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frozen [14]
3 years ago
10

Noah is shopping for new socks. He sees many different options. One bag has 12 socks for $9.99, another bag has 20

Mathematics
2 answers:
jasenka [17]3 years ago
5 0

Answer:

Second bag having 20 socks for $ 14.99 is the best deal.

Step-by-step explanation:

To find the best deal, you have to find the unit rate

First bag:

Unit rate = 9.99 ÷ 12 = $ 0.8325

Second bag:

unit rate = 14.99 ÷ 20 = $ 0.7495

Third bag:

Unit rate = 19.99 ÷ 10 = $ 1.999

Second bag having 20 socks for $ 14.99 is the best deal.

TEA [102]3 years ago
4 0

Answer:

the bag with 20 socks for $14.99

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Define f(0,0) in a way that extends f to be continuous at the origin. f(x, y) = ln ( 19x^2 - x^2y^2 + 19 y^2/ x^2 + y^2) Let f (
kirill115 [55]

Answer:

f(0,0)=ln19

Step-by-step explanation:

f(x,y)=ln(\frac{19x^2-x^2y^2+19y^2}{x^2+y^2}) is given as continuous function, so there exist lim_{(x,y)\rightarrow(0,0)}f(x,y) and it is equal to f(0,0).

Put x=rcosA annd y=rsinA

f(r,A)=ln(\frac{19r^2cos^2A-r^2cos^2A*r^2sin^2A+19r^2sin^2A}{r^cos^2A+r^2sin^2A})=ln(\frac{19r^2(cos^2A+sin^2A)-r^4cos^2Asin^a}{r^2(cos^2A+sin^2A)})

we know that cos^2A+sin^2A=1, so we have that

f(r,A))=ln(\frac{19r^2-r^4cos^2Asin^a}{r^2})=ln(19-r^2cos^2Asin^2A)

lim_{(x,y)\rightarrow(0,0)}f(x,y)=lim_{r\rightarrow0}f(r,A)=ln19

So f(0,0)=ln19.

8 0
3 years ago
Solve. 3t &lt; –15 (1 point)<br> t &lt; –5<br> t &gt; –5<br> t &lt; –45<br> t &gt; –45
Kipish [7]
I hope this helps you



3t÷3 < -15÷3


t < -5
8 0
3 years ago
I’ll give brainliest!!!
n200080 [17]

Answer:

A) arithmetic sequence

g(n) = 20 + 3n

Step-by-step explanation:

Each minute, the number of pages increases by 3, which means the common difference is 3 (because it is being added, not multiplied).

If there is a common difference, it's an arithmetic sequence. (Geometric sequences have common ratios.)

If she starts at 20 pages, then you just need to multiply 3 by the number of minutes passed (n) and add it to 20 to find the page she's on.

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3 years ago
What simplified ratio compares 48 inches to 2 feet? (12 inches = 1 foot)
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3 years ago
A piece of work can be completed by 45 men in 90 days if only 30 men are available, how many days will it take to complete the s
andrew-mc [135]

Answer:

  135 days

Step-by-step explanation:

Often, we measure work in man·days. This piece of work requires ...

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When there are only 30 men, the number of days required can be found by dividing this work by the number of men:

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Another approach is to realize the time is inversely proportional to the number of men. If the number of men is 30/45 = 2/3 the original, then the time will be 3/2 the original, or ...

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7 0
3 years ago
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