A father is four times as old as his son. In two years the will have been five times as old as his son was two years ago. How old is the father?

Answers

Answer 1

Answer:

Q13)A man is four times as old as his son. After 20 years, he will be twice as old as his son at that time. Find their present ages. Present age of the father is = 4 x = 4 × 10 = 40 4x=4\times10=40 4x=4×10=40 years.


Related Questions

P. 1. Evaluate the double integral

Answers

The given double integral results [tex]\frac{e^8-1}{4e^8}=0.25[/tex]

Integration

The integrals are the opposite of derivatives. They are used in several applications, like: calculations of areas, volumes and others.

For solving an integration, you should know its rules. For this question will be necessary to apply the following integration rules:

For constant function -  ∫b dx = b ∫ dx= bx+CFor integration by parts - ∫u v dx = uv -∫v duFor exponential function - [tex]\int\ e^x \, dx[/tex] =[tex]e^x+C[/tex]

Changing the order integration

[tex]\int _0^2\int _0^xe^{-2x^2}dydx[/tex]

[tex]\int _0^2xe^{-2x^2}dx[/tex]

[tex]\frac{e^8-1}{4e^8}=0.25[/tex]

The total price of 5 pounds of bananas was $1.95. What was the price per pound?

Answers

Answer:

Well you divide the total of 1.95/5

.39 cent

Answer:

you would need to do 1.95/5 and that equals 39 cents so your answer would be .39

Which expression is equivalent to (2x + 7x*) - (5x² - 4x)?
A
–3x²+11
B
–3x²+3
2x + 11x3 - 5x2
2x5 - 3x) - 5x

Answers

Answer:

5x^2 + 13x

Step-by-step explanation:

) What is the volume of the container?
10 Inches
5 inches
12 inches
>) 27 cubic
60 cubic
inches
120 cubic
inches
600 cubic
inches
inches
shine
>

Answers

Answer:

600in³

Step-by-step explanation:

the equation for volume is:

V=s*3

(s is a varible which means LengthxHeightxWidth)

step 1

V= (10")(5")(12")

then it equals your answer

up above is the answer.

Hope it help you out.

Don't forget to label.

Evaluate the expression when a=-3 and c=5.
6c-a

Answers

Answer:

33

Step-by-step explanation:

We can plug in the values for a and c

[tex]6(5)-(-3)[/tex]

[tex]30-(-3)[/tex]

[tex]=33[/tex]

Therefore, the value of the expression is 33.

#LearnWithBrainly

Answer:

33

Step-by-step explanation:

Given values:

a = -3c = 5

1. Substitute the values in the expression

    [tex]\implies 6c - a[/tex]

    [tex]\implies 6(5) - (-3)[/tex]

2. Simplify the expression

   [tex]\implies 6(5) - (-3)[/tex]

   [tex]\implies 30 - (-3)[/tex]

   [tex]\implies 30 + 3[/tex]

   [tex]\implies 33[/tex]

Suppose that an experiment consists of flipping a coin 3 times and observing the resulting sequence of heads and tails. Find the probability of observing: exactly 3 tails.

Answers

Using the binomial distribution, it is found that there is a 0.125 = 12.5% probability of observing exactly 3 tails.

What is the binomial distribution formula?

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.

In this problem, considering 3 tosses of a fair coin, the parameters are n = 3 and p = 0.5.

The probability of 3 tails is P(X = 3), hence:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 3) = C_{3,3}.(0.5)^{3}.(0.5)^{0} = 0.125[/tex]

0.125 = 12.5% probability of observing exactly 3 tails.

More can be learned about the binomial distribution at https://brainly.com/question/24863377

Simplify the sym or difference 4√2 - 7√2

Answers

Answer: ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ

-3√2

10. You pay $45.50 for 10 gallons of gasoline and 2 quarts of oil at a gas station. Your friend pays $14.75
for 3 gallons of same gasoline and 1 quart of the same oil. Write and solve the system of equation to find
the price of 1 gallon of gas and 1 quart of oil.
I

Answers

Answer:

0=0 (true)

Step-by-step explanation:

You: 10x+2y=45.50

Friend:

5x+y=22.75

*multiply by 2

10x+2y=45.50

now you subtract both equation...

10x+2y-10x-2y=45.50-45.50

0=0

O Points: 0 of 1
A 12-sided die is rolled. The set of equally likely outcomes is {1,2,3,4,5,6,7,8,9,10,11,12). Find the probability of rolling a number greater than 17.
The probability of rolling a number greater than 17 is
(Type an integer or a simplified fraction)

Answers

Answer:

i dont know

Step-by-step explanation:

i do middle school not

highschool or college

How many terms are there in v/3 + 2 x 5

Answers

Answer:1

Step-by-step explanation:

terms are separated by + or - signs

Which of the following best describes the graph below?
-
A It is a function, but it is not one-to-one
B. It is a one-to-one function
C. It is a many-to-one function
D. It is not a function

Answers

Answer:

B. it is a one-to-one function

Step-by-step explanation:

since the line is curving a bit while passing.

Men's Shoe Sizes The shoe sizes of eight different men were used to create the box plot above. Which of the sets of measurements below matches the given box plot? A. Shoe Size: 7, 8, 8, 9, 10, 11, 11, 12 B. Shoe Size: 7, 9, 9, 9, 10, 11, 11, 12 C. Shoe Size: 7, 8, 8, 8, 8, 11, 11, 12 D. Shoe Size: 7, 8, 8, 9, 10, 10, 10, 12

Answers

Answer:

The answer is

A. Shoe Size: 7, 8, 8, 9, 10, 11, 11, 12

Step-by-step explanation:

Hope this helped! :^)

⭐Brainliest will be appreciated!⭐

✉️Message me if you have any more questions!✉️

- ✨7272033Alt

Submitted on 4/16/2022 at 5:38 PM

(To avoid plagarism, by users whom decide to copy.)

2. 28 - 3t = 10
Work out the value of t.

Answers

Answer:

t = 6

Step-by-step explanation:

28 - 3t = 10

-3t = 10 - 28

-3t = -18

t = -18/-3

t = 6

Note: (-)/(-) = +

Answer:

t=6

Step-by-step explanation:

—3t=—18

t=6

PLEASE HELP ME WITH THIS!! ILL GIVE BRAINLIEST

Answers

Answer:

C. (x , y) ----> (y , - x)

hope this helps :)

Each picture shows a figure and its reflection. Which picture shows the line of reflection?

Answers

Answer:

Bottom left

Step-by-step explanation:

The point of reflection is the bottom left one because when reflecting a figure in a line or in a point, the image is congruent to the preimage. A reflection maps every point of a figure to an image across a fixed line. The fixed line is called the line of reflection.

The picture that shows the line of reflection is the image in the bottom left. The correct option is C.

There are four pictures given in the image below A, B, C, and D.

In image A:

The line of reflection goes through the first image and therefore its reflection is not matched.

In image B:

The line of reflection B is available but there is no reflection image present.

In image C:

This picture shows a figure and its reflection.

In image D:

This picture shows a figure but this does not represent its reflection.

Therefore, the correct image is C.

To learn more about the reflection;

https://brainly.com/question/11232423

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I NEED HELP ASAP NO LINKS PLEASE I WILL MARK YOU BRAINLIEST

IF YOU DO NOT KNOW THE ANSWER PLEASE DO NOT EVEN TYPE A SENTENCE UDEE THIS THREAD

Answers

Answer:

354.5

Step-by-step explanation:

The area of a circle is calculated as A = πr².

Answer:

358.36(rounded to nearest hundredth)

Step-by-step explanation:

area of sector =

[tex] \frac{120}{360} \times area \: of \: circle \\ = \frac{120}{360} \times (3.14 \times {18.4}^{2} ) \\ = 354.3594667 \\ = 354.36(nearest \: hundredth)[/tex]

How do you convert x^2+4x+2 in vertex form?
Please explain how you do it.​

Answers

Answer:

(-2,-2)

Step-by-step explanation:

Answer:

f(x)=(x+2)2−3 or  (x−(−2)2−3

Step-by-step explanation:

Vertex form of equation is

f(x)=a(x−h)2+k

Here, we have f(x)=x2+4x+1, hence we have a=1. So for converting to this form, we complete the square using

(x+a)2=x2+2ax+a2 for which we have to identify a and then add and subtract a2. Hence,

A contractor on construction job specified a penalty for delay of completion beyond a certain date as: Rs.200 for the first day, Rs.250 for the second day, Rs300 for the third day and so on. The penalty for each succeeding day being Rs50 more than that of preceding day. How much money the contractor has to pay as penalty, if he has delayed the work by 30 days?


Can someone tell me the answer of this??​

Answers

Answer:

Rs 27750

Step-by-step explanation:

The penalty for each day forms a sequence

200, 250, 300, ...

This is an AP with the first term of 200 and common difference of 50

The sum of the first 30 terms is

[tex]S_{30}=30*(a_1+a_{30})/2=15(200+200+29*50) = 27750[/tex]

Answer :

Refer to the attachment

Additional Information :

Arithmetic progression (A.P.) is a sequence in which each term can be found by adding a certain quantity to its preceding termDifference between two consecutive terms is called common differenceProgression means it's a type of sequence in which each term is related to its predecessor and successor.

How can we use the distributive property to find an expression equivalent to
15(x + 2)? Place the steps in order.
CLEAR

Answers

Answer:

15x+30

Step-by-step explanation:

multiply 15 and x + multiply 15 and 2

15x+30

Jackson is organizing textbooks on his bookshelf. He has an English textbook, a math textbook, and a history textbook. How many different ways can he line the textbooks up on his bookshelf?

Answers

Answer:

6

Step-by-step explanation:

Since this problem is easier, you can just do counting or you can use 3!

Which is 6

without solving what can you tell about the solution to this equation?

Answers

Answer:

A

Step-by-step explanation:

B could be any number, and given that there is no sum, you cannot possibly determine what number B is.

Answer:

A

Step-by-step explanation:

An infinite solution has both sides equal.

In question 1,  the left part is equal to the right part

Louis wants to carpet the rectangular basement. The basement has an area of 874 square feet. The width of the basement is 2/3 it’s length. What is the length?

Answers

Answer:

582.6

Step-by-step explanation:

2/3 x 874 = 582.6

Which of the following functions is equal to f(x)=csc(x-9pi)+2 ? Select 3 answers

Answers

B. f(x) = csc(x - pie ) + 2 = - csc(x) + 2

C. f(x) = - csc(x - 2pie) + 2 = - csc(x) + 2

F. f(x) = - sec(x - 9pie/2 ) + 2 = - sec( x - 4pie - pie/2 ) + 2

= - sec(x - pie/2) + 2 = - csc(x) + 2

. A recipe that serves 6 people calls for 4 cups of milk. How many cups of milk are needed to serve 15 people?

Answers

Answer:

10 cups

Step-by-step explanation:

6 people : 4 cups

15 people : x cups

15/6 = 2.5

4 x 2.5 = 10 cups

Hope this helps :)

(And sorry before, I was a little mixed up)

Answer:

10

Step-by-step explanation

What’s the area of this only answer if you know the answer if its correct I’ll give brainliest

Answers

Answer:

Area is 24 unit ²

Step-by-step explanation:

Given :-

Hypotenuse :- 10unitsBase:- 8unitsHeight:- 6units

To find:-

Area of triangle

Solution:-

We know , The formula for finding area of triangle is 1/2×b×h

putting the known values ,

Area = 1/2 × 8 × 6 unit²

Area = 24 unit²

The function f is defined as follows.
f(x) =5x² +8
If the graph off is translated vertically downward by 5 units, it becomes the graph of a function g.
Find the expression for g(x).

Answers

Answer:

g(x) = 5x² + 3

Step-by-step explanation:

8 units are added directly to each input so just subtract 5 from that to get + 3.

Give the name (monomial, binomial, trinomial etc.) and degree of the polynomial 3x^2 + x^2 +x

Answers

The name of the provided polynomial equation is trinomial and the degree of the polynomial is 2.

What is polynomial?

Polynomial equations is the expression in which the highest power of the unknown variable is n (n is real number).

Types of polynomial equation on the basis of number of terms:

Monomial-Monomial is the polynomial which has only a single term, such as ax, bz.Binomial-Binomial is the polynomial which has only two terms, which are not similar, such as ax+c, bz+d.Trinomial--Trinomial is the polynomial which has only three terms, which are not similar.

The given expression is,

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

The equation has one variable and 3 terms in it. Thus, this a trinomial. The highest power of this expression is 2. Thus, its degree is 2

Hence,  the name of the provided polynomial equation is trinomial and the degree of the polynomial is 2.

Learn more about polynomial here;

https://brainly.com/question/24380382

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The half-life of radon is 385 days. What fraction of a sample with no atoms remains at the end of 77 days?​

Answers

Step-by-step explanation:

calculate the missing angle 'a'

9:57

Answer

Hence in 77 days 107. will decay Remain = 90%

Explanation

Given: half life = 385 half-life

To find: what fraction remains after 22 days

Solution.

Let total amount = 100%.

time taken for decaying Si%. = 385

In time of 72 days = 305 77

= 5

→ Remarwiny = 50 = 10%.

Hence in 72 days 1-7. will decay Remain = 90%.

HELP ME OUT PLS AND HAVE A SHORT ANSWER PLS!!!!!!!

Anthony's sink is shaped like a half-sphere, and it has a volume of 5121 cubic inches. It is completely full of water, and he has two different cylindrical cups he can use to scoop it out. The blue cup has a diameter of 4 in. and a height of 8 in., and the green cup has a diameter of 8 in. and a height of 8 in.. How many cupfuls of water will it take for him to empty his sink using each cup? In your answer, give the number of cupfuls it will take to empty the sink using each cup, and then explain how you calculated it. (NOTE: Type out your work & write out your explanation for full credit.)​

Answers

By taking the quotient between the volumes, we conclude that he must use the blue cup 16 times or the green cup 4 times.

How many times does he need to use each cup?

The volume of the sink is 512π in^3.

The blue cup is a cylinder of diameter = 4 in and a height = of 8 in, then its volume is:

V = π*(4in/2)^2*8in = 32π in^3

The number of times that he needs to use this cup is given by:

N = (512π in^3)/(32π in^3) = 512/32 = 16

He needs to use 16 times the blue cup.

The green cup has a diameter =of 8in and a height = of 8in, then its volume is:

V' =π*(8in/2)^2*8in = 128π in^3

The number of times that he must use this cup is:

N' = (512π in^3/ 128π in^3) = 512/128 = 4

He needs to use 4 times the green cup.

hope it helps

have a good day :)

A new board game comes with a deck of 20 cards: 5 red, 3 blue, 2 orange, and 10 green.
After the deck is shuffled, the player is to choose the top card and note its color, replace
the card, shuffle the deck again, and then choose the top card again and note its color.
What is the probability that both cards selected are blue?

A.3%
B.2.25%
C.9%
D.6.25%

Answers

Answer:

B

Step-by-step explanation:

3/20x3/20=

15/100x15/100

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