Explanation

To find the percent decrease:

Original temperature = 88°F

New temperature = 77°F

Decrease = 88 - 77 = 11°F

Percent decrease = (Decrease / Original temperature) × 100

= (11 / 88) × 100

= 12.5%

Explanation

Let's break it down:

Total amount = Rs. 2400

Nida's share = Rs. 600

Remaining amount = Rs. 2400 - Rs. 600 = Rs. 1800

Nadia and Amara share the remaining amount in the ratio 4:5.

Let's divide Rs. 1800 in the ratio 4:5:

Total parts = 4 + 5 = 9

Amara's share = (5/9) × Rs. 1800

= Rs. 1000

Explanation

To find the size of the class interval:

Size = (Greatest value - Lowest value) / Number of intervals

= (21 - 3) / 3

= 18 / 3

= 6

Explanation

Using the formula for the sum of interior angles of a polygon:

(n - 2) × 180°

For a quadrilateral, n = 4:

(4 - 2) × 180°

= 2 × 180°

= 360°

The sum of the interior angles of a quadrilateral is 360°.

Explanation

The difference between +16 and +28 is:

+16 - (+28) = +16 - 28 = -12

Explanation

The set includes positive integers greater than 2 and less than or equal to 6:

The integers that fit this condition are 3, 4, 5, and 6.

Explanation

Let's simplify the expression:

√3 × √5 × √15

= √(3 × 5 × 15)

= √(225)

= 15

Explanation

In the Cartesian coordinate system:

• 1st quadrant: (+, +)
• 2nd quadrant: (-, +)
• 3rd quadrant: (-, -)
• 4th quadrant: (+, -)

Given point P(-4, -7):

Both x (-4) and y (-7) coordinates are negative.

This point lies in the 3rd quadrant.

Explanation

Given:

a = 2

b = 3

c = 1

Let's calculate the expression:

a² + 3c + 4ab²

= (2)² + 3(1) + 4(2)(3)²

= 4 + 3 + 4(2)(9)

= 4 + 3 + 72

= 79

Explanation

Given the expression:

[(2/13)⁶ + (2/13)³]³ × (2/13)^-⁹

Let's simplify:

= [(2/13)³((2/13)³ + 1)]³ × (2/13)^-⁹

= (2/13)⁹[(2/13)³ + 1]³ × (2/13)^-⁹

The (2/13)⁹ and (2/13)^-⁹ cancel out:

= [(2/13)³ + 1]³

Given the result is 1, let's assume:

[(2/13)³ + 1]³ = 1