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Alex777 [14]
3 years ago
9

Janine is considering buying a water filter and a reusable water bottle rather than buying bottled water. Will doing so save her

money?
First, determine what information you need to answer this question, then click here to display that info (along with other info).
How much water does Janine drink in a day? She normally drinks 6 bottles a day, each 16.9 ounces.
How much does a bottle of water cost? She buys 24-packs of 16.9 ounce bottles for $3.59.
How much does a reusable water bottle cost? About $10.
How long does a reusable water bottle last? Basically forever (or until you lose it).
How much does a water filter cost? How much water will they filter?
A faucet-mounted filter costs about $28 and includes one filter cartridge. Refill filters cost about $33 for a 3-pack. The box says each filter will filter up to 100 gallons (378 liters)
A water filter pitcher costs about $22 and includes one filter cartridge. Refill filters cost about $20 for a 4-pack. The box says each filter lasts for 40 gallons or 4 months
An under-sink filter costs $130 and includes one filter cartridge. Refill filters cost about $60 each. The filter lasts for 500 gallons.


Which option is cheapest over one year (365 days)?



The cheapest option saves her $
over a year?
Mathematics
2 answers:
a_sh-v [17]3 years ago
7 0

Answer:

yes.

Step-by-step explanation:

Because if you buy a re-usable water bottle you wont have to keep buying more water bottles

maks197457 [2]3 years ago
7 0

Answer:

DIY water filtering costs

$33 = 3300 cents for 30 gallons =

 11 cents per gallon

So the linear function is 38 + 0.33 G where G is the gallons of water

The $38 flat fee is for the water filter and the reusable water.

1 pack of bottled water is 3.16875 gallons ( 24 x 16.9 ounces  with 128 ounces per gallon)

Using the filtering system, 3.16875 gallons will cost 0.33 x 3.16875 = $1.0456875

This is 3.99-1.0456875 = 2.94 cheaper per pack of water

38 / 2.94 = 13

So the filtering system will pay for itself after 13 cases of water

Step-by-step explanation:

i explain it all up.

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Mark got 54 out of 66 in his maths test how many did he get wrong. Give your answer in its simplest form
alex41 [277]

Answer:

9/11 I think!

Step-by-step explanation:

54/66= 9/11

5 0
3 years ago
Where does the pythagorean identity sin^2 + cos^2=1 come from? How does it relate to right triangles?
Arada [10]
Consider a<span> right triangle with </span><span>hypotenuse of 1.
sin x means to divide the side in front of the angle by </span>hypotenuse<span>
cos x means to divide the side beside  the angle by hypotenuse
we know that a^2+b^2=c^2 now divide two sides by c^2
\frac{ a^{2} }{ c^{2} }+  \frac{ b^{2} }{ c^{2} }=1
c is 1 also a/c means sinx and b/c is cos x so
sin^2(x)+cos^2(x)=1

</span>



8 0
4 years ago
Which category do all of these shapes belong to
Nataly [62]

Answer:

squares

Step-by-step explanation:

4 0
3 years ago
What is the the slope that passes through the points (4,-7) and (9,1)
bulgar [2K]

Answer:

8/5

Step-by-step explanation:

We can use the formula for finding slope for this:  \frac{y_{2}-y_{1}}{x_{2}-x_{1}}

\frac{1 - (-7)}{9 - 4}

\frac{8}{5}

The answer would be 8/5

3 0
3 years ago
Read 2 more answers
Enter the coefficients of the fifth Taylor polynomial T5(x) for the function f(x) = x5−3x4+2x2+5x−2 based at b=1. T5(x)= + (x−1)
DENIUS [597]

Compute the necessary values/derivatives of f(x) at x=1:

f(1)=3

f'(1)=2

f''(1)=-12

f'''(1)=-12

f^{(4)}(1)=48

f^{(5)}(1)=120

Taylor's theorem then says we can "approximate" (in quotes because the Taylor polynomial for a polynomial is another, exact polynomial) f(x) at x=1 by

T_5(x)=\dfrac3{0!}+\dfrac2{1!}(x-1)-\dfrac{12}{2!}(x-1)^2-\dfrac{12}{3!}(x-1)^3+\dfrac{48}{4!}(x-1)^4+\dfrac{120}{5!}(x-1)^5

T_5(x)=3+2(x-1)-6(x-1)^2-2(x-1)^3+2(x-1)^4+(x-1)^5

###

Another way of doing this would be to solve for the coefficients a,b,c,d,e,g in

f(x)=a+b(x-1)+c(x-1)^2+d(x-1)^3+e(x-1)^4+g(x-1)^5

by expanding the right hand side and matching up terms with the same power of x.

5 0
3 years ago
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