How to find the probability in a 2-card hand out of a deck of 52 cards that the cards will have different suits.

Answers

Answer 1

Answer: so there are 4 suits in a deck of cards, each suit containing 13 cards.
there is a 3/4 chance that 2 cards will have different suits, as there are more different possibilities than there are same.

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A car salesperson earns a 18% commission on every car sold. The salesperson sells a car for $37,560. What is the commission?

Answers

100% = $37,560

18% = ?

(18 × 37560) ÷ 100

= 676,080 ÷ 100

= $6760.8 commission

Bety compró 16 pares de calcetas, entre blancas y negras, y pagó $339. Los pares de calcetas blancas cuestan $24 y las negras $19. Plantea el sistema de ecuaciones y resuelve por el método que creas conveniente. Después toma foto y súbela en donde se indica.

Answers

Answer:

Sistema de ecuaciones:

x+y= 16

24x+19y=339

Respuesta:

x=7, y=9

Step-by-step explanation:

Con la información del enunciado puedes plantear las siguientes ecuaciones:

x= cantidad de calcetas blancas

y= cantidad de calcetas negras

x+y= 16 (1)

24x+19y=339 (2)

Para resolver las ecuaciones, debes iniciar despejando x en 1:

y=16-x (3)

Después, debes reemplazar (3) en (2) y despejar x para encontrar su valor:

24x+19(16-x)=339

24x+304-19x=339

5x=339-304

x=35/5

x=7

Luego, puedes reemplazar el valor de x en (3) para encontrar y:

y=16-x

y=16-7

y=9

De acuerdo a esto, x= 7, y=9.

What is this simplified using order of operations 100-20[18-2(5+2)]

Answers

Answer: 20

Step-by-step explanation:

Solve for a:
9a-54=36

Answers

Answer:

a=10

Step-by-step explanation:

Step 1: Add 54 to both sides.

9a−54+54=36+54

9a=90

Step 2: Divide both sides by 9.

9a\9 =90\9

a=10

Answer:

a=10

Step-by-step explanation:

Add 54 to both sides. You get 9a=90. Divide both sides by 9 and you get a=10.

A(x)=(2x-5)(x+1)-(5x-3)(2x-5)

Answers

Answer:

-8x² + 28x - 20

Step-by-step explanation:

To simplify the expression A(x) = ( 2x - 5 )( x + 1 ) - ( 5x - 3 )( 2x - 5 ), you can start by using the distributive propertyto expand both sets of parentheses and then combine like terms:

A ( x ) = ( 2x - 5 ) ( x + 1 ) - ( 5x - 3 ) ( 2x - 5 )

Expand the first set of parentheses.

( 2x - 5 ) ( x + 1 )

2x ( x ) + 2x ( 1 ) - 5 ( x ) - 5 ( 1 )

2x² + 2x - 5x - 5

Now, expand the second set of parentheses.

( 5x - 3 ) ( 2x - 5 )

5x ( 2x ) + 5x ( -5 ) - 3 ( 2x ) - 3 ( -5 )

10x² - 25x - 6x + 15

Now, let's combine like terms within each part.

2x² + 2x - 5x - 5 - ( 10x² - 25x - 6x + 15)

Distribute the negative sign to both terms in the second parentheses.

2x² + 2x - 5x - 5 - 10x² + 25x + 6x - 15

Combine like terms in the entire expression.

( 2x² - 10x² ) + ( 2x - 5x + 25x + 6x ) + ( -5 - 15 )

Simplify further.

-8x² + 28x - 20

∴ A ( x ) = -8x² + 28x - 20

Assume that the line passes through the point (−2,4) and is parallel to the line through the points ( −4,4) and (−5,−1).find the equation of this line in slope intercept form.

Answers

let m be the slope and b the y-intercept.

m=(y₂-y₁)/(x₂-x₁)

m= (-1-4)/(-5-(-4))

m= 6

y=mx+b

4=6(-4)+b

b=28

y=6x+28

(-2,4)

parallel means the slopes are the same:

4=6(-2)+b

4=-12+b

b=16

y=6x+16

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NEED URGENT HELP IMMEDIATELY!!!!!!!!! WILL GIVE BRAINLIEST FOR THE CORRECT ANSWER!!!!!!find the value of (a-b)(x-3)≤3x-7 if: a) a-b-3>0 b) a-b-3<0 c) a-b-3=0