To write this in standard form, you need to eliminate the fraction in the coefficient of variable x. You can do this by multiplying 8 to the two sides of the equation:

8(y) = 8[(-5/8)x + 3]

8y = -5x + 24

Transpose the variable x to the other side:

5x + 8y = 24

6 0

2 years ago

In a standard deck of playing cards, one-fourth of the cards are hearts.

makkiz [27]

Answer:

$\sf D) \quad \dfrac{1}{64}$

Step-by-step explanation:

$\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}$

Probability of drawing a heart from one deck:

$\sf \implies P(heart)=\dfrac{1}{4}$

Therefore, probability of drawing a heart from each of 3 decks:

$\sf \implies P(heart)\:and\:P(heart)\:and\:P(heart)=\dfrac{1}{4} \times \dfrac{1}{4} \times \dfrac{1}{4}=\dfrac{1}{64}$

7 0

2 years ago