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blondinia [14]
3 years ago
5

What is the sum of the infinite series: 2+1+1/2+1/4+1/8+...

Mathematics
1 answer:
Temka [501]3 years ago
7 0

Answer:

31/8

im very sure

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Ben is decorating his home with vases of flowers. He bought glass vases that cost $22 each and ceramic vases that cost $14 each.
Evgen [1.6K]

Answer:

Step-by-step explanation:

x + y = 10

22x + 14y = 172

-22x - 22y = -220

22x + 14y = 172

-8y = - 48

y = 6 ceramic vases

x + 6 = 10

x = 4 glass vases

6 0
3 years ago
Read 2 more answers
Choose the correct simplification of the expression ( 4x/y)^2.
erik [133]

\large\displaystyle\text{$\begin{gathered}\sf \left(\frac{4x}{y}\right)^{2}   \end{gathered}$}

To raise 4x/y to a power, raise the numerator and denominator to the power, and then divide.

\large\displaystyle\text{$\begin{gathered}\sf \frac{(4x)^{2} }{y^{2} }  \end{gathered}$}

Expand (4x)².

\large\displaystyle\text{$\begin{gathered}\sf \frac{4^{2} x^{2} }{y^{2} }  \end{gathered}$}

Calculates 4 to the power of 2 and gets 16.

\boxed{\large\displaystyle\text{$\begin{gathered}\sf \frac{16x^{2} }{y^{2} }  \end{gathered}$} }

6 0
1 year ago
Renting a room at the Willow tree resort costs $125 for 2 people. Each additional person is $25. Write an expression that shows
Mama L [17]

Answer:

Let C be the cost for the people staying

if n <= 2 ;  C = $125

If n >2 ;  C =  $125 + $25 * (n-2)

Step-by-step explanation:

If the number of people is more than two, we need to add $25 for each of them.

Since n will be the number of people staying, we need to make sure that we substract two from this term to avoid overcharging the guests when there is less than two people.

So

(n-2) is the term that should be multiplied by a factor of 25.


5 0
3 years ago
The miller’s are comparing babysitting services for their two children. the babysitters block charges a rate of $15 an hour per
jonny [76]

Answer:

2.5 hours

Step-by-step explanation:

BB = 25 + (15x)2

SS = (20x)2

25 + 30x = 40x

10x = 25

x = 2.5

5 0
2 years ago
Read 2 more answers
Carla is renting a canoe. It’s cost $80 for 2 hours and $160 for 4 hours. What is the rate per hour?
patriot [66]
<span>Carla is renting a canoe. It’s cost $80 for 2 hours and $160 for 4 hours. What is the rate per hour?

If we want to get a full understanding of this question we must use the information given.

If renting the canoe cost $80 per 2 hours, to get 1 hour we must divide $80 by 2.

</span>\frac{80}{2}=40

or $40

We can also use $160 and 4 hours

\frac{160}{4}=40

or $40

So the rate per hour is $40

8 0
3 years ago
Read 2 more answers
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