Write six and eight hundred four ten-thousandths as a decimal number

Zahra compares two wireless data plans. Which equation gives the correct value of n, the number of GB, for which Plans A and B c

Elden [556K]

The equation which gives the correct value of n, the number of GB, for which Plans A and B cost the same is 8n = 20 + 6(n-2)

To determine which equation gives the correct value of n, the number of GB, for which Plans A and B cost the same, we will first solve the equations.

For the first equation

8n = 20 + 6n

Collect like terms

8n - 6n = 20

2n = 20

Then, n = 20 ÷ 2

n = 10 GB

For Plan A

No initial fee and $8 for each GB

Here, 10GB will cost 10 × $8 = $80

For Plan B

$20 for the first 2GB and $6 for each additional GB after the first 2

Here, 10GB will cost $20 + (8 × $6) = $20 + $48 = $68

∴ Plans A and B do not cost the same here.

For the second equation

8n = 20(2n) + 6

First, clear the bracket

8n = 40n + 6

Now, collect like terms

40n - 8n = 6

42n = 6

∴ n = 6 ÷ 42

n = 1/7 GB

For Plan A

No initial fee and $8 for each GB

Here, 1/7GB will cost 1/7 × $8 = $1.14

For Plan B

$20 for the first 2GB and $6 for each additional GB after the first 2

Here, 1/7GB will cost $20 (Since the lowest cost is $20)

∴ Plans A and B do not cost the same here.

For the third equation

8n = 20 + 6(n-2)

First, clear the brackets

8n = 20 + 6n - 12

Now, collect like terms

8n - 6n = 20 - 12

2n = 8

n = 8 ÷ 2

n = 4 GB

For Plan A

No initial fee and $8 for each GB

Here, 4GB will cost 4× $8 = $32

For Plan B

$20 for the first 2GB and $6 for each additional GB after the first 2

Here, 4GB will cost $20 + (2 × $6) = $20 + $12 = $32

Plans A and B do not cost the same here.

∴ Plans A and B do cost the same here

For the fourth equation

8n = 20 + 2n + 6

Collect like terms

8n - 2n = 20 + 6

6n = 26

n = $\frac{26}{6}$

n = $\frac{13}{3}$ GB or $4\frac{1}{3}$ GB

For Plan A

No initial fee and $8 for each GB

Here, $\frac{13}{3}$ GB will cost $\frac{13}{3}$ × $8 = $34.67

For Plan B

$20 for the first 2GB and $6 for each additional GB after the first 2

Here, $4\frac{1}{3}$ GB will cost $20 + ( $2\frac{1}{3}$ × $6) = $20 + $14 = $34

∴ Plans A and B do not cost the same here.

Hence, the equation which gives the correct value of n, the number of GB, for which Plans A and B cost the same is 8n = 20 + 6(n-2)

Learn more here: brainly.com/question/9371507

6 0

1 year ago

How to solve for X 5( x - 3)/2 - 1 = 9

liq [111]

Answer:

7

Step-by-step explanation:

5( x - 3)/2 - 1 = 9

5/2(x-3)-1=9

5/2x-15/2-1=9

5x-15-2=18

5x-17=18

5x=35

x=7

5 0

2 years ago

5. Find the radius of a cylinder with a volume of 150 in^3 and a height of 10 in.

kvasek [131]

Answer:

Hi there!

The correct answer is: 2.185 in

Step-by-step explanation:

The formula for the volume of cylinder is: V= Base * Height

where base is π * radius²

So given that information, we can first divide 10 on sides to get πr²= 15

then divide pi on both sides to get 4.7746 then square root both sides to get

r=2.185

7 0

2 years ago

Given that a^b = x, evaluate the following: 2a^3b+a^2b+a^b

Luda [366]

Answer:

2*x^3 + x^2 + x

Step-by-step explanation:

a^b = x

Then,

a^(2b) = a^b*a^b = x* x = x^2

a^(3b) = a^b*a^b*a^b = x*x*x = x^3

2*(a^3b) + (a^2b) + (a^b)

= 2*(x^3) + (x^2) + (x)

= 2*x^3 + x^2 + x

8 0

2 years ago

Solve the formula for h. Surface area of a cylinder: S=2πr2+2πrh

Natasha2012 [34]

I hope this helps you

h=S-2pi.r^2/2pi.r

7 0

2 years ago