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3 years ago

Use the elimination method to solve the system of equations. Choose the correct ordered pair

Mathematics

1 answer:

UkoKoshka [18]3 years ago

5 0

Answer:

Answer is B

Step-by-step explanation:

$12x - y = 25 \\ 9x + y = 17 \\ x = \frac{17 - y}{9} \\ 12( \frac{17 - y}{9} ) - y = 25 \\$

$\frac{204}{9} - \frac{12}{9} y - y = 25 \\ \frac{204}{9} - \frac{21y}{9} = 25 \\ - \frac{21y}{9} = 25 - \frac{204}{9} \\ - \frac{21y}{9} = 2.33 \\ - 21y = 20.997 \\ y = - 0.99$

$y = - 1 \\ x = \frac{17 - y}{9} \\ x = \frac{17 - - 1}{9} = \frac{18}{9} \\ x = 2$

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A jar contains 12 red marbles numbered 1 to 12 and 6 blue marbles numbered 1 to 6. A marble is drawn at random from the jar. Fin

lora16 [44]

Answer:

$(a)P(Red)=\dfrac{2}{3}\\(b)P(Odd) =\dfrac{1}{2}\\(c)P(\text{Red or Odd Numbered})=\dfrac{5}{6}\\(d)P(\text{Blue or Even Numbered})=\dfrac{2}{3}$

Step-by-step explanation:

Number of Red Marbles{1,2,3,4,5,6,7,8,9,10,11,12},n(R)=12

Number of Blue Marbles{1,2,3,4,5,6},n(B)=6

Total Number of Marbles, n(S)=6+12=18

(a)Probability that the Marble is Red

$P(R)=\dfrac{n(R)}{n(S)} =\dfrac{12}{18} =\dfrac{2}{3}$

(b)Probability that the marble is odd-numbered.

Number of Odd-Numbered Balls, n(O)=9

$P(Odd)=\dfrac{n(O)}{n(S)} =\dfrac{9}{18} =\dfrac{1}{2}$

(c)Probability that the marble is red or odd-numbered.

n(Red)=12

n(Odd Numbered marbles)=9

n(Red and Odd Numbered Marbles)=6

$P(\text{Red or Odd Numbered})=P(Red)+P(Odd\:Numbered)-P(\text{Red and Odd Numbered)}\\=\dfrac{12}{18} +\dfrac{9}{18}-\dfrac{6}{18} =\dfrac{15}{18}\\P(\text{Red or Odd Numbered})=\dfrac{5}{6}$ (d)Probability that the marble is blue or even-numbered.

n(Blue)=6

n(Even Numbered marbles)=9

n(Blue and Even Numbered Marbles)=3

$P(\text{Blue or Even Numbered})=P(Blue)+P(Even\:Numbered)-P(\text{Blue and Even Numbered)}\\=\dfrac{6}{18} +\dfrac{9}{18}-\dfrac{3}{18} =\dfrac{12}{18}\\P(\text{Blue or Even Numbered})=\dfrac{2}{3}$

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3 years ago

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Ad libitum [116K]

Answer:

The probibility of getting a 4 would be 1/6 and an odd one would be 3/6 simpligied to 1/2

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3 years ago

Circles M and K are congruent and QR is congruent to LN. Find QR

lord [1]

QR ≅ LN

5x - 7 = 3x + 9

2x - 7 = 9

2x = 16

x = 8

QR = 5x - 7

= 5(8) - 7

= 40 - 7

QR = 33

Hope this helps!

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3 years ago

How is a compound inequality different from a regular inequality

Marina86 [1]

A compund inequality has two values.

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3 years ago

A tree of unknown height casts a shadow that is 18 feet long. If a person that is 5 ft 7 in casts a shadow that is 4 ft long, th

brilliants [131]

Answer:

25.

Step-by-step explanation:

5 ft 7 in = 5.583 ft.

We have 2 similar triangles here.

If h is the height of the tree, then:

h / 5.583 = 18/4

h = 18*5.583/4

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3 years ago

Use the elimination method to solve the system of equations. Choose the correct ordered pair​

Use the elimination method to solve the system of equations. Choose the correct ordered pair