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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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An experience bricklayer can construct a small wall in 3 hours. An apprentice can complete the job in 5 hours. Find how long it
Over [174]

Answer:

Step-by-step explanation:

If the bricklayer can construct the wall in its entirety in 3 hours, then he can get 1/3 of the job done in an hour.

If the apprentice can get the whole job done in 5 hours, then he can get 1/5 of the job done in an hour. If they both work together on said job, the equation is

\frac{1}{3}+\frac{1}{5}=\frac{1}{x} and now we solve for x. Multiply everything by the LCM to get rid of the fractions. That would be 15x:

15x(\frac{1}{3}+\frac{1}{5}=\frac{1}{x}) and doing that gives us

5x + 3x = 15 and

8x = 15 so

x = 1.875 hours which is 1 7/8 hours which is also 1 hour and 52 1/2 minutes.

3 0
2 years ago
3
snow_tiger [21]

Answer:

12 combinations

Step-by-step explanation:

7 0
3 years ago
Use the Distributive Property and mental math to find the product. 7(28)<br> I need this quick.
Luda [366]

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196

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8 0
3 years ago
On a road trip, a family drives 350 miles per day. How many days, d, must they travel to reach a distance of at least 1,400 mile
Semenov [28]

Answer:

Inequality symbol = ≥

Solution = d≥4

Step-by-step explanation:

If a family drives 350 miles per day, then;

1 day = 350 miles

To determine the number of days they will use to reach at least 1400mles

d days = 1400miles

Divide both expressions

1/d = 350/1400

Cross multiply

350 * d = 1400

350d = 1400

Since we are told that it ia at least 1400miles, this means the total miles can be greater than 1400. Hence the correct inequality sign to use will be a greater than or equal to sign(≥).

The expression above becomes 350d ≥ 1400

Divide both sides by 3350

350d ≥ 1400/350

d≥ 4

Hence the solution that represent the situation is d≥ 4

8 0
3 years ago
P divided by 8.2 = 9.3<br> who is smart
Svet_ta [14]
P=1886/25 or 75 11/25

Hope this helps :)
8 0
2 years ago
Read 2 more answers
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