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mr Goodwill [35]

3 years ago

6

Jenny bought gas for her car which costs $2.95 per gallon. Jenny bought 16.1 gallons of gas.What was the total cost for Jenny’s

gas (rounded to the nearest cent)?
Just round 47.495 to the nearest cent.

2 answers:

goldfiish [28.3K]3 years ago

8 0

Answer:

47.50

Step-by-step explanation:

Alex777 [14]3 years ago

8 0

The answer is 47.50 there you go

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Alex runs on the track at school each weekday morning. If he runs 5.9 miles each day, about how much does he run every month?

Lisa [10]

Now, since we know that 5.9 is the amount of miles per day, we need to determine how many miles per month.

Usually, there are 20 days...because of no weekdays

Multiply.

5.9 * 20 = 118

Final answer:- He runs 118 miles per month.

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3 years ago

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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:

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

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

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

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1 year ago

The width of a DNA molecule is about 2.5 nanometers. A nanometer is 0.000000001 meter. Write the width of a DNA molecule in scie

Molodets [167]

Hey there!!

Scientific notation of 0.000000001 :

0.1 ⁻⁷

Hope it helps!

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3 years ago

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The difference between a number and ten is thirteen. What is the number?

svetoff [14.1K]

Answer:

The number is 23

Step-by-step explanation:

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3 years ago

Consider the rational expression (IMAGE ATTACHED)

Keith_Richards [23]

Answer:

3x² is a term in the numerator
x + 1 is a common factor
The denominator has 3 terms

Step-by-step explanation:

You can identify terms and count them before you start factoring. Doing so will identify 3x² as a term in the numerator, and will show you there are 3 terms in the denominator.

When you factor the expression, you get ...

$\dfrac{3x^2-3}{3x^2+2x-1}=\dfrac{3(x^2-1)}{(3x-1)(x+1)}=\dfrac{3(x-1)(x+1)}{(3x-1)(x+1)}$

This reveals a common factor of x+1.

So, the above three observations are true of this rational expression.

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4 years ago