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gayaneshka [121]
3 years ago
5

Anna wants to rent movies from either Service A or Service B. Service A charges $37.92 as a subscription fee with a charge of $2

.18 per movie. Service B charges $33.25 as a subscription fee plus $3.55 per movie. Service B is running a special offer where the first movie is free. Given that Anna always rents at least 1 movie in a given subscription period, how many movies would she have to rent for the average cost per movie to be equal at Service A or Service B?
Mathematics
2 answers:
goldenfox [79]3 years ago
7 0
I think it is $76.80
Paha777 [63]3 years ago
4 0

Answer: 6 movies

Step-by-step explanation:Service A

1. $37.92 +&2.18=$40.1

2. $41.1+$2.18=$42.28

3....

4....

5....

6. $48.82+$2.18=$51

Service B

1. $33.25+free movie=$33.25

2. $33.25+$3.55=$36.8

3....

4....

5....

6. $47.45+$3.55=$51


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It takes 32 hours for a motorboat moving downriver to get from pier A to pier B. The return journey takes 48 hours. How long doe
lina2011 [118]

Answer:

Time taken by the un powered raft to cover this distance is T = 192.12 hr

Step-by-step explanation:

Let speed of boat = u \frac{km}{hr}

Speed of current = v \frac{km}{hr}

Let distance between A & B = 100 km

Time taken in downstream = 32 hours

32 = \frac{100}{u +v}

u + v = \frac{100}{32}

u + v = 3.125 ------ (1)

Time taken in upstream = 48 hours

48 = \frac{100}{u -v}

u -v = \frac{100}{48}

u - v = 2.084 ------- (2)

By solving equation (1) & (2)

u = 2.6045 \frac{km}{hr}

v = 0.5205 \frac{km}{hr}

Now the time taken by the un powered raft to cover this distance

T = \frac{100}{v}

Because un powered raft travel with the speed of the current.

T = \frac{100}{0.5205}

T = 192.12 hr

Therefore the  time taken by the un powered raft to cover this distance is

T = 192.12 hr

3 0
3 years ago
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Which statement is true about the product square root of 2(3square root of 2 + square root of 14)?
sukhopar [10]

Answer:

\sqrt{2} (3\sqrt{2} +\sqrt{14})=6+2\sqrt{7}

Step-by-step explanation:

Given : \sqrt{2} (3\sqrt{2} +\sqrt{14})

Solution:

\sqrt{2} (3\sqrt{2} +\sqrt{14})

3*2+\sqrt{28})

6+2\sqrt{7}

Thus ,  \sqrt{2} (3\sqrt{2} +\sqrt{14})=6+2\sqrt{7}

Thus the solution is irrational since square root 7 does not have a perfect square and equal to 6+2square root of 14

3 0
3 years ago
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Kitty [74]

Step-by-step explanation:

Clearly, there is a common difference between the monthly employment rates:

8.7% - 8.9% = -0.2%

8.5% - 8.7% = -0.2%

8.3% - 8.5% = -0.2%

a) So, for every month x, the percentage will go down 0.2%, starting at 8.9%. So, we can make this equation:

y = -0.2x + 9.1, where x = 1 would be October 2011.

January 2013 is 16 months after October 2011, so:

y = -0.2(16) + 9.1

y = 5.9%

b) To find when the unemployment rate will be zero, we set the equation equal to zero:

0 = -0.2x + 9.1

-0.2x = -9.1

x = 45.5 months

So, rounding up, the U.S. would reach a zero unemployment rate in 46 months or around September 2014? Not completely sure.

5 0
3 years ago
Y=x2-2x-5<br> Change to vertex form
MaRussiya [10]

The vertex form is y=(x-1)^{2} -6

Step-by-step explanation:

The given equation y=x^{2} -2x-5 is a parabola. The vertex of the parabola is of the form y=ax^{2} +bx+c  

The parameters of the parabola are a=1, b=-2 and c=-5

The vertex of the x-coordinate is given by x=\frac{-b}{2a}

Thus, substituting the values of a and b in x=\frac{-b}{2a}, we get,

\begin{aligned}x &=\frac{-(-2)}{2(1)} \\&=\frac{2}{2} \\x &=1\end{aligned}

Now, substituting x=1 in y=x^{2} -2x-5, we get,

\begin{aligned}y &=1^{2}-2(1)-5 \\&=1-2-5 \\y &=-6\end{aligned}

Thus, the vertex is (1,-6)

The equation of parabola to be in vertex form is y=a(x-h)^{2} +k

where a is the coefficient of x^{2}, h is vertex of the x-coordinate and k is the vertex of the y-coordinate.

Hence, a=1, h=1 and k=-6

Thus, substituting the values in the equation of the vertex form,

y=1(x-1)^{2} -6\\y=(x-1)^{2} -6

Hence, the vertex form is y=(x-1)^{2} -6

8 0
4 years ago
williams only has 1 3/4cups of flour ,so he only make 2/3 0f a batch of biscuits. how much flour is needed for a full batch of b
oksano4ka [1.4K]

Answer:

2 5/8 cups of flour

Step-by-step explanation:

Use a proportion.

1 3/4 cups of flour is to 2/3 of a batch as x cups of flour is to 1 batch.

1 3/4 : 2/3 = x : 1

2/3 x = 1 3/4 * 1

2/3 x = 1 3/4

2/3 x = 7/4

3/2 * 2/3 x = 3/2 * 7/4

x = 21/8

x = 2 5/8

Answer: 2 5/8 cups of flour

3 0
3 years ago
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