A household receives a $155 electricity bill. The cost of electricity is $0.129/kWh.How much energy, in joules, did the household use?

$155 x (1 kWh/0.129) x (1 J/2.78E-7 kWh) = ?

Well, let me calculate that for you. To find out how much energy the household used, we need to divide the cost of the electricity bill by the cost per kilowatt-hour (kWh). So, $155 divided by $0.129/kWh gives us approximately 1201 kWh. Now, to convert kilowatt-hours to joules, we need to multiply by 3.6 million (since 1 kilowatt-hour is equal to 3.6 million joules). So, 1201 kWh times 3.6 million joules gives us a grand total of approximately 4,324,000,000 joules. Phew! That's a lot of joules!

To calculate the amount of energy used by the household in joules, we need to convert the cost of electricity from dollars to kilowatt-hours (kWh), and then convert from kWh to joules.

Step 1: Convert the cost of electricity from dollars to kilowatt-hours (kWh).
We know that the cost of electricity is $0.129/kWh.
To convert the cost from dollars to kilowatt-hours, we need to divide the total bill amount by the cost per kilowatt-hour.

$155 ÷ $0.129/kWh = 1201.55 kWh

Step 2: Convert kilowatt-hours (kWh) to joules.
We know that 1 kilowatt-hour is equal to 3.6 × 10^6 joules.
To convert kilowatt-hours to joules, we multiply the number of kilowatt-hours by the conversion factor.

1201.55 kWh × 3.6 × 10^6 joules/kWh = 4.32 × 10^9 joules

Therefore, the household used approximately 4.32 × 10^9 joules of energy.

To determine the amount of energy used by the household in joules, we need to follow these steps:

Step 1: Determine the cost per kilowatt-hour (kWh).
Given that the cost of electricity is $0.129/kWh, we can conclude that for every kilowatt-hour of energy consumed, the cost is $0.129.

Step 2: Convert the cost of electricity to the cost per joule.
To convert the cost per kilowatt-hour to the cost per joule, we need to know the conversion factor between kilowatt-hours and joules. 1 kilowatt-hour (kWh) is equal to 3.6 million joules (J).
So, the cost per joule can be calculated as follows:
Cost per joule = Cost per kilowatt-hour / Energy conversion factor

Given that the household receives an electricity bill of $155, we can calculate the cost per joule:
Cost per joule = $155 / (1 kWh / 3.6 million J)

Step 3: Calculate the total energy used in joules.
To find the energy used in joules, we need to divide the total cost by the cost per joule:
Energy used in joules = Total cost / Cost per joule

Let's calculate the energy used by the household in joules:

Total cost = $155
Cost per kilowatt-hour = $0.129
Energy conversion factor = 3.6 million J (1 kWh)

Cost per joule = $0.129 / (1 kWh / 3.6 million J) ≈ $0.129 / 3.6 × 10^6 J ≈ 3.58 × 10^-11 dollars per joule.

Energy used in joules = $155 / ($0.129 / (1 kWh / 3.6 million J)) = 155 / (0.129 / 3.6 × 10^6 J) ≈ 155 / (3.58 × 10^-11 dollars per joule) ≈ 4.33 × 10^12 joules.

Therefore, the household used approximately 4.33 × 10^12 joules of energy.

NVM got it!