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ivolga24 [154]
2 years ago
14

Your DVD membership costs $16 per month for 10 DVD rentals. Each additional DVD rental is $2. a. Write an equation in two variab

les that represents the monthly cost of your DVD rentals. b. Identify the independent and dependent variables. c. How much does it cost to rent 15 DVDs in one month?
Mathematics
1 answer:
Anarel [89]2 years ago
5 0

Answer:

a. C(x) = $16, if 0 ≤ x ≤ 10

   C(x) = 2x - 4 if x > 10

b. Independent: Number of DVD rentals

   Dependent: Monthly cost of rentals

c. $26

Step-by-step explanation:

a. The cost (C) of renting 'x' DVDs is given by:

If 10 ≤ x ≤ 10

C(x) = $16

If  x > 10

C(x) = 16 + 2(x-10)

C(x) = 2x - 4

b. Since the cost depends on the number of DVD rentals, cost is the dependent variable and number of DVD rentals is the independent variable.

c. For x = 15:

C(15) = 2*15 - 4

C(15) = $26

It costs $26 to tent 15 DVDs in one month

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Free_Kalibri [48]

um i would say 25 all together

8 0
3 years ago
Directions: Number the distances from the shortest to the longest: 1 being the shortest distance and 5 being the longest. Justif
sleet_krkn [62]

Answer: Number the distances from the shortest to the longest:

1. Hoboken, New Jersey, to New York City is 659,831 cm

2. Cleveland, Ohio, to Akron, Ohio, is 2,521,728 inches

3. Orlando, Florida, to Tampa, Florida, is 446,160 feet

4. Chicago, Illinois, to Milwaukee, Wisconsin, is 161,920 yards

5. Dallas, Texas, to Houston, Texas, is 385 km


Solution:

To compare, all the distances must be in the same unit, for example feet.


a. Dallas, Texas, to Houston, Texas, is 385 km

We must transform from km to feet:

385 km * (1,000 m / 1 km) * (100 cm / 1 m) * ( 1 in / 2.54 cm) * ( 1 feet / 12 in)=

(385*1,000*100*1*1)/(1*1*2.54*12) feet =

38,500,000/30.48 feet =

1,263,123.359 feet =

1,263,123 feet


b. Hoboken, New Jersey, to New York City is 659,831 cm

We must transform cm to feet:

659,831 cm * ( 1 in / 2.54 cm) * ( 1 feet / 12 in)=

(659,831*1*1)/(2.54*12) feet =

659,831/30.48 feet =

21,647.99868 feet =

21,648 feet


c. Orlando, Florida, to Tampa, Florida, is 446,160 feet


d. Cleveland, Ohio, to Akron, Ohio, is 2,521,728 inches

We must transform from inches to feet:

2,521,728 inches * ( 1 feet / 12 inches) =

(2,521,728*1) / 12 feet =

2,521,728/12 feet =

210,144 feet


e. Chicago, Illinois, to Milwaukee, Wisconsin, is 161,920 yards

We must transform from yards to feet:

161,920 yards * (3 feet / 1 yard) =

(161,920*3)/1 feet =

485,763 feet


Ordering the values in feet from the shortest to the longest:

21,648 feet < 210,144 feet < 446,160 feet < 485,763 feet < 1,263,123 feet


With the original units:

659,831 cm < 2,521,728 inches < 446,160 feet < 161,920 yards < 385 km


Then the order is:


1. Hoboken, New Jersey, to New York City is 659,831 cm

2. Cleveland, Ohio, to Akron, Ohio, is 2,521,728 inches

3. Orlando, Florida, to Tampa, Florida, is 446,160 feet

4. Chicago, Illinois, to Milwaukee, Wisconsin, is 161,920 yards

5. Dallas, Texas, to Houston, Texas, is 385 km

6 0
3 years ago
Without graphing, classify the following system as independent, dependent, or inconsistent. y=-3x+4 and 6x+2y=8
forsale [732]

Answer:

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Step-by-step explanation:

y=-3x+4 and 6x+2y=8

Lets solve the second equation for y and then substitute it in first equation

6x+2y=8

Subtract 6x on both sides

2y=-6x+8

Divide by 2 on both sides

y=-3x+4

Now we plug it in first equation for y

-3x+4=-3x+4

Add 3x on both sides

4=4

Both sides are same, they are equal. the system has infinite solutions.

They are said to be dependent

8 0
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Need help ASAP <br><br> Have a nice rest of your day <br> -Mellow
VMariaS [17]

Answer:

option c

Step-by-step explanation:

first, find the y-intercept:

the y-intercept is the point where the line intersects at the y-axis, in this case, at 3.

therefore, we can rule out all options except c, sincee the y-intercept is 3

hope this helps :)

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3 years ago
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miskamm [114]

Answer:

\boxed{ \text{B. }\frac{2}{ 3}}

Step-by-step explanation:

The scale factor (C) is the ratio of corresponding sides of the two pyramids.

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The scale factor is \boxed {\frac{2}{3}}.

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3 years ago
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