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seraphim [82]
2 years ago
12

One month Justin rented 3 movies and 5 video games for a total of $39. The next month he rented 9 movies and 7 video games for a

total of $63. Find the rental cost for each movie and each video game.​
Mathematics
1 answer:
Leviafan [203]2 years ago
5 0

Let m be the rental cost for movies.

Let v be the rental cost for video games.

We have the following system of linear equations:

3m + 5v= 38

6m + 2v = 26

Multiply the first equation by 2

6m + 10v = 76

6m + 2v = 26

Subtract the both equations.

8v = 50

Divide both sides by 50.

v = 6.25

Plug this value into any of the two equations to solve for m.

You get m=2.25

The rental cost for a movie is

<h2>$2.25</h2>

The rental cost for a video game is

<h2>$6.25 </h2>

Have an awesome day! :)

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3. Which of the following is an exponential function?
lukranit [14]

Answer:

B is correct I hope this helps.

4 0
1 year ago
A smart phone regularly sells for $180.00 but is on sale for 30% off. What is the amount of the discount?
pantera1 [17]

Answer:

$54

Step-by-step explanation:

The amount of the discount can be found by multiplying 180 by 0.3 which is 54.

If you also need to know the new total it would be $126 because

180 - 54 = 126

4 0
3 years ago
I need help with both
uranmaximum [27]

Answer:

Part 1: 114,570,685 people

Part 2: The population grew by 2.5% (1,722,862 people)

Step-by-step explanation:  For part 1 you would multiply 100,236,820 by 1.143 because of the fact that your percentage is increasing.  so the 1 before the decimal point stands for 100% of the starting number and the .143 stands for the 14.3% that the population is increasing by.  


Part 2 you would divide 53,594,378 by 55,317,240 to get approximately .975.  .975 shows that 53,594,378 is about 97.5% of 55,317,240.  You then subtract the numbers 100 and 97.5 to get 2.5.  2.5 is the percentage that the population is increasing by.  So, then you could just subtract 55,317,240 and 53,594,378 to get 1,722,862.  This is the amount of people the population increased by.  Then you just put your answer that the population increased.  That it increased by 2.5% and 2.5%= 1,722,862 people

I hope this helps you :)

7 0
3 years ago
Find the angle of depression from the top of a lighthouse, 260 feet above water to a ship that's 270 feet offshore?
expeople1 [14]

Answer: OPTION C.

Step-by-step explanation:

Observe the triangle ABC attached.

Notice that the angle of depression is represented with \alpha.

Knowing that the top of a lighthouse is 260 feet above water and the ship is 270 feet offshore, you can find the value of  \alpha by using arctangent:

\alpha= arctan(\frac{opposite}{adjacent})

In this case you can identify that:

opposite=260\\adjacent=270

Therefore, substuting values into  \alpha= arctan(\frac{opposite}{adjacent}), you get that the angle of depression is:

 \alpha= arctan(\frac{260}{270})\\\\\alpha=43.92\°

4 0
3 years ago
Sheila bought some rose plants and sunflower plants.There were 35 rose plants than sunflower plants.If the ratio of the rose pla
DENIUS [597]
So assuming that youmeans there were 35 MORE rose plants than sunflower seeds, then

Rose:Sunflower =8:3

rose=sunflower+35
therefor

8 units=rose
3 units=sunflowers

rose-35=sunflower
8unit-35=3unit
5unit-35=0
5unit=35
therefor
35=5unit
divide by 5
7=1unit


so 8 units of roses

7 times 8=56

3 units of sunflowers
3 times 7=21

rose=56
sunflower=21
6 0
3 years ago
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