A mother is now 2 1/2 times old as her daughter Mary. Four years ago the ratio of their ages was 3:1. Find the present age of the mother.

Answers

Answer 1

Answer:

The present age of the mother is 40 years

Step-by-step explanation:

Let the age of the mother be M and that of the daughter D. Given that the mother is now 2 1/2 times old as her daughter Mary then

M = 2.5D

Given that Four years ago the ratio of their ages was 3:1

The mother's age 4 years ago was

= M - 4

and that of the daughter then was

= D - 4

Hence

(M - 4)/(D - 4) = 3/1

Cross multiply

M - 4 = 3(D - 4)

M - 4  = 3D - 12

M = 3D - 12 + 4

M = 3D - 8

Substitute into the first equation

3D - 8 = 2.5D

3D -2.5D = 8

0.5D = 8

D = 8/0.5

= 16 Years

M = 2.5D

M = 2.5 * 16

= 40 Years


Related Questions

A jar has 28 cherry-flavored candies, 19 strawberry-flavored candies, 20-orange flavored candies, and 33 lemon-flavored candies. If a candy is taken from the jar at random, what is the probability that it will be a cherry-flavored cnady?

Answers

Answer: 7/25 or 28%

Step-by-step explanation:

28 (cherry) + 19 (strawberry) + 20 (orange) + 33 (lemon) = 100 (total)

so p(cherry), or the probability of getting cherry, is 28/100 (7/25)

that as a percent is 28%

triangle abc is similar to triangle fgh solve for x

Answers

Answer:

A= 24

Step-by-step explanation:

First find the scale factor. so the scale factor for these two triangles is 1.5.

21 / 14 = 1.5

18 / 12 = 1.5

So you are going to multiply 16 x 1.5

That will give you 24.

ASAPPP
-WILL MARK BRIANIST

Answers

Answer:

A. 2:1

Step-by-step explanation:

pretty sure larger numbers go first

Answer:

D)  1:2

Step-by-step explanation:

The temperature was 14`°F`. If the temperature dropped 5 degrees every hour for 4 hours, what is the temperature after the 4 hours? Which equation could represent this situation?

Answers

Answer:

-6F

Step-by-step explanation: It would be 5F(4hr) = 20F. So if you have 14F subtract 20F you get -6F. Hope this helped.

You receive a $7000 gift which you want to invest for 4 years. How much money would you have in the bank account if the interest rate is 12% and is compounded continuously?

Answers

Answer:

The final balance is £11,285.58.

The total compound interest is £4,285.58

Step-by-step explanation:

hope that's right and it helps you

also please tell me If I got it right or wrong

Someone pls help me I’ll mark brainliest

Answers

Answer:

option 4

Step-by-step explanation:

it can't be greater or equal to so mark off the other ones and we also don't know how many games he played so put a variable beside that 2.5 hope this helps

what should be subtracted from -5/3 to get 5/6

Answers

Answer:

-3/4-x=5/6

x=-3/4-5/6

x=-3*6-5*4/6*4

x=-18-20/24

x=-38/24

x=-19/12

Step-by-step explanation:

hope it helps  

stay safe love u

btw can i get brainliest

Answer:

-5/3 - x = 5/6

-x = 5/6 +5/3

-x/-1 = (5/2)/-1

therefore x = -5/2

therefore -5/2 must be subtracted

What is the value of this expression when x= -4 and y= 64? -437 + 12 O A O OB. OC. OD. -48​

Answers

The correct answer when you plug in x and y values is -32 however that answer is not there . Perhaps they only wanted it before combining all like terms ? So again it really should be -32 , but if force yo pick
an answer from the choices I would pick -16

True or False?

When rainfall increases, the water level in the lake goes up. Rainfall is the independent variable in this situation. (4 points)

Answers

Answer:True

Step-by-step explanation: I did a quiz on it

Answer:

it is true am I right of this question

PLEASE HELP ASAP SHOW WORK PLEASE!!!!

Answers

Answer:

The limit is -1

Step-by-step explanation:

As shown by the equation, it shows x -> -1

which represents x approaching the limit of -1

PLEASE HELP ASAP WILL MARK BRAINLIEST

Answers

the answer is C good luck on ur test

Answer:

a

Step-by-step explanation:

PLZ SOMEONE HELP I FORGET HOW TO DO THIS AND IT'S FINALS I WILL BRAINLIST​ NAD GIVE A LOT OF POINTS​

Answers

Answer:

Good luck!

Step-by-step explanation:

8. -3.2

X= -9+14 = 5

Y= 0-16 = -16

-16/5 = -3.2

9. 1.5

X= 13-2 = 11

Y= -1+18= 17

17/11= 1.5

Find the area of the following rectangle. Type out al work

Answers

Step-by-step explanation:

[tex]area = length \times width \\ = (4x + 3) \times (2x + 2) \\ = ( {8x}^{2} + 8x + 6x + 6) \\ = ( {8x}^{2} + 14x + 6) \: {units}^{2} [/tex]

Answer:

[tex](8x + 14x + 6)^{2}[/tex]

Step-by-step explanation:

Area of a rectangle is length x breadth

In the given figure, the length is 2x + 2 and breadth is 4x + 3

So, the area would be:-

(2x + 2) (4x + 3)

[tex]8x^{2}[/tex] + 6x + 8x + 6

So the area would be => [tex](8x + 14x + 6)^{2}[/tex]

Edison, Xiu, and Amia are childhood friends who go to different high schools. They were wondering if there's
a difference between their schools in the number of friends people have on social media.
They each surveyed a random sample of students from their schools, asking for the number of friends they
have on social media. Here are the results:
They want to perform a x2 test of homogeneity on these results.
What is the expected count for the cell corresponding to students from Edison's school that have more
than 300 friends?
You may round your answer to the nearest hundredth.
Expected:

Answers

Answer:

22.33

Step-by-step explanation:

khan

ANSWER ASAP I WILL MAKE BRAINLYIST
solve 2x+2y=-4, 6x-2y=12 using Elimination
NO LINKS (i need the steps not just the answer)

Answers

Answer:

2x+2y=-4

since we don't know the value of the letters, we could ignore it. then we add 2+2 which equals 4

6x-2y=12

In this case this equation is incorrect.

Step-by-step explanation:

sorry if I'm incorrect

(please if I'm correct, I really need the brainliest)

Answer:

(1,-3)

or

x=1 y= -3

Step-by-step explanation:

Looking at this we can see that there's a 2y in both of the equations (one is negative while the other is positive and so we'll add them)

so we have

(2x+2y)+(6x-2y)= -4+12

this simplifies to

8x=8

x=1

We know that x=1 and so we will plug this back into one of the two equations

2(1)+2y= -4

2+2y= -4

2y= -6

y= -3

Therefore the solution is (1,-3)

i need help quick its due today please help show WORK and how to do it . NO links
a - 5 = -12

Answers

Answer:

a = -7

Step-by-step explanation:

a - 5 = -12

  +5     +5

a = -7

Answer:

a = -7

Step-by-step explanation:

First, we have to make both sides equal. We do this by isolating the variable a. When we add 5 to -12, it becomes -7.

What is the difference of the polynomials?
(x2 - 6x + 2) - (3x? – 7x-8)

Answers

the difference is 10.

 A map of a highway has a scale of 2 inches equals 33 miles. The length of the highway on the map is 6 inches. There are 11 rest stops equally spaced on the​ highway, including one at each end. You are making a new map with a scale of 1 inch equals 30 miles. How far apart are the rest stops on the new​ map?
(nvm)

Answers

Answer:

The answer is "0.975"

Step-by-step explanation:

Please find the complete question in the attched  file.

Find the remaining distance inside the original map

[tex]\to \frac{9}{6}=1.5 \ in[/tex]

Dividing the value by 6 because there are 7 rest stop:

[tex]\to \frac{2 \ inches}{39 \ inches} =\frac{1.5 \ inches}{x \ miles}\\\\\to x=39 \times \frac{1.5}{2}\\\\\to x=29.25 \ miles[/tex]

Finding the diatance of the rest stop in the new map

Using proportion:

[tex]\to \frac{1 \ inches}{30 \ miles} =\frac{x \ inches}{ 29.25 \ miles}\\\\\to x= \frac{29.25}{30}\\\\\to x=0.975 \ in[/tex]

How do you write 4.7x10^1 in standard form?

Answers

Answer:

Hello I am here to help!!

Step-by-step explanation:

The answer is 47

It's written as 47! <3

6. A particle is moving on a straight line such that a(t) = cost, s(0) = 0, v(0) = 5.
Find the position s(t) of the particle.

Answers

Step-by-step explanation:

St3-623t+4St3-623t+4V=St3-623t+4V=dsSt3-623t+4V=dsdtSt3-623t+4V=dsdtSo 3t²12 + 3 = vSt3-623t+4V=dsdtSo 3t²12 + 3 = vagain differentiate,a =St3-623t+4V=dsdtSo 3t²12 + 3 = vagain differentiate,a =6t - 12 = 0St3-623t+4V=dsdtSo 3t²12 + 3 = vagain differentiate,a =6t - 12 = 0t=2sSt3-623t+4V=dsdtSo 3t²12 + 3 = vagain differentiate,a =6t - 12 = 0t=2sv=3(2)² - 12 x 2+3=-9ms-1

What is the range of the function f(x) = -3x + 1 when the domain is {-2, 0, 3}?
A. all real numbers
B. {-31, -29, -32}
C. {7, 1, -8}
D. {-5, 1, -8}

Answers

Answer:

Solution given:

f(x) = -3x + 1

f(-2)=-3×-2+1=7

f(0)=-3×0+1=1

f(3)=-3×-3+1=-8

So

Range is {7,1,-8) is a required answer

1. Calculate the value of 8. 1 × 103 − 2. 4 × 102 in standard form.
2. Blood comprises 8% of the weight of a human. Amy weighs 40kg. Find the weight of her blood.

Answers

Step-by-step explanation:

1. We need to find the value of 8.1 × 10³ − 2.4 × 10² in standard form.

We can also write its as :

8.1 × 10³ − 2.4 × 10²

81000 − 240

Standard form = 80760

2.

Amy's weight = 40 kg

Blood comprises 8% of the weight of a human.

Weight of her blood,

[tex]W=8\%\ of\ 40\\\\=\dfrac{8}{100}\times 40\\\\=3.2\ kg[/tex]

So, the weight of her blood is equal to 3.2 kg.

what type of angles are 1 and 8

Answers

Answer:

Alternate exterior angles

What is the volume of this 3 dimensional figure

Answers

Answer: 2496in³

Step-by-step explanation:

To find volume, multiply the numbers by length, width, and height.

In this case, 24 is the length, 8 is the width, and 13 is the height.

24 × 8 × 13 = 2496 inches ³ (cubed).

Answer:

option C 2496

Step-by-step explanation:

you multiply 13 by 24 by 8

Seven gallons of a sugar solution was mixed with 4 gallons of a 80 percent sugar solution to make an 72 percent sugar solution. Find the percent concentration of the first solution. (a) 70% (b) 61% (c) 69% (d) 67%

Answers

Answer:

67%

Step-by-step explanation:

Let the percentage of the first solution = x

7 gallons + 4 gallons = 11 gallons

Our system of equation is

Seven gallons of a sugar solution was mixed with 4 gallons of a 80 percent sugar solution to make an 72 percent sugar solution.

7 gallons × x % + 4 gallons × 80% = 72% × 11 gallons

= 7x + 3.2 = 7.92

Collect like terms

7x = 7.92 - 3.2

7x = 4.72

x = 4.72/7

x = 0.6742857143

Converting to percentage

0.6742857143 × 100

= 67.42857143%

Approximately, the percent concentration of the first solution is 67%

120 sweets are put into three different size boxes.
The sweets are put into a small box, a medium box and a large box in the ratio 1:2:5
Work out the number of sweets in a large box.

Answers

Answer:

75 sweets

Step-by-step explanation:

Given that

There is 120 sweets that are put into three different size boxis

And, the ratio of small box to medium box to large box is 1:2:5

We need to find out the no of sweets in the large box

So,

The number of sweets in a large box is

= 120 sweets × 5 ÷ (1 + 2 + 5)

= 120 sweets × 5 ÷ 8

= 75 sweets

Paul has 16 baseball cards and 12 Pokémon cards. What is the ratio of baseball to Pokémon?

Answers

Answer:

16:12

Step-by-step explanation:

This is the right answer because 16 baseball cards is the most to 12 Pokemon cards as the least or smallest

Answer:

The answer is 16:12

The answer is 16:12, but if it needs to be simplified then the answer would be 4:3

Lin says that the inequalities LaTeX: h>150h > 150 and LaTeX: h<160h < 160 describe her height in centimeters.

What do the inequalities tell us about her height?


Can you guys help me!!!!!!!

Answers

Answer:

Lin is between 150 and 160 cm

Step-by-step explanation:

The height is represented by the inequality :

h > 150 and h < 160

h > 150 - - (1)

h < 160 - - - (2)

Combining the two :

h > 150 means 150 is less than h but h is not upto 160

Thus, we have ;

150 < h < 160

This means height, h occurs between the range ; 150 cm and 160 cm

Can someone plz answer these 2 questions plz? I'll give brainliest

Answers

Answer: gaming

Step-by-step explanation: gaming is a good sport

So i have a pic i need 1a plz i am giving a bunch of my points plz give it real asap

Answers

Answer:

3x - (15 x 3) = 90

or

3x - 45 = 90

Explanation:

There are 3 boxes. We don't know how many are in them yet, so we write this as 3x. However, we know that we give away 15 to 3 different teachers. 15 x 3 = 45

Therefore, the first part is 3x - 45

We also know that in the end we have 90 left.

So our final equation is:

3x - 45 = 90

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