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olga2289 [7]
3 years ago
9

A movie rental company charges $3 per movie, m, and a monthly fee of $20. What is the equation that represents the cost, C, to r

ent movies from the company for one month
Mathematics
2 answers:
Natali5045456 [20]3 years ago
6 0

Answer:

c = 2m + 20

Step-by-step explanation:

Before anything, let's make sure our variables are defined:

Movie = M

Cost = C

A way to think about this is because we're looking for C and our M value is changing, C = y and M = x. That would make 20 = b, making this C = 3M + 20. (This may or may not make sense, so if it doesn't, just ignore this.)

Ok so the first thing to note is that this is for <u>one month</u>. What does that mean? That means, our $20 monthly fee never changes. It happens once in the equation. So whatever we have, we add $20 to it, once.

The second thing to note is that we don't know how many movies are being rented. But! We already have a variable m for how many movies are being charged. So to find the number of movies, we find $3 * m, or $3m.

Finally, we know how much the monthly fee is and we know how much the movies are, so we add those together to find the total cost:

c = 3m + 20

*Note: Your grader may or may not want $ signs next to each number. It is doubtful they would, and I've never seen it, but just in case, your actual answer would be: $(c = 2m + 20)

OLga [1]3 years ago
4 0

Answer:

3m + 20 = C

Step-by-step explanation:

I Don't know But trust me

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Lyrx [107]
Answer: Cylinder 1 - 25.1327412283 cubic cm
Cylinder 2 - 100.5309469149 cubic cm
Cylinder 3 - 226.1946710585 cubic cm

For each of the cylinders, we will need to use the same formula, h(pi(r squared)).

Cylinder 1 - 8(pi(1 squared)). 1 squared = 1. pi × 1 = 3.1415926536. 3.1415926536 × 8 = 25.1327412283 cubic cm.

Cylinder 2 - 8(pi(2 squared)). 2 squared = 4. 4 × pi = 12.5663706144. 12.5663706144 × 8 = 100.5309469149 cubic cm.

Cylinder 3 - 8(pi(3 squared)). 3 squared = 9. 9 × pi = 28.2743338823. 28.2743338823 × 8 = 226.1946710585 cubic cm.

- Hope it helps!



5 0
3 years ago
Which is longer 3200 hours or 19 weeks
Katarina [22]
The 1 weeks is longer because the hours is like 53 days and the weeks are like 133 days

3 0
3 years ago
The probability density function of the time to failure of an electronic component in a copier (in hours) is f(x) for Determine
salantis [7]

The question is incomplete. Here is the complete question.

The probability density function of the time to failure of an electronic component in a copier (in hours) is

                                              f(x)=\frac{e^{\frac{-x}{1000} }}{1000}

for x > 0. Determine the probability that

a. A component lasts more than 3000 hours before failure.

b. A componenet fails in the interval from 1000 to 2000 hours.

c. A component fails before 1000 hours.

d. Determine the number of hours at which 10% of all components have failed.

Answer: a. P(x>3000) = 0.5

              b. P(1000<x<2000) = 0.2325

              c. P(x<1000) = 0.6321

              d. 105.4 hours

Step-by-step explanation: <em>Probability Density Function</em> is a function defining the probability of an outcome for a discrete random variable and is mathematically defined as the derivative of the distribution function.

So, probability function is given by:

P(a<x<b) = \int\limits^b_a {P(x)} \, dx

Then, for the electronic component, probability will be:

P(a<x<b) = \int\limits^b_a {\frac{e^{\frac{-x}{1000} }}{1000} } \, dx

P(a<x<b) = \frac{1000}{1000}.e^{\frac{-x}{1000} }

P(a<x<b) = e^{\frac{-b}{1000} }-e^\frac{-a}{1000}

a. For a component to last more than 3000 hours:

P(3000<x<∞) = e^{\frac{-3000}{1000} }-e^\frac{-a}{1000}

Exponential equation to the infinity tends to zero, so:

P(3000<x<∞) = e^{-3}

P(3000<x<∞) = 0.05

There is a probability of 5% of a component to last more than 3000 hours.

b. Probability between 1000 and 2000 hours:

P(1000<x<2000) = e^{\frac{-2000}{1000} }-e^\frac{-1000}{1000}

P(1000<x<2000) = e^{-2}-e^{-1}

P(1000<x<2000) = 0.2325

There is a probability of 23.25% of failure in that interval.

c. Probability of failing between 0 and 1000 hours:

P(0<x<1000) = e^{\frac{-1000}{1000} }-e^\frac{-0}{1000}

P(0<x<1000) = e^{-1}-1

P(0<x<1000) = 0.6321

There is a probability of 63.21% of failing before 1000 hours.

d. P(x) = e^{\frac{-b}{1000} }-e^\frac{-a}{1000}

0.1 = 1-e^\frac{-x}{1000}

-e^{\frac{-x}{1000} }=-0.9

{\frac{-x}{1000} }=ln0.9

-x = -1000.ln(0.9)

x = 105.4

10% of the components will have failed at 105.4 hours.

5 0
3 years ago
When a business buys a fast food franchise, it is buying the recipes used at every restaurant with the same name. For example, a
den301095 [7]

Answer:

1 cup

Step-by-step explanation:

1/4= 6/24

1/3= 8/24                    --------

1/6= 4/24                    --------             24/24 = 1

1/8= 3/24                    

1/8= 3/24

8 0
3 years ago
Which of the following is the solution to 17 - 2x = -11?
Yuliya22 [10]

Answer:

(D)14

Step-by-step explanation:

17-2x=-11

17+11=2x

28=2x

28/2=2x/2

14=x

x=14

8 0
4 years ago
Read 2 more answers
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