Explanation

To compare the ratios, we can convert them to fractions and then decimals:

7:15 = 0.4667

15:23 = 0.6522

21:29 = 0.7241

The largest ratio is 21:29.

Explanation

729 = 27 × 27

√729 = √(27 × 27)

√729 = 27

Explanation

x + y = 30 ... (Equation 1)

x - y = 8 ... (Equation 2)

We can solve these equations by adding them together, which eliminates y:

2x = 38

Dividing both sides by 2 gives us:

x = 19

Now that we have x, we can find y by substituting x into Equation 1:

19 + y = 30

Subtracting 19 from both sides gives us:

y = 11

Now that we have both x and y, we can find their product:

Product = x * y

= 19 * 11

= 209

Explanation

The angle sum of a triangle will always be equal to 180°.

The angle sum of a quadrilateral is equal to 360°

And a triangle can be created by slicing a quadrilateral in half from corner to corner. Since a triangle is essentially half of a quadrilateral

Its angle measures should be half as well. Half of 360° is 180°

Explanation

1 km = 0.62137119 miles

0.62137119 miles ∼ 0.62 miles

∴ 1 km = 0.62 miles

Additional Information

Miles to Kilometres = Miles × 8/5 (Approximately)

Kilometers to Miles = Km × 5/8 (Approximately)

Explanation

Average is equal to sum of all numbers and divided by Total numbers

= 9+18+27+36+45 = 135/5

=27

Explanation

2 ×  2 = 4

4 ×  2 = 8

8 ×  2 = 16

16 ×  2 = 32

Explanation

(60/100) * X + 120 = X

2X = 600

X = 300

Explanation

1. Convert all fractions to a common denominator (8):

   • $\frac{3}{4}=\frac{6}{8}$

   • $\frac{5}{8}=\frac{5}{8}$

   • $\frac{1}{2}=\frac{4}{8}$

2. Perform the calculation:

   • $\frac{6}{8}+\frac{5}{8}-\frac{4}{8}=\frac{7}{8}$

3. Convert $\frac{7}{8}$ to decimal:

   • $\frac{7}{8}=0.875\approx 0.87$

Explanation