Explanation

Given that two numbers are in the ratio of 6:7 and their sum is -52, we can determine the numbers as follows:

 let the two numbers be 6x and 7x.

The sum of these numbers should be -52:

6x + 7x = -52

13x = -52

Solving for x:

x = -52/13

x = -4

Therefore, the two numbers are 6x and 7x:

6 (-4) = -24

7 (-4) = -28

The numbers in the ratio 6:-7 that sum up to -52 are -24 and -28.

Explanation

To find the fraction of green marbles, we need to calculate the total number of marbles first.

Sara has:

- 5 red marbles

- 3 green marbles

- 2 blue marbles

Total marbles = 5 (red) + 3 (green) + 2 (blue) = 10 marbles

Next, we determine the fraction of green marbles out of the total marbles:

Fraction of green marbles = Number of green marbles / Total number of marbles

Fraction of green marbles = 3 / 10

Explanation

Explanation

Let the amount be divided into 7x,4x,3x and 2x.

7x-2x = 500 5x=500 x = 100

Total amount = 7x+4x+3x+2x = 16x = Rs.1600

Explanation

Let the required number of men be $x$.

As number of men [M] will increase, the number of days [D] to finish a work will be less.
Hence, it is a case of inverse proportion.
$\Rightarrow MD=constant$
$\Rightarrow M_1{D}_1=M_2{D}_2$

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$\Rightarrow 15\times 12=x\times 6$
$\Rightarrow x=\frac{15\times 12}{6}=30$

Therefore, the required number of men to finish the work in 30 days is $30$ men.

Explanation

A perfect square is a number that can be expressed as the product of an integer multiplied by itself.

Out of the given options:

18 is not a perfect square because it cannot be expressed as the product of an integer multiplied by itself.

27 is not a perfect square because it cannot be expressed as the product of an integer multiplied by itself.

30 is not a perfect square because it cannot be expressed as the product of an integer multiplied by itself.

36 is a perfect square because it can be expressed as 6×6=36, where 6 is an integer.

Explanation

If 8 men eat 16 mangoes in 15 minutes, it means each man eats 16/8 = 2 mangoes in 15 minutes.

So, in 30 minutes, each man will eat 2×2 = 4 mangoes.

Therefore, if there are 16 men eating for 30 minutes, they will eat 16×4 = 64 mangoes.

Explanation

Correct Answer: A) 5 and 8

Explanation

To find 1.03^10 rounded to two decimal places:

1.03^10 ≈ 1.34408708

1.03^10 ≈ 1.34408708

Rounded to two decimal places, it becomes 1.34.

Explanation