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Ilia_Sergeevich [38]
3 years ago
11

One month Sam rented 3 movies and 8 video games for a total of $55 . The next month he rented 5 movies and 2 video games for a t

otal of $18 . Find the rental cost for each movie and each video game.
Mathematics
1 answer:
coldgirl [10]3 years ago
5 0

Answer:

Step-by-step explanation:

You are trying to find the values of two quantities, so you will need to set up a system of two equations in two variables. We'll call M the price of a movie and V the price of a video game.

The first month: 3 movies, 8 video games, $55. Let's translate this into algebra:

3M + 8V = 55

The second month: 5 movies, 2 video games, $18. Translated:

5M + 2V = 18

Solve that system of equations

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A water storage tank has the shape of a cylinder with diameter 14 ft. It is mounted so that the circular cross-sections are vert
andrezito [222]

Answer:

percentage of the total capacity is 75.6%

Step-by-step explanation:

Hello! To solve this problem we follow the following steps

1. draw the complete scheme of the problem (see attached image)

2. To solve this problem we must find the area of ​​the circular sector using the following equation.(c in the second attached image)

A=\frac{R^2}{2} (\alpha -sin\alpha )

\alpha =2arccos(\frac{d}{R})

3. observing the attached images we replace the values ​​in the equations and find the area of ​​the circular sector, remember that you must transform the angle to radians

\alpha =2arccos(\frac{5}{7})=88.83

A=\frac{R^2}{2} (\alpha -sin\alpha )\\A=\frac{7^2}{2} (88.83-sen88.83)*\frac{\pi rad}{180} =37.57ft^2

4.we calculate the area of ​​the total circle (At), then subtract the area of ​​the circular sector (Ac) to find the area occupied by water (Aw)

At=\frac{\pi }{4} (14ft)^2=153.93ft^2

Aw=At-Ac=153.93-37.57=116.36ft^2

5.Finally, we calculate the percentage that represents the water in the tank by dividing the area of ​​the water over the total area of ​​the tank

\frac{116.36}{153.93} *100=75.6

percentage of the total capacity is 75.6%

3 0
3 years ago
A regular hexagon is inscribed in a circle with a radius of 4 yd. Find the area of the shaded region shown.
dlinn [17]
A watch decreased in price by
4
5
. After the reduction it was priced at £10. What was the original price of the watch?
3 0
3 years ago
Help solve 88 please
Fofino [41]

Answer:

The equation of the line is y = -2x + 7

Step-by-step explanation:

* Lets study how to make an equation of the line from two point

- If the line passes through points (x1 , y1) and (x2 , y2)

- The form of the equation is y = mx + c, where m is the slope of the

 line and c is the y-intercept

- The rule of the slope is m = (y2 - y1)/(x2 - x1)

- The y-intercept means the line intersect the y-axis at point (0 ,c)

* Now lets solve the problem

∵ The line passes through points (-3 , 13) and (4 , -1)

- Let (-3 , 13) is (x1 , y1) and (4 , -1) is (x2 , y2)

∵ m = (y2 - y1)/(x2 - x1)

∴ m = (-1 - 13)/(4 - -3)

∴ m = (-14)/7 = -2

- Lets write the form of the equation

∵ y = mx + c ⇒ substitute the value of m

∴ y = -2x + c

- To find the value of c use one of the two points to substitute the

  values of x and y in the equation

∵ The line passes through (4 , -1)

∴ -1 = -2(4) + c

∴ -1 = -8 + c ⇒ add 8 to both sides

∴ -1 + 8 = -8 + 8 + c

∴ 7 = c

∴ y = -2x + 7

* The equation of the line is y = -2x + 7

4 0
3 years ago
Luke earned a salary of 48,048 last year. how much did he earn per month?
viktelen [127]
$4004 just take 48048 and divide that by 12 to get your answer
5 0
3 years ago
Read 2 more answers
Find the equation in the slope intercept form of a line that goes through the point (2,-6) and has the slope of (-1/3)
Llana [10]

Answer:

y = -1/3x - 5 1/3

Step-by-step explanation:

Slope Intercept =

y=mx + b

Substitute the Slope

y= -1/3x + b

Substitute x and y from the point into the equation

-6 = -1/3(2) + b

-6 = -2/3 +b

Isolate the b with the addition property of equality

-5 1/3 = b

Substitute all variables

y = -1/3x - 5 1/3

8 0
3 years ago
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