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

PLEASE HELP ME!
What is the Value of X in the solution to this System Of Equations?

5x+2y= 67

X=3y-7

Answers

Please find attached photograph for your answer.

Hope it helps.

Do comment if you have any query.

The value of x is 11.

What are linear equation in two variables?

The equations with one, zero, or an infinite number of solutions are known as linear equations with two variables. Each of the two variables in these equations has the largest exponent order of 1. A two-variable linear equation has the conventional form axe + by + c = 0, where x and y are the two variables. The answers can also be expressed as ordered pairs, such as (x, y). Two straight lines, which could be intersecting, parallel, or coincident, are included in the graphic representation of the system of linear equations in two variables.

Given equations

5x + 2y =  67

x = 3y - 7

substitute the value of x in equation 1

5(3y - 7) + 2y = 67

15y - 35 + 2y = 67

17y = 67 + 35

17y = 102

y = 6

and x = 3y - 7

x = 3(6) - 7

x = 18 - 7

x = 11

Hence value is 11.

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Pls help i only have 20 mins to complete

Answers

Plz post your question now....

For a Brainlist please help me out
+ give accurate explanation

Answers

Answer:

A:Tina's. B: Gabby's

Step-by-step explanation:

Luckly the two people are using the same unit to measure both time (in weeks) and height (in inches), so no conversion needed.

At this point, let's start dealing with the questions.

A. They bought the plants at week 0.

For Tina, we calculate [tex]f(0) = 0+1.5 = 1.5[/tex]

For Gabby, we scout the table till we find week 0 and check the corrisponing value: it's (0; 1) Since 1 is smaller than 0, at start Tina plant was taller.

B. The easiest way would be to stare at Gabby's table for a bit, and notice that each increase is 2 more than the previous, and the progression starts at 1. We can write it as an equation as [tex]g(x) = 2x+1[/tex]. If you confront with Tina's growth, you can tell that Gabby's plant grows twice as fast - the slope is double. Else, you can see that even just after one week, Tina's plant will be 2.5 in tall, while Gabby's outgrew hers already. That's possible only if the plant is growing faster.

The conjugate of (2+i)²/3+i, in the form of a+ib, is
13/2 + i(25/2)
13/10 + i(-15/2)
13/10 +(-9/10)
13/10+(9/10)​

Answers

Given that

(2+i)²/(3+i)

On multiplying both numerator and the denominator with (3-i) then

⇛ [(2+i)²/(3+i)]×[(3-i)/(3-i)]

⇛ [(2+i)²(3-i)]/[(3+i)(3-i)]

⇛ [(2+i)²(3-i)]/[(3²-i²)

⇛ [(2+i)²(3-i)]/(9-i²)

⇛ [(2+i)²(3-i)]/[9-(-1)]

Since ,i² = -1

⇛ [(2+i)²(3-i)]/(9+1)

⇛ [(2+i)²(3-i)]/10

⇛ [{2²+i²+2(2)(i)}(3-i)]/10

⇛ (4+i²+4i)(3-i)/10

⇛ (4-1+4i)(3-i)/10

⇛ (3+4i)(3-i)/10

⇛ (9-3i+12i-4i²)/10

⇛ (9+9i-4(-1))/10

Since, i² = -1

⇛(9+9i+4)/10

⇛(13+9i)/10

⇛ (13/10)+ i (9/10)

We know that

The conjugate of a+ib is a-ib

So,

The conjugate of (13/10)+ i (9/10) is

(13/10)-i(9/10) ⇛ (13/10)+i (-9/10)

Answer:-The conjugate of (13/10)+ i (9/10) is (13/10)+i (-9/10)

Additional comment:

The conjugate of a+ib is a-ib and i = -1(a+b)² = a²+2ab+b² • (a+b)(a-b)=a²-b² •(a-b)²=a²-2ab+b².

Solve the equation: (5y + 2)(y - 3) = -13(2 + y)

Answers

Answer:

2i

Step-by-step explanation:

Distribute:

(5y + 2)(y - 3)

5y^2-15y+2y-6

Which can be simplified into 5y^2-13y-6

Now the equation now looks like this: 5y^2-13y-6=-13(2+y)

For -13(2+y) multiply -13 with 2+y

Which is -26-13y

5y^2-13y-6=-26-13y

Simplify:

5y^2+20

Which can be simplified into 5(y^2+4)

y^2+4=0

y^2=-4

y=2i

Hope this helps!

What is the perimeter of the quadrilateral that is the length of 7 height of 8

Answers

Answer:

30

Step-by-step explanation:

What you need to do is add all the sides when you want to find perimeter so for this one you would want to do 8+8+7+7 and that should give you 30. I hope I could help!!

Answer:

30 units

Step-by-step explanation:

assuming it is a rectangle, there is no information on the shape of the quadrilateral, add all sides.

7 + 8 + 7 + 8 = 30 units

Please help me with this!! - Solve: 5 - 2x < 7

A) x < -1

B) x > -1

C) x < -12

D) x > -12

Answers

Answer:

B

Step-by-step explanation:

B. -1

Flip the 5 over to the other side making it a negative so -2x<-5+7. we the flip the sign because the inequality is a negative so -2x>-5+7. We now have to get rid of the negative 2 by dividing -2 from -5+7. That would give us our answer x>-1

Forty-five more than a number​

Answers

Answer:

n+45

Step-by-step explanation:

Just name "a number" as n or any other variable

Answer:

45 + x

Step-by-step explanation:

Translate the sentence into an Inequality.
The sum of 6 and x is less than or equal to - 20.

Answers

The sum of 6 and x is less than or equal to - 20.

Answer:  (6+x) ≤ -20

What is the slope of the following line, y = -5x+4

Answers

Answer:

the slope is -5x

Step-by-step explanation:

y=mx+b

m= slope

b= y-int

x= vairable

y= answer

Find the measure of the indicated angle.

Answers

Answer:

11) x = 21

12) x = 110

13) x = 85

14) x = 137

Step-by-step explanation:

Hope it helped <3

Which measure of center is most appropriate, and what
is the value of the measure of center?
You are a sports agent's assistant. You are preparing a
report on contracts you have obtained for the agent's
clients. You recently negotiated the following annual
contracts: $2.8 million, $18.9 million, $1.5 million, $1.2
million, $1.5 million, and $3.5 million per year. The
standard deviation of the data is 6.3, and the range is
17.7.
O median; $1.35 million
O mode; $1.5 million
O median; $2.15 million
O mean; $4.9 million
O mean; $5.58 million
Mark this and return
Save and Exit
Next
Submit

Answers

Answer:

Median;$1.35 million

Step-by-step explanation:

You are a sports agent’s assistant. You are preparing a report on contracts you have obtained for the agent’s clients. You recently negotiated the following annual contracts: $2.8 million, $18.9 million, $1.5 million, $1.2 million, $1.5 million, and $3.5 million per year. The standard deviation of the data is 6.3, and the range is 17.7.

Which measure of center is most appropriate, and what is the value of the measure of center?

median; $1.35 million

mode; $1.5 million

median; $2.15 million

mean; $4.9 million

mean; $5.58 million

Answer: 1.35 is wrong.

Step-by-step explanation:

The sum of two consecutive even numbers is 54 find the answer

Answers

Answer:

26, 28

Step-by-step explanation:

2n , 2n + 2

2n + 2n + 2 = 54

4n + 2 = 54

4n = 52

n = 13

2n = 26

2n + 2 = 28

Answer:

26 and 28

Step-by-step explanation:

The sum of two consecutive even numbers is 54 find the answer

(54 - 2) : 2 = 26

26 + 2 = 28

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

check

26 + 28 = 54

"Lin is shopping for a couch with her dad and hears him ask the salesperson, “How much is your commission?” The salesperson says that her commission is 5.5 % of the selling price.
How much commission will the salesperson earn by selling a couch for $495?"

Answers

Answer:

Commission = $24.75

Step-by-step explanation:

Commission = Sale Price × Commission %

Commission = $450 × .055                                   5.5% = as a decimal (.055)

Commission = $24.75

y=-2x + 7
y = 5х – 7
Find the solution

Answers

Answer:

x = 2

Step-by-step explanation:

Given:

y = -2x + 7 y = 5х – 7

If y = -2x + 7 and y = 5х – 7, then -2x + 7 = 5х – 7. Now, let's solve.

=> -2x + 7 = 5х – 7

=> 7x = 14

=> x = 2

Since we found 'x', let's find 'y' with the given clue using one equation among any of the two equations.

=> y = 5х – 7

=> y = 5(2) - 7

=> y = 10 - 7

=> y = 3

Hoped this helped.

Jane bought 8 packs of red bouncy balls, 4 packs of yellow bouncy balls, and 4 packs of green bouncy balls. There were 8 bouncy balls in each package. How many bouncy balls did Jane buy in all?

Answer for 87 points <3

Answers

Answer:

128

Step-by-step explanation:

8×8 = 64

8×4 = 32

8×4 = 32

64 + 32 + 32 = 128

Angela has 3 gallons of milk.how many quarts of milk dose she have

Answers

Answer:

12

Step-by-step explanation:

4 quest make 1 gallon so 4*3=12

What is the estimate for 38? in Estimate roots?

Answers

The square root of 38 rounded up to 5 decimal places is 6.16441.

Hope this help!
It has to be 40 step by step


Three numbers are in the ratio 3.5 7. If the largest number is multiplied by 3, the result is 26 more than the sum of the first and second numbers. Use an algebraic
solution to find the numbers

Answers

Answer:

6,10,14

Step-by-step explanation:

PLEASE HELP ME WILL GIVE BRAINLIEST!!!!!
How do you graph the solution set to a system of linear inequalities in two variables (pretend you are the teacher and you are teaching me how to graph it)?

Answers

Answer:

Graph both of the line inequalities on the same coordinate graph, and then the overlap will be your answer.

Step-by-step explanation:

An example is attached! The purple-ish on the right would be your solution set.

I rlly need help it’s due tmrw

Answers

Answer:

3.Top: |-80| + |50| = 80 + 50 = 130m

Bottom: same as top

Left: |50| + |-20| = 50 + 20 = 70m

Right: same as left

4.

130m+130m+70m+70m=400m

The perimeter is 400 meters

George bought 2.45 pounds of tofu and 1.62 pounds of fish. How many more pounds of tofu did he buy than fish.

Answers

Answer:

0.83 pounds

Step-by-step explanation:

2.45 take away 1.62

With an 18% discount, Joah was able to save $13.23 when buying a coat.
What was THE original price?

Answers

Answer:

The original price of the coat is $ 73.5Step-by-step explanation:Let x be the original price( in dollars ) of the coat.

Step-by-step explanation:

Find x: 7=3(5+x)
Please show your work

Answers

Answer: x = -(8/3)

Step-by-step explanation:

7=3(5+x)

7=15+3x

3x = -8

x = -(8/3)

what is the y-intercept of the function, represented by the table of values below

Answers

Answer:

D

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope- formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 15) and (x₂, y₂ ) = (1, 6) ← 2 ordered pairs from the table

m = [tex]\frac{6-15}{1-(-2)}[/tex] = [tex]\frac{-9}{1+2}[/tex] = [tex]\frac{-9}{3}[/tex] = - 3 , then

y = - 3x + c ← is the partial equation

To find c substitute any ordered pair from the table into the partial equation

Using (2, - 3 ) , then

- 3 = - 6 + c ⇒ c = - 3 + 6 = 3

The y- intercept c = 3 → D

If you type 30 words per minute, what is the words per minute ratio?

Answers

Answer:

30:1

Step-by-step explanation:

If you type 30 words every minute, it would be 30 words to 1 minute, which is 30 words : 1 minute, 30:1.

man to be honest there is a girl i really like should i tell her how i feel

Answers

Answer:

I think if you haven't hung out with her a lot, you should start hanging out with her, getting along, until you have built up courage to tell her you have feelings for her.

Yesss but be smooth with it though.

A square based pyramid is 70.56N the pyramid exerts a pressure of 4900N/m2 on the table.
Work out the volume of the square based pyramid in cm.
Your must show your working.

Answers

Answer:

[tex]{ \tt{pressure = \frac{force}{volume} }} \\ \\ { \tt{4900 = \frac{70.56}{v} }} \\ \\ { \tt{v = \frac{70.56}{4900} }} \\ \\ { \tt{ \underline{ \: v = 0.0144 \: {m}^{3} \: }}}[/tex]

A group of 40 people goes to a football game. Each ticket to the game costs $55. Each person pays $8 for transportation to and from the game. What is the total cost for the 40 people to go to the game?

Answers

(40x55) +(40x8)
2200 + 320
$2520

Katrina is solving the equation -2(x+3)= 4(2x+3)-(x+4). Which equivalent equations might Katrina use? Check all that apply. Ox-2x-6=8x+12-x-4 O x-2x+6= 8x+ 12- X+4 Ox-2x-6-8x+12-X+4 O x-2x+3 = 8x+3 - X+4 0-x-6-7x+8 O-x+6=7x+16 0-x-6-7x+16 O-X+3 = 7x+7​

Answers

Step-by-step explanation:

-2x-6=8x+ 12-x-4

x-2x-6=8x+12-4

-2x - 6 = 7x + 8 or -9x - 6 = 8 are the equivalent equation.

What is expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

To solve the equation -2(x+3)= 4(2x+3)-(x+4), Katrina can use equivalent equations obtained by simplifying each side of the equation using the distributive property, combining like terms, and solving for x.

One possible equivalent equation is:

[tex]-2(x+3)= 4(2x+3)-(x+4)\\-2x - 6 = 8x + 12 - x - 4 \\-2x - 6 = 7x + 8[/tex]

Another possible equivalent equation is:

[tex]-2(x+3)= 4(2x+3)-(x+4)\\-2x - 6 = 8x + 12 - x - 4\\ -2x - 6 = 7x + 8\\-9x - 6 = 8\\-9x = 14 \\x = -14/9\\[/tex]

Therefore, the equivalent equations that Katrina can use to solve the original equation are:

-2x - 6 = 7x + 8 or -9x - 6 = 8

Learn more about expression here:

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