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fgiga [73]
3 years ago
11

Five years from now, the sum of the ages of a women and her daughter will be 40 years. The difference in their present age is 24

years. How old is her Daughter now?
Mathematics
1 answer:
CaHeK987 [17]3 years ago
4 0

Answer:

Her daughter is <u>3 years</u> old now.

Step-by-step explanation:

Given:

Five years from now, the sum of the ages of a women and her daughter will be 40 years.

The difference in their present age is 24 years.

Now, to find how old is her daughter now.

Let the age of daughter be x\ years.

And the age of mother be y\ years.

According to question:

(x+5)+(y+5)=40

⇒ x+y+10=40

<em>Subtracting both sides by 10 we get:</em>

⇒ x+y=30

⇒ x=30-y............( 1 )

Now, as given in question:

The difference in their present ages is 24 years.

x-y=24

Putting the equation ( 1 ) in the place of x we get:

⇒ (30-y)-y=24

⇒ 30-2y=24

<em>Moving variable on one side and the numbers on the other:</em>

⇒ 30+24=2y

⇒ 54=2y

<em>Dividing both sides by 2 we get:</em>

⇒ 27=y

So, <em>the age of the mother is 27 years.</em>

Now, putting the value of  y in equation( 1 ) we get:

x=30-27

⇒ x=3

<em>The age of daughter is 3 years.</em>

Therefore, her daughter is 3 years old now.

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y = 2; distance is 4 units

Step-by-step explanation:

Line y = 2

Because the y- coordinate is the same, only horizontal movement from -1 to -5..

Which is 4 units

6 0
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Factor using the x method <br><br><br> ( please do not answer without showing work )
muminat

Answer:

5(x + 10)(10x - 3)

Step-by-step explanation:

We are factoring

50x^{2} + 485x - 150

So:

((2•5^2x^2) +  485x) -  150

Pull like factors :

50x^2 + 485x - 150  =   5 • (10x^2 + 97x - 30)

Factor

 10x^2 + 97x - 30

Step-1: Multiply the coefficient of the first term by the constant   10 • -30 = -300

Step-2: Find two factors of  -300  whose sum equals the coefficient of the middle term, which is 97.

-300    +    1    =    -299

     -150    +    2    =    -148

     -100    +    3    =    -97

     -75    +    4    =    -71

     -60    +    5    =    -55

     -50    +    6    =    -44

     -30    +    10    =    -20

     -25    +    12    =    -13

     -20    +    15    =    -5

     -15    +    20    =    5

     -12    +    25    =    13

     -10    +    30    =    20

     -6    +    50    =    44

     -5    +    60    =    55

     -4    +    75    =    71

     -3    +    100    =    97

Step-3: Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -3  and  100

                    10x^2 - 3x + 100x - 30

Step-4: Add up the first 2 terms, pulling out like factors:

                   x • (10x-3)

             Add up the last 2 terms, pulling out common factors:

                   10 • (10x-3)

Step-5: Add up the four terms of step 4:

                   (x+10)  •  (10x-3)

            Which is the desired factorization

Thus your answer is

5(x + 10)(10x - 3)

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The area of the square can be found by multiplying length times the width:

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The area of the square is 4 inches, and since we multiplied two lengths, we square the value:

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Now find the area of the circle using the formula:

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The radius is half of the diameter, so the radius is 1. Insert values and solve:

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The area of the circle is equal to π. Add the values together:

4+\pi =7.14

The area of the figure is 7.14 in²

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Answer:

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Add another 30 minutes to 6:30 = 7:00 PM

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