A man is now 3 times as old as his son. In 10 years time, the sum of their ages will be 76.
How old was the man when his son was born?​

Answers

Answer 1

Answer:

28

Step-by-step explanation:

A man is now 3 times as old as his son.

m = 3s

In 10 years time, the sum of their ages will be 76

(m + 10) + (s + 10) = 76

Subsitute for m = 3s

(3s + 10) + (s + 10) = 76

4s + 20 = 76

4s = 56

s = 14

m = 3s = 14 * 3

m = 42

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

How old was the man when his son was born?

m - s = 42 - 14

m - s = 28


Related Questions

Create your proportions using the form to represent the flowing problem seven is what percent of 30?

Answers

Answer:

23.33%

Step-by-step explanation:

Let

x = percentage

Base = 30

Amount = 7

x% of 30 = 7

x/100 * 30 = 7

(x*30) / 100 = 7

30x / 100 = 7

Cross product

30x = 100 * 7

30x = 700

x = 700/30

x = 23.333333333333

Approximately,

x = 23.33%

how many and what type of solutions does 5x^2-2x+6 have

Answers

Answer:

two irrational solutions

Step-by-step explanation:

you can use the quadratic formula:  (b ± √b²- 4ac)÷2a

a = 5, b = -2, c = 6

= [2 ± √(-2²)-4(5)(6)] ÷ 2(5)

= (2 ± √4-120) / 10

two complex solutions:  (2+√-116)/10, (2-√-116)/10

does 3 noncollinear lines always from a triangle?

Answers

Answer:

Three non-co-linear points determine a circle. Three non-co-linear points determine a triangle only if you assume that each pair of these points determines a line which is a side of the triangle. Then, the three points will be the vertices of the triangle.

If you do not have this constraint, so that each line that forms a side of the triangle need pass through only one of the three points, then the three points will not determine a particular triangle

In the diagram below, A ABC DEF
Which sequence of transformations maps A ABC onto A DEF.

Answers

Answer:

basically the opposite

Step-by-step explanation:

its inverted therefore find out how to get c b a and boom

Important: (Worth 50 Points)

The number of adults at an amusement park, measured in hundreds of people, is represented by the function a(w)=−0.4w2+5w+9, where w is the number of weeks since the amusement park opened for the season.

The number of children at the same amusement park, measured in hundreds of people, is represented by the function c(w)=−0.2w2+9w+12, where w is the number of weeks since the amusement park opened for the season.

What function, f(w) , can be used to determine how many more children than adults are at the amusement park any week during the season?


f(w)=−0.2w2+4w+3

f(w)=−0.2w2+4w−3

f(w)=0.2w2+4w+3

f(w)=0.2w2+14w+3

Answers

Answer:

C. f(w) = 0.2w² + 4w + 3

Step-by-step explanation:

The function f(w) is the difference of c(w) and a(w):

f(w) = c(w) - a(w) = − 0.2w² + 9w + 12 - (- 0.4w² + 5w + 9) =− 0.2w² + 9w + 12 + 0.4w² - 5w - 9 =0.2w² + 4w + 3

Correct choice is C

Liam is single. He has no children and an adjusted income of $26,700. Last year, his employer held $172 from each monthly paycheck. He used the standard deduction when filing. Find the amount of income tax due to the IRS or the amount overpaid.

A Liam owes the IRS $91

B The IRS owes Liam $91

C The IRS owes Liam $329

D Liam owes the IRS $329

Answers

Answer:

option B is the correct answer

Step-by-step explanation:

please make me as a brainlist answer

Can y’all help me ASAP please?

Answers

Step-by-step explanation:

[tex]8 log_{5}( {x}^{5} ) = 8 \times 5 log_{5}(x) \\ = 40 log_{5}(x) [/tex]


[tex] \sqrt] a3 - b3[/tex]
what is answer

Answers

Answer:

y=3-b linear function

Step-by-step explanation:

Scarlett can bake 10 cookies with each scoop of flour. Write an equation that shows the relationship between the scoops of flour x and the cookies y. Write your answer as an equation with y first, followed by an equals sign.

Answers

y = 10x

Where y is equal to the amount of cookies and x is the scoops of flour.

5.88 pts
> A statue of George Washington is in Druid Hill Park. Elliot stands 16 ft away from the
statue, and places a mirror 12 ft from the statue (4 ft from his feet). He can see the
top of the statue in the mirror. If Elliot's height is 6 ft. How tall is the statue?
O 2 ft
O 18 ft
0 24 ft
O 8 ft

Answers

Answer:

18 ft

Step-by-step explanation:

Similar triangles are proportional

Ratio of vertical legs  = Ratio of base legs

x/6 = 12/4

multiply both sides by

x = 12/4 * 6

x = 18 ft

Please help with this question.

Answers

Answer:

The value of "h" = 32 unit

Step-by-step explanation:

Given:

In given parallelogram

Height for base 36 = 24

Height for base 27 = h

Find:

The value of "h"

Computation:

Area of parallelogram = Base x Height

For base 36

Area of parallelogram = 36 x 24

Area of parallelogram = 864 unit²

For base 27

Area of parallelogram = 27 x h

864 = 27 x h

The value of "h" = 864 / 27

The value of "h" = 32 unit

4x +y = 10 graph the linear equation​

Answers

Graph not attached, linear equation: y=-4x+10

Solve for x. assume that lines which appear tangent are tangent. x=

Answers

Answer:

x = 8

Step-by-step explanation:

The product of the length of the exterior segment of a secant and the length of the secant is equal to the correpsonding operation with the other secant.

9(9 + 11) = 10(10 + x)

180 = 100 + 10x

10x = 80

x = 8

Give the name (monomial,
binomial, trinomial etc.) and
degree of the polynomial.
15x2

Answers

ANSWER

Step-by-step explanation:

EXAMPLESmonomial:-20ybinomial:-25x+70ytrinomial:-13x+17y+√16Degree of polynomial of 15x^2 is

DEGREE =2

need help with thisss

Answers

9514 1404 393

Answer:

  cos(x) = 0.6

Step-by-step explanation:

First, we need to find UQ.

  UQ = UP·cos(y°) = UP·√(1 -sin²(y°)) = (26 cm)√(1 -25/169) = (26 cm)(12/13)

  UQ = 24 cm

Then TQ is ...

  TQ = 1/3UQ = 1/3(24 cm) = 8 cm

And cos(x°) is ...

  cos(x°) = √(1 -sin²(x)) = √(1 -64/100)

  cos(x°) = 6/10 = 3/5

  cos(x°) = 3/5 = 0.6

A coach writes the batting order of his starting 9 out of the team of 20 on a piece of paper. How many different ways could the list be written?

Answers

Answer:

Total number of orders = 77,520

Step-by-step explanation:

Given:

Number of students on team = 20

Number of students on the starting line =9

Find:

Total number of orders

Computation:

Total number of orders = 20! / [20 - 7]!(7!)

Total number of orders = 20! / [13]!(7!)

Total number of orders = [20 x 19 x 18 x 17 x 16 x 15 x 14] / [7 x 6 x 5 x 4 x 3 x 2 x 1]

Total number of orders = 77,520

The number of different ways that the list can be written will be 167,960.

What are permutation and combination?

A permutation is an act of arranging items or elements in the correct order. Combinations are a way of selecting items or pieces from a group of objects or sets when the order of the components is immaterial.

A coach writes the batting order of his starting 9 out of the team of 20 on a piece of paper.

The number of different ways that the list can be written will be

²⁰C₉ = 20! / [(20 - 9)! x 9!]

²⁰C₉ = 20 x 19 x 18 x 17 x 16 x 15 x 14 x 13 x 12 x 11! / (11! x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1)

²⁰C₉ = 167,960

The number of different ways that the list can be written will be 167,960.

More about the permutation and the combination link is given below.

https://brainly.com/question/11732255

#SPJ2

Darla is painting a mural. She needs to paint a rectangular stripe that measures 1 half yard by 6 yards. Which is the area of the stripe?

Answers

Answer:

3 yards^2

Step-by-step explanation: Area of a rectangle=Length*Width. 6 yards*0.5 yards=3 yards^2

Ли делать операцию на сердце тяжело быть звездой матча в чемпионате страны и в этом году я в шоке с тебя в голове не укладывается в голове и в этом случае можно и нужно ли это было так хорошо начиналось все это не ! :)

Kadeesha has a point card for a movie theater.
She receives 50 rewards points just for signing up she earns 12.5 points for each visit to the movie theater she needs at least 210 points for a free movie ticket right and solve for an inequality the number of visits kadeesha can make to earn her first free movie ticket

Answers

Answer:

50 + 12.5 v ≥ 210

She needs at least 13 visits

Step-by-step explanation:

points for signing up + points per visit* number of visits ≥  210

50 + 12.5 v ≥ 210

Subtract 50 from each side

50 + 12.5 v -50 ≥ 210-50

12.5 v ≥ 160

Divide by 12.5

12.5 v/12.5 ≥ 160/12.5

v ≥ 12.8

She needs at least 13 visits

Answer:

Step-by-step explanation:

which veal represents the functions ?
A. graph A only
B. graph D only
C. graph B and graph D
D. graph C and graph D

Answers

hola quien habla español bueno ya no Adios :)

Answer:

C.(B and D

Step-by-step explanation:

What is the probability of getting 1 red and then blue?

Answers

Answer:

Find the volume of this prism.

Bab isn’t good with quick mafs

Answers

Answer:

153.86

Step-by-step explanation:

Formula area circle = πr²

Solve:

Area = 3.14* 7²

Area = 3.14 * 49

Area = 153.86

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

1 1/5+3 2/5
they both are mixed numers

Answers

Answer:

4 3/5

hope this helps

have a good day :)

Step-by-step explanation:

1+3=4

1/5+2/5=3/5

PLEASE HELP AS SOON AS YOU CAN!!!!

Answers

Answer:

The answer is neptune

Step-by-step explanation:

Beccause -353 is less than -288


The equation of the line that has a slope and passes through the point (-1, -3) is 3x + 2y +3 = 0.

Answers

Answer:

below

Step-by-step explanation:

that is the procedure above

Multiply using suitable properties: 7219 x (-1005)

Answers

-7255095 is the ans in think so

Triangle MNO has vertices M(6,5), N(2,2), and O(7,0). It's image has vertices M'(-6,5), N'(-2,2), and
O'(-7,0). Which line of reflection maps triangle MNO onto its image?
x = 1
y=1
x = 0
.y=0

Answers

Answer:

x=0

Step-by-step explanation:

because the y values are not changing and the x values are only changing from positive to negative.

In August 200920092009, Usain Bolt ran 100100100 meters in 9.589.589, point, 58 seconds (\text{sec})(sec)(, start text, s, e, c, end text, ), setting the world record at that time. There are approximately 1.0941.0941, point, 094 yards (\text{yd})(yd)(, start text, y, d, end text, )in a meter. What was Usain Bolt's average speed in yards per second

Answers

Answer:

Record speed of Usain Bolt in yards per second = 11.42 Yards (Approx.)

Step-by-step explanation:

Given:

Record speed of Usain Bolt = 100 meter in 9.58 second

1 meter = 1.094 yards

Find:

Record speed of Usain Bolt in yards per second

Computation:

Record speed of Usain Bolt = 100 meter in 9.58 second

1 meter = 1.094 yards

100 meter = 1.094 × 100 yards

100 meter = 109.4 yards

Record speed of Usain Bolt in yards per second = 109.4 / 9.58

Record speed of Usain Bolt in yards per second = 11.4196

Record speed of Usain Bolt in yards per second = 11.42 Yards (Approx.)

8 books cost 11.20. Find the cost of 5 books

Answers

First of all we have to find the cost of a book then multiply it by 5 :

$ 11.20 ÷ 8 = $ 1.4

$ 1.4 × 5 = $ 7

Thus 5 books have a cost of $ 7 .

Answer:

The cost of 5 books is $7

Step-by-step explanation:

If there are 8 books and you need to find the cost of 5, you need to first find the cost for one book.

If 8 books cost 11.20.

11.20 ÷ 8 = 1.40

1.40 is the cost of one book

1.40 x 5 = 7

So the cost of 5 books is $7

I tried my best to explain

Please give me the answer and show me how you solved it

Answers

Answer:

Option 1: -8c^8

Step-by-step explanation:

We multiply the numbers by the numbers, then the variables times the variables.

-2 times 4 gives us -8

c^3 times c^5 = c ^8. When multiplying a variable with exponents, you add the exponents.

You only multiply the exponents when it's something like (c^3)^5

why does reflexive property exist

Answers

The reflexive property can be used to justify algebraic manipulations of equations.
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