A man is 32 years older than his son ten year ago he was three times as old as his son was then find the present age of each?

Answers

Answer 1
x-32=y

x-10=3(y-10)=3y-30

X+20=3y

3x-96=3y

Thus, X+20=3x-96, and 2x=116, X=58

Now, 58–32=y, thus, y=26

Related Questions

Nine more than the product of a number and 3 is equal to 6

Answers

Answer:

x = - 3

Step-by-step explanation:

9 more than the product of a number and three is equal 6.

9 +                                   (x · 3)                                = 6

9 + 3x = 6

3x = -9 + 6

3x = - 3

x = - 3

Answer:

3x + 9 =6

Step-by-step explanation:

Justin traveled 70 miles from Boston to Hyannis in 1 hr and 45 minutes. He then traveled 10 more miles from Hyannis to Dennisport in 30 minutes.

What was Justin’s average speed on his was from Hyannis to Dennisport?

What was Justin’s average speed on his trip from Boston to Dennisport?

Answers

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Justin’s average speed on his was from Hyannis to Dennisport will be [tex]20[/tex] miles per hour and average speed on his trip from Boston to Dennisport will be [tex]35\frac{5}{9}[/tex] miles per hour.

What is average speed ?

Average speed is s the total distance traveled by the object in a particular time interval.

Average speed [tex]=\frac{Total\ Distance}{Total\ Time}[/tex]

We have,

Distance from Boston to Hyannis [tex]=70[/tex] miles

Time from Boston to Hyannis [tex]=1\ hr\ and \ 45\ minutes = 105\ minutes[/tex]

Distance from Hyannis to Dennisport [tex]=10[/tex] miles

Time from Hyannis to Dennisport [tex]=30[/tex] minutes

So,

Total distance travelled [tex]=70+10=80[/tex] miles

Total time taken [tex]=105+30=135\ minutes[/tex]

                             [tex]= \frac{135}{60} \ hours= \frac{9}{4}\ hours[/tex]

So,

Average speed on his was from Hyannis to Dennisport [tex]= \frac{10}{\frac{30}{60} }[/tex]

                                                                                            [tex]=\frac{60}{3}=20[/tex] miles per hour

And,

Average speed on his trip from Boston to Dennisport [tex]=\frac{80}{\frac{9}{4} }[/tex]

                                                                                          [tex]=35\frac{5}{9}[/tex] miles per hour

Hence, we can say that Justin’s average speed on his was from Hyannis to Dennisport will be [tex]2[/tex]miles per hour and average speed on his trip from Boston to Dennisport will be [tex]35\frac{5}{9}[/tex] miles per hour.

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In a triangle, the exterior angle is twice of each of the interior opposite angles. The exterior angle is 120°.Find the measure of each interior opposite angle of the triangle.
Pls no Spam. 35 points is the prize

Answers

Answer:

Let X be other interior opposite angle of a △XYZ.

Let Y be the third angle.

Exterior angle is equal to sum of interior opposite angles.

120

o

=30

o

+∠X

⇒∠X=90

o

Now, Sum of interior angles of a triangle is 180

o

⇒90

o

+30

o

+∠Y=180

o

⇒∠Y=180

o

−120

o

=60

o

Step-by-step explanation:

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how many prime numbers are multiples of 8​

Answers

Step-by-step explanation:

four prime numbers..,..,,

Find the GFC of 72 and 64

Answers

Answer:

8

Step-by-step explanation:

GCF of 64 and 72 is 8.

I hope it helps you..

Equations
So I’m having trouble with this pls explain step by step
Here’s the question

W+2=12

Pls explain

Answers

Answer:

w = 10

Step-by-step explanation:

To find the value of w, you need to isolate w on one side.

You can start by subtracting 2 from both sides. What you do to one side of the equation, you have to do to both.

12 - 2 = 10

So now w is isolated and is equal to 10.

w = 10

You can check your work by replacing w with 10 in the equation.

10 + 2 = 12

Kendrick had 2 / 3 of an ice cream cake left. Each piece on the ice cream cake is 1 / 12 of the entire cake. How many pieces are left?

Answers

Answer:

8 pieces

Step-by-step explanation:

2/3 = 1/12c

cross-multiply to get:

3c = 24

c = 8

ROUND OF THE UNDERLINED DIGIT IN EACH DICEMAL NUMBER

1. 25.5678
2.0.8974
3.12.9542​

Answers

Answer:

I think 25.5678

it's the correct answer

Step-by-step explanation:

gamsahamnida

SUBIECTUL I

1. 1p Să se determine primul termen al unei progresii aritmetice (an

)n≥1 știind că rația este

egală cu 5 și suma primilor zece termeni ai progresiei este egală cu 245.
2. 1p Să se determine punctele de intersecție ale graficului funcției
f: R → R, f (x) = x

2 − 7x + 12, cu axele de coordonate.
3. 1p Să se determine numărul real a pentru care vectorii
u⃗ = (a − 2)i + (3a − 1)j și v = 2i +4j sunt coliniari.
4. 1p Să se calculeze ctg x, știind că sin x =
√3
2
, x ∈ (0, 90°
).
5. 1p Să se determine soluțiile reale ale ecuației 49x+2 = 7
x
2+5
.

6. 1p Să se rezolve ecuația : Ax
2+Cx
2 = 0, x∈ N , x≥ 2.

SUBIECTUL II
1 Se consideră matricea A(a) = (

1 0 √a
1 0 1
a 1 1

), unde a ∈ (0, ∞).

a) 0.5p Arătați că det(A(4)) = 1.
b) 0.5p Demonstrați că det(A(a) ∙ A(1) − A(a + 1)) > 0, pentru orice a ∈ (0, ∞).

2. Pe mulțimea de numere reale se definește legea de compoziție asociativă
x ∘ y = √3(xy + 4) − 3(x + y).
a) 0.5p Arătați că √3 ∘ 2 = √3.
b) 0.5pDemonstrați că x ∘ y = √3(x − √3)(y − √3) + √3, pentru orice numere reale x și y.
SUBIECTUL III

1 0.5p Se consideră funcția f: R → R, f(x) = e
2x
(x − 5).

Arătați că f

(x) = e
2x
(2x − 9), x ∈ R .
2. 0.5p Se consideră funcția f: R → R, f(x) =
x
√x
2+1
.

Arătați că ∫ f(x)√x
2 + 1
2
0

dx = 2.

Answers

Answer:

there was a tipikal answers of this question

Un estudiante de Astronomía sabe que Venus le da la vuelta al Sol 225 días y Marte 687 días . Si sabe que la última vez que v s , tierra y Marte se alinearon fue hace 1805645 días , ¿ en cuanto tiempo se volverán a alinear los 3 planetas al mismo punto?

Answers

the student of astronauts u know that

Solve for the missing side length

Answers

Answer:

x = 10

Step-by-step explanation:

Similar right triangles (angle marked congruent).

Same proportion of corresponding sides:

x/15 = 14/21x/15 = 2/3x = 15*2/3x = 10

The area between z = -1.25
And z = 0.32

Answers

Answer:

there a answer I'm not good in math

Geometry ….. solve for x and y

Answers

Answer:

y = 2.4

x = 30°

Step-by-step explanation:

5y = 12

[tex]\frac{5y}{5}[/tex]  = [tex]\frac{12}{5}[/tex]

Cancel both the 5 in numerator and denominator

y = [tex]\frac{12}{5}[/tex]

Divide 12 by 5

y = 2.4

All internal angles of a triangle must add up to 180°. So the angles of the bottom triangle is 60° each. As you can see, there's a right triangle on the right side and a right angle is 90°. So you just have to subtract 90° and 60° to get the angle of the missing angle which is 30°

x = 30°

i don't know how to explain it but i'm sure it's correct. Hope it helps

) Which value is equivalent
[tex] {7}^{3} [/tex]

Answers

Answer:

343

Step-by-step explanation:

[tex]7^{3} = 7 * 7 * 7[/tex]

[tex]7^3 = 343[/tex]

-Chetan K

Need help with this

Answers

Answer:

It CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC

Step-by-step explanation:

nope

right answer only plz and thank u

Answers

Answer:

[tex](x-1)^2(x+3)[/tex]

Step-by-step explanation:

For factorization the given expression you can use the Ruffini's rule.

First find the divisors of the independent term (these are the possible rational roots), in the given polynomial the independent term is [tex]3[/tex].

[tex]3 = \{\pm1,\pm3\}[/tex]

Now replace each number in the polynomial

[tex]P(1) = 1^3 + 1^2 - 5(1) + 3 = 0[/tex]

If the result is equal to 0 that's meaning that is a possible root of the polynomial. Then for know if is a root you have to divide the polynomial by [tex](x - \text{possible root})[/tex].

[tex](x^3 + x^2 -5x+3 )/ (x-1)[/tex]

In the first row are the coefficients of the given polynomial.

In the second row are the product between the coefficients and the independent term of the [tex]x-1[/tex].

The third row are the coefficients of the quotient polynomial (except the last that is the remainder).

[tex]\qquad 1\qquad 1\qquad-5\qquad \quad3\\1\qquad\qquad1\qquad \quad 2\qquad-3\\-------------\\ 0 \ \ \quad1 \qquad 2 \qquad -3 \qquad \quad 0[/tex]

Because the last term is the remainder and it's 0 you can factorizate [tex](x-1)[/tex] and the quotient polynomial is equal to

[tex]x^2 + 2x -3[/tex]

So our current expression is [tex](x-1)(x^2 + 2x -3)[/tex], however you can factorizate the quotient polynomial in:

[tex]x^2 +sx +rx +rs = x^2 + 3x -x + 3(-1) = (x + 3)(x -1)[/tex]

So the last expression is:

[tex](x-1)(x+3)(x-1) = (x-1)^2(x+3)[/tex]

Of the following points name all that lie on the same vertical line (3,-7)(-5,3)(3,-3)(3,-9)

Answers

Answer:

(-3,9)

Step-by-step explanation:

HOPE THIS HELPSSSSSS!!!!

PlEase help you can edit the photo

Answers

Answer:

The ribbon costs 1.25 per meter

Step-by-step explanation:

5/4=1.25

Write an equation for the hangers below and solve (will give brainless if correct!)​

Answers

Answer:

1) 5x+2=17

2) 5(2+x)=17

Step-by-step explanation:

1) subtract 2 from both of the sides, then you get 5x=15. Divide 5 on both sides, then you get X=3

2) Use distributive property and multiply 5 and 2 and you get 10, then do the same thing with the x. You should get 10+5x=17. Subtract 10 from both sides. Then you are left with 5x=17, divide 5 on both sides you should get x=7/5

Hope this helps!

What is the answer I’m so stuck on this one

Answers

your answer is b :)
14/5 x -17/3
=14 x -17
—————
5 x 3
= -238
————-
15
= -15^13
——
15

Answer:

The answer is A

Step-by-step explanation:

The method of substitution is likely the best method for which system?

−8x−2y=18x−2y=5


2x+y=103x+2y=5


5x−2y=32x+2y=1


−3x+2y=93x−5y=4

Answers

Answer:

simultaneous equation

I need some help please?!?

Answers

Answer:

A

Step-by-step explanation:

x = √a/√b

x² = √a²/√b²

x² = a/b

Answer:

Hi there

it should be A.

good

Today only, a table is being sold at a 33% discount. The sale price is 201.
What was the price yesterday?

Answers

Answer:300

Explanation:

Let’s start by considering at what percentage of the the table is at today:

100%-33%=67%

201/67=3 <<<(This shows us how much is 1%)

If this table is as 67% of its original price and 1% is 3 we have to do this:

100*3= 300.

Hence the answer is 300.
Hope this explanation helps!

9.-¿Cuál es el resultado correcto de esta
expresión aritmética: 14 - 8 + 3( -9-6)+ 27 / 9
+ raiz cuadrada 16 - 62

Answers

Answer:

-94

Step-by-step explanation:

14 - 8 + 3(-9 - 6) + 27/9 + √16 - 62 =

= 6 + 3(-15) + 3 + 4 - 62

= 6 - 45 + 7 - 62

= -39 + 7 - 62

= -32 - 62

= -94

Lines r and s are perpendicular and intersect at point k ray kt is drawn forming angles 1 and 2 if angle 1 is 4x-12 and angle 2 equals 3x -8 what is angle 1 to nearest 10th

Answers

The measure of angle 1 to the nearest tenth is 50.9 degrees

Since the line r and s are perpendicular, hence the sum of the angle m<RKT and m<SKT is 90 degrees.

Given the following parameters

m<RKT  = m<1 = 4x - 12

m<SKT = m<2 = 3x - 8

Taking the sum of the angle and equating it to 90degrees, hence;

m<RKT  +m<SKT = 90

4x - 12 + 3x - 8 = 90

7x = 90 + 20

7x = 110

x = 110/7

x = 15.71

Get the measure of angle 1

m<1 = 4x - 12

m<1 = 4(15.71) - 12

m<1 = 50.9 degrees

Hence the measure of angle 1 to the nearest tenth is 50.9 degrees

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How many cups are in 1 liter

Answers

Each liter is equivalent to exactly: 4.22675 cups.

I hope this helps!

plz help!!!!!!!!!!!!!!!!

Answers

Answer:

C = 50°

Step-by-step explanation:

In the given figure, it tells us which angles are the same. ( You can look at the red marks. )

So, 68 + 62 = 130.

As we all know, the sum of all angles in any triangle is 180.

So, 180 - 130 = 50.

That is Angle C.

I hope it helps.

The sum of one fifth of a number and 3 7/10 is 7. Find the number

Answers

Answer:

Step-by-step explanation:

3

7) What symbol should be used to show the relationship of 101.768 101.867 between the numbers?​

Answers

The symbol that can be used to show the relationship of 101.768 -----

101.867 between the numbers is < (less than)

The question is what symbol should be used to show the relationship

between 101.768 and 101.867.

Both numbers are decimal numbers.

101.768  is not equal to 101.867.

Instead,  101.768 is less than 101.867.

Therefore, the symbol that can be used to show the relationship of 101.768 ---

-- 101.867 between the numbers are as follows:

101.768 <  101.867

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ratio 2.5 meters to 60 centimeters can be written jn the form 1:n

Answers

Answer:

1:24/100

Step-by-step explanation:

you divide both side

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