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3 years ago

Mary covered her kitchen floor with

Mathematics

1 answer:

sineoko [7]3 years ago

6 0

Answer:

l x w / s

Step-by-step explanation:

Floor is covered with 10 tiles

Floor measurement: 6 feet length x 5 feet width

Area covered by floor = 6 x 5 = 30 square feet

Since there are 10 tiles, each tile = 30/10 = 3

Hence in terms of equation

if the length of the tile is l and the width w

If s is used to represent the size of each tile

number of tiles needed is l x w / s

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Help me with my math, please

Drupady [299]

M = -6/4

b = 7

equation : y = -6/4x+7

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2 years ago

Find the value of f(4) for the function.<br><br> f(a) = 2(a + 4)-4

mixer [17]

Step-by-step explanation:

4a=2a+4

C.L.T

4a-2a=4

2a=4

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2 years ago

Need help on geometry!!!

FromTheMoon [43]

The mid point of DE is (3,-1)
This can be found with Pythagorean Theorem

The length of “a” is 6. The length of “b” is 4.
The length of DE is ≈ 7.21. The midpoint of this value is found at coordinates (3,-1)

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3 years ago

Ayuda necesito resolver este problema con procedimiento ;)

Paraphin [41]

$x^3-2x^2+x-1$ is one of the prime factors of the polynomial

<h3>How to factor the expression?</h3>

The question implies that we determine one of the prime factors of the polynomial.

The polynomial is given as:

$x^8 - 3x^6 + x^4 - 2x^3 - 1$

Expand the polynomial by adding 0's in the form of +a - a

$x^8 - 3x^6 + x^4 - 2x^3 - 1 = x^8 -2x^7 + 2x^7 - 4x^6 +x^6 + 2x^5 -2x^5- 3x^4 + 4x^4 + 2x^3 -6x^3+2x^3- x^2 -3x^2 +4x^2-2x+2x-1$

Rearrange the terms

$x^8 - 3x^6 + x^4 - 2x^3 - 1 = x^8 -2x^7 + 2x^5 - 3x^4 + 2x^3 - x^2 + 2x^7 - 4x^6 + 4x^4 -6x^3+4x^2-2x+x^6-2x^5+2x^3-3x^2+2x-1$

Factorize the expression

$x^8 - 3x^6 + x^4 - 2x^3 - 1 = x^2(x^6-2x^5+2x^3-3x^2+2x-1) + 2x(x^6-2x^5+2x^3-3x^2+2x-1) + 1(x^6-2x^5+2x^3-3x^2+2x-1)$

Factor out x^6-2x^5+2x^3-3x^2+2x-1

$x^8 - 3x^6 + x^4 - 2x^3 - 1 = (x^2+2x + 1)(x^6-2x^5+2x^3-3x^2+2x-1)$

Express x^2 + 2x + 1 as a perfect square

$x^8 - 3x^6 + x^4 - 2x^3 - 1 = (x+1)^2(x^6-2x^5+2x^3-3x^2+2x-1)$

Expand the polynomial by adding 0's in the form of +a - a

$x^8 - 3x^6 + x^4 - 2x^3 - 1 = (x+1)^2(x^6- 2x^5+x^4-x^4-x^3 +x^3-2x^3-x^2 -2x^2 +x+x - 1)$

Rearrange the terms

$x^8 - 3x^6 + x^4 - 2x^3 - 1 = (x+1)^2(x^6- 2x^5+x^4-x^3-x^4-2x^3-x^2+x+x^3-2x^2 +x - 1)$

Factorize the expression

$x^8 - 3x^6 + x^4 - 2x^3 - 1 = (x+1)^2(x^3(x^3-2x^2+x-1) -x(x^3-2x^2+x-1)+1(x^3-2x^2+x-1))$

Factor out x^3-2x^2+x-1

$x^8 - 3x^6 + x^4 - 2x^3 - 1 = (x+1)^2(x^3 -x+1)(x^3-2x^2+x-1)$

One of the factors of the above polynomial is $x^3-2x^2+x-1$ .

This is the same as the option (c)

Hence, $x^3-2x^2+x-1$ is one of the prime factors of the polynomial

Read more about polynomials at:

brainly.com/question/4142886

#SPJ1

4 0

2 years ago

You know that your bill before tax is $52.60 and that sales tax rate is 8%. You decide to leave a 20% tip for the waiter. How mu

timofeeve [1]

Answer:

$10.52 tip should be given to the waiter.. The total bill including tax is $67.33

Step-by-step explanation:

We are given the following in the question:

Pre-tax amount = $52.60

Tip percentage = 20%

Tax percentage = 8$

Tip value =

$20\% \times 52.60\\\\=\dfrac{20}{100}\times 52.60\\\\=10.52\$$

Thus, $10.52 tip should be given to the waiter.

Tax value =

$8\% \times 52.60\\\\=\dfrac{8}{100}\times 52.60\\\\=4.21\$$

Total bill =

Pre tax amount + Tip + Tax

$=52.60 + 10.52 + 4.21\\=67.33$

Thus, the total bill including tax is $67.33

4 0

3 years ago