a man is 18 years older than his son. 3 years ago he was 4 times as old as his son how old is the man now​

Answers

Answer 1

Answer:

The man is 27 years old.

Step-by-step explanation:

You can create a system of equations.
Let x = the age of the man
Let y = the age of his son
You can create the following equations based on what was given in the problem:
1. x = y + 18
2. (x - 3) = 4(y - 3)
You can simplify the second equation:
x - 3 = 4y - 12
x = 4y - 9
Then, solve the system of equations:
x = y + 18
-
x = 4y - 9
____________
0 = -3x + 27
The son's age is 9, therefore the father is 27 years old.


Related Questions

Triangle A B C is cut by line segment S T. Line segment S T goes from side A B to side C B. Lines S T and A C are parallel. The length of S B is 10 feet, the length of B T is 9 feet, and the length of C T is 2.7 feet.
What is the length of Line segment S A?

1.89 ft
2.43 ft
3 ft
7 ft

Answers

In the triangle ABC, the length of the line segment SA=3 ft ( 3rd option).

In triangle ABC,

SB=10ftBT=9ftCT=2.7ft &ST|| AB

According to the triangle proportionality theory, we know that if a triangle has a line segment parallel to one of its sides, the line segment splits the other sides correspondingly.

Hence,

SA/SB=CT/BT

⇒SA/10=2.7/9

⇒SA=(2.7*10)/9

⇒SA=3

So, the length of SA is 3 ft.

Therefore the 3rd option is correct.

Learn more about the triangle proportionality theory

https://brainly.com/question/11807262?referrer=searchResults

#SPJ10

What is the area of this trapezoid?

340 cm²

427.5 cm²

440 cm²

487.5 cm²

Answers

Answer:

440cm²

Step-by-step explanation:

*Area= (a+b)/2×h

(19+25)/2*20

= _ * 440cm². *_

Answer:

440cm²

Step-by-step explanation:

I believe its right

please helpp (15 points)

Answers

We have:

vertex = (-1, 16)vertical intercept =  (0, 14)x-intercepts = (-3,83, 0), (.1,83, 0).

How to find the vertex of the parabola?

For a parabola like:

[tex]y = a*x^2 + b*x + c[/tex]

The vertex is at:

[tex]x = -b/2a[/tex]

In this case, we have:

[tex]y = -2x^2 -4x + 14[/tex]

So the vertex is at:

[tex]x = 4/2*(-2) = -1[/tex]

To get the y-value, we need to evaluate in x = -1.

[tex]y = -2*(-1)^2 - 4*(-1) + 14 = -2 + 4 + 14 = 16[/tex]

So the vertex is (-1, 16)

How to find the y-intercept?

To do that we just evaluate in x = 0.

[tex]y = -2*0^2 -4*0 + 14 = 14[/tex]

The vertical intercept is (0, 14).

How to get the x-intercepts?

Using Bhaskara's formula we get:

[tex]x = \frac{4 \pm \sqrt{(-4)^2 - 4*(-2)*14} }{2*-2} \\\\x = \frac{4 \pm 11.31 }{-4}[/tex]

So the two roots are:

x = (4 + 11.31)/(-4) = -3.83

x = (4 - 11.31)/(-4) = 1.83

If you want to learn more about parabolas:

https://brainly.com/question/4061870

#SPJ1

Katrina drinks 0.5 gallons of water per day. Which expression shows how to find the number of cups of water she drinks in a week?

There are 16 cups in a gallon.

Answers

Answer:

D

Hope this helps!

At a pizza restaurant it costs $4 to make a small pizza that sells for $12, and it costs $6 to make a large pizza that
sells for $15. In one week, the restaurant spent a total of $1100 to make pizzas and sold all of them for $2910. How
many small pizzas were sold?
small pizzas were sold?

Answers

simply just divide there total investment for pizza with the cost for one small pizza 1100/4=275

275 Small pizzas were sold

If a polygon has an area of 25cm and is dilated by a factor of 3, what will be the area of the dilated polygon?

Answers

Answer:

225 cm²

Step-by-step explanation:

dilatation factor = 3 , then

area factor = 3² = 9

the area of the dilated polygon is then 9 times the area of the original so

area of dilated polygon = 9 × 25 = 225 cm²

What are the values of x and y for this equation?
(x+yi)+(8-5i)=4+3i

Answers

Step-by-step explanation:

ATTACHED IS THE SOLUTION. Don't hesitate to ask where you don't understand.

Solve For x

[tex] \large \frak{5x + 15 = 30}[/tex]

Tysm!:)​

Answers

ans : x = 3

5x + 15 = 30
minus 15 on both sides, 5x = 15
then divide both sides by 5 so, x = 3

[tex]\boldsymbol{5x+15=30}[/tex]

Subtract 15 from both sides.

[tex]\boldsymbol{5x=30-15 }[/tex]

Subtract 15 from 30 to get 15.

[tex]\boldsymbol{5x=15 }[/tex]

Divide both sides by 5.

[tex]\boldsymbol{x=\dfrac{15}{5} }[/tex]

Divide 15 by 5 to get 3.

[tex]\boldsymbol{x=3 \ \ \to \ \ \ Answer}[/tex]

Verification

Let x=3.

[tex]\bf{5\times3+15=30 \ \ \to \ \ \ Multiply }[/tex][tex]\bf{15+15=30 \ \ \to \ \ \ Add}[/tex][tex]\bf{30=30 \to \ The \ equality \ is \ fulfilled.}[/tex]

Checked ✅

[tex]\huge \red{\boxed{\green{\boxed{\boldsymbol{\purple{Pisces04}}}}}}[/tex]

Given √b6.
What is the rational exponent form of this expression?
O b1/3
0 b3
O b6
O b3/2

Answers

The rational exponent form of the given expression is . The correct option is the second option b³

Evaluating an expression

From the question, we are to determine the rational exponent form of the given expression

The given expression is

[tex]\sqrt{b^{6} }[/tex]

From one of the laws of indices, we have that

[tex]\sqrt[n]{x^{m} } = x^{\frac{m}{n} }[/tex]

Thus,

[tex]\sqrt{b^{6} } = b^{\frac{6}{2} }[/tex]

= [tex]b^{3}[/tex]

∴√b⁶ =

Hence, the rational exponent form of the given expression is . The correct option is the second option b³

Learn more on Evaluating an expression here: https://brainly.com/question/535578

#SPJ1

My supersonic jet burns 4 gallons of jet fuel in 3 seconds. How many gallons of jet fuel do I need to fly for an hour?

Answers

60 seconds in a minute, but if you divide 60/3, you’ll get 20. So 20*4=80 gallons/min. If you multiply 80*60=4,800 gallons/hr

what is the square root of 36/196
√36/169

Answers

Answer:

The square root of 36/196 is 3/7.

The square root of 36/169 is 6/13.

36/196 is 3/7

36/169 is 6/13

Graph the inequality -1 < y +5x<11

Answers

Answer:

b

Step-by-step explanation:

(picture)⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀​

Answers

Answer:

196

Step-by-step explanation:

70% multiply by 4/5(80%) which is 56%

56% times 350

dawn simplified a power correctly and came up with a value of 64. which could have been the original exponential form of the expression dawn simplified? check all that apply.

Answers

Answer:

below

Step-by-step explanation:

the second option is the only expression that came up with the value of 64

(2^6)

Answer:2,⁶     (–8)²    and  (–2)⁶   hope I helped.        : )

Step-by-step explanation:                                                                                                                                              

hi :)


What is the difference of the polynomials?
(x² + x³ + x² + x) - (x²-x³+x²-x)
© 2x2
O 2x³+2x
O x6 +x²
O 2x5+2x²

Answers

Answer:

2x³ + 2x

Step-by-step explanation:

(x² + x³ + x² + x) - (x² - x³ + x² - x)

= x² + x³ + x² + x - x² + x³ - x² + x

Gathering like terms...

x³ + x³ +x² + x² -x² - x² + x + x

= 2x³ + 2x

The difference of the polynomials is 2(x³+x).

What is a polynomial?

A polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables.

Given are two polynomials (x² + x³ + x² + x) and (x²-x³+x²-x), we need to find the difference,

So,

(x² + x³ + x² + x) - (x²-x³+x²-x)

= x² + x³ + x² + x - x²+x³-x²+x

= 2x²-2x²+x³+x³+x+x

= 2x³+2x

= 2(x³+x)

Hence the difference of the polynomials is 2(x³+x).

Learn more about polynomials click;

https://brainly.com/question/11536910

#SPJ7


What is the solution to x^3+ 4x^2>X+4?
04 O4 O4 < x < -1 or x> 1
Ox<-4 or-1
Thank yoooou!

Answers

The solution of the inequality x³ + 4x² > x + 4 will be -4 < x < -1 or x > 1. Then the correct option is C.

What is inequality?

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The inequality is given below.

x³ + 4x² > x + 4

Then the inequality can be written as

x³ + 4x² – x – 4 > 0

Then the factor will be

x²(x + 4) – 1(x + 4) > 0

       (x² – 1)(x + 4) > 0

(x – 1)(x + 1)(x + 4) > 0

Then the solution will be

x – 1 > 0

     x > 1

x + 1 < 0

    x < -1

x + 4 > 0

     x > -4

Then the correct option is C.

More about the inequality link is given below.

https://brainly.com/question/19491153

#SPJ1

What is the value of x?
(See attached image for details.)



Enter your answer in the box.

x = ...°

Answers

Answer:

x = 55°

Step-by-step explanation:

Hello!

The sum of angles in a triangle is 180°.

To solve for x, we have to subtract the given angles from 180°.

Solve for x180° = ∠1 + ∠2 + ∠x180° = 75° + 50° + x°180° - 75° - 50° = x°55° = x°

The value of x is 55°.

Angle sum property of a triangle

Angle sum property of triangle states that the sum of interior angles of a triangle is 180°.

∠A + ∠B + ∠C = 180°

∠A = ?∠B = 75°∠C = 50°

We need to find the value of ∠A

According to the angle sum property of a triangle

∠A + ∠B + ∠C = 180°

∠A + 75° + 50° = 180°

∠A + 125° = 180°

∠A = 180° - 125°

∠A = 55°

What is the measure of the unknown angle?

image of a two hundred ninety seven degree angle and an unknown angle

60°
63°
64°
70°

Answers

Answer:

63

Step-by-step explanation:

A circle is 360 degrees

So, subtracting 297 from 360, we'd get 63 degrees

63 degrees

The circle will be 360 degrees so
360-297= 63 so that’s our answer

HELPPPPP ITS AN EMERGENCY ITS MY FINAL GRADEEEEE

click on the photo

Answers

Answer:

D

Step-by-step explanation:

2 units right 1 unit down

Good luck

Answer:

(x-2, y+1)

Step-by-step explanation:

G(0, 4) -> G'(-2, 5)

H(2, 4) -> H'(0, 5,)

E(0, 2) -> E'(-2, 3)

F(-1, 2) -> F'(-3, 3)

Which number can each term of the equation be multiplied by to eliminate the fractions before solving?
-3/4m - 1/2 = 2 + 1/4m
2
3
4
5

Answers

Multiply by 4 on both sides

Find the quotient.



2^3 ÷ 5^2

Answers

Answer:

0.32

Step-by-step explanation:

2^3 = 2*2*2 = 8

5^2 = 5*5 = 25

------------------------------

8/25 = 0.32

The answer is because if you see it is 7

can someone please help mee (20 points and i will give brainliest!!!)

Answers

Answer:

a. y-intercept:(0,  -6), x-intercepts: (3, 0) and (-2, 0). vertex: (0.5, -6.25)

b. y-intercept: (0, 6), x-intercepts(3, 0) and (-2, 0). vertex: (0.5, 6.25)

Step-by-step explanation:

a:

 So finding the y-intercept is really easy and is simply when x=0. If you plug in 0 as x it makes [tex]y=(0)^2-0-6[/tex] which simplifies to -6, which is the y-intercept. As for the x-intercepts you can calculate that by using the quadratic equation [tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\[/tex]. In this case a=1, b=-1, c=-6. So plugging those values in you get [tex]x=\frac{-(-1)\pm\sqrt{(-1)^2-4(1)(-6)}}{2(1)}[/tex], which simplifies to [tex]x=\frac{1\pm5}{2}[/tex]. This gives you the x-intercepts 6/2 and -4/2 which are 3 and -2. The vertex can be calculated by manipulating the equation so it's in the form of [tex]y=(x-h)^2+k[/tex] where (h, k) is the vertex of the parabola. This is done by moving c to the other side and then completing the square and the isolating y. So the first step will be

Move c to the other side

[tex]y+6=x^2-x[/tex]

Complete the square by adding (b/2)^2

[tex]y+6+0.25 = x^2-x+0.25[/tex]

Rewrite as square binomial

[tex]y+6.25 = (x-0.5)^2[/tex]

Isolate y

[tex]y=(x-0.50)^2-6.25[/tex]

(h, k) = 0.50, -6.25 which is the vertex

b: To identify the y-intercept you plug in 0 as x which will only leave c which in this case is 6 which is the y-intercept. (0, 6). To identify the x-intercepts you can simplify plug in the values a, b, c into the quadratic equation which was stated in the previous answer. In this case a, b, c = -1, 1, 6. Plugging these values in gives the equation [tex]y=\frac{-(1)\pm\sqrt{1^2-4(-1)(6)}}{2(-1)}[/tex]. which simplifies to [tex]x=\frac{-1\pm5}{-2}[/tex] which gives the values -2 and 3. To find the vertex it's the same process as before

Factor out -1

[tex]y=-(x^2-x-6)[/tex]

Add 6 to both sides (on the left side add -6 since -1 was factored out).

[tex]y-6=-(x^2-x)[/tex]

Complete the square by adding (b/2)^2 to both sides (add -(b/2)^2 to left side since -1 was factored out)

[tex]y-6-0.25 = -(x^2-x+0.25)[/tex]

Rewrite as square binomial

[tex]y-6.25=-(x-0.5)^2[/tex]

Add 6.25 to both sides

[tex]y=(x-0.50)^2+6.25[/tex]

(h, k) = (0.50, 6.25)

When you graph the parabolas you'll notice there just flipped relative to the x-axis. This can be deduced by simply looking at the two equations, since the two equations have the same absolute value coefficients, the signs are just different, and more specifically they're all opposite. If you took the first equation and multiplied the entire right side by -1 you would get the same equation. And since that equation really represents the value of y (since it's equal to y) you're reflecting it across the x-axis.

Answer:

a) y-intercept (0,  -6); x-intercepts (3, 0) and (-2, 0); vertex (0.5, -6.25)

b) y-intercept (0, 6); x-intercepts (3, 0) and (-2, 0); vertex (0.5, 6.25)

Step-by-step explanation:

A(n)______ is a number sentence that shows how two or more expressions are not equal

Answers

Answer:

Inequality is the answer

Answer: Inequality ✅

Step-by-step explanation:

Hii, do you need to know the answer to your question? No problem!

The answer to your question is "inequality".

An inequality is a number sentence that shows how two or more expressions are not equal.

An example of that is [tex]\sf 4x+4\geqslant3x-5[/tex].

So 4x+4 is greater than or equal to 3x-5, but they're not 100% equal (such is the case in equations).

--

Hope that this helped! Best wishes.

--

Help please.. z zzz z Z z z z z z z z z z z z z zz

Answers

Answer:

B

Step-by-step explanation:

look at the graph, it is really easy with such basic numbers involved :

the red dotted line is

y = 2

since the line is dotted (= the points on the line are not included in the solution), the colored area is below the line is

y < 2

the blue line is clearly just a 45° basic line through the origin (0,0), and that means for every point in that line x is equal to y.

y = x

and the line is solid, so the points are included in the solution. the shaded area is above the line, so, we need to use the ">" relation :

y >= x

the required solution is the combination of both, and therefore, B is correct.

3. a 12 inch apple pie is sliced into 9 slices. what is the area of one slice of pie?

Answers

Answer:

4 pi     ( = 12.566  in^2 )

Step-by-step explanation:

TOTAL area =   pi r^2    =    pi (6)^2 = 36 pi   in^2

  divide into 9 pieces    36 pi  / 9 = 4 pi   in ^2

PLs help answer ASAP

Answers

Answer:

The factors of the given equation are:

(11x−8)(11x+2)

Step-by-step explanation:

Since both terms are perfect squares,

Factorize using the difference of squares formula,

[tex]a^{2} -b^{2}[/tex][tex]=(a+b)(a-b)[/tex]

where a=11x−3 and b=5.

=> (11x-3+5)(11x-3-5)

=> (11x+2)(11x−8)

=>[tex](11x-3)^{2}-25[/tex]

Use the binomial theorem [tex](a-b)^{2}=a^{2} +b^{2} -2ab[/tex] to expand[tex](11x-3)^{2}-25[/tex]

=> [tex](11x^{2})+(3)^{2}- 2(11x)(3)-25[/tex]

=>[tex]121x^{2} + 9 - 66x -25[/tex]

=> [tex]121x^{2} -16+ 66x[/tex]

By the splitting method,

=> (11x−8)(11x+2)

The factors of the equation are (11x−8)(11x+2).

Read to know more about Factorization:

https://brainly.com/question/20293447?referrer=searchResults

#SPJ10

sin 30°-cos 30°÷ sin 60°

Answers

Answer:

-1/2

Step-by-step explanation:

sin(30 degrees) = sin (pi/6) = 1/2

cos(30 degrees) = cos (pi/6) = [sqrt(3)]/2]

sin (60 degrees) = sin(pi/3) = [sqrt(3)]/2]

1/2 - [sqrt(3)/2] / [sqrt(3)/2] = -1/2

6.
(06.01 LC)

Choose the correct classification of 4x4 − 4x3 + 10x6. (1 point)

4th degree trinomial

12th degree trinomial

3rd degree trinomial

6th degree trinomial

Answers

the correct classification would be 16

Which algebraic expression represents the phrase “two times the quantity of a number minus 12”?

Answers

Answer:

The algebraic expression which represents the phrase “two times the quantity of a number minus 12” is : 2x- 12

Step-by-step explanation:

Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.

for example :-

3x + 4y – 7,  4x – 10, etc.

These expressions are represented with the help of unknown variables, constants and coefficients. The combination of these three (as terms) is said to be an expression. It is to be noted that, unlike the algebraic equation, an algebraic expression has no sides or equal to sign

let the quantity mentioned in the question be 'x'

therefore according to the statement the algebraic expression which represents the phrase “two times the quantity of a number minus 12” is : 2x- 12 is

⇒2x - 12 (answer)

more on algebraic expression at

https://brainly.com/question/20660076

#SPJ10

Select the correct answer. What is the slope-intercept form of the equation of a line that passes through (5, -4) and has a slope of `3/4`? A. `y = -(3)/(4) x -(1)/(4)` B. `y = 3/4 x +(1)/(4)` C. `y = 3/4 x -(31)/(4)` D. `y = 3/4 x +(31)/(4)`

Answers

-------------------------------------------------------------------------------------------------------------

Answer:  [tex]\textsf{y = 3/4x - 7.75}[/tex]

-------------------------------------------------------------------------------------------------------------

Given:  [tex]\textsf{Passes through (5, -4) with a slope of 3/4}[/tex]

Find:  [tex]\textsf{The equation in slope-intercept form}[/tex]

Solution:  In order to determine the equation we need to first plug the values into the point-slope form, simplify, distribute, and solve for y to get our final result.

Plug in the values

[tex]\textsf{y - y}_1\textsf{ = m(x - x}_1\textsf{)}[/tex][tex]\textsf{y - (-4) = 3/4(x - 5)}[/tex]

Simplify the expression and distribute

[tex]\textsf{y + 4 = 3/4(x - 5)}[/tex][tex]\textsf{y + 4 = (3/4 * x) + (3/4 * -5)}[/tex][tex]\textsf{y + 4 = 3/4x - 3.75}[/tex]

Subtract 4 from both sides

[tex]\textsf{y + 4 - 4 = 3/4x - 3.75 - 4}[/tex][tex]\textsf{y = 3/4x - 3.75 - 4}[/tex][tex]\textsf{y = 3/4x - 7.75}[/tex]

The equation in slope-intercept form that follows the information that was provided is y = 3/4x - 7.75

Other Questions
In the opposite figure, the work done by the force F to push the box upwards from the ground to the top of the inclined plane is .......... a) 300 J c) 600 J (b) 450 J d) 750 J F=100 N CamScanner Wa 3m In the opposite figure , the work done by the force F to push the box upwards from the ground to the top of the inclined plane is .......... a ) 300 J c ) 600 J ( b ) 450 J d ) 750 J F = 100 N CamScanner Wa 3m Market owner Lucy buys 12 cans of baby formula off of Mark--Lucy plans to sell them in her market even though she knows (or should have known) Mark got the cans of formula by illegal means. Lucy has committed the crime of: Pls I need help with my homework !!!!!!! Research Windsor Castle. Wholives there and what is it like?Can you find it on a map? Write 3x^2+12x+20 in the form a(x+b)^2+c Section B, Q5 please answer, it is urgent On a number line, 6.3 would be located ______. Choose all answers that make a true statement. 6.3--|----|----|----|----|----|----|----|----|----|--A. between 6.2 and 6.4B. to the left of 6.42C. to the right of 6.45D. to the right of 6.5 In an effort to duplicate the stressors involved with working at a large company, researchers go to great effort to ensure that the stressor they use and the laboratory setting they create is similar in all respects (e.g., noise, temperature, room setup) to that of a major multinational corporation. The researchers are attempting to increase: Express the radical using the imaginary unit, i sqrt{-27} Sam wants to measure the height of a tree. She walks 100 feet from the base of the tree and looks up. The angle of elevation from the ground to the top of the tree is 33. How tall is the tree? Round your answer to the nearest hundredth. a car travels along the highway to little rock a steady speed. when it begins it is 280 miles after 4 hours it 100 reaction of cysteine and NaOH rewrite the equation y-8=2 into slope form What are Riverine Islands? Accumulation of blood in the abdominal cavity will most likely cause: Question 2 of 10 Which of these literary devices do all of the poems in the reading use? In retaliation for the boston tea party, the british passed laws to punish the colonists, including increasing taxes. What effect did these measures have on colonists?. What are the coordinates for point b? a. (7, 0) b. (0, 7) c. (0, 8) d. (1, 7) Simplify the following expression.(4x + 7)2 I have a quick geometry question! Thank you! Classify the triangle as acute, right, or obtuse and classify it as equilateral, isosceles, or scalene 97degree