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2 years ago

A 6-pack of toilet paper costs $5.40. A 12-pack of toilet paper costs $11. Which package offers the best price per roll?

Mathematics

1 answer:

igomit [66]2 years ago

5 0

Answer: 6-pack.

Step-by-step explanation:

assuming there’s no tax, the 6-pack would offer the best price per roll.

for 12 rolls w/ the 6 pack it’d be 10.80 which divided by 12 is .9(0)a roll. Where as the 12 for 11 is roughly .91 . So the 6-pack is a better offer.

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What is m<4+m<5+m<6?

viktelen [127]

Answer:

Step-by-step explanation:

$m$

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3 years ago

Nonlinear Systems of Equations

zheka24 [161]

The square root and cube root identities are proved.

According to the statement

we have to find that the use of the square root identity (x − y)2 = x2 − 2xy + y2

And use of cube root identity a3 + b3 = (a + b)(a2 − ab + b2).

So, For this purpose, we know that the

A. Let us assume the two conditions.

So,

2x + 3y = 6 -(1)

4x + 7y = 8 -(2)

Here we use elimination method

So, Multiply 4 with (1) and 2 with (2)

8x + 12y = 24

8x + 14y = 16

Now eliminate x from these equations

-2y = 8

here y is -4.

and the x become

2x + 3y = 6

2x -12 = 6

2x = 18

x = 9.

B. For the use of identity $(x- y)^{2} = x^{2} - 2xy + y^{2}$

Let us assume a number 26 and 28 then fill it in the condition then

$(28- 26)^{2} = 28^{2} - 2(28)(26) + 26^{2}$

Then

$(28- 26)^{2} = 784 - 1456 + 676$

$(28- 26)^{2} = 4$

And we have to prove the cube root identity then

The identity is

$a^{3} + b^{3} = (a + b)(a^{2} - ab + b^{2})$

Then let us assume the number 8 and 9 then

$a^{3} + b^{3} = (a + b)(a^{2} - ab + b^{2})$

$8^{3} + 9^{3} = (8 + 9)(8^{2} - 8*9 + 9^{2})$

$8^{3} + 9^{3} = (17)(64 - 72 + 81)$

$8^{3} + 9^{3} = (17)(73)$

$8^{3} + 9^{3} = (1241)$

Hence by this way we prove the square and cube root identities.

So, The square root and cube root identities are proved.

Learn more about square root and cube root here

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1 year ago

Consider the following discrete time process: at integer times, a marble arrives which can be one of m colors. Each color is equ

Flauer [41]

Answer:

Below are the responses to the given question:

Step-by-step explanation:

Let X become the random marble variable & g have been any function.

Now.

For point a:

When X is discreet, the g(X) expectation is defined as follows

Then there will be a change of position.

E[g(X)] = X xâˆˆX g(x)f(x)

If f is X and X's mass likelihood function support X.

For point b:

When X is continuing the g(X) expectations is calculated as, E[g(X)] = Z âˆž âˆ’âˆž g(x)f(x) dx, where f is the X transportation distances of probability.If E(X) = âˆ’âˆž or E(X) = âˆž (i.e., E(|X|) = âˆž), they say it has nothing to expect from EX is occasionally written to stress that a specific probability distribution X is expected.Its expectation is given in the form of,E[g(X)] = Z x âˆ’âˆž g(x) dF(x). , sometimes for the continuous random vary (x). Here F(x) is X's distributed feature. The anticipation operator bears the lineage of comprehensive & integral features. The superposition principle shows in detail how expectation maintains equality and is a skill.

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3 years ago

Is 4x - 3 = 19 true, false or open?

docker41 [41]

False. nothing (X) times anything - 3 =19

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3 years ago

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ipn [44]

0.0058 is 0.58% (I think so)

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3 years ago

A 6-pack of toilet paper costs $5.40. A 12-pack of toilet paper costs $11. Which package offers the best price per roll?​

A 6-pack of toilet paper costs $5.40. A 12-pack of toilet paper costs $11. Which package offers the best price per roll?