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

What is the value of 3.45 + 2.6 + 32.007?​

Answers

38.057 is the total

Answer:

38.057

Step-by-step explanation:

someone plz help figure this out i need it today

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Can u make the picture closer

The costs for going to a dog beach are $7 for 1 dog, and $2 for each additional dog. Write an equation for this situation, when going to the beach with at least one dog.

Answers

Answer:

$7+$2(x-1)-y

Step-by-step explanation:

$7+$2(x-1)=y where $7 is fixed fee and $2(x-1) represents $2 more for every ADDITIONAL dog more than the first dog.

PLEASE ANSWER IN SCIENTIFIC NOTATION WITH STEPS PLEASE DUE BY 10:15 AM NO BOTS

Answers

Answer:

i think is c.

Which of the following statements shows the inverse property of addition?
O y + (-y) = 0
Oy+0=y
Oty=y
O y + y = 2y

Answers

Answer:

[tex]y + (-y) = 0[/tex]

Step-by-step explanation:

Required

Which represents addition inverse

This property illustrates the addition of a number and its inverse (i,e, negation)

So, we have:

[tex]-y + y = 0[/tex]

or

[tex]y + (-y) = 0[/tex]

If 661,17A is a multiple of 12, then what is A?

Answers

Answer:

A=6

Step-by-step explanation:

A can only be a number 1-9 so try every number.

661,176/12 = 55098

Hope this helped! :)

Martin's bank account balance is negative. Each week that his
account remains negative the bank charges $36.50. Martin did
not make any deposits and now his bank account balance is
-$182.50. How many weeks was his account negative?

Answers

Answer:

5

Step-by-step explanation:

182.50/36.50 per week= 5 weeks

Find the distance between the points (1,8) and (9, 2).
Write your answer as a whole number or a fully simplified radical expression. Do not round.
units

Answers

Answer:

[tex]distance = \sqrt{(x_{1} -x_{2})^2+(y_{1} -y_{2})^2 }\\\\[/tex]

             [tex]=\sqrt{(9-1)^2+(2-8)^2 }\\\\=\sqrt{8^2 + 6^2}\\\\=\sqrt{64 +36 }\\\\=\sqrt{100} = 10units[/tex]

helppppp me its for a grde

Answers

Answer:

567.7

Step-by-step explanation:

This is the correct answer because 7.4 would be the radius & 9.9 would be the height.

V=πr2h

3=π·7.42·9.9

3≈567.7

Hope this helps please mark as brainliest! Thx!‍‍➕➖➗

Find the volume of the prism below.
3 ft
8 ft
6 ft

Answers

Answer:

3: 27

8; 512

6; 216

Step-by-step explanation:

PLEASE HELP, I WILL MARK BRAINLIEST!

Answers

Answer:

5

Step-by-step explanation:

There are 5 different segments.

Use the vertical line test to determine whether y is a function of x

Answers

Answer:

Not a function of x

Step-by-step explanation:

A vertical line intersects the graph twice, which immediately tells us that y is not a function of x here.  If y were a function, the vertical line would intersect the graph in only one place.

No, A vertical line intersects the graph doubled, which instantly tells us that y exists not a function of x here. If y existed a function, the vertical line would intersect the graph in just one area.

What is Vertical line test?

If a vertical line can be drawn to connect the graph of a function in more than one place, then stands NOT a function. If it exists not feasible to draw a vertical line to touch the graph of a function in more than one place, then y exists as a function of x.

No, A vertical line intersects the graph doubled, which instantly tells us that y exists not a function of x here. If y existed a function, the vertical line would intersect the graph in just one area.

Therefore, the correct answer is option B. No.

To learn more about vertical line test

https://brainly.com/question/1821791

#SPJ2

is it a solution or not
y = 2x
y = x + 1

Answers

No its not.
Y = 2x
But y=/= x+1
Because 2x = x+x
= 2*x
But 1+x is not 2x
Let x be 5
2x = 2*5 = 10
Y = 10
but,
1 + 5 =/= 10
So y = 1+6

find the area of a trapezoid

Answers

Answer:

the right answer is

270 squared unit

Ricky and Lucy are 40 miles apart on bicycles heading towards each other on the same road. Ricky bicycles at 8 mph and Lucy rides at 6 mph. In how many hours will they meet?

Answers

Answer:

2.86 hours

Step-by-step explanation:

Ricky and Lucy are 40 miles apart on bicycles heading towards each other on the same road. Ricky bicycles at 8 mph and Lucy rides at 6 mph. In how many hours will they meet?

Speed = Distance/time

Distance = Speed × time

t = ?

Hence,

8mph ×t + 6 mph × t = 40 miles

8t + 6 t = 40 miles

14t = 40 miles

t = 40/14

t = 2.86 hours

They will meet in 2.86 hours

Which number is included in the set of integers that when added to 24 gives a sum of less than zero? Select all that apply.


7

-2


4


3


0


9

Answers

Answer:

immma send you the link friend me on hereStep-by-step explanation:

Which fraction is equivalent to -(7/8)

1. -7/8
2. -7/-8
3. -(-7/8)
4. -(7/-8)

Answers

Answer:

A. The others are equivalent to 7/8

What is equivalent to square root of 2 over 2? Select all that apply

Answers

Answer:

The answer is 2.

Step-by-step explanation:

I need the correct answer please and thank you.

Answers

Answer:

1,156 I think that’s right

Step-by-step explanation:

Can someone help me ASAP

Answers

Answer:

A) 1/2

Step-by-step explanation:

blue/total number of spins

30/60

1/2

Ans: 1/2

I need help with this question hurry

Answers

Answer:

a b c and f

Step-by-step explanation:

rectangle parallelogram square and rhombus

Help please I am struggling thank you

Answers

The answer is 904.8 yd³

Step-by-step explanation:

The formula for a sphere's volume is 4/3πr²

r in this case is 12/2 which is 6. That means that r=6 which gives us 904.78 which is rounded to 904.8.

Answer:

904.32

Step-by-step explanation:

v= [tex]\frac{4}{3\\}[/tex][tex]\pi[/tex][tex]r^{3}[/tex]

first cube the radius (6)  (radius is half of the diameter 12)

6x6x6 = 216

multiply by pi

216 x 3.14 = 678.24

multiply by 4/3

[tex]\frac{678.24}{1}[/tex] x [tex]\frac{4}{3}[/tex] = [tex]\frac{2712.96}{3\\}[/tex] = 904.32

find the area of a circle with a radius of 4.25 meters. round your answer to the nearest hundredth

Answers

Answer:

56.74502 units^2

Step-by-step explanation:

area = pi*radius^2

area = (3.14159265359)(4.25)^2

area = 56.74502 units^2

I need help on this math question, coordinate planes.

Answers

Answer:

where is the question?

Step-by-step explanation:

the picture is all black.

Answer:

4840 yards squared!

Which equation represents the line that is perpendicular to and passes through (-6,-9)?
A.
x = -9
B.
x = -6
C.
y = -9
D.
y = -4

Answers

Answer:

y = -9

Step-by-step explanation:

Complete question;

Which equation represents the line y = 1/4 that is perpendicular to and passes through (-6,-9)?

The equation of the line in point slope form is y-y0 = m(x-x0)

Given the equation y = 1/4, the slope of the line is zero

Substitute the slope and the point into the formula;

y -(-9) = 0(x-(-6)

y + 9 = 0

y = -9

Hence the required equation is y = -9

Answer:

C.y = -9

Step-by-step explanation:

NEED HELP ASAP
If you roll a 6-sided die 12 times, what is the best prediction possible for the number of times you will roll a six?

Answers

Answer:

2 times

Step-by-step explanation:

the probability to get a 6 is 1/6. multiply it by 12/1, to get 12/6 which is 2

the answer is two times

solve for x

i really need help

Answers

Answer:

x =10

Step-by-step explanation:

angles are equivalent

170 = 2x + 6x + 90

170 - 90 = 8x +90 - 90

80 = 8x

10 = x

Simplify this expression using the distributive property.
2(2z+9)

Answers

Answer:

[tex]\bold{4z+18}[/tex]

Step-by-step explanation:

Hi there!

The Distributive Property states that

[tex]\bold{a(b+c)=ab+ac}[/tex]

Now, let's use this property to solve our problem:

[tex]\bold{2(2z+9)}[/tex]

[tex]\bold{4z+18}[/tex]

Hope it helps! Enjoy your day!

~Just a teenage girl willing to help

[tex]\bold{Besties4Ever:-):-)}[/tex]

Hi, let me help you out!

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

In order to simplify this, we're going to use a property that's called the Distributive Property:

[tex]\longrightarrow\tt{a(b+c)=ab+ac}[/tex]

Where a, b, and c can be variables, constants, or both (like 4c).

Now let's simplify our expression:

[tex]\longrightarrow\tt{2(2z+9)}[/tex]

Multiply 2 times 2z and 9:

[tex]\longrightarrow\tt{4z+18}[/tex]

Hence, we conclude that the answer is: [tex]\tt{4z+18}[/tex].

I hope this helps you! Have an awesome day.

If you need any explanation or clarification, just let me know! :)

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

What is the slope of this line?

Options:
A. -2
B. 1
C. 2
D. 1/2​

Answers

Answer:

b

Step-by-step explanation:

brainliest pls

mDE = 128 and mBC = 63. Find mZA. (The figure is not drawn to scale.)​

Answers

Answer:

The angle formed by the intersection of 2 secants could be found out as: 1/2 (Arc DE - arc BC)

mDE = 128

mBC = 63

=> 1/2 (128 - 63)

=> 32.5 = mZA

Hope this helps!

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