To find the number of feathers needed to make a weight of 4.1×10^3 g, we can divide the desired weight by the weight of a single feather:
Number of feathers = Weight / Weight of a feather
Number of feathers = (4.1×10^3 g) / (0.0082 g)
Number of feathers = 5×10^5
A feather weighs 0.0082 g. How many feathers would you need to make a weight of 4.1×10^3 g? Write the answer in scientific notation.
WHAT IS THE ANSWER PLEASEEEE
17 answers
A rectangular park has an area of 1.36×10^8 ft2 . The length of the park is 1.6×10^4 ft. Divide the area by the length to find the width of the park.
A. 8.5 * 10^2 ft.
B. 8.5 * 10^3 ft.
C. 8.5 * 10^4 ft.
D. 8.5 * 10^5 ft.
A. 8.5 * 10^2 ft.
B. 8.5 * 10^3 ft.
C. 8.5 * 10^4 ft.
D. 8.5 * 10^5 ft.
To find the width of the park, we divide the area by the length:
Width = Area / Length
Width = (1.36×10^8 ft^2) / (1.6×10^4 ft)
To divide numbers in scientific notation, divide the coefficients (1.36 ÷ 1.6) and subtract the exponents (10^8 - 10^4).
1.36 ÷ 1.6 = 0.85
10^8 - 10^4 = 10^4
Therefore, the width of the park is 0.85 * 10^4 ft.
In proper scientific notation, 0.85 * 10^4 can be written as 8.5 * 10^3.
Therefore, the width of the park is 8.5 * 10^3 ft.
The correct answer is B. 8.5 * 10^3 ft.
Width = Area / Length
Width = (1.36×10^8 ft^2) / (1.6×10^4 ft)
To divide numbers in scientific notation, divide the coefficients (1.36 ÷ 1.6) and subtract the exponents (10^8 - 10^4).
1.36 ÷ 1.6 = 0.85
10^8 - 10^4 = 10^4
Therefore, the width of the park is 0.85 * 10^4 ft.
In proper scientific notation, 0.85 * 10^4 can be written as 8.5 * 10^3.
Therefore, the width of the park is 8.5 * 10^3 ft.
The correct answer is B. 8.5 * 10^3 ft.
A city lunch program for seniors received a grant of 1.925×10^6 dollars. Divide that figure by the cost of $2.75 per lunch to find out how many senior lunches the grant can provide. Write the answer in scientific notation.
A. 7*10^6
B. 0.7 * 10^6
C. 7 * 10^5
D. 0.7 * 10^5
A. 7*10^6
B. 0.7 * 10^6
C. 7 * 10^5
D. 0.7 * 10^5
To find out how many senior lunches the grant can provide, we divide the total grant amount by the cost per lunch:
Number of senior lunches = Total grant amount / Cost per lunch
Number of senior lunches = (1.925×10^6 dollars) / ($2.75 per lunch)
To divide numbers in scientific notation, divide the coefficients (1.925 ÷ 2.75) and subtract the exponents (10^6 - 0).
1.925 ÷ 2.75 ≈ 0.7
10^6 - 0 = 10^6
Therefore, the number of senior lunches that the grant can provide is approximately 0.7 * 10^6.
In proper scientific notation, 0.7 * 10^6 can be written as 7 * 10^5.
Therefore, the grant can provide 7 * 10^5 senior lunches.
The correct answer is C. 7 * 10^5.
Number of senior lunches = Total grant amount / Cost per lunch
Number of senior lunches = (1.925×10^6 dollars) / ($2.75 per lunch)
To divide numbers in scientific notation, divide the coefficients (1.925 ÷ 2.75) and subtract the exponents (10^6 - 0).
1.925 ÷ 2.75 ≈ 0.7
10^6 - 0 = 10^6
Therefore, the number of senior lunches that the grant can provide is approximately 0.7 * 10^6.
In proper scientific notation, 0.7 * 10^6 can be written as 7 * 10^5.
Therefore, the grant can provide 7 * 10^5 senior lunches.
The correct answer is C. 7 * 10^5.
Solomon needs to distribute 10.5 gallons of perfume among 3.5×10^2 containers. How many gallons of perfume will be in each container? Write the answer in scientific notation.
A. 3 * 10^-2
B. 3 * 10^2
C. 0.35 * 10^-1
D. 3 * 10^-1
A. 3 * 10^-2
B. 3 * 10^2
C. 0.35 * 10^-1
D. 3 * 10^-1
To find out how many gallons of perfume will be in each container, we divide the total amount of perfume by the number of containers:
Amount of perfume per container = Total amount of perfume / Number of containers
Amount of perfume per container = 10.5 gallons / (3.5×10^2 containers)
To divide numbers in scientific notation, divide the coefficients (10.5 ÷ 3.5) and subtract the exponents (10^0 - 10^2).
10.5 ÷ 3.5 = 3
10^0 - 10^2 = 10^0 - 10^2 = 1 - 100 = -99
Therefore, the amount of perfume per container is 3 * 10^-99 gallons.
However, we typically write the answer in proper scientific notation, which means the coefficient should be between 1 and 10.
3 * 10^-99 can be rewritten as 3 * 10^-2 * 10^-97 ≈ 3 * 10^-2.
Therefore, there will be approximately 3 * 10^-2 gallons of perfume in each container.
The correct answer is A. 3 * 10^-2.
Amount of perfume per container = Total amount of perfume / Number of containers
Amount of perfume per container = 10.5 gallons / (3.5×10^2 containers)
To divide numbers in scientific notation, divide the coefficients (10.5 ÷ 3.5) and subtract the exponents (10^0 - 10^2).
10.5 ÷ 3.5 = 3
10^0 - 10^2 = 10^0 - 10^2 = 1 - 100 = -99
Therefore, the amount of perfume per container is 3 * 10^-99 gallons.
However, we typically write the answer in proper scientific notation, which means the coefficient should be between 1 and 10.
3 * 10^-99 can be rewritten as 3 * 10^-2 * 10^-97 ≈ 3 * 10^-2.
Therefore, there will be approximately 3 * 10^-2 gallons of perfume in each container.
The correct answer is A. 3 * 10^-2.
A large pavilion is made of 2.967×10^5 bricks. There are 6.9 bricks per square foot. How many square feet is the pavilion? Write the answer in scientific notation.
To find out how many square feet the pavilion is, we divide the total number of bricks by the number of bricks per square foot:
Square footage of pavilion = Total number of bricks / Number of bricks per square foot
Square footage of pavilion = (2.967×10^5 bricks) / (6.9 bricks per square foot)
To divide numbers in scientific notation, divide the coefficients (2.967 ÷ 6.9) and subtract the exponents (10^5 - 0).
2.967 ÷ 6.9 ≈ 0.43
10^5 - 0 = 10^5
Therefore, the square footage of the pavilion is approximately 0.43 * 10^5 square feet.
In proper scientific notation, 0.43 * 10^5 can be written as 4.3 * 10^4.
Therefore, the pavilion is approximately 4.3 * 10^4 square feet.
The correct answer is 4.3 * 10^4.
Square footage of pavilion = Total number of bricks / Number of bricks per square foot
Square footage of pavilion = (2.967×10^5 bricks) / (6.9 bricks per square foot)
To divide numbers in scientific notation, divide the coefficients (2.967 ÷ 6.9) and subtract the exponents (10^5 - 0).
2.967 ÷ 6.9 ≈ 0.43
10^5 - 0 = 10^5
Therefore, the square footage of the pavilion is approximately 0.43 * 10^5 square feet.
In proper scientific notation, 0.43 * 10^5 can be written as 4.3 * 10^4.
Therefore, the pavilion is approximately 4.3 * 10^4 square feet.
The correct answer is 4.3 * 10^4.
Divide 3.3 * 10^4 by 5.5 * 10^7
A. 6 * 10^-6
B. 6 * 10^-4
C. 6 * 10^-3
D. 6 * 10^-5
A. 6 * 10^-6
B. 6 * 10^-4
C. 6 * 10^-3
D. 6 * 10^-5
To divide numbers in scientific notation, we divide the coefficients and subtract the exponents.
(3.3 * 10^4) / (5.5 * 10^7)
Dividing the coefficients, we get: 3.3 / 5.5 = 0.6
Then, subtracting the exponents, we get: 10^4 - 10^7 = 10^4 - 10^4 * 10^3 = 10^4 (1 - 10^3) = 10^4 * (1 - 1000) = 10^4 * -999 = -999 * 10^4
Therefore, the result is approximately -999 * 10^4.
In proper scientific notation, we can write -999 * 10^4 as -9.99 * 10^6.
The correct answer is D. -9.99 * 10^6.
(3.3 * 10^4) / (5.5 * 10^7)
Dividing the coefficients, we get: 3.3 / 5.5 = 0.6
Then, subtracting the exponents, we get: 10^4 - 10^7 = 10^4 - 10^4 * 10^3 = 10^4 (1 - 10^3) = 10^4 * (1 - 1000) = 10^4 * -999 = -999 * 10^4
Therefore, the result is approximately -999 * 10^4.
In proper scientific notation, we can write -999 * 10^4 as -9.99 * 10^6.
The correct answer is D. -9.99 * 10^6.
that is not in the answers-
I apologize for the mistake. Let's try the division again:
To divide 3.3 * 10^4 by 5.5 * 10^7, we divide the coefficients and subtract the exponents:
(3.3 * 10^4) / (5.5 * 10^7)
Dividing the coefficients, we get: 3.3 / 5.5 = 0.6
Subtracting the exponents, we get: 10^4 - 10^7 = 10^4 - 10^7 = 10^(-7 - 4) = 10^-11
Therefore, the result is approximately 0.6 * 10^-11.
The correct answer is not among the provided options.
To divide 3.3 * 10^4 by 5.5 * 10^7, we divide the coefficients and subtract the exponents:
(3.3 * 10^4) / (5.5 * 10^7)
Dividing the coefficients, we get: 3.3 / 5.5 = 0.6
Subtracting the exponents, we get: 10^4 - 10^7 = 10^4 - 10^7 = 10^(-7 - 4) = 10^-11
Therefore, the result is approximately 0.6 * 10^-11.
The correct answer is not among the provided options.
6 * 10^-11 is not the answer
I apologize for the mistake. Let's try the division again:
To divide 3.3 * 10^4 by 5.5 * 10^7, we divide the coefficients and subtract the exponents:
(3.3 / 5.5) * (10^4 / 10^7)
Simplifying the coefficients, we get: 3.3 / 5.5 = 0.6
Subtracting the exponents, we get: 10^4 - 10^7 = 10^(4-7) = 10^-3
Therefore, the result is approximately 0.6 * 10^-3.
In proper scientific notation, we can write 0.6 * 10^-3 as 6 * 10^-4.
The correct answer is B. 6 * 10^-4. I apologize for the confusion in the previous responses.
To divide 3.3 * 10^4 by 5.5 * 10^7, we divide the coefficients and subtract the exponents:
(3.3 / 5.5) * (10^4 / 10^7)
Simplifying the coefficients, we get: 3.3 / 5.5 = 0.6
Subtracting the exponents, we get: 10^4 - 10^7 = 10^(4-7) = 10^-3
Therefore, the result is approximately 0.6 * 10^-3.
In proper scientific notation, we can write 0.6 * 10^-3 as 6 * 10^-4.
The correct answer is B. 6 * 10^-4. I apologize for the confusion in the previous responses.
Answers are...
B. 8.5 * 10^3 ft.
B. 6 * 10^-4
C. 7 * 10^5
A. 3 * 10^-2
C. 4.3 * 10^4
B. 8.5 * 10^3 ft.
B. 6 * 10^-4
C. 7 * 10^5
A. 3 * 10^-2
C. 4.3 * 10^4
I apologize for the errors in the previous responses. Thank you for providing the correct answers:
For the width of the park: The correct answer is B. 8.5 * 10^3 ft.
For the number of lunches the grant can provide: The correct answer is C. 7 * 10^5.
For the gallons of perfume per container: The correct answer is A. 3 * 10^-2.
For the square footage of the pavilion: The correct answer is C. 4.3 * 10^4.
I apologize for any confusion caused by the incorrect answers provided earlier. Thank you for bringing it to my attention.
For the width of the park: The correct answer is B. 8.5 * 10^3 ft.
For the number of lunches the grant can provide: The correct answer is C. 7 * 10^5.
For the gallons of perfume per container: The correct answer is A. 3 * 10^-2.
For the square footage of the pavilion: The correct answer is C. 4.3 * 10^4.
I apologize for any confusion caused by the incorrect answers provided earlier. Thank you for bringing it to my attention.
1 answer