At his birthday party, Mr Green would not directly tell how old he was. He said, "If you add the year of my birth to this year, subtract the year of my tenth birthday and the year of my fiftieth birthday, then add my age, the result is 122". How old is Mr Green

Answers

Answer 1

Answer:

61 years old in the year 2020

Step-by-step explanation:

Let us assume the question was asked in the year 2020, that is this year

Say that Mr. Green was born in year x

The mathematical expression for his statement is given as

[tex]x + 2020 - (x + 10 + x + 50) + (2020 - x) = 122[/tex]

Solve for x

x + 2020 + 2020 - x - x - 60 - x = 122

4040- 122- 2x = 0

3918= 2x

divide both sides by 2

3918/2= x

x=1959

He was born in 1959, so now

he is (2020-1959)

=61 years old.


Related Questions

what do i need to subtract from 83/10 to make 8

Answers

Answer:

0.3

Step-by-step explanation:

Let x be what you need to subtract

[tex]\frac{83}{10} = 8.3[/tex]  Plug x in: 8.3 - x = 8Re-arrange: 8.3 - 8 = x8.3 - 8 = 0.3So, you need to subtract 0.3 from 83/10 to make 8.

I hope this helps!

Answer:

3/10

Step-by-step explanation:

83/10 - 3/10 = 80/10 = 8

PLEASE HELP I WILL GIVE YOU A BRAINLIEST! During a basketball game, Tom attempted 25 shots and made 9. He says he made 40% of the shots he took. Is Tom correct? Explain your reasoning using complete sentences.

Answers

Answer:

Correct I think

Step-by-step explanation:

9 is nearly half of 25. (12.5) Half is equal to 50%. 40 is close to 50 and 9 is close to 12.5. So, he is correct. I think, hope this helps.

PLEASE HELP ASAP!!
what is the range of the graphed function?
A) {x | -2 < x < 2}
B) {y | -2 < y < 2}
C) {x | x is a real number}
D) {y | y is a real number} ​

Answers

Answer:

Since this graph is continuing, y must be any real number. So, d.

Aisha divides 15 meter of ribbon into 2 equal pieces.

What is the length of each piece of ribbon?

Answers

Answer: 7.5 meters

Step-by-step explanation:

7.5 meters each 15/2=7.5

Norman earns $675 per month walking dogs he has to pay 8.5% tax on his income how much tax did he pay

Answers

Answer:

57.375

Step-by-step explanation:

Multiply then move the decimal

Answer:

57.375

Step-by-step explanation:

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 675 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 675 is 100%, so we can write it down as 675=100%.

4. We know, that x is 8.5% of the output value, so we can write it down as x=8.5%.

5. Now we have two simple equations:

1) 675=100%

2) x=8.5%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

675/x=100%/8.5%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 8.5% of 675

675/x=100/8.5

(675/x)*x=(100/8.5)*x       - we multiply both sides of the equation by x

675=11.764705882353*x       - we divide both sides of the equation by (11.764705882353) to get x

675/11.764705882353=x

57.375=x

x=57.375

now we have:

8.5% of 675=57.375

hope it helpsssssss :)

sssssssssssssss

y = 3x - 12x +9
In standard form?

Answers

Answer:

y=-9x+9

Step-by-step explanation:

There are only two like terms in the equation which I have underlined.

y= 3x - 12x +9

To simplify it, you combine the like terms and get your equation in standard form.

Write an equation in standard form.

Answers

Answer:

[1,2]; m = 7

Step-by-step explanation:

Plss see the attachment....

What is the domain of the relation [(x,y):y=x(x-3)/(x+4)(x-7)

Answers

Answer:

i think its b

Step-by-step explanation:

Jonathan decides to go to an arcade  Play some games. He sets a limit of $35 that he will spend 

Answers

Answer:

Hope it will help you

Step-by-step explanation:

Option B

Jonathan can buy 33 games.

What is equation?

The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that, Jonathan decides to go to an arcade to play some games. He sets a limit of $35 that he will spend

Let he can buy x games, then the equation will be,

0.75x+10 = 35

0.75x = 25

x = 100/3 ≈ 33

Hence, Jonathan can buy 33 games.

For more references on equation, click;

https://brainly.com/question/10413253

#SPJ5

Find the missing side lengths leave your answers as radicals

Answers

Answer:

Step-by-step explanation:

n = 20 (because it’s a 45° triangle so two angles are 45° which means two legs are equal)

to find m:

20^2 + 20^2 = m^2

400 + 400 = m^2

800 = m^2

m = square root(800)

m = square root(400)xsquare root(2)

m = 20square root(2)

Please help it’s due tonight and my online teacher don’t help me or teach me please!!! ♥️

Answers

Answer:

x=4

Step-by-step explanation:

A+B=C

A^2+X=C^2

12^2+X=24^2

144+X=576

/144        /144

    x=4

Matea spent $15.00 on protein bars and sports drinks. Each bar cost $3.00 and each sports drink cost $1.50. Which equation represents the number of protein bars, p, and the number of sports drinks, s, Matea could have bought?

A. p+s=15
B. p+s=4.50
C. 1.5p+3s=15
D. 3p+1.5s=15

Answers

Answer:

D

Step-by-step explanation:

The correct equation which represents the number of protein bars, p, and the number of sports drinks, s, Mateo could have bought is,

⇒ 3p + 1.5s = 15

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Matea spent $15.00 on protein bars and sports drinks.

Each bar cost $3.00 and each sports drink cost $1.50.

Now,

Let the number of protein bars = p,

And, the number of sports drinks = s

So, We can formulate;

The correct equation which represents the number of protein bars, p, and the number of sports drinks, s, Mateo could have bought is,

⇒ $3p + $1.5s = $15

⇒ 3p + 1.5s = 15

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

) Encuentra dos números consecutivos cuya suma sea 57.​

Answers

Answer:

k

Step-by-step explanation:

k

a=4, b = 5, A = 16
Solve the Triangle

Answers

Triangle has two solutions: a=4; b=5; c=1.051 and a=4; b=5; c=8.561.

Extra: #1 Obtuse scalene triangle.

Sides: a = 4   b = 5   c = 1.051

Area: T = 0.724

Perimeter: p = 10.051

Semiperimeter: s = 5.026

Angle ∠ A = α = 16° = 0.279 rad

Angle ∠ B = β = 159.846° = 159°50'45″ = 2.79 rad

Angle ∠ C = γ = 4.154° = 4°9'15″ = 0.073 rad

Height: ha = 0.362

Height: hb = 0.29

Height: hc = 1.378

Median: ma = 3.009

Median: mb = 1.517

Median: mc = 4.497

Inradius: r = 0.144

Circumradius: R = 7.256

Vertex coordinates: A[1.051; 0] B[0; 0] C[-3.755; 1.378]

Centroid: CG[-0.901; 0.459]

Coordinates of the circumscribed circle: U[0.526; 7.237]

Coordinates of the inscribed circle: I[0.026; 0.144]

Exterior (or external, outer) angles of the triangle:

∠ A' = α' = 164° = 0.279 rad

∠ B' = β' = 20.154° = 20°9'15″ = 2.79 rad

∠ C' = γ' = 175.846° = 175°50'45″ = 0.073 rad

George set up a display of oval and round pots at his garden store.

He had 16 oval pots.

He had 3 times as many round pots as oval pots.

He found cracks in 4 of the pots, so he set them aside.

George put the rest of the pots in 6 rows, with the same number of pots in each row.
How many pots did George put in each row?

A. 7 pots
B. 8 pots
C. 10 pots
D. 12 pots

Answers

The answer si b I think it's that if it's not sorry

Charlie's art class is 8 hours long. How long is his class in minutes?

Answers

Answer:

480 minutes

Step-by-step explanation:

60 minutes = 1 hr

60 x 8 = 480

480 minutes = 8 hrs

a tv costs 800 plus vat at 20% what is the total cost of the tv

Answers

960. 960. 960. 960. 960. 960.

Sarah earns $9 an hour at a Mort’s Pizza Palace, working 20 hours per week. She spends $3 each week for snacks at work, but saves all her other earnings. How many hours must Sarah work to buy a new phone that costs $150?

Answers

Answer:

15h

Step-by-step explanation:

Answer:

17 hours

Step-by-step explanation:

she needs 150, she spends 3 and she makes 9 per hour

153/9 = 17

12*PLEASE ANSWER FAST!!!!!!!!

Answers

Answer: 1 8/12 - 9/12

Explanation:
answer it 1 8/12 hope it helped

According to the National Center for Health​ Statistics, in​ 1990, 28% of babies in the United States were born to parents who were not married. Throughout the​ 1990s, this increased by approximately 0.6% per year. If this trend​ continues, in which year will 31% of babies be born out of​ wedlock?

Answers

Answer:

The year is  [tex]b = 1995[/tex]

Step-by-step explanation:

From the question we are told that

   The percentage of the number of babies born out of wedlock in 1990 is  k = 28%

    The percentage by which the number increase per year is  i = 0.6%

     The percentage of of the number of babies born out of wedlock considered is  a = 31%

Generally the difference in between the percentage in 1990 and the percentage considered is  

       [tex]d = a - k[/tex]

=>    [tex]d = 31 - 28[/tex]

=>   [tex]d = 3\%[/tex]

Generally the number of year require for the percentage to be equal  to  31%  is mathematically represented as

       [tex]n = \frac{3\%}{0.6\%}[/tex]

=>     [tex]n = 5\ years[/tex]

Generally the year which the considered percentage will be attained is  

    [tex]b = 1990 + n[/tex]

=> [tex]b = 1990 + 5[/tex]

=> [tex]b = 1995[/tex]

The table gives the results of a survey of 1000 people about reducing industries' carbon emissions. Favor Oppose No Opinion TotalDemocrat 320 150 50 520Republican 125 345 10 480Total 445 495 60 1000If the group surveyed represents the people of the United States, what is the probability that a citizen selected at random will favor reducing industries' carbon emissions, given that the person is a Republican? (Enter your probability as a fraction.)

Answers

Answer:

1 / 8

Step-by-step explanation:

Given the data

_____Favor __Oppose__ No Opinion__Total

Demo 320___ 150 ______50 _______ 520

Repub 125___ 345 _____ 10 _________480

Total 445 ___495 ______60 ________ 1000

what is the probability that a citizen selected at random will favor reducing industries' carbon emissions, given that the person is a Republica

From the table provided :

n(favor n republican) / n(Total)

Number of republican who are in favor = 125

Total number of persons = 1000

Hence,

125 / 1000

= 1/8

please help me with math​

Answers

First one is the 3rf

Consider the composite function g(F(x)) = x square root of 6.
If f(x) = 3x2, what is g(x)?


Answers

Answer:

g(x) = √(2x)

Step-by-step explanation:

f(x) = 3x^2

g(f(x)) =√6x

g(3x^2) = x√6

g(x) must be √(2x)

because if we  substitute  x = 3x^2 in this we get

(√2(3x^2))

= √2√3√(x^2)

= √6 x

what is the quotient of -45/-5

Answers

Answer:-9

Step-by-step explanation:

-9

Answer:-45 -5

Step-by-step explanation:

I know that it’s supposed to flip over the y-axis but can someone please give me the points?

Answers

Answer:

Step-by-step explanation:

There are 3 critical points. Place them on the graph and go down (using a ruler and pencil).

-7, -5 trans forms into 7, -5

-4, -2 transforms into 4,-2

4, -4 transforms into -4, -4

A ​15 foot ladder is leaning against a​ building, with the base of the ladder 4 feet from the building. How high up on the building will the top of the ladder​ reach?
The ladder will reach
android:
nothing ft high up on the building.
​(Round to the nearest​ tenth.)
Enter your answer in the answer box and then click Check Answer.
All parts showing

Answers

Answer: The height of the building = 14.5 feet.

Step-by-step explanation:

Given: Length of ladder = 15 feet

Distance of base of ladder from building = 4 feet

Since building is standing vertical on ground making right angle.

So with ladder a right triangle is formed , where base = 4 feet , Hypotenuse = 15 feet [Hypotenuse is side opposite to right angle]

According to the Pythagoras theorem ,

Hypotenuse² = Perpendicular² + Base²

⇒ (15)² =  Perpendicular² +  (4)²

⇒ 225 = Perpendicular² +16

⇒ Perpendicular² = 225 -16

⇒ Perpendicular² = 209

⇒  Perpendicular = √209 = 14.4568322948 ≈ 14.5 feet

Hence, the height of the building = 14.5 feet.

An online auction charges sellers a flat fee of $1.20 and 2% of the amount of the sale. Let A be the amount of the sale in dollars and C be the charge of the online auction. Explain whether the solutions A=−5 and C=1.1 are viable.

The solutions are not viable because the amount charged is not a whole number.

The solutions are viable because the amount of the sale is an integer.

The solutions are viable because the amount charged is positive.

The solutions are not viable because the amount of the sale cannot be negative

Answers

Answer:

The solutions are not viable because the amount of the sale cannot be negative

Step-by-step explanation:

We are told that;

Let A be the amount of the sale in dollars and C be the charge of the online auction

This means that both values of A and B should be non-negative integers.

Now, we are also told that An online auction charges sellers a flat fee of $1.20 and 2% of the amount of the sale.

We can conclude that the solution is not viable because the amount of sale of -1.1 cannot be negative.

What is the value of X? GIVING BRAINLIEST FOR WHO ANSWERS BY 5 MINUTES.

Answers

Answer:

15

Step-by-step explanation:

triangle is isosceles

Angles 1 and 2 are supplementary. Angle 2 measures 50 degrees
MORE THAN angle 1. What is the measure of angle 2?

Answers

Answer: 115 degrees

Step-by-step explanation:

Give me the brainliest plz!

Evaluate the function at the given value

f(x) = 4.753(0.9421)^x

x = 5

Answers

Answer:more info pl

Z

Step-by-step explanation:

Other Questions
I'LL GIVE YOU 20 POINTS AND BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!! Who is the most powerful undertale character What is the x-coordinate of point B? Write a decimal coordinate.(brainliest ) Edge 2020 What was the Schlieffen Plan, and which military forces relied on it? In the winter sport of curling, players give a 20 kg stone a push across a sheet of ice. The Slone moves approximately 40 m before coming to rest. The final position of the stone, in principle, onlyndepends on the initial speed at which it is launched and the force of friction between the ice and the stone, but team members can use brooms to sweep the ice in front of the stone to adjust its speed and trajectory a bit; they must do this without touching the stone. Judicious sweeping can lengthen the travel of the stone by 3 m.1. A curler pushes a stone to a speed of 3.0 m/s over a time of 2.0 s. Ignoring the force of friction, how much force must the curler apply to the stone to bring it op to speed?A. 3.0 NB. 15 NC. 30 N D. 150 N2The sweepers in a curling competition adjust the trajectory of the slope byA. Decreasing the coefficient of friction between the stone and the ice.B. Increasing the coefficient of friction between the stone and the ice.C. Changing friction from kinetic to static.D. Changing friction from static to kinetic.3. Suppose the stone is launched with a speed of 3 m/s and travel s 40 m before coming to rest. What is the approximate magnitude of the friction force on the stone?A. 0 NB. 2 NC. 20 ND. 200 N4. Suppose the stone's mass is increased to 40 kg, but it is launched at the same 3 m/s. Which one of the following is true?A. The stone would now travel a longer distance before coming to rest.B. The stone would now travel a shorter distance before coming to rest.C. The coefficient of friction would now be greater.D. The force of friction would now be greater. In the reaction given below, 23.5 grams of iron(III) oxide (Fe2O3) are reacted with excess carbon. What is the theoretical yield of iron metal?2 Fe2O3 + 3 C --> 4 Fe + 3 CO2If 14.5 grams of iron are recovered when the reaction is complete, what is the percent yield? **Both answer should be written as XX.X A car and a truck leave the same intersection, the truck heading north at 60 mph and the car heading west at 55 mph. At what rate is the distance between the car and the truck changing when the car and the truck are 30 miles and 40 miles from the intersection, respectively? Ramon comprar mas servilletas de papel Ernie Bilko has a business idea. He wants to rent an abandoned gas station for just the months of November and December. He will convert the gas station into a drive-through Christmas wrappingstation. Customers will drive in, drop off their gifts, return the next day, and pick up their wrapped gifts. He needs $332,200 to rent the gas station, purchase wrapping paper, hire workers, andadvertise. If he borrows this amount at 61% Interest for those two months, what size lump sum payment will he have to make to pay off the loan? (Round your answer to the nearest cent.) Geometry please help According to this section, Washington liked to include multiple opinions in his decision making. How does that show he had a fair, open-minded leadership style? Describe the weather phenomenon El Nio and La Nia in your own words. Simplify the expression.4 (-y + 2) 3yA. y 8B. -7y + 2C. -7y + 8D. y + 8SHOW YOUR WORK PLZSSSSSS HAVE YOU HEARD BILLIES SONG???????????? AHHHHHH what are the adjectives in the following text, But you won't appreciate my father's skill if you think flying a kiteany kind of a kiteis just putting a bunch of paper and sticks up into the air. I remember the first time we went to fly a kite. There was nothing like the thrill when my kite first leaped up out of Mother's hands into the air. Then she showed me how to pull and tug and guide the kite into the winds. And when the winds caught the kite, it shot upward. She told me then how the string in my hand was like a leash and the kite was like a hound that I had sent hunting, to flush a sunbeam or a stray phoenix out of the clouds. How many molecules/atoms of excess reactant will remain after the reaction is complete? What is the function of a pollen tube?to lead sperm cells into the ovaryto create more pollento create sperm cellsto lead egg cells to the sperm cells write an equation that represents the line. (-3,-6) and (2,-2) use exact numbers La palabra son es: aguda, grave o esdrujula Helpp me plzzz!! A.) Side - Side - SideB.) Side - Angle - SideC.) Angle - Side - AngleD.) Angle - Angle - SideE.) Hypotenuse - Leg