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2 years ago

11

if you drive an average of 1,400 miles per month and spend an average of 60$ per month for automobile maintenance and repair. Wh

at’s your cost per mile to the nearest cent?

1 answer:

meriva2 years ago

6 0

Answer:It will be $ 8,469

Step-by-step explanation:

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Expand (2x+2)^6<br> How would you find the answer using the binomial theorem?

Yanka [14]

Answer:

Step-by-step explanation:

$\displaystyle\\\sum\limits _{k=0}^n\frac{n!}{k!*(n-k)!}a^{n-k}b^k .\\\\k=0\\\frac{n!}{0!*(n-0)!}a^{n-0}b^0=C_n^0a^n*1=C_n^0a^n.\\\\ k=1\\\frac{n!}{1!*(n-1)!} a^{n-1}b^1=C_n^1a^{n-1}b^1.\\\\k=2\\\frac{n!}{2!*(n-2)!} a^{n-2}b^2=C_n^2a^{n-2}b^2.\\\\k=n\\\frac{n!}{n!*(n-n)!} a^{n-n}b^n=C_n^na^0b^n=C_n^nb^n.\\\\C_n^0a^n+C_n^1a^{n-1}b^1+C_n^2a^{n-2}b^2+...+C_n^nb^n=(a+b)^n.$

$\displaystyle\\(2x+2)^6=\frac{6!}{(6-0)!*0!} (2x)^62^0+\frac{6!}{(6-1)!*1!} (2x)^{6-1}2^1+\frac{6!}{(6-2)!*2!}(2x)^{6-2}2^2+\\\\ +\frac{6!}{(6-3)!*3!} (2a)^{6-3}2^3+\frac{6!}{(6-4)*4!} (2x)^{6-4}b^4+\frac{6!}{(6-5)!*5!}(2x)^{6-5} b^5+\frac{6!}{(6-6)!*6!}(2x)^{6-6}b^6. \\\\$

$(2x+2)^6=\frac{6!}{6!*1} 2^6*x^6*1+\frac{5!*6}{5!*1}2^5*x^5*2+\\\\+\frac{4!*5*6}{4!*1*2}2^4*x^4*2^2+ \frac{3!*4*5*6}{3!*1*2*3} 2^3*x^3*2^3+\frac{4!*5*6}{2!*4!}2^2*x^2*2^4+\\\\+\frac{5!*6}{1!*5!} 2^1*x^1*2^5+\frac{6!}{0!*6!} x^02^6\\\\(2x+2)^6=64x^6+384x^5+960x^4+1280x^3+960x^2+384x+64.$

8 0

10 months ago

After driving 152 km, 4/5 of a trip is completed. How long is the total trip? How many more kilometers must be driven to compl

nikitadnepr [17]

Answer:

1. Total Trip Distance = 190 kilometers

2. To complete the trip, 38 more kilometers left

Step-by-step explanation:

1.

Let total trip be x kilometers.

So we can say

<em>"152 is $\frac{4}{5}$ of total" --- this into equation is:</em>

$152=\frac{4}{5}x\\x=\frac{152}{\frac{4}{5}}\\x=190$

Total trip is 190 km.

2.

Since already driven 152, to complete 190, you have to drive $190-152=38$ kilometers more.

So, 38 more kilometers to complete the trip.

7 0

2 years ago

Read 2 more answers

91. Jack can read 45 pages of his book in one and a

Digiron [165]

Answer:

10 hours

Step-by-step explanation:

45 pages per 1 hour and 30 minutes, or 60 min +30 min =90 min

90 minutes / 45 pages has to be equal to an equivalent fraction where we have 300 pages

90 minutes /45 pages = ? minutes / 300 pages , multiply both sides by 300

? minutes = 90*300/45 = 600 minutes

to read 300-page book will take 600 minutes = 10 hours

3 0

2 years ago

Which is longer between 500 feet and 350 yards<br>

Mariana [72]

Answer:

350 yards

Step-by-step explanation:

3 0

2 years ago

Trigonometry help please show work. Due soon please help

nexus9112 [7]

Answer:

Step-by-step explanation:

5 0

2 years ago