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ikadub [295]
3 years ago
9

One month kris rented 3 movies and 8 video games for a total of $53. the next month she rented 5 movies and 2 video games for a

total of $26. find the rental cost
Mathematics
1 answer:
SCORPION-xisa [38]3 years ago
6 0
Make a system of equations and solve for each variable.

3m+8v=53
5m+2v=26

m= movie cost
v= game cost

multiply the bottom equation by 4(combination method)

3m+8v=53
20m+8v=104. Subtract

-17m = -51
m= 3

Plug back into one of the equations

5(3)+2v=26
15+2v=26
2v=11
v=5.5

m=$3
v=$5.5


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the cylinder has radius 4√3 and hight h. the total surface area of the cylinder is 56π√6. find the exact value of h giving the a
Arte-miy333 [17]

The area of the cylinder is a function of its height (h) and radius, (\mathbf{4\sqrt 3})

The exact value of h is: \mathbf{7\sqrt 2- 4\sqrt 3}

The given parameters are:

\mathbf{Area =56\pi\sqrt 6}

\mathbf{r=4\sqrt 3}

The surface area of a cylinder is calculated as:

\mathbf{Area = 2\pi rh + 2\pi r^2}

Substitute values for Area

\mathbf{56\pi\sqrt 6= 2\pi rh + 2\pi r^2}

Divide through by pi

\mathbf{56\sqrt 6= 2 rh + 2r^2}

Substitute value for r

\mathbf{56\sqrt 6= 2 (4\sqrt 3)h + 2(4\sqrt 3)^2}

\mathbf{56\sqrt 6= 8h\sqrt 3 + 2\times 48}

\mathbf{56\sqrt 6= 8h\sqrt 3 + 96}

Collect like terms

\mathbf{8h\sqrt 3 = 56\sqrt 6- 96}

Make h the subject

\mathbf{h = \frac{56\sqrt 6}{8\sqrt 3}- \frac{96}{8\sqrt 3}}

\mathbf{h = 7\sqrt 2- \frac{12}{\sqrt 3}}

Rationalize

\mathbf{h = 7\sqrt 2- \frac{12\sqrt 3}{3}}

\mathbf{h = 7\sqrt 2- 4\sqrt 3}

Hence, the exact value of h is: \mathbf{7\sqrt 2- 4\sqrt 3}

Read more about surface areas t:

brainly.com/question/25131428

5 0
2 years ago
Peterkin park has a square fountain with a walkway aroind it. The fountain measures 12 feet on each side. The walkway is 3 1/2 f
Black_prince [1.1K]

Answer: 829.44 ft²

Step-by-step explanation:

Correction - The walkway is 31.2 feet wide.

To solve this, first find the area of the fountain:

Area of a square = Length * Width

= 12 * 12

= 144 ft²

The find the area of the walkway including the fountain:

= 31.2 * 31.2

= ‭973.44‬ ft²

To find the area of the walkway alone, subtract the area of the square from the area of the rectangle:

= 973.44 - 144

= 829.44 ft²

3 0
3 years ago
Pls help
kvasek [131]

Answer:

Same to me he sent a link to like almost every question it didn't work for me

Step-by-step explanation:

6 0
3 years ago
​​​​​​Jocelyn gave the cashier $50 to pay for 3 shirts. The cashier gave her $5.03 in change. Each shirt cost the same amount. W
Goryan [66]

Answer:

14.9

Step-by-step explanation:

50-5.03 = 44.97

44.97 ÷ 3 = 14.99

8 0
2 years ago
Susan walks 10 feet in 4 steps at this rate how many steps will it take her to walk 1 mile
dolphi86 [110]

Answer:

2112 Steps

Step-by-step explanation:

8 0
3 years ago
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