Explanation

Explanation

There are 14 numbers between 1 and 100, which are exactly divisible by 7.

They are 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98.

Sh24-8-2023

Explanation

The statement 3 < 0 is false, since 3 is greater than 0.

Therefore, it's a false sentence, as it has a definite truth value (false).

Explanation

"Percent" means per hundred, so 1% = 1 ÷ 100

It can also be written as a decimal: 0.01.

Explanation

Let's directly calculate:

x - y = 5

x² - y² = 65

(x + y)(x - y) = 65

(x + y)(5) = 65

x + y = 13

Solving these equations:

x - y = 5

x + y = 13

Adding both: 2x = 18

x = 9

y = 4

Let's check:

9 - 4 = 5

9² - 4² = 81 - 16 = 65

Explanation

Explanation

BODMAS stands for: Brackets, Orders (powers/roots), Division, Multiplication, Addition, Subtraction.

Operations must be performed in this order to solve expressions correctly.

Explanation

Convert the mixed fraction to an improper fraction:

3 4/5 = (3 × 5 + 4) / 5 = 19/5

The reciprocal of 19/5 is 5/19.

Explanation

Given the conditions:

a>b

b>c

d>a

We can draw the following relationships:

From a>b and b>c, we know that a>c.

From d>a, we know d>a and, since a>b and a>c, it follows that d>b and d>c.

So, the only valid option is b

Explanation

1000 millimeters = 1 meter. 100 centimeters = 1 meter. 1000 meters = 1 kilometer.