A man's age is three times his son's age. Ten years ago, he was five times his son's
age. By forming two equations and solving them simultaneously, find both of their ages.

Answers

Answer 1

Answer:

Step-by-step explanation:

son age be x

Aman age is 3x

ten years ago

son age x-10

aman age 3x -10

A.T.Q

5(x-10) = 3x -10

5x -50 = 3x - 10

2x = 40

x =20

3x=60

son present age =20

aman present age = 60


Related Questions

Jacob followed a recipe that requires 2 cups of water for ever 3 cups of flour. If he
used 8 cups of flour, how many cups of water did he use?
2 2/3
4
5 1/3
12

Thank u SOOOOOOOOOO much if u helped me

Answers

Answer:

he used 5 1/3 everything else is to low or high

Charlie is making chocolate cake for his birthday party. He found a recipe that needs 2 cups of cocoa powder for every 3 cups of sugu. Al of his friends

are coming, so he uses 6 cups of cocoa powder in his cake,

How many cups of sugar should Charlie uso?

Answers

Step-by-step explanation:

the mix follows the ratio 2/3 (cups of cocoa to sugar).

2 × x = 6 cups

x = 6/2 = 3

so, the cocoa cups number is multiplied by the factor 3, and we need to multiply also the sugar cup number with the same factor to keep the ratio value unchanged :

so, we need 3×3 = 9 cups of sugar.

How do you know if a situation represents
a proportional relationship?

Answers

If the relationship between two quantities is a proportional relationship, this relationship can be represented by the graph of a straight line through the origin with a slope equal to the unit rate. For each point (x, y) on the graph, ž is equal to k, where k is the unit rate. The point (1, k) is a point on the graph.

This table gives select values of the differentiable function h.
x -4 -1 0 1 4
h(x) -26 -15 -32 -39 -35
What is the best estimate for h'(-2) we can make based on this table?
Choose 1 answer:
a 11
b 3.67
c -1.13
d -20.5

Answers

B.answers im sorry kung mali po

what is the equation of the trend line in the scatter plot

Answers

Answer: y = -x + 8

When you replace x by 0, you obtain y = 8 and when you replace x by 6, you obtain 2. (the red dots on the graph)

A sink can hold 10 gallons of water.how many quarts of water can the sink hold?

Answers

Answer:

40 quarts

Step-by-step explanation:

one gallon is 4 quarts, so ten gallons would be 40.

4(quarts) x 10(gallons) = 40(number of quarts in the 10 gallons)

4 quarts is in a gallon so just take 4x 10 and its 40 quarts

Solve the equation x=√(2x-4)+2. Show, explain, and check your work.

Answers

Answer:

x = 2, 4

Step-by-step explanation:

Hi there!

x=√(2x-4)+2

Move 2 to the left:

x-2 = √(2x-4)

Square both sides:

x²-4x+4 = 2x-4

Combine like terms:

x²-6x+8 = 0

Factor:

(x-2)(x-4) = 0

Therefore, x = 2, 4.

I hope this helps!

.−3(4x + 3) + 4(6x + 1) = 43
What is the answer?

Answers

Answer:

43

Step-by-step explanation:

DO the math

Five positive integers have
 a mode of 9,
 and a median of 7,
 and a mean of 6.
What is the greatest possible range of the five integers?

Answers

Answer:

5

Step-by-step explanation:

The mean is 6 and there are 5 intergers.

You'd multiply 5*6=30. That means that the sum is 30.

The values could be: 2 3 7 9 9

These values add up to 20

Have a mode of 9

Have a median of 7

Have a mean of 6

To find the range you would subtract 9 and 2. That gives you 5.

(i don't know if that's the greatest possible range. But 5 would be the range here)

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Describe function transformations KT8
What kind of transformation converts the graph of
f(x) = 3x - 9
into the graph
of g(x) =-3x - 9?

Answers

Answer:

The answer is reflection on the y-axis

Step-by-step explanation:

Reflection on the x-axis will change the y-intercept

Horizontal shrink will change the slope but not to the point of making the 3 negative

Horizontal stretch is the same concept

Thus Reflection on the y-axis on the y-axisis the answer

Hope this helps!

Reflecting across the y axis

50 points if you get this right

Answers

Answer:

"A plane does not extend infinitely"

Step-by-step explanation:

A square rug covers 79 square feet of floor. What is the approximate length of one side of the rug? (approximate to the nearest hundredth foot. ) 8. 86 feet 8. 87 feet 8. 88 feet 8. 89 feet.

Answers

Answer:

8.89 feet

Step-by-step explanation:

[tex]\sqrt{79}[/tex] = 8.888, rounded to nearest hundredth would be 8.89

Someone help please?

Answers

Answer:21.9FM

Step-by-step explanation:

(a) 35.8 + 10 need answer

Answers

[tex]⟹35.8 + 10 \\ = 45.8[/tex]

We are gonna add tge whole numbers together 35+10 which is equal 45 then we are going to add to the number tge decimal point and 8 so it’s going to be 45.8

Someone plz help me :(

Answers

Step-by-step explanation:

option A is correct answer

Answer:

Should be C if not then A

Step-by-step explanation:

Write a function g whose graph is a vertical stretch by a factor of 3 of the graph of f(x)=|x|-5. g(x)=

Answers

Answer:

See below

Step-by-step explanation:

A vertical stretch by a factor of 3 of the graph of f(x) will result in:

g(x) = 3 f(x)

This gives us:

g(x) = 3( |x| - 5) = 3|x| - 15

The function g(x) after a vertical stretch by a factor of 3 can be defined as follows:

g(x) = 3(|x| - 5)

To create a function g(x) that is a vertical stretch by a factor of 3 of the graph of f(x) = |x| - 5, you can simply multiply the entire function f(x) by 3.

This will stretch the graph vertically while maintaining the same shape.

Therefore, the function g(x) can be defined as follows:

g(x) = 3(|x| - 5)

This function takes the absolute value of x, subtracts 5, and then multiplies the result by 3, resulting in a vertical stretch of the graph of f(x).

The vertical stretch by a factor of 3 means that the y-coordinates of all points on the graph are multiplied by 3, making the graph taller compared to the original f(x) graph.

Hence the function g(x) after the vertical stretch is g(x) = 3(|x|-5).

Learn more about vertical stretch click;

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Evaluate the expression when a=14 and b=6



−8ab= ?

Answers

Answer:

[tex] - 8ab \\ \\ - 8 \times 14 \times 6 \\ \\ = - 672[/tex]

Answer:

[tex] \\ \tt- 8ab[/tex]

[tex] \\ \tt = - 8 \times 14 \times 6[/tex]

[tex] \\ \tt= - 672[/tex]

The purpose of a budget is to figure out how to use money in a way that best meets your wants and needs. TRUE OR FALSE. Brainly

Answers

The answer is true :)

During a recent rainstorm, 8 centimeters of rain fell in Dubaku's hometown, and 2.362, points, 36 centimeters of rain fell in Elliot's hometown. During the same storm, 15.1915, point, 19 centimeters of snow fell in Alperen's hometown.
How much more rain fell in Dubaku's town than in Elliot's town?
centimeters

Answers

Answer:

Hence, 5.64 centimeters of more rain fell in Dubaku's town than in Elliot's town.

Step-by-step explanation:

The amount of rain that fell in Dubaku's hometown is: 8 centimeters.

Amount of rain that fell in Elliot's hometown is: 2.36 centimeters.

We are asked to find how much more rain fell in Dubaku's town than in Elliot's town so it is calculated as the difference between the rain in both of there towns and is given by:

Difference in rain= 8-2.36

Difference in rain= 5.64 centimeters.

How to find the distance between two points.

Answers

Answer:

you take your small number and multiply it by the big number

Step-by-step explanation:

True or False: If I am a boy and you are a person, what color is the leaf in the winter time on a pole?

Answers

What? hold up my brain hurts! you made me confused!!

Answer:

There are no leaves in the winter except on evergreens and those are green.

Step-by-step explanation:

A 20-foot ladder is placed against a vertical wall of a building, with the bottom of the ladder standing on level ground 6 feet from the base of the building. How high up the wall does the ladder reach?

Answers

Answer:

19.1 feet

Step-by-step explanation:

This forms a right triangle

use the pythagorean theorem

a^2 + b^2 = c^2

a^2 + 6^2 = 20^2

a^2 + 36 = 400

a^2 = 364

a = 19.0787840283

Rounded

19.1 feet

I don’t understand please help

Answers

Answer:

Step-by-step explanation:

Convert the exponential equation to a logarithmic equation using the logarithm base  

( 5 )  of the left side  ( 25 )  equals the exponent  ( 2 ) .   log 5 ( 25 ) = 2

Use the definition of a logarithm,  

log b ( x ) = y  ⟹  b y = x , to convert from the logarithmic form to the exponential form.

32  4/ 5 = 16

for a brainlist pls answer
Find the intercepts of the given equation. To earn full credit, show your work using a method explained in the Orientation.

Answers

Answer:

[tex]x=-2y+10[/tex]

Step-by-step explanation:

Step 1: Flip the equation.

Step 2: Add -5 to both sides.

Step 3: Divide both sides by (-1)/2.

easy one - giving brainly if correct - show work.​

Answers

Answer:

51,000

Step-by-step explanation:

50,000

20% raise is

50,000 + 50,000 * 20/100

= 50,000 + 10,000

= 60,000

15% tax is

60,000 * 15/100

= 9000

so total money is 60000 - 9000

= 51000

a square has a diagonal length of 10 meters. How long is the side of the square?

Answers

Answer:

5 × √2 or 7,071067811865475

Step-by-step explanation:

the diagonal of a square splits the square into 2 right triangles. So we can use Pythagorean's theorem.

where c is the hypotenuse. So the diagonal is the hypotenuse here, and thus c = 10. Now, since we are dealing with a square, all the sides are the same length, so a = b. So we have:

a² + a² = c²

2a² = 100

a² = 50

a = √50

a = 5 × √2 or 7,071067811865475

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

Answer: 50

Step-by-step explanation  :<

4. Claudia works at a sweet shop selling chocolate and caramel-dipped apples. During her shift, she

sells a total of 48 apples, Claudia sells the chocolate-dipped apples for $3 each and the caramel-

dipped apples for $3.25 each. She makes a total of $151. How many of each type of apple did she

make?

Answers

I don’t have a calculation for you I would just do trial and error
But it’s 28 Caramel dipped apples
And it’s 20 Chocolate dipped apples

g(t) = (t-10) (t+1)
1) What are the zeros of the function?

Answers

Step-by-step explanation:

Write properties of function:

x intercept/zero: ; T1= -1 and T2=10

vertex form: g(t)=  (t-9/2)^2, (-121/4)

vertex: 9/2, 121/4

Explanation Write properties of function: Write properties of function:

x intercept/zero: ; t1=-1, and t2=10

vertex form: (t-9/2)^2, (-121/4)

vertex: 9/2, 121/4

hope this helped

How to calculate partiail direvesein boundary integral.

Answers

Answer:

I cant even see anything can you reupload your answer, please?

Step-by-step explanation:

The circumference of a circle is increasing at a rate of pi over 2 m/h at a certain instant the circumference is 12 pi meters what is the rate of change of the area of the circle at that instant in square meters per hour

Answers

Answer: 3pi

Step-by-step explanation:

Guessed and it was right, sorry don’t have an explanation.

The rate of change of the area of the circle at that instant in square meters per hour will be 3π.

What is the rate of change?

The pace at which one quantity changes in relation to another is known as the rate of change function.

Given that the circumference of a circle is increasing at a rate of π / 2 m/h at a certain instant the circumference is 12 π meters.

The rate of change of circumference will be calculated as,

dc/dt = π/2

d (2πr)/ dt = π / 2

dr / dt = 1 / 4

The rate of change in the area,

A = πr²

dA / dt = ( 2πr )  dr / dt

dA/dt = 12π x ( 1 / 4)

dA/dt = 3π

Therefore, the rate of change of the area of the circle at that instant in square meters per hour will be 3π.

To know more about rate of change follow

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