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

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:

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

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!

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

.nooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo

Answers

Answer: What is this free?

Answer:

yes

Step-by-step explanation:

yes+yes(no-no)

=yes

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:

• Which graph represents the inequality 3 > 15?

Answers

Answer:

The second one

Step-by-step explanation:

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

Factorise
3ab + 3a + 2b + 2​

Answers

Answer:

3ab + 3a + 2b + 2

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

(b+1)(3a+2)

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!!!!!

2 more help !!!!!!!!

Answers

12 units thanks have a great 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.


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:

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 ✔

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!

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

Answers

Answer:

Step-by-step explanation:

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

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!!!

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.

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

8000÷4000=2

1 day and a half

The length of ZX is 2 units.


What is the perimeter of triangle XYZ?

Answers

Answer:

5+3 square root of 5 units

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

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

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

ill mark brainlist plss help

Answers

it is oxygen no doubt about it

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

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 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.

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!

Other Questions
The nervous system is represented by two main components, the central nervous system and the peripheral nervous system. Evaluate which statements about the nervous system are correct. Select all that apply. The brain and the spinal cord are within the central nervous system. B) The brain and the autonomic nervous system are within the central nervous system. o The autonomic and the somatic nervous systems are within the peripheral nervous system. D) The spinal cord and the parasympathetic nervous system are within the peripheral nervous system. The sympathetic and the parasympathetic nervous systems are within the peripheral nervous system. E 0.285714285 nearest thousandth Which statement best describes how the Second Great Awakening differed from the First Great Awakening?A) The first inspired a political revolution while the Second inspired social reform movements B) The first supported the free expression of emotion during worship services; the second did not C) The first urged followers to explore other religions; the second urged discrimination against other religions Muscle tissues are made of specialized unitss called? Joni earns $300 per week. If she gets a 25% raise, how much more money will she earn each week? Please help with this need done urgently The Wilson Student Government sold $ 126 worth of tickets for a talent show in 3 hours. How many tickets did they sell in one hour? PESQUISE E DESCREVA O PORQU O MOVIMENTO desenvolvido pelos planetas ao redor do sol ser chamado de elptico. (5x+5)(2x-3) someone please help Find the inverse for me please what did the court say about our 4th amendment right? !!!!!!!!!!!!PLEASE>>>I DONT WANT TO FAIL!!!!!!!!!!!!!use the documents1) What is the tone of the poem? Explain and cite examples. -The tone of the poem is 2) What does the poet mean figuratively when he says "our fearful trip is done"? What was the prize and why were the people exulting? 3) What does "The vessel grim and daring" mean? 4) Why would the poet refer to the subject of the poem as Captain? Why does the author refer to him as father at one point and place his hand behind his head? 5) What is the theme of the poem? Explain and cite examples. 6) Why do people feel as though they have such close, emotionally extreme relationships with their political leaders? 7) Research information about the poet Walt Whitman a list 3-5 facts about him. Answer and I will give you brainiliest what determines the color of light? 1. brightness 2. wavelength 3. amplitude 4. reflection rate The two columns below give fertility of eggs of the CP strain of Drosophila melanogaster raised in 100 vials of 10 eggs each (data from R.R. Sokal). Find the expected frequencies, assuming that the mortality for each egg in a vial is independent. Use the observed mean. Calculate the expected variance and compare it with the observed variance. Interpret the results, knowing that the eggs of each vial are siblings and that the different vials contain descendant from different parent pairs. Answer: o2 = 2.417; s2 = 6.628. Number of Eggs Hatched Number of Vials f Expected Frequency of vials 0 11 32 8 3 104 65 156 147 128 139 9 10 9 What is the answer to -4(m+6) = -8 Pls help due in 5 minWhat is the total amount of the most common amount and the least common amount of milk drank daily? The cargo of the truck weighs at most 2,900 pounds. Use w to represent the weight (in pounds) of the cargo.The cruising speed of the bullet train will be no less than 160 miles per hour. Use s to represent the train's cruising speed (in miles per hour). In 2012, 31% of all traffic fatalities involved a drunk driver. Suppose a random sample of 400 trafficfatalities is taken. Determine the probability that 132 or fewer of the 400 traffic fatalities involveda drunk driver. Which is a simple sentence?A. The audition for the part of Dracula will begin in jest a few minutes.B. You can wipe up your spill with some paper towels, or you can use a sponge on the counter. PLS HELP I WILL GIVE BRAINLYIST!!!