Which statement is true about the relationships between the number sets?(1 point)
Responses
Whole numbers include all natural numbers and 0.
Not all natural numbers are real numbers.
All rational numbers are also integers.
Some irrational numbers are also integers.
9 answers
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 both an integer and a whole number.
It is a whole number but not an integer.
It is an integer but not a whole number.
It is an integer but not a rational number.
Responses
It is both an integer and a whole number.
It is a whole number but not an integer.
It is an integer but not a whole 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 $3.39 9 over 10 per gallon. How many dollars does a gallon cost, writing the price strictly as a decimal?
To write the price strictly as a decimal, we need to remove the fraction. To do so, we divide 9 by 10: $$\frac{9}{10} = 0.9$$
The gas is advertised at the rate of $3.39 + 0.9 per gallon.
To find the total cost, we add the whole dollar amount with the decimal amount: $$3.39 + 0.9 = 4.29$$
Therefore, a gallon of gas costs $4.29 when written strictly as a decimal.
The gas is advertised at the rate of $3.39 + 0.9 per gallon.
To find the total cost, we add the whole dollar amount with the decimal amount: $$3.39 + 0.9 = 4.29$$
Therefore, a gallon of gas costs $4.29 when written strictly as a decimal.
Which set of numbers is always rational?(1 point)
Responses
decimals
integers
fractions
positive numbers
Responses
decimals
integers
fractions
positive numbers
The set of numbers that is always rational is fractions.
The height of an equilateral triangle equals √3 over 2 times the side length. Using 7 over 4 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)
To find the approximate height of the equilateral triangle, we can substitute the given values into the formula.
Height of an equilateral triangle = (√3/2) * side length
Substituting √3 = 7/4 and side length = 8:
Height = (7/4) * 8/2
= 7 * 8 / 4 * 2
= 56 / 8
= 7
Therefore, the approximate height of an equilateral triangle with a side length of 8 meters is 7 meters.
Height of an equilateral triangle = (√3/2) * side length
Substituting √3 = 7/4 and side length = 8:
Height = (7/4) * 8/2
= 7 * 8 / 4 * 2
= 56 / 8
= 7
Therefore, the approximate height of an equilateral triangle with a side length of 8 meters is 7 meters.
1 answer