What is the equation of the line that is parallel to the given line and has an X intercept of -3

Mathematics

1 answer:

icang [17]3 years ago

3 0

Answer:

X=-3

X+3=0

Step-by-step explanation:

Yhat is the equation

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The sum of two numbers is 56. the sum of the smaller and 5 times the larger is 192. find the numbers.

Kamila [148]

Let the numbers = x,y

x+y = 56 1st eqn

x+5y = 192 2nd eqn

56-y+5y = 192

4y = 136

y = 34

substitute that in 1st eqn, x = 56-34 = 22

So, smaller number = 22 & Larger number = 34

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3 years ago

Bryan cut two peaches He cut one into fourths and the other into sixth s. Bryan ate 3/4 of the first peach his brother ate 5/6 o

Pie

His brother. If you make the fractions have the same denominator, they'd be 9/12 and 10/12. 10/12 is equal to 5/6 making 5/6 the greater fraction therefore his brother ate the most peach.

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4 years ago

A flush in the card game of poker occurs if a player gets five cards that are all the same suit (clubs, diamonds, hearts, or

Artyom0805 [142]

Answer:

The probability is 0.000495

Step-by-step explanation:

As per the question:

Total no. of cards in a deck = 52

No. of spades in a deck = 13

Now, we have to select 5 cards in a deck such that they belong to the same suit, i.e., spades.

The no. of ways of selecting 5 cards from a deck = $^{52}C_{5} = \frac{52!}{5!(52 - 5)!} = \frac{52!}{5!47!}$

The no. of ways of selecting 5 cards from 13 spade cards = $^{13}C_{5} = \frac{13!}{5!(13 - 5)!} = \frac{13!}{5!8!}$

Now,

Probability that the selected 5 cards are all spades, P(E) = $\frac{No.\ of\ ways\ of\ selecting\ 5\ cards\ from\ 13\ spade\ cards}{No.\ of\ ways\ of\ selecting\ 5\ cards\ from\ a\ deck}$

P(E) = $\frac{^{13}C_{5}}{^{52}C_{5}}$

P(E) = $\frac{\frac{13!}{5!8!}}{\frac{52!}{5!52!}}$

P(E) = $\frac{\frac{13\times 12\times 11\tiems 10\times 9}{5\times 4\times 3\times 2\times 1}}{\frac{52\times 51\times 50\times 49\times 48}{5\times 4\times 3\times 2\times 1}}$