Mathematics College


The age of a man is twice the sum of the ages of his two sons. Ten years ago, his age was five times
the sum of their ages. Find his present age.
a) 40 years
b) 50 years
c) 60 years
d) 70 years​

Answers

Answer 1

Answer:

suppose: the age of the man now is x

the sum of the ages of his two sons now is y

(x, y > 0, x, y € N)

so the age of the man 10 years ago is x - 10

the sum of the ages of his 2 sons ten years ago is

y - 20

because now, The age of a man is twice the sum of the ages of his two sons => x = 2y

because Ten years ago, his age was five times

the sum of their ages

=> x - 10 = 5( y - 20)

<=> x - 10 = 5y - 100

<=> 2x - 20 = 10y - 200

<=> 2x = 2y.5 - 180

but x = 2y => 2x = 5x - 180

<=> 3x = 180

<=> x = 60

=> his present age is 60

Related Questions

Mary, John and Sue are working on a large project. From past experience it is estimated that Mary would require 45 days to complete the project, John would require 50 days, and Sue would require 60 days. If they work together, what would be the estimated number of days required to complete this project?

Answers

About 52 days if u use the averagep

Which of the following are dependent events? Select all that apply.

You draw a marble from a bag, replace it, and draw again.
You flip a coin and roll a number cube.
You draw two numbers from 1 to 10 from a hat without replacing them first.
You randomly choose two socks from a drawer, hoping they will match.

Answers

Answer: all

Step-by-step explanation:

Answer: You randomly choose two socks from a drawer, hoping they will match.

You draw two numbers from 1 to 10 from a hat without replacing them first.

Step-by-step explanation:

dependent events: compound events in which one event affects the likelihood of the other event

independent events:compound events in which one event does not affect the likelihood of the other event

Mark wants to paint a mural He has 1 1/8 gallons of yellow and 7/8 of blue. Mark plans to use 3/4 gallon of each paint color. How many gallons of paint will he have left over after painting the mural?

Answers

Answer:

1/4 gallon of yellow of paint and none of the blue paint

Step-by-step explanation:

Please help me out on this questionnnnn

Answers

Answer:

20 cubic feet.

From feet: length (ft) × width (ft) × height (ft) = cubic feet.

From inches: length (in) × width (in) × height (in) ÷ 1728 = cubic feet.

From yards: length (yd) × width (yd) × height (yd) × 27 = cubic feet.

If you need to convert to cubic feet from inches: divide the final number (i.e. the total you get after multiplying the three dimensions together


Please anyone see if I did this correct let me know the missing number for the bottom part. I upload it

Answers

Answer:

you got it!

Step-by-step explanation:

Answer:

You did do it correct!

For questions 21 and 22 is their a certain way you have to fill in the missing numbers?

I would do...

21. 2 and 5

22. 10 and 10

I am not sure though if there is a correct way to answer those two questions.

Step-by-step explanation:

Jackie correctly solved this equation:
4/x-2+1/x^2-4=1/x+2
Which statement describes the solutions she found?

Answers

Answer:

answer is A

Step-by-step explanation:

took the test :)

The option (A) she found one valid solution and no extraneous solution is correct, and x = -11/3 or -3.66.

What is an expression?

It is defined as the combination of constants and variables with mathematical operators.

We have the equation:

[tex]\rm \dfrac{4}{x-2}+\dfrac{1}{x^2-4}=\dfrac{1}{x+2}[/tex]

After taking LCM

4x + 9 = x - 2

x = -11/3

or

x = -3.66

Thus, option (A) she found one valid solution and no extraneous solution is correct, and x = -11/3 or -3.66.

Learn more about the expression here:

brainly.com/question/14083225

#SPJ2

Solve for the unknown in the following diagram. Round the answer to two decimal places.
cm​

Answers

Answer:

Step-by-step explanation:

1. Exercise 18, section 3.1. Let D be the set of all students at your school and let M(s) be "s is a math major", let C(s) be "s is a computer science major" and let E(s) be "s is an engineering major". Express each of the following statements using quantifiers, variables and the predicates M(s), C(s), E(s). a. Every computer science student is an engineering student b. No computer science students are engineering students c. Some computer science students are also math majors.

Answers

Answer:

∀s ∈ D, C(s) - - - > E(s)

∀s ∈ D, C(s) - - - > ~ E(s)

∃s ∈ D such that M(s) ∧ C(s)

Step-by-step explanation:

D = set of all students

M(s) = s math major

C(s) = s Computer science major

E(s) = s Engineering major

Expressing the following using quantifies variables and predicates :

A.) Every computer science student is an engineering student

∀s ∈ D, C(s) - - - > E(s)

b. No computer science students are engineering students

∀s ∈ D, C(s) - - - > ~ E(s)

c. Some computer science students are also math majors

∃s ∈ D such that M(s) ∧ C(s)

∃s = Existential Domain

∀s = universal

∧ = connective and

~ = not

∈ = belongs to

In ΔTUV, the measure of ∠V=90°, the measure of ∠T=52°, and UV = 7 feet. Find the length of VT to the nearest tenth of a foot.

Answers

Answer:

5.5 feet

Step-by-step explanation:

Answer:

5.5 feet

Step-by-step explanation:

We have VT adjacent to angle T.

We know that VU, side length that is opposite to T, is 7.

We use the TAN function, which is opposite/adjacent, on T :)

tan(52) = 7/x

x tan(52) = 7

x = 7/tan(52) =~ that's around 5.469 --> 5.5 feet

YAS

PLEASE I NEED HELP THIS NEEDS TO GET DONE SOON AND IM STUCK):

Question 2 Multiple Choice Worth 2 points) (06.03) For the expression y + 6 - 3, determine the coefficient for the variable term 1 06​

Answers

Answer:

1

Step-by-step explanation:

whenever there is a varible alone the coefficient is 1

Find the solution of the system of equations. -3x – 2y = 36 3х – 5y = 6​

Answers

Answer:

y = -6

x = -8

Step-by-step explanation:

I hope you can read my handwriting.

Have a wonderful day!

Solve and show work please! Help is appreciated ♥️

Answers

Answer:

16 pi

Step-by-step explanation:

Since 2r is the circumference and the radius is 8, it's 8 x 2 which gives you 16. You don't need to add in the pi since they already gave you at the options.

If you make a batch of cookies and your sister eats 10% of them, what percent remains?

Answers

Answer:

I love cookies

Step-by-step explanation:

Answer:

90%

Step-by-step explanation:

1 batch would be the same as 100%

So, 100%-10%=90%

Hope I helped you!!!!!

Hey umm how do you make your stressed mom feel better?

Answers

Answer:

Help her around the house.

Step-by-step explanation:

If shes like nice sometimes, then go hug her or give her some water.

PLEASE HELP WILL GIVE BRAINLIEST "Find the value of f, correct to two decimal places."

Answers

Answer:

5.93 is the answer....

Hope it helps!!!

• Which graph represents the inequality 3 > 15?

Answers

Answer:

The second one

Step-by-step explanation:

Factorise
3ab + 3a + 2b + 2​

Answers

Answer:

3ab + 3a + 2b + 2

3a(b+1)+2(b+1)

(b+1)(3a+2)

A pool can be filled by one pipe in 8 hours and by a second pipe in 9 hours. How long will it take using both pipes to fill the​ pool?

Answers

Given that it would take 4 hours for first pipe to fill half, and 4.5 hours to fill half with other pipe u would then do 4+4.5=8.5, then 8.5/2=4.25

I will give brainliest. any irrelevant awnsers will be flagged :). pls help.

Answers

Answer:

it is B

Step-by-step explanation:

hope it helps :) have a nice day!

Can u tell me how to do step by step using pemdas please

Answers

Answer:

24

Step-by-step explanation:

PEMDAS is an acronym for the order of operations.

P: Paranthesis

E: Exponents

M: Multiplicating

D: Division

A: Addition

S = Subtraction

(Note that division and multiplication are in the same "stage" and don't take priority over one another.)

10 + 4 / 2 x (5 - 1 + 3)10 + 4 / 2 x 710 + 2 x 710 + 1424

Answer:

Step-by-step explanation:

you want to know the precedence of order.

the P is parenthesis... do those 1st

/ = this is also a divide sign

10 + 4 ÷ 2 x (5 - 1 + 3 )  ( go left to right, as if reading inside parenthesis )

10 + 4 ÷ 2 x (7)    now to multiplication and division going left to right again)

10 + 2 x7    

10 + 14

24

Siobhan makes jewelry to sell online and wants to
charge prices comparable to other similar listings.
What is Siobhan's hourly wage if it takes her
2.5 hours to make each piece of jewelry? Enter your
answer as a whole number, such as: 14.
Cost of supplies
$6.50
Seller fees
12% of selling price
Average price of similar listings
$80
Sales tax
8% of selling price
2.5
6,50

Answers

Answer:

23

Step-by-step explanation:

The length of ZX is 2 units.


What is the perimeter of triangle XYZ?

Answers

Answer:

5+3 square root of 5 units

Need help with radius and diameter pls hurry points and I will give brainlest

Answers

Answer:

the radius is 9 and the diameter is 18

The diagram shows the repairs preformed on two types of cars. Compare the car types using the median or mean.

Answers

Answer:

there is no diagram

Step-by-step explanation:

you will need to edit this question so that way we can see the diagram

Answer:

The median is the same for both car types, but Bandits have the lower mean.

Step-by-step explanation:

I took the Iready quiz and got the question right. Hope this helps!

.nooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo

Answers

Answer: What is this free?

Answer:

yes

Step-by-step explanation:

yes+yes(no-no)

=yes

ill mark brainlist plss help

Answers

it is oxygen no doubt about it

2 more help !!!!!!!!

Answers

12 units thanks have a great day

Kali runs 20 laps around the track each day.Each lap around the track is 400 meters. How many days will it take kali to run a total or 12 kilometers?

Answers

Answer:

Step-by-step Explanation:

Answer:

1 and a half days

Step-by-step explanation:

400 meters x 20 laps = 8000 meters

12 kilometers - 12000 meters

1day- 8000 meters

12000 meters-8000 meters= 4000 meters

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find the square root of 14+6√5​

Answers

Answer:

3 + √5

Step-by-step explanation:

Find the square root of 14+6√5​

Change to √ ( 14 + 6√5 ) = √x + √y

1️⃣ Square.

14 + 6√5 = x + y + 2√xy

14 + 2√45 = ( x + y) + 2√xy

2️⃣ Compare.

(x + y) = 14

xy = 45

3️⃣ Solve.

(x - y)² = (x+y)² - 4xy

( x - y)² = 14² - 180

( x - y)² = 196 - 180

( x - y)² = 16

( x - y) = 4

x + y = 14

x - y = 4

2x = 18

x = 9 .

y = 5 .

14 + 6√5 = √9 + √5 = 3 + √5 .

Answer: 3 + √5 .

Done ✔

The number of siblings a student has and the grades they have in math class.
A.
Positive correlation
B.
Negative correlation
C.
No correlation

Answers

It has no correlation so C.
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