Explanation

For 4 numbers to average 0.6, the sum of the numbers must equal 4(0.6)=2.4

1.0+0.8+0.2+x=2.4

2.0+x=2.4

x=0.4

Explanation

Step-by-step explanation:

Let the number of days be x , then

As it is an inverse variation

6×16=8×x

(6×16)÷8=x (by transposing 8)

=12

Explanation

Explanation:

= P × P × P / P × P × P -3 

= -3 -3 -3 / -3 -3 -3

= -9 / -3 -3 -3

= -3

Explanation

Explanation

percentage of 14 of 24 is 58%

...

Explanation:

1. 4 of 24 can be written as:
   1424
2. To find a percentage, we need to find an equivalent fraction with the denominator 100. Multiply both numerator & denominator by 100
   
   1424 × 100100
3. = (14 × 10024) × 1100 = 58.33100
4. Therefore, the answer is 58.33%

   If you are using a calculator,

   simply enter 14÷24×100 which will give you 58.33 as the answer.

Explanation

2km East and 2km West brought you back on a straight line North-South.

Driving direction: 6km South + 4km South = 10km

Explanation

4 = 4

1 = x

Therefore, 4 * 1/4 = x

4/4 = x

1 = x

ND16-8-2023

Explanation

Explanation:

We can write 10% as 10/100

Simplifying the fraction 10/100, we get 1/10 which is equal to decimal number 0.1

Thus, 10% as a decimal form is given as 0.1

Explanation

Solution :

If x= 2, y = 3, z = 4 then

$3x^2-4y^2+2z^2$

=$3(2)^2-4(3)^2+2(4)^2$

=$\left(3\times4\right)-\left(4\times9\right)+\left(2\times16\right)$

=$12-36+32$

=$44-36$

=$8$

∴ $3x^2-4y^2+2z^2=8$

Explanation

After removing the brackets, we simplify the expression according to the order of operations (BODMAS rule).

Solution (in points):

• First, remove brackets using proper signs (distributive law if needed).
• Then follow BODMAS:
  • B – Brackets
  • O – Orders (powers/roots)
  • D – Division
  • M – Multiplication
  • A – Addition
  • S – Subtraction
• Perform division and multiplication from left to right.
• Then perform addition and subtraction from left to right.