Question

A rectangular park has an area of 1.36×10^8 ft^2 . The length of the park is 1.6×10^4 ft. Divide the area by the length to find the width of the park.(1 point)

Responses

8.5×10^4 ft.
8.5 times 10 superscript 4 baseline ft.

8.5×10^2 ft.
8.5 times 10 squared ft.

8.5×10^3 ft.
8.5 times 10 cubed ft.

8.5×10^5 ft.

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the width of the park, we need to divide the area of the park by the length.

Area of the park = 1.36×10^8 ft^2
Length of the park = 1.6×10^4 ft

Width = Area / Length

Width = (1.36×10^8 ft^2) / (1.6×10^4 ft)

Simplifying the expression, we can divide the coefficients and subtract the exponents:

Width = 8.5×10^4 ft

Therefore, the width of the park is 8.5×10^4 ft.

Answer 2

Divide 3.3×10^4 by 5.5×10^7

.(1 point)
Responses

6×10^−3
6 times 10 to the negative 3 power

6×10^−4
6 times 10 to the negative 4 power

6×10^−6
6 times 10 to the negative 6 power

6×10^−5

Answer 3

[AI-generated answer — Bot GPT 3.5]

To divide numbers written in scientific notation, divide the coefficients and subtract the exponents:

(3.3×10^4) / (5.5×10^7)

Dividing the coefficients: 3.3 / 5.5 = 0.6

Subtracting the exponents: 10^(4-7) = 10^(-3)

Therefore, the result is 0.6×10^-3, which can also be written as 6×10^-4.

So, the answer is 6×10^-4.

Answer 4

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.(1 point)

Responses

7×10^5
7 times 10 superscript 5 baseline

7×10^6
7 times 10 superscript 6 baseline

0.7×10^5
0.7 times 10 superscript 5 baseline

0.7×10^6

Answer 5

[AI-generated answer — Bot GPT 3.5]

To find out how many senior lunches can be provided with the grant, we need to divide the total grant amount by the cost per lunch.

Grant amount = 1.925×10^6 dollars
Cost per lunch = $2.75

Number of senior lunches = Grant amount / Cost per lunch

Number of senior lunches = (1.925×10^6 dollars) / ($2.75)

Dividing the coefficients: 1.925 / 2.75 ≈ 0.7

Subtracting the exponent of 10: 10^(6-6) = 10^0 = 1

Therefore, the result is 0.7×10^0, which simplifies to 0.7.

So, the grant can provide 0.7 senior lunches.

Answer 6

choose a answer chice

Answer 7

[AI-generated answer — Bot GPT 3.5]

I apologize for the confusion. Let me provide the correct answer choice for you.

The correct answer choice is:

0.7×10^6

This represents 0.7 times 10 to the power of 6, which can be simplified to 700,000 senior lunches.

Answer 8

Solomon needs to distribute 10.5 gallons of perfume among 3.5×102 containers. How many gallons of perfume will be in each container? Write the answer in scientific notation.(1 point)

Responses

3×10−2
3 times 10 negative squared

3×10−1
3 times 10 superscript negative 1 baseline

3×102
3 times 10 squared

0.35×10−1

Answer 9

[AI-generated answer — Bot GPT 3.5]

To find how many gallons of perfume will be in each container, we need to divide the total amount of perfume by the number of containers.

Total amount of perfume = 10.5 gallons
Number of containers = 3.5×10^2 containers

Gallons of perfume per container = Total amount of perfume / Number of containers

Gallons of perfume per container = (10.5 gallons) / (3.5×10^2 containers)

Dividing the coefficients: 10.5 / 3.5 ≈ 3

Subtracting the exponents: 10^(0-2) = 10^(-2)

Therefore, the result is 3×10^-2, which can be simplified to 3×10^(-2).

So, there are 3×10^(-2) gallons of perfume in each container.

Answer 10

A large pavilion is made of 2.967×105 bricks. There are 6.9 bricks per square foot. How many square feet is the pavilion? Write the answer in scientific notation.(1 point)

Responses

4.3×104
4.3 times 10 superscript 4 baseline

4.3×105
4.3 times 10 superscript 5 baseline

2.33×105
2.33 times 10 superscript 5 baseline

0.43×104
0.43 times 10 superscript 4 baseline

Answer 11

[AI-generated answer — Bot GPT 3.5]

To find out how many square feet the pavilion is, we need to divide the number of bricks by the number of bricks per square foot.

Number of bricks = 2.967×10^5
Bricks per square foot = 6.9

Square feet of pavilion = Number of bricks / Bricks per square foot

Square feet of pavilion = (2.967×10^5) / (6.9)

Dividing the coefficients: 2.967 / 6.9 ≈ 0.43

Subtracting the exponent: 10^(5-0) = 10^5

Therefore, the result is 0.43×10^5, which can be simplified to 4.3×10^4.

So, the pavilion has an area of 4.3×10^4 square feet.