Which of the following is true about -9?(1 point)
It is a whole number but not an integer.
It is an integer but not a whole number.
It is both an integer and a whole number.
It is an integer but not a rational number.
15 answers
It is both an integer and a whole number.
A sign in a gas station advertises gas at the rate of $3.39 9/10 per gallon. How many dollars does a gallon cost, writing the price strictly as a decimal?(1 point)
The price of gas is $3.39 9/10 per gallon.
To convert this mixed number into decimal form, we add the whole number part to the decimal part:
3 + (9/10) = 3.9
So, a gallon of gas costs $3.9.
To convert this mixed number into decimal form, we add the whole number part to the decimal part:
3 + (9/10) = 3.9
So, a gallon of gas costs $3.9.
whats 1/10 of 3.39
To find 1/10 of 3.39, you divide 3.39 by 10:
3.39 ÷ 10 = 0.339
Therefore, 1/10 of 3.39 is equal to 0.339.
3.39 ÷ 10 = 0.339
Therefore, 1/10 of 3.39 is equal to 0.339.
0.339+3.39
To add 0.339 and 3.39, you align the decimal points and then add the numbers:
0.339
+ 3.390
-----------
3.729
Therefore, 0.339 + 3.39 equals 3.729.
0.339
+ 3.390
-----------
3.729
Therefore, 0.339 + 3.39 equals 3.729.
What is a rational number with a denominator of 7 that is between 7–√ and 8–√? Write your answer as an improper fraction. (1 point)
To find a rational number between 7-√ and 8-√ with a denominator of 7, we need to determine the numerator.
7-√ is equivalent to (7/1) - (√/1).
8-√ is equivalent to (8/1) - (√/1).
To find a rational number between these two, we need to find a rational number with a square root term that falls between sqrt(7) and sqrt(8). We can simplify the problem by finding the square roots of 7 and 8:
sqrt(7) ≈ 2.646
sqrt(8) ≈ 2.828
The rational number with a denominator of 7 that fits between these two is 3/7. Hence, the answer is:
3/7
7-√ is equivalent to (7/1) - (√/1).
8-√ is equivalent to (8/1) - (√/1).
To find a rational number between these two, we need to find a rational number with a square root term that falls between sqrt(7) and sqrt(8). We can simplify the problem by finding the square roots of 7 and 8:
sqrt(7) ≈ 2.646
sqrt(8) ≈ 2.828
The rational number with a denominator of 7 that fits between these two is 3/7. Hence, the answer is:
3/7
try again
To find a rational number between 7-√ and 8-√ with a denominator of 7, we need to determine the numerator.
Let's simplify 7-√ and 8-√:
7-√ = 7 - √1 = 7 - 1√1 = 7 - √1 = 7 - 1 = 6
8-√ = 8 - √1 = 8 - 1√1 = 8 - √1 = 8 - 1 = 7
Therefore, the rational number between 7-√ and 8-√ with a denominator of 7 is 6/7.
Let's simplify 7-√ and 8-√:
7-√ = 7 - √1 = 7 - 1√1 = 7 - √1 = 7 - 1 = 6
8-√ = 8 - √1 = 8 - 1√1 = 8 - √1 = 8 - 1 = 7
Therefore, the rational number between 7-√ and 8-√ with a denominator of 7 is 6/7.
What is a rational number with a denominator of 7 that is between 7–√ and 8–√
To find a rational number between 7-√ and 8-√ with a denominator of 7, we need to determine the numerator.
7-√ is equivalent to (7/1) - (√/1).
8-√ is equivalent to (8/1) - (√/1).
To find a rational number between these two, we can take the average (mean) of the two numbers.
Let's calculate the average:
[(7/1) - (√/1) + (8/1) - (√/1)] / 2
= [(7+8)/1 - (√ + √)/1] / 2
= (15/1 - 2√1) / 2
= (15/1 - 2√1) / 2
The denominator remains 7, so the rational number between 7-√ and 8-√ with a denominator of 7 is:
(15/2) / 7
= 15/14
Therefore, the answer is 15/14.
7-√ is equivalent to (7/1) - (√/1).
8-√ is equivalent to (8/1) - (√/1).
To find a rational number between these two, we can take the average (mean) of the two numbers.
Let's calculate the average:
[(7/1) - (√/1) + (8/1) - (√/1)] / 2
= [(7+8)/1 - (√ + √)/1] / 2
= (15/1 - 2√1) / 2
= (15/1 - 2√1) / 2
The denominator remains 7, so the rational number between 7-√ and 8-√ with a denominator of 7 is:
(15/2) / 7
= 15/14
Therefore, the answer is 15/14.
Convert 0.72¯¯¯¯¯ to a rational number in simplest form.
To convert the repeating decimal 0.72¯¯¯¯¯ to a rational number in simplest form, we can use the concept of a repeating decimal as a fraction.
Let x = 0.72¯¯¯¯¯
Multiply both sides by 100 (10^2) to remove the repeating decimal:
100x = 72.72¯¯¯¯¯
Subtract the original equation from the new equation:
100x - x = 72.72¯¯¯¯¯ - 0.72¯¯¯¯¯
99x = 72
Divide both sides by 99:
x = 72/99
To simplify the fraction, we can find the greatest common divisor (GCD) of 72 and 99, which is 9:
(72/9) / (99/9) = 8/11
Therefore, 0.72¯¯¯¯¯ is equal to 8/11 in simplest form.
Let x = 0.72¯¯¯¯¯
Multiply both sides by 100 (10^2) to remove the repeating decimal:
100x = 72.72¯¯¯¯¯
Subtract the original equation from the new equation:
100x - x = 72.72¯¯¯¯¯ - 0.72¯¯¯¯¯
99x = 72
Divide both sides by 99:
x = 72/99
To simplify the fraction, we can find the greatest common divisor (GCD) of 72 and 99, which is 9:
(72/9) / (99/9) = 8/11
Therefore, 0.72¯¯¯¯¯ is equal to 8/11 in simplest form.