Which describes all decimals that are rational numbers?
The decimal repeats and does not terminate.
The decimal terminates or repeats.
The decimal terminates and does not repeat.
The decimal neither terminates nor repeats.
11 answers
The decimal terminates or repeats.
-5 1/2 + 6 3/4 + (-4 1/4)
To solve this problem, we first need to convert all mixed numbers to improper fractions:
-5 1/2 = -11/2
6 3/4 = 27/4
-4 1/4 = -17/4
Now we can add the fractions:
-11/2 + 27/4 - 17/4
To add fractions, they need to have a common denominator, which in this case is 4.
-11/2 = -22/4
27/4 remains the same
-17/4 remains the same
Now we can add the fractions:
-22/4 + 27/4 - 17/4 = -12/4 = -3
Therefore, -5 1/2 + 6 3/4 + (-4 1/4) = -3.
-5 1/2 = -11/2
6 3/4 = 27/4
-4 1/4 = -17/4
Now we can add the fractions:
-11/2 + 27/4 - 17/4
To add fractions, they need to have a common denominator, which in this case is 4.
-11/2 = -22/4
27/4 remains the same
-17/4 remains the same
Now we can add the fractions:
-22/4 + 27/4 - 17/4 = -12/4 = -3
Therefore, -5 1/2 + 6 3/4 + (-4 1/4) = -3.
Simplify
(a^2b^4c)^3
(a^2b^4c)^3
To simplify the expression (a^2b^4c)^3, you need to raise each term inside the parenthesis to the power of 3.
(a^2)^3 * (b^4)^3 * c^3
Now, simplify the terms:
(a^6) * (b^12) * c^3
Therefore, the simplified expression is a^6 * b^12 * c^3.
(a^2)^3 * (b^4)^3 * c^3
Now, simplify the terms:
(a^6) * (b^12) * c^3
Therefore, the simplified expression is a^6 * b^12 * c^3.
Voyager 1 is a space probe exploring interstellar space, the region between the stars.
About how many hours does it take, Voyager 1 to travel 14,200,000,000 miles if it travels at a constant rate of 38,000 miles per hour?
3.74 x 10^7
2.68 x 10^6
3.74 x 10^6
2.68 x 10^14
About how many hours does it take, Voyager 1 to travel 14,200,000,000 miles if it travels at a constant rate of 38,000 miles per hour?
3.74 x 10^7
2.68 x 10^6
3.74 x 10^6
2.68 x 10^14
To calculate the time it takes for Voyager 1 to travel 14,200,000,000 miles at a constant rate of 38,000 miles per hour, we can use the formula:
Time = Distance / Speed
Substitute the values into the formula:
Time = 14,200,000,000 / 38,000
Time = 373684.2105 hours
Now, we can express 373,684.2105 in scientific notation:
373,684.2105 = 3.736842105 x 10^5
Therefore, the correct option is 3.74 x 10^7.
Time = Distance / Speed
Substitute the values into the formula:
Time = 14,200,000,000 / 38,000
Time = 373684.2105 hours
Now, we can express 373,684.2105 in scientific notation:
373,684.2105 = 3.736842105 x 10^5
Therefore, the correct option is 3.74 x 10^7.
What is equivalent to -(7/8)
-7/-8
-(7/-8)
-(-7/8)
-7/8
-7/-8
-(7/-8)
-(-7/8)
-7/8
To find the equivalent of -(7/8), you keep the negative sign with the fraction.
So, -(7/8) = -(7/8).
Therefore, the equivalent is -(7/8).
So, -(7/8) = -(7/8).
Therefore, the equivalent is -(7/8).
You have to choose from the choices I gave you
In that case, the equivalent to -(7/8) from the choices you provided is -(-7/8).
1 answer