An average American household uses about 1.04×10^4 kWh (kilowatt hours) of electricity a year. If a power station generates 2.496×10^10 kWh per year, how many households can it serve? Write your answer in scientific notation, expressed to the exact decimal place.(1 point)
To find out how many households can be served by the power station, we need to divide the total electricity generated by the power station by the electricity used by an average household.
Total electricity generated by the power station = 2.496 × 10^10 kWh
Electricity used by an average American household = 1.04 × 10^4 kWh
Number of households served = (Total electricity generated) / (Electricity used by an average household)
= (2.496 × 10^10 kWh) / (1.04 × 10^4 kWh)
Now we need to divide the coefficients and subtract the exponents:
= 2.496 × 10^10 / 1.04 × 10^4
= (2.496 / 1.04) × (10^10 / 10^4)
= 2.4 × 10^6
Therefore, the power station can serve approximately 2.4 × 10^6 households.
To find out how many miles are there in 3.52 × 10^7 meters, we need to divide the given distance in meters by the conversion factor of meters to miles.
Number of miles = (Distance in meters) / (Conversion factor of meters to miles)
= (3.52 × 10^7 meters) / (1.6 × 10^3 meters)
Now we need to divide the coefficients and subtract the exponents:
= 3.52 / 1.6 × 10^7 / 10^3
= 2.2 × 10^4
Therefore, there are approximately 2.2 × 10^4 miles in 3.52 × 10^7 meters.
There are about 1.6×10^3 meters in a mile. About how many miles are there in 3.52×10^7 meters? Write your answer in scientific notation, expressed to the exact decimal place.(1 point)
An online data storage facility has 1.326×10^13 bytes of storage available. It has 2.6×10^4 customers. How many bytes of storage can each customer use? Write your answer in scientific notation, expressed to the exact decimal place.(1 point)
To find out how many neon tetras the aquarium can house, we need to divide the total gallons of water in the aquarium by the amount of water each neon tetra needs.
Total gallons of water in the aquarium = 1 × 10^5 gallons
Water needed per neon tetra = 1.25 gallons
Number of tetras that can be housed = (Total gallons of water) / (Water needed per neon tetra)
= (1 × 10^5 gallons) / (1.25 gallons)
Now we need to divide the coefficients and subtract the exponents:
= 1 / 1.25 × 10^5 / 1
= 0.8 × 10^5
Therefore, the aquarium can house approximately 0.8 × 10^5, or 8 × 10^4, neon tetras.
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.(1 point)
To find out how many feathers would be needed to make a weight of 4.1 × 10^3 g, we need to divide the total weight by the weight of each feather.
Weight of each feather = 0.0082 g
Total weight desired = 4.1 × 10^3 g
Number of feathers needed = (Total weight desired) / (Weight of each feather)
= (4.1 × 10^3 g) / (0.0082 g)
Now we need to divide the coefficients and subtract the exponents:
= 4.1 / 0.0082 × 10^3 / 1
= 500 × 10^3
Therefore, you would need approximately 500 × 10^3, or 5 × 10^5, feathers to make a weight of 4.1 × 10^3 g.
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.(1 point)
Responses
To find the width of the park, we need to divide the area of the park by the length of the park.
Area of the park = 1.36 × 10^8 ft^2
Length of the park = 1.6 × 10^4 ft
Width of the park = (Area of the park) / (Length of the park)
= (1.36 × 10^8 ft^2) / (1.6 × 10^4 ft)
Now we need to divide the coefficients and subtract the exponents:
= 1.36 / 1.6 × 10^8 / 10^4
= 0.85 × 10^4 / 1
Therefore, the width of the park is 0.85 × 10^4 ft, or 8.5 × 10^3 ft.
divide 3.3×10^4 by 5.5×10^7
.(1 point)
To divide 3.3 × 10^4 by 5.5 × 10^7, we need to divide the coefficients and subtract the exponents:
(3.3 × 10^4) / (5.5 × 10^7) = (3.3 / 5.5) × (10^4 / 10^7)
Now we can divide the coefficients:
= 0.6 × 10^(-3)
To express the answer in scientific notation, we can rewrite it as:
= 6 × 10^(-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
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 that can be provided = (Grant amount) / (Cost per lunch)
= (1.925 × 10^6 dollars) / ($2.75)
Now we can divide the coefficients and subtract the exponents:
= 1.925 / 2.75 × 10^6 / 1
Therefore, the grant can provide approximately 0.7 × 10^6, or 7 × 10^5, senior lunches.
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.(1 point)
Responses
To find out how many gallons of perfume will be in each container, we need to divide the total gallons of perfume by the number of containers.
Total gallons of perfume = 10.5 gallons
Number of containers = 3.5 × 10^2
Gallons of perfume per container = (Total gallons of perfume) / (Number of containers)
= (10.5 gallons) / (3.5 × 10^2)
Now we can divide the coefficients and subtract the exponents:
= 10.5 / 3.5 × 10^2 / 1
Therefore, there will be approximately 3 × 10^(-1) gallons of perfume in each container.
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.(1 point)
Responses
To find out how many square feet the pavilion is, we need to divide the total number of bricks by the number of bricks per square foot.
Total number of bricks = 2.967 × 10^5 bricks
Number of bricks per square foot = 6.9 bricks
Square feet of the pavilion = (Total number of bricks) / (Number of bricks per square foot)
= (2.967 × 10^5 bricks) / (6.9 bricks)
Now we can divide the coefficients and subtract the exponents:
= 2.967 / 6.9 × 10^5 / 1
Therefore, the pavilion is approximately 4.3 × 10^4 square feet.
A public aquarium is being built to contain neon tetras. Each neon tetra needs 1.25 gallons of water. The aquarium will contain 1×10^5 gallons of water. How many tetras can it house? Write the answer in scientific notation.(1 point)
To find out how many bytes of storage each customer can use, we need to divide the total available storage by the number of customers.
Total available storage = 1.326 × 10^13 bytes
Number of customers = 2.6 × 10^4
Bytes of storage per customer = (Total available storage) / (Number of customers)
= (1.326 × 10^13 bytes) / (2.6 × 10^4)
Now we need to divide the coefficients and subtract the exponents:
= 1.326 / 2.6 × 10^13 / 10^4
= 0.51 × 10^9
Therefore, each customer can use approximately 0.51 × 10^9 bytes of storage.