Which statement is true about the relationships between the number sets?(1 point)

Responses

All rational numbers are also integers.
All rational numbers are also integers.

Whole numbers include all natural numbers and 0.
Whole numbers include all natural numbers and 0.

Not all natural numbers are real numbers.
Not all natural numbers are real numbers.

Some irrational numbers are also integers.
Some irrational numbers are also integers.

The statement "Whole numbers include all natural numbers and 0" is true.

Which of the following is true about −9?(1 point)

Responses

It is an integer but not a whole number.
It is an integer but not a whole number.

It is both an integer and a whole number.
It is both an integer and a whole number.

It is a whole number but not an integer.
It is a whole number but not an integer.

It is an integer but not a rational number.
It is an integer but not a rational number.

The statement "It is both an integer and a whole number" is true about -9.

A sign in a gas station advertises gas at the rate of $3.39910 per gallon. How many dollars does a gallon cost, writing the price strictly as a decimal?(1 point)

$

The price of gas per gallon is $3.39910. Thus, a gallon costs $3.39910.

Which set of numbers is always rational?(1 point)

Responses

decimals
decimals

integers
integers

positive numbers
positive numbers

fractions

The height of an equilateral triangle equals 3√2 times the side length. Using 74 for the square root of 3, what is the approximate height in meters of an equilateral triangle with a side length of 8 meters?(1 point)

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The height of an equilateral triangle is given as 3√2 times the side length. Using 74 for the square root of 3, we can substitute these values to find the height.

Height = 3 * √2 * side length

Height ≈ 3 * 74 * 8

Height ≈ 1776 meters

Using a number line, what whole number and rational number to the nearest half is 40−−√ between?(1 point)

40−−√ is between
and

To determine the whole number and rational number to the nearest half that 40-√ falls between, we need to find the whole number and rational number that are closest to 40-√ on a number line.

Let's approximate the value of √2 as 1.41.
So, 40-√2 ≈ 40-1.41 = 38.59.

The whole number and rational number to the nearest half that 38.59 falls between are:
- The whole number would be 38.
- The rational number to the nearest half would be 38.5.