A father is 30 years elder than his son. after 8 years he will be 4 times as old as his son. find their present ages

Answers

Answer 1
Given:

Father is 30 years older than the son.

After 8 years , he will be 4 times as old as his son.

Find:

their present ages

Solution:

Let the son's age be x and age of father be y years

⟹ Father's age = Son's age + 30

⟹ y = x + 30 -- equation (1)

Also,

Son's age after 8 years = (x + 8) years.

Father's age after 8 years = (y + 8) years.

According to the above condition,

⟹ y + 8 = 4(x + 8)

⟹ y + 8 = 4x + 32

Substitute the value of y from equation (1).

⟹ x + 30 + 8 - 32 = 4x

⟹ 6 = 4x - x

⟹ 6 = 3x

⟹ 6/3 = x

⟹ 2 = x

Substitute the value x in equation (1).

⟹ y = 2 + 30

⟹ y = 32

Therefore,

Son's present age = x = 2 years.

Father's present age = y = 30 years.

I hope it will help you.

Regards.

Answer 2

Answer:

→ 11(2 + y) + 11y

→ 22 + 11y + 11y = 154

→ 22y + 22 = 154

→ 22y = 154 - 22

→ 22y = 132

→ y = 132/22

→ y = 6

Step-by-step explanation:


Related Questions

If (14, 25) and 49, -10) are two anchor points on a trend line, then find the equation of the line.​

Answers

Answer:

14 and 49 10 are anchor points trend line to this question

If -11 + N = -11, then N is the

Answers

Answer:

additive identity

Step-by-step explanation:

-11+N=-11     N=0

ADD 11 TO BOTH SIDES

-11+N+11   =-11 +11

(-11 AND 11 CANCEL EACH OTHER OUT ) THEREFORE

N=0

*Additive Identity Property states The sum of any number and 0 is that number.  

What is the missing length of this rectangle?

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Answer:

Answer is 11. You have to add the 4 and 7.

In rectangles all sides are either perpendicular or parallel, so you know that the missing side is equal to the bottom 2 horizontal sides added up.

4 + 7 = 11.

The missing side is 11cm.

substatute numbers from A B and C
if A=7 B=4 and C=3
What is the magic number of the magic square ?​

Answers

Answer:

if calculating any row or diagonal, the sum of 3 boxes is 21. That is the magic number

Answer:

my Instagram is: Thatkid.gio :)

ASAP WILL MARK BRAINLIEST
If UW = 6x - 35, find UW.

Answers

Answer:

u= 6x-35/w Hope this helped <3

Step-by-step explanation:

Let's solve for u.

uw=6x−35

Step 1: Divide both sides by w.

Step-by-step explanation:

Answer:-

This all will be attempted according to Figure.

We can see in figure ,

[tex]\tt{UW = 4x-20+19}[/tex] _____(1)

Now, question says that:-

[tex]\tt{UW = 6x - 35}[/tex]_______(2)

Equating ,

(1)=(2)

So,

[tex]\tt{4x-20+19 = 6x - 35}[/tex]

[tex]\tt{4x-1 = 6x - 35}[/tex]

[tex]\tt{4x-6x = +1- 35}[/tex]

[tex]\tt{-2x = -34}[/tex]

[tex]\tt{x = \dfrac{34}{2}}[/tex]

[tex]\tt{x = 17}[/tex]

Now, we need UW.

Placing it in any Equation, Let me take (2),

6(17) -35

= 102 - 35

So, 67 is the answer.

Hope it helps :)

What would be the domain for {(-6, 4), (5, -1), (0, 3), (-2, 4)}

Answers

Answer:

-6, 5, 0, and -2

Step-by-step explanation:

The domain values are the x-values in a coordinate pair. Therefore, the domains would be -6, 5, 0, and -2.

I hope this helped you!

What is the slope of the line graphed above?

Answers

Answer:

C. -1/2

Step-by-step explanation:

(-2,2)

(0,1)

(2,0)

Change in y = -1

Change in x = 2

Equation: y = -1/2x + 1

The slope of the line is [tex]-\frac{1}{2}[/tex].

Option C is correct.

Slope of line:

The slope of the line is the ratio of the rise to the run, or rise divided by the run.

From given figure it is observe that line passes through point [tex](2,0)[/tex] and [tex](0, 1).[/tex]

Slope of line , [tex]m=\frac{0-1}{2-0}=-\frac{1}{2}[/tex]

The slope of the line is [tex]-\frac{1}{2}[/tex].

Learn more about the slope of line here:

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Is an imaginary "line" from the Earth to the Moon a line, a ray, or a segment? and WHY?

Answers

Answer:

Segment

Step-by-step explanation:

It is a segment because it has two endpoints (the Earth and Moon). If it was a ray, it would go on forever in one direction. It doesn't, so the imaginary line is a segment.  

The first image is a segment, the second is a ray.

Hope this helps. :)

Answer:

Segment

Step-by-step explanation:

A ray goes on forever a segment has end points

4.
Clare made an error when solving – 4x + 3 < 23.
Describe the error that she made.
- 4x + 3 =23
- 4x < 20

Answers

Step-by-step explanation:

-4x + 3 < 23

-4x < 20

x > -5

hmm,I don't think we need to put equal sign instead of (<) , for when we started calculating.

we can just keep the question as it is and calculate.

The error Clare made in solving the inequality -4x + 3 < 23 is in the last step. The correct solution should be x > -5, not x < -5.

When dividing or multiplying both sides of an inequality by a negative number, the direction of the inequality symbol should be flipped. In this case, since we are dividing by -4, which is negative, the inequality should be reversed.

The correct steps to solve the inequality are as follows:

-4x + 3 < 23

Subtract 3 from both sides:

-4x < 20

Divide both sides by -4 (remembering to flip the inequality symbol):

x > -5

Therefore, the correct solution is x > -5, indicating that x is greater than -5, not less than -5 as Clare mistakenly wrote.

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https://brainly.com/question/28823603

#SPJ6

Clare made an error when solving -4x + 3 < 23

-4x + 3 < 23

-4x < 20

x < - 5

Describe the error she made

Between which two consecutive whole numbers does 17 lie?​

Answers

The two consecutive whole numbers that lies between the square root of 17 is 4 and 5

16=4+3(t-2) fast someone​

Answers

Answer:

6

Step-by-step explanation:

16 = 4+3(t-2)

16 = 4+3t-6

16 - 4 + 6 = 3t

18 = 3t

t = 6

Answer:

t = 6

Step-by-step explanation:

16 = 4 + 3t - 6

16 -4 + 6 = 3t

18 = 3t ; 6 = t

Now, it seems like I can post lol

Multiply: (-12/25) (-10/16)

A. -3/10
B. 3/10
C. 5/6
D. -5/6

Answers

Answer:

b

Step-by-step explanation:

(-12/25) (-10/16) = 0.3

3/10 = 0.3

[tex] - \frac{12}{25} \times - \frac{10}{16} = \frac{3}{5} \times \frac{2}{4} = \\ [/tex]

[tex] \frac{3}{5} \times \frac{1}{2} = \frac{3}{10} \\ [/tex]

Thus B is the correct answer...

♥️♥️♥️♥️♥️

Wha is the product of 12× 1 7/9

Answers

Answer:

Hi friend! the answer is 64/3 or 21.3333333 or 21 1/3

Step-by-step explanation:

Answer:

64/3

Step-by-step explanation:

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Answers

Answer:

See below.

Step-by-step explanation:

g(x) and f(4) refer to different functions.

Since we are not given f(x) is, we cannot answer the question.

Solve for t. 50= − 10 t + 80

Answers

The answer is t= 3 !!!
50= - 10t+80
We move all terms to the left:
50 - ( -10t+80) =0
Get rid of the parentheses
10t - 80+50=0
We add all the numbers together, and all the variables
10+ - 30=0
We move all the terms containing t to the left, all the other terms to the right
10t = 30
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Write an equation of the line that passes through the points (-3,5) and (2,15)​

Answers

Answer:

y = 2x + 11

Step-by-step explanation:

Find Slope

(15 - 5) / (2 - (-3)) = 10/5 = 2

Insert One Ordered Pair and Slope into Point Slope Formula

(y - y1) = m(x - x1)

(2,15) and slope = 2

(y - 15)= 2(x-2)

Evaluate

y -15= 2x-4 → y = 2x + 11

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y = 2x + 11

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Answers

Answer:

KPL= 64 degrees JPL= 116 degrees

Step-by-step explanation:

2x+24+4x+36=180

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Answer:

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Step-by-step explanation:

BRAINLIEST ANSWER! PLEASE HELP!


-2x-10x+12=18
PLEASE EXPLAIN HOW YOU GOT THE ANSWER

Answers

Answer:

x = - 0.5

Step-by-step explanation:

you have to simplify the equation so

[tex] - 2x - 10x + 12 = 18 \\ - 12x + 12 = 18 \\ - 12x = 18 - 12 \\ - 12x = 6 \\ x = \frac{6}{ - 12} \\ x = - 0.5[/tex]

Answer:

X= -1/2 Hope this helps <3

Step-by-step explanation:

Let's solve your equation step-by-step.

−2x−10x+12=18

Step 1: Simplify both sides of the equation.

−2x−10x+12=18

−2x+−10x+12=18

(−2x+−10x)+(12)=18(Combine Like Terms)

−12x+12=18

−12x+12=18

Step 2: Subtract 12 from both sides.

−12x+12−12=18−12

−12x=6

Step 3: Divide both sides by -12.

What are the coordinates of point F (-5, -3) after a 90 degree clockwise rotation about the origin?

Answers

Answer: (-5,3)

Step-by-step explanation:

Answer::-)

There you go

Step-by-step explanation:

It cost $72 for 16 square feet of flooring. How much does it cost for 12 square feet of flooring?​

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Answer: It would cost $54

A cookie recipe for 60 cookies calls for 4 cups of flour. How much flour is needed to make 90 cookies?

Answers

Answer: 6 cups

Step-by-step explanation:

60 cookies = 4 cups

60 + 30 = 90, and half of 60 is 30. So half of 4 cups is 2 cups.

4 cups plus 2 cups is 6 cups!

Answer:

6 cups

Step-by-step explanation:

because if you / the 60 by 4 you would see that 1 cup = 15 cookies. Then add 15 till you get to 90

3x - 5y = 4
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Type the answer in the boxes below. What does x and y =

Answers

Answer: X= 57/4   Y= 31/4

Step-by-step explanation: I assumed and used substitution from the two equations you provided to find the answer. Hope this helped! :)

(2x + 1)2
Factor 2x3 + 4x2 + 2x completely.

(2x + 1)2

O 2x(x2 + 1)
O 2x(x + 1)2

Answers

[tex]2x^3+4x^2+2x\\\\GCF = 2x\\\\2x(\frac{2x^3}{2x}+\frac{4x^2}{2x}+\frac{2x}{2x})\\\\2x(x^2+2x+1)\\\\2x(x^2+2(x)(1)+1^2)\\\\2x(x+1)^2[/tex]

Hope this helps, have a blessed and wonderful day!  

Answer:

C. 2x(x + 1)2

the next one is

Find the roots of the polynomial function f(x) = 2x3 + 4x2 + 2x ?

C. x = 0, x = –1 with multiplicity 2

Step-by-step explanation:

did review on edg2020

A 4 1/2 pound bag of raisins must be divided equally into 1/4 pound portions for a cooking class. Enter the number of 1/4 pound portions that can be made from 4 1/2 pounds of raisins. ​

Answers

Answer:

18

Step-by-step explanation:

1/4 x 4 1/2 = 18

kkduegvdbdgusjbwvsusokwvrgsubevbeksh

-x^2+15x-44
factor the equation

Answers

Answer:

- (x - 4)(x - 11)

Step-by-step explanation:

Given

- x² + 15x - 44 ← factor out - 1 from each term

= - 1 (x² - 15x + 44) ← factor the quadratic

Consider the factors of the constant term (+ 44) which sum to give the coefficient of the x- term ( - 15)

The factors are - 4 and - 11 , since

- 4 × - 11 = + 44 and - 4 - 11 = - 15 , thus

x² - 15x + 44 = (x - 4)(x - 11) and

- x² + 15x - 44 = - (x - 4)(x - 11)

pls pls help!! will mark u as brainliest, i need 5 statements and reasons.

Answers

PL≅YL - Given

∠P≅∠Y - Base Angle Theorem

LA≅AL - Shared Line (sry forgot what it is called)

PLA≅YLA - SAS (Side Angle Side)

hope this helps :)

Rectangle A measures 9 inches by 3 inches. Rectangle B is a scaled copy of Rectangle A.

Answers

Answer:

Stated below:

Step-by-step explanation:

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William has finished 40 of his 50 problems for math homework. What percent of his homework is finished?

Answers

80 percent is finished

1/3p+1/2p+7=7/6p+5+4

Answers

Answer:

p=−6

Step-by-step explanation:

Let's solve your equation step-by-step.

1/3p+1/2p+7=7/6p+5+4

Step 1: Simplify both sides of the equation.

p)+(5+4)(Combine Like Terms)

Step 2: Subtract 7/6p from both sides.

Step 3: Subtract 7 from both sides.

Step 4: Multiply both sides by 3/(-1).

p=−6

Answer:

Step-by-step explanation:

P=6

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