1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kondor19780726 [428]
3 years ago
6

At present the sum of Monica's age and daughter's age is 44 years. . After 2 years Monica's age will be three times that if her

daughter's age. find their present ages.
Mathematics
2 answers:
sergeinik [125]3 years ago
7 0

Answer:

Monica's age = 34 years

Her daughter's age = 10 years

Step-by-step explanation:

Let Monica's age = x

Let her daughter'sage = y

x + y = 44   -------> equ 1

After 2 years:

Monica's age = x + 2

Her daughter's age = y + 2

x + 2 = 3 * (y+2)

x + 2 = 3y + 6

      x = 3y + 6 -2

      x = 3y + 4

Put x value in equ 1:

    3y + 4 + y = 44

            4y = 44 - 4

             4y = 40

               y = 40/4

               y = 10

x = 44 -10

x = 34

VLD [36.1K]3 years ago
4 0

Answer: Monica' present age =34 years

Daughter's present age = 10 years

Step-by-step explanation:

Let x =  Monica's present age.

y= Her daughter's present age .

As per given , we have

x+y=44\\\\ y=44-x---(i)

After two years,

Monica's age = x+2

Daughter's age = y+2

According to the question,

3(y+2)=x+2---(ii)

Use (i) in (ii), we get

3(44-x+2)=x+2\\\\\Rightarrow\ 3(46-x)=x+2\\\\\Rightarrow\ 138-3x=x+2\\\\\Rightarrow\ x+3x=138-2\\\\\Rightarrow\ 4x=136\\\\\Rightarrow\ x=\dfrac{136}{4}\\\\\Rightarrow\ x=34

Put value of x in (i) , we get

y=44-34=10

Hence, Monica' present age =34 years

Daughter's present age = 10 years

You might be interested in
Problem PageQuestion The mass of a radioactive substance follows a continuous exponential decay model, with a decay rate paramet
asambeis [7]

Answer:

<em>t = 1.51</em>

Step-by-step explanation:

<u>Exponential Model</u>

The exponential model is often used to simulate the behavior of a magnitude that either grow or decay in proportion to the existing amount of that magnitude.

The model can be expressed as

M=M_oe^{kt}

In this case, Mo is the initial mass of the radioactive substance and k is a constant which value is positive if the mass is growing or negative if the mass is decaying.

The value of k is not precisely given in the question, we are assuming k=-0.2

The model is now

M=M_oe^{-0.2t}

We are required to compute the time it takes the mass to reach one-half of its initial value:

\displaystyle \frac{M_o}{2}=M_oe^{-0.2t}

Simplifying

\displaystyle \frac{1}{2}=e^{-0.2t}

Taking logarithms

\displaystyle ln\frac{1}{2}=ln(e^{-0.2t})=-0.2t

Solving for t

\displaystyle t=-\frac{ln\frac{1}{2}}{0.2}=1.51

6 0
3 years ago
You make 12 equal payments. You pay a total of $1440. How much is each payment?
goldfiish [28.3K]

Answer:

$120

Step-by-step explanation:

$1,440/12= $120

Hope this helps :)

4 0
2 years ago
Read 2 more answers
Square root of -25 in imaginary form
Anvisha [2.4K]
Remember
√(mn)=(√m)(√n)

and
√-1=i

√-25=(√-1)(√25)=(i)(5)
aswer is +/-5i
7 0
3 years ago
Read 2 more answers
(x - 6) (X - 4) =<br> How do I solve this?
Vedmedyk [2.9K]

Answer: x^2 -10x + 24

Step-by-step explanation:

(x-6) (x-4)

= x^2 - 6x - 4x + 24

= x^2 -10x + 24

5 0
3 years ago
Read 2 more answers
Whats the answer for 10x+5&gt;25
jok3333 [9.3K]

Answer:

3 (or x > 2)

Step-by-step explanation:

If your answer is only taking integers, then the first integer that would make this statement true would be 3. If it's for any numerical value, then the inequality would be true for any value above 2.

6 0
2 years ago
Read 2 more answers
Other questions:
  • jasmine sells girl scout cookies for $4 dollars a box jasmine says if sells $265 boxes she will make 2,000 dollars. is the exact
    14·2 answers
  • Which statements about the hyperbola are true? Check all that apply.
    15·2 answers
  • X+3y=-5<br> 4x-y=6<br><br> solve by elimination please
    10·1 answer
  • Write as a numeral: Twenty-three and 10/100
    7·2 answers
  • There is a closed carton of eggs in Mai's refrigerator. The carton contains e eggs and it can hold 12 eggs. What are some possib
    10·2 answers
  • 40 POINTS !! 40 POINTS !!<br><br> PLEASE HELP , DONT SKIP !<br><br> NO LINKS OR FILES.
    5·2 answers
  • Which ratio is the simplest form of 42 : 28 ?<br> A) 2:1<br> B<br> 21:14<br> 3:2<br> 2<br> D) 2:3
    11·2 answers
  • – 6 (2x – 3) – 11
    8·1 answer
  • Plz help me with this
    8·1 answer
  • If m and n can be any integers such that n&lt;4 and 4m - 3n &lt; 20, which of following is the solution set for m?A m &lt;7.25B
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!