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3 years ago

Mel is 3 years older than Rahfat and Aurelio is twice as old as Mel. The sum of their ages is 57. How old is Mel.

2 answers:

7 0

<span>Mel is 3 years older than Rahfat and Aurelio is twice as old as Mel. The sum of their ages is 57. How old is Mel.
</span>
M=15

julia-pushkina [17]3 years ago

3 0

Mel's Age = xRahfat's Age = x-3Aurelio's Age = 2x 2x + x +x -3 = 574x -3 = 574x = 60x = 15So Mel's age is 15.Hope this helps! :D

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Find the smallest positive integer k such that 3240/k is a square number

sashaice [31]

Answer:

Step-by-step explanation:

First, factorize the number 3,240:

$3,240=2\cdot 1,620=2\cdot 2\cdot 810=2\cdot 2\cdot 2\cdot 405=2\cdot 2\cdot 2\cdot 2\cdot 5\cdot 81=2^3\cdot 5\cdot 9^2$

So,

$3,240=2^2 \cdot 2\cdot 5\cdot 9^2=18^2\cdot 10$

Now consider the fraction

$\dfrac{3,240}{k}=\dfrac{18^2\cdot 10}{k}$

If k = 10, then

$\dfrac{3,240}{k}=\dfrac{18^2\cdot 10}{10}=18^2$

is a square number.

For all k < 10, the fraction tex]\dfrac{3,240}{k}[/tex] is not a square number (this follows from factorization).

Or you can simply check the values of the fraction for all k < 10:

k = 1, $\dfrac{3,240}{1}=3,240$ is not a square number;
k = 2, $\dfrac{3,240}{2}=1,620$ is not a square number;
k = 3, $\dfrac{3,240}{3}=1,080$ is not a square number;
k = 4, $\dfrac{3,240}{4}=810$ is not a square number;
k = 5, $\dfrac{3,240}{5}=648$ is not a square number;
k = 6, $\dfrac{3,240}{6}=540$ is not a square number;
k = 7, $\dfrac{3,240}{7}$ is not a square number;
k = 8, $\dfrac{3,240}{8}=405$ is not a square number;
k = 9, $\dfrac{3,240}{9}=360$ is not a square number.

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3 years ago

Which expressions are equivalent? <br> need done asap .

Mashutka [201]

Answer:

1st one

Step-by-step explanation:

it is just rearranged
Remember that when there is no sign in front of the first one, there is an invisible plus/positive sign

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-1.6 > b + 4.4 ( - - cancels to become a +)

move 4.4 to left by subtracting 4.4 from both sides

-1.6 - 4.4 > b + 4.4 - 4.4 =

-6.0 > b + 0 =

-6.0 > b

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