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

At Green Island Farms the annual Turkey Trot is being held. This year’s contestants are Tom Turkey, Gary Gobbler and Donny Drumstick. The turkeys chase little RC cars loaded with feed. The buzzer sounds and the turkeys are off. Gary Gobbler chases his RC car trying to eat that sweet turkey feed for 15 feet before he manages to side swipe the RC car and knock it on its side. All the feed spills out and Gary Gobbler gobbles it down. That silly turkey happily eats his food for 1.75 seconds. A mouse comes out of the hay bale and tries to join Gary Gobbler in his feasting. But Gary Gobbler is scared of mice so when he sees the mouse he freaks out and tears down the racetrack.

Write a similar story for Tom Turkey making sure to include the different segments of the graph.

Answers

Answer:

The company is expected the company will receive

Keith has landscaping bricks that are 0.75 feet long.
Keith put 19 bricks

Answers

Feet long bricks - 0.75

No of bricks she added

is 15

So now we will multi plied

0.75× 19

Se solution 0.75

× 15

________

11 . 25

So the Answer is 11 . 25 is the final

answer

hope this Answer will help you

There are 7 red marbles, 5 blue marbles, and 11 green marbles in a bag. If John randomly pulls a marble from the bag, what is the probability that he selects a blue marble? Give your answer as a decimal to the nearest hundredth.

Answers

Answer:

0.23

Step-by-step explanation:

Two factors of –48 have a difference of 19. The factor with a greater absolute value is positive.

What is the sum of the factors?

Answers

Two factors of –48 have a difference of 19. The factor with a greater absolute value is positive.
What is the sum of the factors?
13

A video game cube has 50 members and is losing 3 members each year a sports club has 15 members and is gaining 2 members each year.After how many years will the clubs have the same amount of members

Answers

Answer: 7 years
Explanation: after 7 years the gaming club will lose 21 members while the sports gains 14 members adding up to 29 people on each team at that time.
Hope this helps!

A tailor earns (12y² + y – 35) pesos for working (3y – 5) hours. How much does he earn per hour?

Answers

Answer:

4y+7

Step-by-step explanation:

(12y² + y – 35)/(3y – 5)

=(3y-5)(4y+7)/(3y-5) (factorization)

=4y + 7

Hope this helped!

The amount that's earned per hour by the tailor will be 4y + 7.

Since the tailor earns (12y² + y – 35) pesos for working (3y – 5) hours, then the number of hours that the tailor used working will simply be gotten through the division of the values that are given to the question. This will be:

= Amount earned / Total number of hours used

= (12y² + y – 35) / (3y – 5)

= 4y + 7

The amount earned per hour is 4y + 7.

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https://brainly.com/question/18736693

subtract these polynomials. (3x^22+2x+4)-(x^2+2x+1)

Answers

Answer:

3x^22−x^2+3

Step-by-step explanation:

Let's simplify step-by-step.

3x^22+2x+4−(x2+2x+1)

Distribute the Negative Sign:

=3x^22+2x+4+−1(x2+2x+1)

=3x^22+2x+4+−1x2+−1(2x)+(−1)(1)

=3x&22+2x+4+−x2+−2x+−1

Combine Like Terms:

=3x22+2x+4+−x2+−2x+−1

=(3x22)+(−x2)+(2x+−2x)+(4+−1)

=3x22+−x2+3

Answer:

=3x22−x2+3

Answer:3x^22−x^2+3

Step-by-step explanation:


Which of the following statements best describes the difference between net income and gross profit?
A.Gross profit considers operating expenses while net income does not.
B.Net income considers operating expenses while gross profit does not.
C.Gross profit deducts taxes while net income does not.
d. Net income deducts taxes while gross profit does not.

Answers

Answer:

d. Net income deducts taxes while gross profit does not.

1. At a computer manufacturing company, the actual size of a computer chip is normally distributed with a mean of 1 cm and a standard deviation of 0.1 cm. A random sample of 12 computer chips is taken. What is the standard error for the sample mean?2. At a computer manufacturing company, the actual size of computer chips is normally distributed with a mean of 1 cm and a standard deviation of 0.1 cm. A random sample of 12 computer chips is taken. What is the probability that the sample mean will be between 0.99 and 1.01 cm?3. At a computer manufacturing company, the actual size of computer chips is normally distributed with a mean of 1 cm and a standard deviation of 0.1 cm. A random sample of 12 computer chips is taken. What is the probability that the sample mean will be below 0.95 cm?4. At a computer manufacturing company, the actual size of computer chips is normally distributed with a mean of 1 cm and a standard deviation of 0.1 cm. A random sample of 12 computer chips is taken. Above what value do 2.5% of the sample means fall?

Answers

Answer:

The 4 answers are given below:

0.1cm,  0.1 probability,  0.25 probability,  1.095cm

Step-by-step explanation:

QUESTION HEAD: At a computer manufacturing company, the actual size of a computer chip is normally distributed with a mean of 1cm and standard deviation of 0.1cm. A random sample of 12 computer chips is taken.

(A) What is the standard error for the sample mean?

(B) What is the probability that the sample mean will be between 0.99 and 1.01cm?

(C) What is the probability that the sample mean will be below 0.95cm?

(D) Above what value do 2.5% of the sample means fall?

ANSWERS:

(A) The standard error for the sample mean is 0.1cm

(B) [0.99, 1.01]cm?

The mean length is 1cm and S.E. is 0.1cm, hence all lengths fall into the following range: [0.9 - 1.1]

0.99 - 0.9 = 0.09

1.1 - 1.01 = 0.09

0.09 + 0.09 = 0.18

1.1 - 0.9 = 0.2

0.2 - 0.18 = 0.02  This is the fraction of 0.2 that the length bracket in the question occupies. So 0.02/0.2 = 0.1

Hence the probability that the sample mean will be between 0.99 and 1.01cm is 0.1 (which translates to a 10% probability/chance)

(C) The probability that the sample mean will be below 0.95 is:

0.95 - 0.9 = 0.05

0.05/0.2 = 0.25 (which translates to a 25% chance of occurrence)

(D) Above what value do 2.5% of the sample means fall?

Here, you're looking for the value of the mean which serves as the lower limit for the top 2.5% of sample mean values.

2.5% of 0.2 = 0.025 × 0.2 = 0.005

Subtract this from the highest possible mean value:

1.1 - 0.005 = 1.095

So, above 1.095 is where 2.5% of the sample means fall

Part (A) :

The standard error for the sample mean is 0.1cm

Part (B):

The mean length is 1cm and S.E. is 0.1cm, hence all lengths fall into the following range: [0.9 - 1.1]

0.99 - 0.9 = 0.09 1.1 - 1.01 = 0.09 0.09 + 0.09 = 0.18 1.1 - 0.9 = 0.2 0.2 - 0.18 = 0.02 0.02/0.2 = 0.1

Thus, the probability that the sample mean will be between 0.99 and 1.01cm is 0.1 .

Part (C) :

The probability that the sample mean will be below 0.95 is:

0.95 - 0.9 = 0.05 0.05/0.2 = 0.25  

Thus,the probability that the sample mean will be below 0.95 cm is 0.25.

Part (D) :

The value do 2.5% of the sample means fall in :

2.5% of 0.2 = 0.025 × 0.2 2.5% of 0.2= 0.005

Subtract this from the highest possible mean value:

1.1 - 0.005 = 1.095

Thus, the value of 2.5% of the sample means falls in 1.095.

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y=mx+b
answer fast, please!

Answers

Answer: y = -1x + 3

Step-by-step explanation:

it's going through the y intercept ( 3 )

and down ( negative by 1 )

you can also write the answer as y = -x + 3

either one, its the same.

y=-1x + 3 is the answer

Which is the smallest ratio?

3 to 4, Two-thirds, 10:12, 2 to 1
3 to 4
Two-thirds
10:12
2 to 1

Answers

Answer:

Each ratio can be rewritten as a fraction:

3 to 4 becomes 3/4

2/3 is already a fraction

10:12 becomes 10/12 which can be simplified to 5/6 by dividing both the numerator and the denominator by 2

2 to 1 is 2/1 or 2

2 to 1 is the greatest because it is the only whole number. Comparing the three remaining can be a little more difficult because they have different denominators (the number on the bottom of the fraction).

In order to compare them we can find equivalent(equal) fractions that have a common denominator.

In order to find equivalent fractions we first find the common denominator. Then we multiple the fraction by a unit of one (ex. 2/2, 3/3, 4/4).

3/4 ,2/3, 10/12 12 would be a common denominator because 4 x 3 =12 3 x 4=12 and 12 x 1=12

3 x 3 = 9 3/4=9/12

4 x 3 = 12 2/3=8/12

10/12= 10/12

2 x 4 = 8

3 x 4 =12

Now that they have the same denominator we can see that 8/12 or 2/3 is the smallest fraction.

So, 2/3 is the smallest ratio

Two-thirds is the smallest ratio among 3 to 4, Two-thirds, 10:12, 2 to 1.

What is Ratio?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

The ratios can be written in the form of fractions,

3 to 4 can be written as 3/4

Two thirds can be written as 2/3

10:12 can be written as 10/12 after simplifying we get 5/6

2 to 1 can be written as 2/1

3/4, 2/3, 5/6, 2/1 are the fractions, now we have to find the smallest fraction. This can be done by doing all the fractions with same denominator

3/4×3/3=9/12

2/3×4/4=8/12

5/6×2/2=10/12

2/1×12/12=24/12

In this 8/12 is the smallest fraction so 2/3 is the smallest ratio.

Hence Two-thirds is the smallest ratio among 3 to 4, Two-thirds, 10:12, 2 to 1.

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A movie theater determines its profit, in dollars, using the expression 10n - 1000, where n is the number of tickets sold.
Which inequality shows the minimum number of tickets sold in order to make a profit of at LEAST $5,000?
O A 1400
B. 1 495
OC. n 500
OD, n 505
O E 2 600

Answers

Answer:

E

600

Step-by-step explanation:

10n - 1000 = 5000

10n = 6000

n = 600

HOPE THIS HELPS

PLZZ MARK BRAINLIEST

which of the equations is the correct representation of the following word problem
A student has two grades of 80 and 90. what grade must the students make on the next test to pass the class with a 90 grade average?

(80+90+n)/3=100

(80+90+90)/3=y

(80+90+z)/3z=90

+80+90+x)/3=90​

Answers

Answer: (80+90+z)/3=90

Step-by-step explanation:

Answer:

(80+90+x) /3 =90

Step-by-step explanation:

Number of Green Candies in a Bag A dot plot going from 10 to 15. 10 has 1 dot, 11 has 3 dots, 12 has 1 dot, 13 has 2 dots, 14 has 3 dots, and 15 has 3 dots. The center is .

Answers

Answer:11

Step-by-step explanation:

Look at middle of pot line

Answer:

it iis 13 :) plz mark me brainlyisst

Step-by-step explanation:

calculeaza aria unui triunghi cu baza de 20 cm si inaltimea corespunzatoare ei de 12 cm

Answers

Answer:

Aria unui triunghi =120 cm²  

Step-by-step explanation:

Folosind formula:

Aria unui triunghi = (baza x înălțimea) / 2

                          A=(20x12)/2

                            =240/2 cm²

                            =120 cm²      

Aria unui triunghi =120 cm²    

12 2.25 24 7.5 3 6.75 y 0.75 6 1.5 DRAG AND DROP AN ITEM HERE DRAGAND DROP ANTEN HERE DRAGAN ROP AN ITEM HERE​

Answers

Answer:

0.75

Step-by-step explanation:

BASTA CHAT NYU NA LNG PO AKO  DTO NEED NYU PO NG EXPLANATION

what is the local minimum on a graph

Answers

Answer:

if the function goes from decreasing to increasing,

Step-by-step explanation:

PLSSSS HELPPP I WILLL GIVEEE BRAINLIESTTTT!!!!!!!!!!!!!!!!!
PLSSSS HELPPP I WILLL GIVEEE BRAINLIESTTTT!!!!!!!!!!!!!!!!!
PLSSSS HELPPP I WILLL GIVEEE BRAINLIESTTTT!!!!!!!!!!!!!!!!!
PLSSSS HELPPP I WILLL GIVEEE BRAINLIESTTTT!!!!!!!!!!!!!!!!!

If f(x) = -3x + 4, find f(-4)

Answers

Answer:

Step-by-step explanation:

-3x+4

-3(-4)+4

12+4

16

Answer:

3x+4

3(-4)+4

12+4

16

Step-by-step explanation:

If it took 8 hours to clean 12 houses how many houses could be cleaned in 12 hours

Answers

It takes 8 hours to clean 12 houses so that’s 8/12 to find how many hours it take to clean one house, 8/12 is equal 2/3 . So it takes 2/3 of an hour to clean one house. 2/3 times 12 equals 8. So you want to find how many houses you can clean in 12 hours. The equation is 12= 2/3x , x=18. The answer is 18 houses. Check the work cus I sure didn’t lol, hope this helps

The function f (x) has an average rate of change on the interval -2 < x < 3 of 3.4. If f (-2) = 9 then which of the following is the value of f (3)?

Answers

Answer:

The value of f(3)=12.4

Step-by-step explanation:

Average rate of change = 3.4

Interval: -2 < x < 3

f(-2) = 9

We need to find f(3)

The formula used to calculate Average rate of change is: [tex]Average \ rate \ of \ change=\frac{f(b)-f(a)}{b-a}[/tex]

here we have a=-2 and b=3

Now finding f(3)

[tex]Average \ rate \ of \ change=\frac{f(b)-f(a)}{b-a}\\3.4=\frac{f(3)-f(-2)}{3-2} \\3.4=\frac{f(3)-9}{1}\\3.4=f(3)-9\\f(3)=3.4+9\\f(3)=12.4[/tex]

So, The value of f(3)=12.4

If x = 3 + 2√2, then the value of (x - 1/x) is

a) 4√2
b) 2√4
c) 8

Answers

Your answer is: A. 4/2

Hope this helps and happy holidays!!

Is triangle AXY inscribed in circle A?
yes
no

Answers

Answer:

yes

Step-by-step explanation:

its marked in the center with characters

A population has a mean of 300 and a standard deviation of 18. A sample of 144 observations will be taken. The probability that the sample mean will be between 297 to 303 is

Answers

Answer:

0.8664

Step-by-step explanation:

I hope it helps, and please give me Brainlest!

what is the LCM of 10 and 20​

Answers

20

your welcomeeeeeeeeeeeee

Answer:

20

Step-by-step explanation:

10 = 2 × 5

20 = 2 × 2 × 5

L.C.M = 2 × 2 × 5 = 20

Thus, The LCM 10 and 20 is 20

-TheUnknownScientist

2x + 8y = 22
8x - 8y = 8

Answers

Answer:

(3, 2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Algebra I

Solving systems of equations using substitution/eliminationSolving systems of equations by graphing

Step-by-step explanation:

Step 1: Define systems

2x + 8y = 22

8x - 8y = 8

Step 2: Solve for x

Elimination

Add 2 equations together:                    10x = 30Divide 10 on both sides:                         x = 3

Step 3: Solve for y

Define original equation:                    8x - 8y = 8Substitute in x:                                     8(3) - 8y = 8Multiply:                                                24 - 8y = 8Subtract 24 on both sides:                 -8y = -16Divide -8 on both sides:                      y = 2

Step 4: Graph systems

Check the systems.

Given 2y =a^x +2a ^-x and a^x>0.
Show that a^x= y + sqrt (y^2-)​

Answers

Answer:

Answer by Yi Jing

Step-by-step explanation:

Which expression is equivalent to sqrt(80)?

Answers

Answer:

b on edg

Step-by-step explanation:

second part

a=4

b=5

which of the following functions is graphed below​

Answers

Answer:

A.

Step-by-step explanation:

When X is zero y is 7.

It looks like the y intercept is 7 hard to tell in the picture

Answer:

im going to guess C

Step-by-step explanation:

Multiply. Express your answer in simplest form.
5/9 x 3/10

Answers

Answer:

5/9 x 3/10 = 15/90 as simplified as 1/6 in fraction form.

5/9 multiplied by 3/10 is equal to 1/6 in its simplest form.

We have,

To multiply fractions, we multiply the numerators together and the denominators together.

The resulting fraction is then simplified to its simplest form.

Let's multiply 5/9 by 3/10:

(5/9) x (3/10) = (5 x 3) / (9 x 10) = 15/90

To simplify the fraction 15/90, we can divide both the numerator and denominator by their greatest common divisor, which is 15:

15/90 = (15 ÷ 15) / (90 ÷ 15) = 1/6

Therefore,

5/9 multiplied by 3/10 is equal to 1/6 in its simplest form.

Learn more about fractions here:

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(Giving brainliest and extra points to who ever helps me!! :D)


Petra eats five and three fifths pies in a pie-eating contest. Paulie eats three and fourteen sixteenths pies in the contest. How many more pies did Petra eat?

A) one and fifty eight eightieths pies
B) one and seventeen twenty firsts pies
C) two and fifty eight eightieths pies
D) two and seventeen twenty firsts pies

Answers

Answer:

2 7/20

Step-by-step explanation:

So Lets put these into a fraction form

Petra: 5 3/5

Pauline: 3 4/16 -> Can be Simplified = 3 1/4

Take the number of pies Petra Ate and subtract it by the number of pies Pauline ate

Change the numbers to a common factor. (multiply 3/5 by 4 and 1/4 by 5 to have common denominators)

Make These Into a Mixed Fraction

Subtract 112-65

Simplify (divide 47 into 20 how many times to get into a mixed fraction)

Hope This Helps :)

Answer:

27/20

Step-by-step explanation:

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