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NISA [10]
2 years ago
9

A video game store allows customers to rent games for 4.75 each. Customers can also buy a membership for $54 annually, and video

games would only cost $2.50 each. Write and solve an equation to find the number of video games a customer would have to rent in a year in order for the two options to be equal...
equation:
solutionx(games):
Mathematics
1 answer:
ankoles [38]2 years ago
3 0
Answer:

24 video games

Step-by-step explanation:

Let x represent number of video games.
We have been given that a video game store allows customers to rent games for $4.75 each. So the cost of renting x video games would be 4.75x.

We are also told that customers can also buys a membership for $54 annually, and video games would only cost $2.50 each. The cost of renting x video games after membership would be 2.50x + 54

To find the number of video-games that will cost same for both options, we will equate both expressions as:

4.75x = 2.50x + 54
4.75x - 2.50x = 2.50x - 2.50x + 54


Therefore, a customer would have rent 24 video games in a year in order for the two options to be equal.
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Find the missing side length. Round to the nearest tenth.<br>15 cm<br>9 cm​
vazorg [7]
Using Pythagorean’s theorem
a^2 +b^2= c^2
We know
c=15
b=9
a=?
Sub that in the Pythagorean’s theorem
a^2+9^2 = 15^2
a^2 + 81 = 225
a^2= 225-81
a^2 = 144
a= square root of 144
a= 12

Therefore the answer is 12
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3 years ago
Solve this question and help save my life!
vlada-n [284]

The next two term is 13 and 16 respectively.

Step-by-step explanation:

here,

a1 = -2

a2 = 1

a3 = 4

a4 = 7

a5 = 10

So, d = <u>a2 - a1</u> = 1 - (-2) = 3

= <u>a3 - a2</u> = 4 - 1 = 3

Here, <u>Common difference</u> is <u>same everywhere</u> and the value of d is 3

Then,

<em>To find 6th term of this sequence</em>

<u>a6 = a5 + d</u>

= 10 + 3

a6 = 13

<em>To find </em><em>7</em><em>t</em><em>h term of this sequence</em>

<u>a7 = a6 + d</u>

= 13 + 3

a7 = 16

Thus, The next two term is 13 and 16 respectively.

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7 0
2 years ago
Given f(x)= 8x^{15}+6x^{8}-3x^{3}+5x^{2}, the degree is
igor_vitrenko [27]

Answer:

Step-by-step explanation:

2. Degree = 15

6 0
3 years ago
Carissa also has a sink that is shaped like a half sphere. The sink has a volume of 4000/ 3 * π in 3. One day, her sink clogged.
givi [52]

Answer:

Part a) 119 cups

Part b) 30 cups

Step-by-step explanation:

Part a)

step 1

Find the volume of the conical cup with a diameter of 4 in. and a height of 8 in

The volume of the cone (cup) is equal to

V=\frac{1}{3}\pi r^{2}h

we have

r=4/2=2\ in ----> the radius is half the diameter

h=8\ in

assume

\pi =3.14

substitute

V=\frac{1}{3}(3.14)(2^{2})8=33.49\ in^3

step 2

Find out how many cups of water must Carissa scoop out of the sink

Divide the volume of the sink by the volume of the cup

so

\frac{4,000}{33.49}= 119\ cups

Part b)

step 1

Find the volume of the conical cup with a diameter of 8 in. and a height of 8 in

The volume of the cone (cup) is equal to

V=\frac{1}{3}\pi r^{2}h

we have

r=8/2=4\ in ----> the radius is half the diameter

h=8\ in

assume

\pi =3.14

substitute

V=\frac{1}{3}(3.14)(4^{2})8=133.97\ in^3

step 2

Find out how many cups of water must Carissa scoop out of the sink

Divide the volume of the sink by the volume of the cup

so

\frac{4,000}{133.97}= 30\ cups

7 0
3 years ago
The question in the picture please help.
Iteru [2.4K]

Answer:

a

Step-by-step explanation:

because i got it right

7 0
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