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Mariulka [41]
3 years ago
9

department store sells a pair of shoes with a 33% discount coupon. If the store orignially sold the shoes for $55.25, what is th

e sale price?
Mathematics
1 answer:
dimaraw [331]3 years ago
3 0

Answer:

The sale price is $37.02.

Step-by-step explanation:

With the information provided, you can find the sale price by calculating 33% of the price which is the discount and subtracting that amount from the price:

$55.25*33%=$18.23

$55.25-$18.23=$37.02

According to this, the answer is that the sale price is $37.02.

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A commander wants to arrange his soldiers in such a way that the number of row is equal to the number of columns. If the total n
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The gift-wrapping service in one store offers a choice of red or white ribbon with a choice of red, white, green, or blue paper.
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Step-by-step explanation:

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3 years ago
Using the binomial theorem , obtain the expansion of :
andrezito [222]

Answer:

see explanation

Step-by-step explanation:

Expand both factors and collect like term

Using Pascal' triangle with n = 6 to obtain the coefficients

1  6  15  20  15  6  1

Decreasing powers of 1 from 1^{6} to 1^{0}

Increasing powers of 3x from (3x)^{0} to (3x)^{6}

1+3x)^{6}

= 1.1^{6}(3x)^{0} + 6.1^{5}(3x)^{1} + 15.1^{4}(3x)^{2} + 20.1^{3}(3x)^{3} + 15.1²(3x)^{4} + 6.1^{1}(3x)^{5} + 1.1^{0}(3x)^{6}

= 1 + 18x + 135x² + 540x³ + 1215x^{4} + 1458x^{5} + 729x^{6}

--------------------------------------------------------------------------------------

(1-3x)^{6}

= 1.1^{6}(-3x)^{0} + 6.1^{5}(-3x)^{1} + 15.1^{4}(-3x)^{2} + 20.1^{3}(-3x)^{3} + 15.1²(-3x)^{4} + 6.1^{1}(-3x)^{5} + 1.1^{0}(-3x)^{6}

= 1 - 18x + 135x² - 540x³ + 1215x^{4} - 1458x^{5} + 729x^{6}

----------------------------------------------------------------------------------

Collecting like terms from both expressions

(1+3x)^{6} + (1-3x)^{6}

= 2 + 270x² + 2430x^{4} + 1458x^{6}

----------------------------------------------------

(2)

Using Pascal's triangle with n = 5

1  5  10  10  5  1

Decreasing powers of 1 from 1^{5} to 1^{0}

Increasing powers of 2x from (2x)^{0} to (2x)^{5}

(1+2x)^{5}

= 1.1^{5}(2x)^{0} + 5.1^{4}(2x)^{1} + 10.1^{3}(2x)^{2} + 10.1^{2}(2x)^{3} + 5.1^{1}(2x)^{4}+ 1.1^{0}(2x)^{5}

= 1 + 10x + 40x² + 80x³ + 80x^{4} + 32x^{5}

8 0
3 years ago
Simplify the following expression. 33.414 - 33.36
jeyben [28]

Answer:

Step-by-step explanation:

33.414−33.36

=33.414−33.36

=33.414+−33.36

=0.054

6 0
4 years ago
Read 2 more answers
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