A women is twice as old as her daughter . twenty one years ago she was three times her daughter . What is the women's present age?​

Answers

Answer 1

Answer:

84

Step-by-step explanation:

women=x

daughter=y.

x=2y.

x-21=3(y-21).

2y-21=3y-63.

42=y.

x=84.

Hope this helps plz hit the crown :D

Answer 2

Answer:

Daughter's present age = 42 years

Women's present age =  84 years

Step-by-step explanation:

Daughter's present age = x years

Women's present age = 2*x = 2x

21 years ago:

Daughter's age = x - 21

Women's age = 2x - 21

Women's age = 3*daughter'sage

2x - 21 = 3*(x - 21)

2x - 21 = 3x - 63        {Subtract '2x' from both sides}

   - 21   = 3x - 2x - 63

   -21    = x - 63             {Add 63 to both sides}

-21 +63 =  x

42  = x

Daughter's present age = 42 years

Women's present age = 2*42 = 84 years


Related Questions

Twenty-one people brought a chocolate cake to a community potluck dinner each cake was split into 8 slices how many slices of chocolate cake are at the dinner

Answers

Answer:

168

Step-by-step explanation:

Multiply 21 by 8 so

21 × 8 = 168

(GIVING BRAINLIEST!!!)

Choose the division equation that represents the fraction shown.

one seventh = ________

6 ÷ 7 = ________
7 ÷ 6 = ________
7 ÷ 1 = ________
1 ÷ 7 = ________

Answers

Answer:

D

Step-by-step explanation:

I did the test and got it right.

On their most recent 8-mile training run, Pepe averaged a speed of

I of a mile in 4.5 minutes, while Paula averaged of a mile in 7.5

minutes.

How many minutes did it take the faster runner to finish the 8 mile

run?

Answers

Answer:

36 minutes

Step-by-step explanation:

Given that:

The length of run = 8 miles

Average speed of Pepe = 4.5 minutes per minute

Average speed of Paula = 7.5 minutes per minute

To find:

Minutes taken by the faster runner to finish the 8 mile run?

Solution:

First of all, let us have a look at the relation between Time and Speed.

[tex]Speed = \dfrac{Distance}{Time}[/tex]

If the distance is a constant, then

[tex]Speed \propto \dfrac{1}{Time}[/tex]

i.e. Speed is inversely proportional to time.

That means faster runner will take smaller amount of time.

So, faster runner is Pepe who is taking lesser time.

Time taken to complete 1 mile = 4.5 minutes

Time taken to complete 8 miles = 4.5 [tex]\times[/tex] 8 minutes = 36 minutes

So, the faster runner i.e. Pepe takes 36 minutes.

3х - 2 = 4 - x
pleaseee answer this is due in 20 minutes

Answers

Step-by-step explanation:

3x-2=4-x

3x+x=4+2

4x=6

x=6

4

x=3

2

hope it helps.

please help as fast as possible

Answers

Answer:

D

Step-by-step explanation:

You can divide each side length by two to get D

Answer:

The answer is D

Step-by-step explanation:

Work out the question ?

4 1/2 - 1 1/3=

Answers

Answer:

Today: Tuesday, 12th January 2021

16.31 PM

[tex] \tt 4 \frac{1}{2} - 1 \frac{1}{3} [/tex]

[tex] = \tt \frac{9}{2} - \frac{4}{3} [/tex]

[tex] = \tt \frac{27 - 8}{6} [/tex]

[tex] \tt = \frac{19}{6} [/tex]

[tex]{\orange{\boxed{\red{ \tt = 3 \frac{1}{6} }}}}[/tex]

How many solutions does the nonlinear system of equations graphed below have?​

Answers

Answer:

C. Four

Step-by-step explanation:

Because the circle (which could be represented by one equation) and the parabola (which could be represented by another equation) intersect at four distinct points, the graphed systems of equations has four solutions.

Answer:

It has four solution so the answer is C.

Step-by-step explanation:

I NEED HELP PLEASEEEEEEE I FORGOT TO STUDY AND ITS GONNA BE DUE today ;c

Answers

Answer:

1/2

-1

1/2

-5/4

Step-by-step explanation:

I gotchu

Calculating the slope is simple

First, pick two points on the line

Next, see how far the second point is from the first point in the y direction only (the rise)

Next, see how far the second point is from the first point in the x direction only (the run)

Finally, divide the rise by the run

Q1:

rise 1

run 2

1/2

Q2:

rise 2

run -2

-1

Q3:

rise 1

run 2

1/2

Q4:

rise 5

run -4

-5/4

Find the slope of the line in the graph.

PLEASE HELP!!!!

Answers

Answer:

-3/4x

Step-by-step explanation:

down 3 left 4 rise/run

PLEASE god answer this question, no one will ever answer my stuff.

If the simple interest on ​$6000 for 8 years is ​$2400, then what is the interest​ rate?

Answers

Answer:

there are different intrest rates, depending on where it is. but im choosing 8400

Step-by-step explanation:

In one large city, 40% of all households own a dog, 32% own a cat, and 18% own both. Suppose we randomly select a household and learn that the household owns a cat. Find the probability that the household owns a dog.

Answers

Answer:

Step-by-step explanation:

0.563

Answer:

0.563

Step-by-step explanation:

P(D|C)= 0.18/0.32

= 0.563

Diet cola was on sale last week; it cost $10 for every 4 packs of cola. How much do 2 packs of cola cost?

Answers

Answer:

2 pack of cola would cost $5.

Step-by-step explanation:

the reason for this being is that

4 packs of cola = $10

2 is half of 4

5 is half of 10

$5<====

Answer:

I would say 5$

Step-by-step explanation:

You are going from 4 packs to 2 packs (so you are dividing by 2). So if you divide 10$ by 2 you get 5$

I hope this helps!

HELP PLZZZZZZ

It costs Linus a processing fee of $45 to set up a new cell phone account with AT&T plus $65 per month for the cell phone plan. His sister, Lucy, also wants to use the cell phone to call her friends each month. Lucy agrees to pay Linus $15 towards the processing fee and tells him she will pay $20 per month.
Define a variable.

Write an expression that represents how much Linus will have to pay for the cell phone if Lucy contributes.


Determine how much Linus will pay if he has the cell phone for 6 months.

Answers

Step-by-step explanation:

Let x represent the number of months for the cell phone plan.

Since Lucy is contributing, Linus does not have to pay the full cost.

Instead Linus will have to pay:

($45 + $65x) - ($15 + $20x)

= $30 + $45x.

If x = 6,

Linus will pay $30 + $45(6) = $300.

A school teacher wants to survey students at her elementary school. She surveys 20 students from each grade level. What type of sampling technique she is using

Answers

Answer:

Stratified Random sampling

Step-by-step explanation:

When a random observations are selected from a number of individual groups in a particular population, the type of sampling technique is called Stratified Random sampling. Stratified Random sampling begins with the partitioning or splitting or a population into subgroups. A number of random selection are then made from each of the subgroups to form a collection of larger samples. This is different from the simple random sampling technique which makes random selection directly from a larger sample or population without prior partitioning of the population. The different grades of students represents the individual stratum from which random selections are made.

I really need help with this question I’ve been struggling on this plzzz help

Answers

Answer: A = 30, B = 91, C = 59

Step-by-step explanation:

(2x-1)+(3x+1)+x = 180

2x-1+3x+1+x=180

6x=180

x=30

What value of x makes this equation true?

-3x + 10 = 5x + -8

Answers

Answer:

x = 2.25

Step-by-step explanation:

Simplify. Assume that all variables are positive.

Answers

Answer: [tex]-3x^{2} y\sqrt[3]{2y}[/tex]

Step-by-step explanation:

20 points! Pls help! Will mark brainliest!

Answers

Answer:

2x

Step-by-step explanation:

the absolute value will always be positive so the question comes down to      'x + x', which is 2x

What is the probability a sample of 66 test takers will provide a sample mean test score within 10 points of the population mean of 533 on the Evidence-based Reading and Writing part of the test?

Answers

This question is incomplete, the complete question is;

A certain organization reported the following scores for two parts of the scholastic Aptitude test ( SAT)

Evidence-based Reading and writing  : 533

Mathematics                                           : 527

Assume the population standard deviation for each part is σ = 100.

What is the probability a sample of 66 test takers will provide a sample mean test score within 10 points of the population mean of 533 on the Evidence-based Reading and Writing part of the test?

Answer: the required probability is 0.582

Step-by-step explanation:

Given that;

Population mean = 533

sample size n = 66

population standard deviation σ = 100

σ of x bar = 100/√66 = 12.3091

Normal distribution with mean 533 and SD of 12.3091

P( 523 <x< 543 )

Z = 10 / 12.3091

Z = 0.8124, -0.8124

P( z < 0 0.8124) - P( z < -0.8124)      { from table}

⇒  0.7910 - 0.2090

= 0.582

Therefore, the required probability is 0.582

Determine the values of the principal square roots.
V25 =
V64 =
V100

Answers

Answer:

√25 = 5

√64 = 8

√100 = 10

Step-by-step explanation:

The principal square root is the positive number square root

Answer:

he is correct. I got the question right on my assignment in edge

Step-by-step explanation:

In a class in which the final course grade depends entirely on the average of four equally weighted 100-point tests, Paul has scored 75, 80, and 91 on the first three. What range of scores on the fourth test will give Paul a C for the semester (an average between 70 and 79, inclusive)? Assume that all test scores have a non-negative value.

Answers

Answer:

Scores between 34 and 70 on the fourth test will give Paul a C for the semester.

Step-by-step explanation:

The average is given by the sum of all scores divided by the number of scores.

In this question:

Sum of all scores: 75 + 80 + 91 + x = 246 + x

Number of tests : 4

Grade of 70:

[tex]\frac{246 + x}{4} = 70[/tex]

[tex]246 + x = 280[/tex]

[tex]x = 280 - 246[/tex]

[tex]x = 34[/tex]

Grade of 79:

[tex]\frac{246 + x}{4} = 79[/tex]

[tex]246 + x = 316[/tex]

[tex]x = 316 - 246[/tex]

[tex]x = 70[/tex]

Scores between 34 and 70 on the fourth test will give Paul a C for the semester.

for which value of x is the expression undefined?

Answers

any number divided by zero is undefined. so you would want zero in the bottom or denominator. if you sub 1 in for x you would get zero in the denominator. so 1

A painting is 23 inches high and 11 inches wide. What is the diagonal length across the painting?

Answers

Answer:

the diagonal length is 25.50

Step-by-step explanation:

The computation of the diagonal length across the painting is as follows:

As we know know that

The Diagonal length would be

= [tex]\sqrt{w^2 + l^2}[/tex]

where

w = width

l = length

So, the diagonal length is

[tex]= \sqrt{23^2 + 11^2}\\\\= \sqrt{529 }+ 121} \\\\= \sqrt{650}[/tex]

Hence, the diagonal length is 25.50

Rahul drives his car and travels 10Km in 12mins. What is the distance covered by him in 1 hour?

Pls answer quick I have an exam tomm I need answer for this question


First helpful answer will be marked as brainliest

Regards,
Me

Answers

Answer:

50

Step-by-step explanation:

first of all thimk about how many 12s there is in 60 (which is 1hr=60)  and thats 5, so multiply 5 by 10 because in each 12 mins its 10 km which gives you 50 as the answer

In the walk-a-thon, Vernon walked 5.0 miles and
Hillary walked 4.2 miles. Who walked further,
Vernon or Hillary?

Answers

Answer:

Vernon

Step-by-step explanation:

Answer:

Vermon

Step-by-step explanation:

Vermon walked further bc

 5.0

- 4.2

= 0.8

so vermon walked .8 of a mile further than hillary

IN A HURRY PLEASE HELP

Answers

Answer:

f=3

Step-by-step explanation:

f(x) =2x-1 x = 1/2
f(x) =1/2x + 7/2 = -7
f(x) =1/2x + 3/2 = -3
f(x) =2x^2 - 3x + 1 = 2(x- 3/4)^2 - 1/8

Sarah is scuba diving. She starts at a depth of 37 feet below the waters surface, descends 11 feet, ascends 7 feet, ascends 5 more feet and then descends 20 feet. Write an expression to find her final depth.

Answers

Answer:

37-11+7+5-20=18

Step-by-step explanation:

Answer:

-37-11+7+5-20

The lifetimes of a certain type of calculator battery are normally distributed. The mean lifetime is 400 days, with a standard deviation of 50 days. For a sample of 6000 new batteries, determine how many batteries will last:

Answers

Complete question :

The lifetimes of a certain type of calculator battery are normally distributed. The mean lifetime is 400 days, with a standard deviation of 50 days. For a sample of 6000 new batteries, determine how many batteries will last: 360 and 460 days

Answer:

0.67307

Step-by-step explanation:

Given that :

Mean, m = 400

Standard deviation, s = 50

Sample size, n = 6000

Obtain the standardized score :

Zscore =(x - m) / s

For X = 360

P(x < 360)

Zscore =(360 - 400) / 50

Zscore = - 40 / 50

Zscore = - 0.8

P(Z < - 0.8) = 0.21186

For X = 460

P(x < 460)

Zscore =(460 - 400) / 50

Zscore = 60 / 50

Zscore = 1.2

P(Z < 1.2) = 0.88493

P(Z < 1.2) - P(Z < - 0.8)

0.88493 - 0.21186

= 0.67307

You roll a 6-sided die.
What is P(not factor of 35)?
Simplify your answer and write it as a fraction or whole number.

Answers

Answer:

[tex]\huge\boxed{\text{P(not factor of 35) = } \frac{2}{3}}[/tex]

Step-by-step explanation:

We can use basic probability to find the probability that this roll is not a factor of 35.

First off, we know that with a six sided die there are 6 possible things we can roll.

1, 2, 3, 4, 5, or 6

Now, what are the factors of 35? The factors of 35 will be any whole number that can be multiplied by another whole number to get 35.

We know [tex]1 \cdot 35 = 35[/tex], so two factors are 1 and 35.We know [tex]5 \cdot 7 = 35[/tex], so two factors are 5 and 7.

Therefore, the factors of 35 are 1, 5, 7, 35.

Both 5 and 7 are inside the range of 1-6. So the probability of rolling a side that's a factor of 35 will be  [tex]\frac{2}{6} = \frac{1}{3}[/tex] since there are two factors and 6 possible options.

This means, logically, there is a  [tex]\frac{4}{6} = \frac{2}{3}[/tex]  chance of not rolling a factor of 35.

Hope this helped!

E(-2,-1), F(-1,1). G(2,0)
E'(-5.-2.5). F'(-2.5,2.5), G' (5,0)

Answers

Answer:

Step-by-step explanation:

E =1.3

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