A rectangular park has an area of 1.36×108 ft2. The length of the park is 1.6×104 ft. Divide the area by the length to find the width of the park.(

3/5 5 with bot answers are

8.5 times 10^3
6 times 10^-4
7 times 10^5
3 times 10^-2
4.3 times 10^4
hope that helps ;)

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

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

Width = Area / Length
Width = 1.36×10^8 ft^2 ÷ 1.6×10^4 ft

To divide the numbers in scientific notation, we subtract the exponents of 10 and divide the coefficients:

Width = (1.36 ÷ 1.6) × 10^(8-4)
Width = 0.85 × 10^4

Therefore, the width of the park is 8.5×10^3 ft or 8,500 ft.

thx 100%

Divide 3.3×10^4 by 5.5×10^7

Divide 3.3×104 by 5.5×107

.(1 point)
Responses

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

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

6×10−5
6 times 10 to the negative 5 power

6×10−6

To divide 3.3×10^4 by 5.5×10^7, we can divide their coefficients and subtract their exponents of 10:

(3.3×10^4) ÷ (5.5×10^7) = (3.3 ÷ 5.5) × 10^(4-7) = 0.6 × 10^(-3)

Therefore, the answer is 6×10^(-3), which means 6 times 10 to the negative 3 power.

A city lunch program for seniors received a grant of 1.925×106 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

0.7×106
0.7 times 10 superscript 6 baseline

0.7×105
0.7 times 10 superscript 5 baseline

7×105
7 times 10 superscript 5 baseline

7×106

To find out how many senior lunches the grant can provide, we need to divide the 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

To divide the grant amount by the cost per lunch, we divide the coefficients and subtract the exponents of 10:

Number of senior lunches = (1.925 ÷ 2.75) × 10^(6-0) = 0.7 × 10^6

Therefore, the grant can provide 0.7×10^6 senior lunches.

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

0.35×10−1
0.35 times 10 superscript negative 1 baseline

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

3×102

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

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

Amount of perfume per container = Amount of perfume / Number of containers
Amount of perfume per container = 10.5 gallons / 3.5×10^2

To divide the amount of perfume by the number of containers, we divide the coefficients and subtract the exponents of 10:

Amount of perfume per container = (10.5 ÷ 3.5) × 10^(0-2) = 3 × 10^(-2)

Therefore, each container will have 3×10^(-2) gallons of perfume.