1. A certain ceiling is made up of tiles. Every square meter of ceiling requires 10.75 tiles.

762,508 expressed in expanded form with exponents is:

Solution:

We need to write 762,508 using expanded notation with exponents.

Expanded form indicates how to represent numbers to highlight the individual digit values.

Displaying 762508 in Expanded format

Let's determine the positional values of each digit:

The concept of place value signifies the worth assigned to each digit based on its location.

For 7, the place value is 700,000

In 762508, the digit 7 is located in the hundred-thousands position.

For 6, the place value is 60,000

In 762508, the digit 6 occupies the ten-thousands position.

For 2, the place value is 2,000

In 762508, 2 is in the thousands position.

For 5, the place value is 500

In 762508, 5 is placed in the hundreds position.

For 0, the place value is 0 x 10 = 0

In 762508, 0 is found in the tens position.

For 8, the place value is 8

In 762508, 8 is positioned in the units place.

Thus, the expanded form is:

700,000 + 60,000 + 2,000 + 500 + 0 + 8

Expressed with exponents, it can be written as:

Answer-  A,D,E

Step-by-step explanation:

A table featuring two columns with 5 rows. The first column, labeled x, contains the values: -2, 0, 2, 4. The second column, labeled y, includes the values: 6, 3.5, 1, -1.5.

Which equations correspond to the data shown in the table? Select all that apply.

y – 6 = -5/4(x + 2)

y – 2 = -5/4(x - 1)

y + 2 = -5/4(x - 6)

y – 1 = -5/4(x - 2)

y – 3.5 = -1.25x

This is just rewording the question

Reducing

9x + -31 = 43

Rearranging the components:

-31 + 9x = 43

Finding the solution

-31 + 9x = 43

Isolating the variable 'x'.

Shift all terms with x to one side,

Add '31' to both sides of the equation.

0 + 31 + 9x = 43 + 31

Summing up similar items:

-31 + 31 = 0

0 + 9x = 43 + 31

9x = 43 + 31

Summing similar items:

43 + 31 = 74

9x = 74

Split each side by '9'

x = 8.222222222

Simplifying

x = 8.222222222