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Oxana [17]
3 years ago
14

How many solutions does this system of linear equations have? Explain. 3y + 6x = 12 8x + 4y = 16

Mathematics
1 answer:
Vilka [71]3 years ago
3 0

Answer:

first equation : 3y + 6×=12

second equation : 4y + 8x = 16

Step-by-step explanation:

first equation

3y + 6× = 12

now take the common ,

3( y + 2x ) = 12

so, y + 2x = 4

second equation

4y + 8x = 16

4 ( y + 2x ) = 16

so, y + 2x = 4

two lines with same equation have infinitely many solution . these two equations are the same so there are infinitely many solution .

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Give an equation of a line that is parallel to −3x + 7y =4. Explain why your line is parallel to the given line and how you arri
koban [17]

Answer:

  3x -7y = 0

Step-by-step explanation:

Parallel lines have the same slope.

Changing the constant in a linear equation like this only changes the y-intercept. It has no effect on the slope of the line. So, we can change the constant from 4 to 0 and we will have a line with the same slope, parallel to the original, but with a different y-intercept.

The "standard form" of the equation of a line has the leading coefficient positive. We can make that be the case by using the multiplication property of equality, multiplying both sides of the equation by -1.

Parallel line:

  -3x +7y = 0

In standard form:

  3x -7y = 0

3 0
2 years ago
If a standard 6 sided dice is rolled. (Write your answers as a decimal, rounded to the nearest hundredth.) Find: a. Probability
pshichka [43]

Answer:

see below

Step-by-step explanation:

The possible outcomes are 1,2,3,4,5,6

P( a prime number and a multiple of two)

The only prime number that is a multiple of 2 is 2

P( a prime number and a multiple of two) = number of outcomes / total outcomes

P( a prime number and a multiple of two) = 1/6 = .17

P(3 or a prime number)

The prime numbers are 2,3,5  and 3 is included in this list so we have 3 outcomes

P( 3 or a prime number) = number of outcomes / total outcomes

P( 3 or a prime number) =3/6 =1/2= .5

P(3 U Multiple of 2)

Multiples of 2 are 2,4,6 and add 3 to the list  so there are 4 outcomes

P( 3 U Multiple of 2) = number of outcomes / total outcomes

P( 3 or a prime number) =4/6 =2/3= .67

P(2 U Even number)

even numbers are 2,4,6 and 2 is on the list  so there are 3 outcomes

P( 2 U Even number) = number of outcomes / total outcomes

P( 3 or a prime number) =3/6 =1/2= .5

4 0
3 years ago
A video rental store keeps a list of their top 15 movie rentals each week. This week the list includes 6 action, 4 comedies, 3 d
azamat

Answer:

<h2>32/1125</h2>

Step-by-step explanation:

Probability is the likelihood or chance that an event will occur.

Probability = Expected outcome of event/Total outcome.

If a video rental store keeps a list of their top 15 movie rentals each week, the total outcome is 15.

If the list for the week includes 6 action, 4 comedies, 3 dramas, and 2 mysteries and the store manager removes a copy of each of the 15 movies from the shelf, then randomly selects 3 of the 15 to show on the display monitors in the store, the probability that she selected 2 comedies and 1 action movie will be calculated as shown;

Probability of selecting 2 comedies  = 4/15*4/15 = 16/225 (Note that the expected outcome in this case is 4).

Probability of selecting 1 action movie = 6/15 = 2/5

<em>Hence, the probability that she selected 2 comedies and 1 action movie will be equivalent to 16/225*2/5 = 32/1125</em>

<em>Note that the rented movies will have to be returned hence reason for the replacement. </em>

8 0
3 years ago
7] A recent poll discovered that only 24.5% of Americans are getting the recommended amount of exercise per week. Briscoe Middle
Evgesh-ka [11]

Answer:

your TRASH NOOB LOSER

Step-by-step explanation:

so todya eat hesde

In a handful of other worlds”particularly conservative Catholic ones”the essay did quite well. But those were the worlds that hardly needed it. For people of that persuasion, the omnipresent assault on Pius XII drives them toward the worst possibilities for their communities: a dread that rampant anti-Catholicism is shortly to unleash itself upon themhunger to flee to small fellowships of the saved and away from the corruption of the public square, an embracing of a self-image as victims, and a belief that a dark cloud rests over the sum of modern times. “Even a Jewish writer”and a rabbi, too”sees the slander for what it is,” they say. And thereby they confirm, for those whom the essay only angered, that David Dalin let himself be used as a Jew to advance a sectarian Catholic agenda (mine, presumably, although my friends have had the courtesy not to say that to my face). And so the whole coil curls up around itself once more, and we get no forwarder. Perhaps a book that collected the best reviews would help. However large it personally looms, the part played by David and me was small. The attempt to sift through the endless stream of books about Pius XII in recent years was actually carried out by indefatigable reviewers in dozens of magazines and journals, responding to the texts one by one.The controversy also motivated additional research, and new material now seems to arrive every week. As far as I can tell, all this recent information tells in favor of Pius XII. A recently discovered 1923 letter to the Vatican from Eugenio Pacelli, then nuncio to Germany, for instance, denounces Hitler’s putsch and warns against his anti-Semitism and anti-Catholicism. A document from April 1933, just months after Hitler obtained power, reveals how Pacelli (then secretary of state) ordered the new German nuncio, Cesare Orsenigo, to protest Nazi actions. Meanwhile, newly examined diplomatic documents show that in 1937 Cardinal Pacelli warned A. W. Klieforth, the American consul to Berlin, that Hitler was “an untrustworthy scoundrel and fundamentally wicked person,” to quote Klieforth, who also wrote that Pacelli “did not believe Hitler capable of moderation, and . . . fully supported the German bishops in their anti-Nazi stand.” This was matched with the discovery of Pacelli’s anti-Nazi report, written the following year for President Roosevelt and filed with Ambassador Joseph Kennedy, which declared that the Church regarded compromise with the Third Reich as “out of the question.”Archives from American espionage agencies have recently confirmed Pius XII’s active involvement in plots to overthrow Hitler. A pair of newly found letters, written in 1940 on the letterhead of the Vatican’s Secretariat of State, give Pius XII’s orders that financial assistance be sent to Campagna for the explicit purpose of assisting interned Jews suffering from Mussolini’s racial policies. And the Israeli government has finally released Adolf Eichmann’s diaries, portions of which confirm the Vatican’s obstruction of the Nazis’ roundup of Rome’s Jews. There’s more, a regular flow of new material. Intercepts of Nazi communications released from the United States’ National Archives include such passages as “Vatican has apparently for a long time been assisting many Jews to escape,” in a Nazi dispatch from Rome to Berlin on October 26, 1943, ten days after the Germany’s Roman roundup. New oral testimony from such Catholic rescuers as Monsignor John Patrick Carroll-Abbing, Sister Mathilda Spielmann, Father Giacomo Martegani, and Don Aldo Brunacci insists that Pius XII gave them explicit orders and direct assistance to help persecuted Jews in Italy. The posthumous publication this year of Harold Tittmann’s memoir, Inside the Vatican of Pius XII , is particularly interesting, for in it the American diplomat reveals, for the first time, that Pius XII’s wartime conduct drew upon advice from the German resistance.

7 0
3 years ago
If a=3 and b=5 then ab/15+a(6+7b)=
lilavasa [31]

Answer:155

Step-by-step explanation:

If a=3 and b=5 then

3•5/15+3•6+7•5=155

8 0
3 years ago
Read 2 more answers
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