Please help it’s due tomorrow I’ll give brainilest please!!! A New Heating System
A homeowner wants to replace their old heating system. Energy is measured in
kilowatt-hours (kWh). It takes about 11,700 kWh of energy to heat the house for the winter.
The current heating system uses natural gas and is 60% efficient, which means that for
every 100 kWh of natural gas it uses, it produces 60 kWh of heat. With the homeowner's
current system, it costs $975 to heat the house. Assume that natural gas costs $0.05/kWh
and electricity costs $0.21/KWH.
The homeowner also has an air conditioner that uses 2.500 kWh of electricity per year and
produces 290 kWh of cooling for every 100 kWh it uses. They also have a water heater that
uses 4,300 kWh of electricity
per year and produces 90 kWh of heat for every 100 kWh it
uses. These systems could also be replaced if there is a cheaper option, but it isn't
necessary.
Here are three other types of heating systems the homeowner could replace their current
system with:
• A new furnace which also runs on natural gas and is more efficient For every 100
kWh of natural gas it uses, it produces 95 kWh of heat. This system costs $5,000 to
install
• A geothermal heat pump. This system uses electricity instead of natural gas, but it
produces 4 kWh of heat for every 1 kWh of electricity it uses. It costs $14,000, but it's
very low maintenance and it also replaces the air conditioner and water heater.
• A grid-tied solar array. This system is connected to the electrical grid so that when it
generates more energy than the house needs, the extra electricity can be sold back
to the grid. Over the whole year, the house will use as much electricity as is sold back,
which means the homeowner would basically be heating and cooling the house for
free. It costs $16,000 to install.
1. Which system would you recommend? Make a graph to convince the homeowner to
switch to this system
2. How long will it take to save as much money as the new system cost?

c.

step-by-step explanation:

she should of added 9^2 and 12^2. that is because it is a^2+b^2=c^2. c^2 is the hypotenuse and should always be bigger than the other two numbers. which is why she should of added 9 squared and 12 squared together instead of 15 squared.

your exact question is kind of difficult to understand, so maybe an example will explain what you're supposed to do? i'll work through the first problem on the worksheet.

suppose you have a tray of 652 brownies, and you have 5 friends that you want to feed without picking favorites. how many brownies can you dole out to each of your friends in equal amounts? how many will be left over for you to eat?

what you're doing here is finding a way to arrange the number 652 as the sum of integer multiple of 5 and some remainder:

here ("q" for quotient) is the number of brownies each of your friends get, and is the remainder. that's the basic idea behind division.

we break up the number 652 into parts so that the leading digit stands on its own:

652 = 600 + 52

first we check if it's possible to hand out exactly 100 brownies to each friend. with 5 friends, this means we want to know if we can take out 500 brownies from the tray. we can do this 1 time because we have 600 brownies to take from, and when we do that we're left with 100 + 52 brownies to divvy up. so we know that

652 = 1*500 + 152

next we want to know if it's possible to hand out exactly 10 brownies per friend. if we can, we have to remove 50 brownies from the tray each time until we can't. we have 152 brownies left, and we know that 3(50) = 150, so

152 = 3*50 + 2

now we have 2 brownies left in the tray. is it possible to hand 1 out to each of your 5 friends? no, you'd need a minimum of 5 brownies to do that. so the last 2 are yours.

putting everything together, we found that

652 = 1*500 + 3*50 + 2

and we can rearrange this to write

652 = 5*100 + 5*30 + 2

652 = 5(100 + 30) + 2

652 = 5*130 + 2

so and .

you might be more accustomed to the table depicting the algorithm. that's just a compact way of organizing what we've done above. you can consult the image i've attached below.

he answer is x=1x3 because x=1 to x=3