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Shkiper50 [21]
2 years ago
8

System of Equations- pls help with the following problem

Mathematics
1 answer:
Sergeu [11.5K]2 years ago
7 0

Answer:

b no.is the correct answer.

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Which system of equations could be used to determine how many of each coin you have
kirza4 [7]
<h3>Answer: Choice A</h3>

0.10d + 0.05n = 2.25

d = 2n

================================================

Explanation:

n = number of nickels

d = number of dimes

we have twice as many dimes as nickels, so we could have something like 18 dimes and 9 nickels. Algebraically we would write d = 18 and n = 9. The equation that fits this is d = 2n. The answer is between A and B at this point.

We rule out choice B since the 0.05d is incorrect. It should be 0.10d to represent the total value of all the dimes.

Choice A is correct

d = number of dimes

0.10d = value of all the dimes in dollars

n = number of nickels

0.05n = value of all the nickels in dollars

0.10d + 0.05n = total value from both coins combined

2.25 =  total value from both coins combined

0.10d + 0.05n = 2.25

8 0
3 years ago
\sum_{n=1}^{\infty } ((-1^n)/n)x^n<br><br> Find the interval of convergence.
Lorico [155]

Answer:

(-1,1).

Step-by-step explanation:

We need to calculate \lim_{n \to \infty}\frac{| a_{n+1}|}{| a_{n}|} = \frac{1}{R} where R is the radius of convergence.

\lim_{n \to \infty}\frac{\frac{|(-1)^{n+1}|}{|n+1|}}{\frac{|(-1)^{n}|}{|n|}}

\lim_{n \to \infty}\frac{\frac{1}{|n+1|}}{\frac{1}{|n|}}

\lim_{n \to \infty}\frac{|n|}{|n+1|}

Applying LHopital rule we obtaing that the limit is 1. So 1=\frac{1}{R} then R = 1.

As the serie is the form (x+0)^{n} we center the interval in 0. So the interval is (0-1,0+1) = (-1,1). We don't include the extrem values -1 and 1 because in those values the serie diverges.

4 0
3 years ago
How to solve variables on both sides of equation
MatroZZZ [7]

Answer:

isolate variable by adding or subtracting it on both sides.

Step-by-step explanation:

7 0
3 years ago
Estimate the sum by rounding to the nearest whole number 18.74+41.49
satela [25.4K]
Hello!

I'll start w/ 18.74 to round. To round 18.74, the 4 wouldn't have any effect raising the 7's value, since anything 4 and below won't increase the number's value. Now you just have 18.7. The 7 will increase the 8's value to a 9, since anything 5 and up will increase the rounded number's value. So 18.74 is now rounded up to 19.

For 41.49, you'll round the 4 to a 5, since 9 will increase the value of the 4. Now you have 41.5. The newly rounded 5 will then increase the 1's value, making it a 2. So now 41.49 is now rounded up to 42.

You can now estimate the sum by adding 19 w/ 42 to get an estimate of 61!

I hope this helps!!! 
6 0
3 years ago
The sale price of ground beef at a local grocery store is $1.49 for the 1st pound and 1.09 for each additional pound which funct
bixtya [17]
Y=1.09(x-1)+1.49  where y is cost and x is in pounds we could further operate:

y=1.09x-1.09+1.49

y=1.09x+0.4 (note that the domain is x≥1)
5 0
4 years ago
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