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musickatia [10]
3 years ago
12

The sum of Ali and Mel's age is 39. If Mel is 3 years younger than twice Ali's age, how old is Mel?

Mathematics
1 answer:
olga55 [171]3 years ago
4 0

Answer:

Age of Mel is 25 years.

Step-by-step explanation:

It is given that,the sum of Ali and Mel's age is 39. If Mel is 3 years younger than twice Ali's age.

Let 'x' be the Ali's age  and 'y' be the Mel's age

<u>To find the value of x and y</u>

sum of Ali and Mel's age is 39

⇒ x + y = 39    ------(1)

  Mel is 3 years younger than twice Ali's age

⇒ y = 2x - 3   -------(2)

⇒  2x - y = 3  -----(3)

(1) + (3) ⇒  

 x + y = 39

2x - y = 3

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

3x   = 42

x = 42/3 = 14

y = 2x - 3 = 14*2 - 3  = 25

Therefore the age of Ali = 14

Age of Mel = 25

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A motorboat leaves a harbor and travels at an average speed of 15 mph
madam [21]

Answer:

30 miles

Step-by-step explanation:

We know

D = RT

Where

D is the distance

R is the rate

T is the time

<u>Towards Island:</u>

R = 15

Let time be x

So, we can write:

D = 15x

<u>Return from Island:</u>

R = 10

Let time be y

So, we can write:

D = 10y

Also, total time is 5 hours, so we can write:

x + y = 5   [equation 2]

Now, since the distance for both legs of the journey is equal, we can write:

Distance 1 = Distance 2

15x = 10y

Now we replace this equation with equation 2, so we get:

Equation 2: x + y = 5 or x = 5 - y

15x = 10y

15(5 - y) = 10y

75 - 15y = 10y

75 = 25y

y = 75/25

y = 3

Distance 2 = D = 10y

Replacing y with 3, we get:

D = 10y

D = 10(3)

D = 30

So, the distance to island is 30 miles

8 0
3 years ago
Divide. <br> (5x^2+40x+36) / (x+7) <br> The andwer should give the quotient and the remainder.
grin007 [14]
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Hope this helps.
3 0
3 years ago
How many whole numders have the sum of 40
cluponka [151]

Answer:

We start with 0 + 40.

1. 0 + 40

2. 1 + 39

3. 2 + 38

4. 3 + 37

.....

keep going....

.....

19. 18 + 22

20. 19 + 21

21. 20 + 20

There are 21 pairs of whole numbers that have a sum of 40.

Step-by-step explanation:

hope this helps :)

6 0
3 years ago
HELP! Would 5/4 make the scaled factor bigger or smaller
joja [24]

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Step-by-step explanation:

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In triangle JKL, tan(b°) = 3/4 and cos(b°) =4/5. If triangle JKL is dilated by a scale factor of 1/2, what is sin(b°)?
zysi [14]

Answer:

\sin (b^\circ)=\dfrac{3}{5}.

Step-by-step explanation:

It is given that,

\tan (b^\circ)=\dfrac{3}{4}

\cos (b^\circ)=\dfrac{4}{5}

If a figure is dilated, then the image is similar to the figure. It means the corresponding angles of figure and image are congruent.  

So, the value of sin(b°) after dilation is equal to the value of sin(b°) before dilation.

We know that,

\dfrac{\sin \theta}{\cos \theta}=\tan \theta

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\sin (b^\circ)=\dfrac{3}{4}\times \dfrac{4}{5}

\sin (b^\circ)=\dfrac{3}{5}

Therefore, \sin (b^\circ)=\dfrac{3}{5}.

5 0
4 years ago
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