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Lelechka [254]
2 years ago
5

The quality assurance department at a gear found that there were 3 defective gears for every 500 produced. Write this as a fract

ion and as a precent. Please explain
Mathematics
2 answers:
Arisa [49]2 years ago
6 0
3/500 I think it might be the 3/5000 because it just makes sense
vaieri [72.5K]2 years ago
4 0

Answer:

3/500

Step-by-step explanation:

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They estimate that their current (older) fridge, which they got for free, costs them about $17 a month in electricity charges to
Eddi Din [679]

Step-by-step explanation:

Step one:

given

current (older) fridge

electricity charges= $17 monthly

maintenance costs= $220

let the number of months be x

and the total cost be yo

the expression for the cost for the old fridge is

yo=220+17x---------1

New  fridge

electricity charges= $6 monthly

costs=  $1,050

let the number of months be x

and the total cost be yn

the expression for the cost for the old fridge is

yn= 1050+6x---------2

Hence the system of equation for the situation is

yo=220+17x---------1

yn= 1050+6x---------2

Step two

for 10 years there are 12*10= 120 months

put x= 120 in both expressions and compare the total

yo=220+17(120)---------1

yo=220+2040

yo=$2,260

yn= 1050+6(120)---------2

yn=1050+720

yn=$1770

<u><em>Based on the analysis it will be less expensive to get the new fridge, hence buying the new fridge is worth it.</em></u>

3 0
3 years ago
Ben and Arthur teach us that you have to start investing by age thirty.
koban [17]
Who is Ben and Arthur? I’m sorry, I’m not with the trends. And investing early is important, coming for a young entrepreneur like myself.
6 0
3 years ago
Factor completely x^8- 16.
Nataly_w [17]

Answer:

Step-by-step explanation:


So in this example we'll be using the difference of squares which essentially states that: (a-b)(a+b)=a^2-b^2 or another way to think of it would be: a-b=(\sqrt{a}-\sqrt{b})(\sqrt{a}+\sqrt{b}). So in this example you'll notice both terms are perfect squares. in fact x^n is a perfect square as long as n is even. This is because if it's even it can be split into two groups evenly for example, in this case we have x^8. so the square root is x^4 because you can split this up into (x * x * x * x) * (x * x * x * x) = x^8. Two groups with equal value multiplying to get x^8, that's what the square root is. So using these we can rewrite the equation as:

x^8-16 = (x^4-4)(x^4+4)

Now in this case you'll notice the degree is still even (it's 4) and the 4 is also a perfect square, and it's a difference of squares in one of the factors, so it can further be rewritten:

x^4-4 = (x^2-2)(x^2+2)

So completely factored form is: (x^2-2)(x^2+4)(x^4+4)

I'm assuming that's considered completely factored but you can technically factor it further. While the identity difference of squares technically only applies to difference of squares, it can also be used on the sum of squares, but you need to use imaginary numbers. Because x^2+4 = x^2-(-4). and in this case a=x^2 and b=-4. So rewriting it as the difference of squares becomes: x^4+4 = x^4 - (-4) = (x^2-\sqrt{-4})(x^2+\sqrt{-4}) = (x^2-2i)(x^2+2i) just something that might be useful in some cases.

7 0
2 years ago
Read 2 more answers
Helpp with this its for a test review and I gotta turn it in quick
lesya [120]

Answer: 0.5

***If you found my answer helpful, please give me the brainliest. :) ***

5 0
3 years ago
Read 2 more answers
All parts please, i need this by the end of today and pls write answer in comments
ale4655 [162]

Answer:

A

=  \frac{78}{360}  \\  =  \frac{13}{60}

B

let \: total \: number \: be \: x \\  \frac{13}{60} x = 1164 \\ x =  \frac{1164 \times 60}{13}  \\ x = 5372 \: movies

C

A year has (4 × 12) weeks

= 48 weeks.

In 1 week = 9,568,000 movies

48 weeks = (48 × 9,568,000) movies

Average movies = 459.264 movies

D

<em>Since</em><em> </em><em>9</em><em>.</em><em>5</em><em>6</em><em>8</em><em> </em><em>million</em><em> </em><em>movies</em><em> </em><em>are</em><em> </em><em>rented</em><em>.</em>

<em>How</em><em> </em><em>about</em><em> </em><em>in</em><em> </em><em>one</em><em> </em><em>year</em><em> </em><em>(</em><em> </em><em>4</em><em>8</em><em> </em><em>weeks</em><em> </em><em>)</em>

<em>Convert</em><em> </em><em>1</em><em> </em><em>year</em><em> </em><em>to</em><em> </em><em>weeks</em><em> </em><em>and</em><em> </em><em>compare</em><em> </em><em>with</em><em> </em><em>1</em><em> </em><em>week</em>

7 0
3 years ago
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