50 = 250 ( subtract 50 from both sides )

2x = 200 ( divide both sides by 2 )

x = 100

There are 100 1- bedroom apartments and 100 + 50 = 150 2- bedroom

If 2/5 of a pole is 3:6,what will be the length of 5/9 of it?​

Answers

Answer:

Ans : the length of 5/9 is 5m

_____ - (-5) = -15
pls help

Answers

Answer:

[tex]x - ( - 5) = - 15 \\ x + 5 = - 15 \\ x = - 15 - 5 \\ x = - 20 \\ thank \: you[/tex]

Answer:

y-(-5)=-15

y+5=-15

y=-15-5

y=-20

7/9+6/8+6/3=

I really need the answer

Answers

Answer:

[tex]\frac{1}{30}[/tex]

Step-by-step explanation:

Take it in steps. First, find 7/9+6. Then we'll find 8+6/3, and, finally, we'll divide the two answers.

1:

7/9+6 = 7/15

2:

8+6/3 = 14/3

3:

[tex]\frac{\frac{7}{15}}{\frac{14}{3}}[/tex] or [tex]\frac{7/15}{14/3}[/tex]

Then take that in chunks: 7/14 and 15/3.

7/14 = 1/2

15/3 = 5/1

Use those to rewrite it as [tex]\frac{1/5}{2/3}[/tex].

1/5 = .2

2/3 ≈ .6667 so we'll keep writing it as 2/3

[tex]\frac{\frac{.2}{2}}{3}[/tex]

.2/2 = .1, so:

[tex]\frac{.1}{3}[/tex] = [tex]\frac{1}{30}[/tex]

I used photo maths I 10/10 recommend it, it shows step by step and the final answer to ur question is 3 19/36 or we can write it in decimal form 3.527

Describe how many zeros this equation will have, and where they are.
(1 Point)
f (x) = -2x2 – 5x – 2

Answers

Answer:

Let y=x

2

−5x+6, when we substitute different values of x in the equation y=x

2

−5x+6 then value of y changes accordingly.

When x=0 then

y=(0)

2

−(5×0)+6=0−0+6=6

The point is (0,6)

When x=2 then

y=(2)

2

−(5×2)+6=4−10+6=10−10=0

The point is (2,0)

When x=3 then

y=(3)

2

−(5×3)+6=9−15+6=15−15=0

The point is (3,0)

Therefore, the coordinates are (0,6), (2,0) and (3,0) and the graph of the quadratic equation y=x

2

−5x+6 is as shown above.

Hence, from above graph, we get that x=2 or x=3.

I need help with math please here is a photo

Answers

is there a graph for this question?

brainiest to whoever right

Answers

Answer:

(x - 6)(x + 2)

Step-by-step explanation:

x^2 - 4x - 12

=x^2 - 6x + 2x - 12

=x( x - 6) + 2(x - 6)

=(x - 6)(x + 2)

Answer:

x^2 -4x-12

factorization of 12 =2×2×3 = 6×4

or in the place of 4x = we put (6-2)x

x^2-(6-2)x-12

x^2-6x+2x-12

x(x-6)+2(x-6)

(x-6) (x+2)

solve for x, need help asap!

Answers

Let's solve for x using trigonometric relation ( Cos )

we know,

[tex] \cos(30 \degree) = \dfrac{base}{hypotenuse} = \dfrac{ \sqrt{3} }{2} [/tex]

now

[tex] \dfrac{x}{8} = \dfrac{ \sqrt{3} }{2} [/tex]

[tex]x = 8 \times \dfrac{ \sqrt{3} }{2} [/tex]

[tex]x = 4 \sqrt{3} [/tex]

hence, the value of x is [tex] 4 \sqrt{3} [/tex]

Find the value of x 8/x=6/30

Answers

Answer:

x = 40

BRAINLIEST, PLEASE!

Step-by-step explanation:

8/x = 6/30

8/x = 1/5

x = 8/(1/5)

x = 8(5)

x = 40

3. A sea gull was flying 4 feet above sea level when a fish below it jumped one foot out of the water. How far apart were the seagull and the (unlucky) fish?​

Answers

Answer: 3ft difference

Step-by-step explanation:

Seagull = +4ft

Fish = +1ft     (since it jumped 1ft above sea level)

4-1 = 3ft difference

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