Explanation

To find the number of students per row, divide total students by number of rows: 96 ÷ 6 = 16.

Each row has an equal number of students, so 16 students are in each row.

Explanation

Let's denote the two integers as x and y, where x > y:

Given x - y = 3 and x² + y² = 89.

From x - y = 3, we get x = y + 3.

Substitute x in the second equation:

(y + 3)² + y² = 89

y² + 6y + 9 + y² = 89

2y² + 6y - 80 = 0

y² + 3y - 40 = 0

(y + 8)(y - 5) = 0

y = -8 (not possible since y is positive) or y = 5.

If y = 5, then x = y + 3 = 8.

Check: 8² + 5² = 64 + 25 = 89.

The integers are 8 and 5.

Explanation

Explanation

In a quadratic equation, the highest power of the variable (usually x) is 2, as in the general form ax² + bx + c = 0.

Explanation

0.05 is equivalent to the fraction 1/20 because 0.05 is the same as 5/100, which simplifies to 1/20.

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

To find the fraction that is less than 7/8 and greater than 1/3, we need to compare the given options:

• Convert all fractions to equivalent decimals:

    - 7/8 = 0.875

    - 1/3 = 0.333

    - 17/24 = 0.708

    - 1/4 = 0.25

    - 23/24 = 0.958

    - 11/12 = 0.917

• Identify the fraction that falls between 0.333 and 0.875:

    - 17/24 = 0.708 (this is the only fraction that meets the condition)

So, the correct answer is: 17/24

Explanation

Explanation

7/4 ÷ [77/8 ÷ 30/5 ]

7/4 ÷ [77/8 × 5/30]

= 7/4 ÷ 77/48

= 7/4 × 48/77

= 12/11

Explanation

A triangle is called a right-angled triangle when it has an angle equal to 90 degrees.

Otherwise, it will not be a right-angled triangle.

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all four sides are of equal length (equilateral), and all four angles are right angles. 

A triangle that has no equal sides and no equal angles is known as a Scalene Triangle

while 

if two sides of a triangle are of equal length, then it is called. Isosceles triangle

Sh5-9-2023