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Paladinen [302]
3 years ago
6

Under Plan A a 2 minute call costs .54 cents a 4 minute call costs 1.08. Under plan b the cost for x minutes is given by y=0.289

x. Which plan is cheaper? Why?
Mathematics
1 answer:
Murljashka [212]3 years ago
5 0

Answer: Plan A is cheaper, because the cost of a 2-minute call and a 4-minute call is less than the cost of a 2-minute call and a 4-minute of Plan B call.

Step-by-step explanation:

1. You have the following information of Plan A:

- A 2 minute call costs .54 cents.

- A 4 minutes call costs $1.08.

2. For Plan B, you know that the cost of x is given by the equation:

y=0.289x

3. Therefore, you can compare both plans by finding the cost of a call of 2 minutes and a call of 4 minutes of Plan B. You can calculate this by giving these values to x:

x=2\\x=4

4. Substitute the values into the equation:

y=0.289(2)=0.578cents (This is more expensive)

y=0.289(4)=1.156dollars (This is more expensive)

5. Therefore, Plan A is cheaper, because the cost of a 2-minute call and a 4-minute call is less than the cost of a 2-minute call and a 4-minute of Plan B call.

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A closed cylindrical can of fixed volume V has radius r.a) Find the surface area, S, as a function of r.b) What happens to the v
andrey2020 [161]

Answer:

Step-by-step explanation:

This question is incomplete; here is the complete question.

A closed cylindrical can of fixed volume V has radius r. (a) Find the surface area, S, as a function of r. (b) What happens to the value of S approaches to infinity? (c) Sketch a graph of S against r, if  V=10 cm³.

A closed cylindrical can of volume V is having radius r and height h.

a). Surface area of a cylinder is given by

S = 2(Area of the circular sides) + Lateral area of the can

S = 2πr² + 2πrh

S = 2πr(r + h)

b). Since surface area is directly proportional to radius of the can

S ∝ r

Therefore, when r approaches to infinity (r → ∞)

c). If V = 10 cm³ Then we have to graph S against r.

From the formula V = πr²h

10 = πr²h

h = \frac{10}{\pi r^{2}}

By placing the value of h in the formula of surface area,

S = 2\pi r(r+\frac{10}{\pi r^{2}})

Now we can get the points to plot the graph,

r       -2             -1         0       1            2

S    -13.72     -13.72     0    26.28    35.13

7 0
3 years ago
Express as -80/112 as a rational: numerator = -5​
Anastasy [175]

Answer:

-80\112 = -5\7

we divided both numbers by 16

8 0
2 years ago
A summer camp is organizing a hike and needs to buy granola bars for the campers. The granola bars come in small boxes and large
Irina18 [472]

Answer:

The Answer is: There are 8 small boxes and 9 large boxes. See explanation below for variables and variable definitions.

Step-by-step explanation:

Let s = small boxes. Let b = large boxes.

s + b = 17

You can solve for s:

s = 17 - b

You can solve for b:

b = 17 - s

10 times the number of small boxes plus 24 times the number of large boxes is equal to 296 granola bars.

10s + 24b = 296

Substitute:

10(17 - b) + 24b = 296

170 - 10b + 24b = 296

14b = 296 - 170

14b =  126

b = 126 / 14 = 9 large boxes

Find the number of small boxes, s:

s = 17 - b = 17 - 9 = 8 small boxes

There are 8 small boxes and 9 large boxes.

Proof:

10(8) + 24(9) = 296

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296 = 296

4 0
3 years ago
If the probability of surviving a head on car accident at 55 mph is 0.097, then what is the probability of not surviving
BabaBlast [244]

The probability of not surviving a head-on car accident is: 0.903

Step-by-step explanation:

The probabilities of occurrence and non-occurrence of an event add up to one.

If p is the probability that an even will happen and q is the probability that it will not happen

Then

p+q=1

Here,

Probability of surviving = p = 0.097

Probability of not surviving = q = ?

0.097 + q = 1\\q = 1 - 0.097\\q = 0.903

The probability of not surviving a head-on car accident is: 0.903

Keywords: Probability, Inverse

Learn more about probability at:

  • brainly.com/question/4460262
  • brainly.com/question/4464845

#LearnwithBrainly

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