What is the solution to the system X-3y=-9 and -3x+9y=12

Answer:

y=2x

Step-by-step explanation:

Y=kx

12=k6

12 divided by 6 to get 2

and 2=k

Answer:

10/289

Step-by-step explanation:

hope this helps

The probability of reference book and then, without replacing it, picks up a nonfiction book is 5/136.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Given:

Nadia's bookshelf contains 10 fiction books, two reference books, and five nonfiction books.

So, the probability of getting reference book

= 2/ 17

and, the probability of getting nonfiction book

= 5/ 17

Now, the probability of reference book and then, without replacing it, picks up a nonfiction book

= 2/ 17 x 5 / 16

= 10 / 272

= 5 /136

Learn more about Probability here:

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Answer: y=2/5x - 4

Step-by-step explanation:

Answer:

20.4

Step-by-step explanation:

Answer:

Factor [tex]12a + 6b : 6(2a + b)[/tex]

Step-by-step explanation:

[tex]12a+6b[/tex]

Rewrite [tex]12[/tex] as [tex]2 * 6[/tex]:

[tex]=2\cdot \:6a+6b[/tex]

Factor out common term [tex]6[/tex]:

[tex]=6\left(2a+b\right)[/tex]

Hope I helped. If so, may I get brainliest and a thanks?

Thank you, Have a good day! =)

Answer:

f(x) = x^2 - 4x - 12

Step-by-step explanation:

If 6 is a zero, (x - 6) is a factor.  Likewise, if -2 is a zero, (x + 2) is a factor.

Multiplying these two factors together, we get:

f(x) = x^2 - 4x - 12

Answer:

108

Step-by-step explanation:

So the area of the rectangle is easy.

12 * 5 = 60

Now you have to do the triangles.

The height is (13 - 5) / 2 = 4

The bases are 12

The area of one is (12 * 4) / 2

The area of both is 12 * 4 = 48

60 + 48 = 108

Answer:

Yes it would be Cheaper to get the pass becuse without it your spending 84 dollars and with it your spending 70

Step-by-step explanation:

Answer:

A monthly pass that is $70

Step-by-step explanation:

16*5.25= 84

$84 is greater than $70

Answer:

6 meters per 1 second or 6m/s

Step-by-step explanation:

slope is rise/run or change in y/change in x

in this case y=30, x=5 so slope = 30/5= 6

Answer:

4 mm

Step-by-step explanation:

The radius is half the diameter, so in this case the radius of each button is 4 mm.

Answer:

The radius would be 4 millimetres

Step-by-step explanation:

The radius is the length from one side to the centre of the circle.

The diameter is the length from one side to another.

To work out the radius you would simply divide the diameter of 8 by 2, this gives you 4 millimetres. This is because the radius is half of the diameter.

1) Divide 8 by 2.

[tex]8/2=4 mm[/tex]

Answer:

x+11.5

Step-by-step explanation:

4x² +7x-2=0

16x+7x-2=0

23x-2=0

      +2  +2

23x=2

23x/2

x= 11.5

I hope these help.

Answer:

I'm glad you asked!

Step-by-step explanation:

The probability would be 0.3333 .When we convert it into a number we get 26 or 13.

Answer:

[tex] = q < 3[/tex]

Step-by-step explanation:

[tex]2(q - 8) < - 10 \\ 2q - 16 < - 10 \\ 2q < - 10 + 16 \\ 2q < 6 \\ \frac{2q}{2} < \frac{6}{2} \\ q < 3[/tex]

hope this helps

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3(-3 + 7x) ≤ -93

-3 + 7x ≤ -31

7x ≤ -28

x ≤ -4

Answer: x ≤ -4

-6(1 + 8x) ≥ 138

Multiplying or dividing both sides by a negative number flips the sense of the inequality.

1 + 8x ≤ 138/(-6) = -23

8x ≤ -24

x ≤ -24/8

Answer: x ≤ -3

7(6x - 4) ≥ 6x - 28

42x - 28 ≥ 6x - 28

36x ≥ 0

x ≥ 0

Answer: x ≥ 0

86 ≤ -4(1 - 5x) - 2x

86 ≤ -4 + 20x - 2x

90 ≤ 18x

5 ≤ x

Answer: x ≥ 5

Answer:

Step-by-step explanation:

For the first row:

Improper fraction: 5/6

Mixed number: 1 1/6

Number line: draw a line that is from 0-3. Fill it in a little bit after 1.

Circle models: draw 2 circles. Split each circle into 6 equal parts. Color in the first circle and then color in 1/6 of the second circle.

For the second row:

Improper fraction: 13/6

Mixed number: 2 1/6

Circle models: draw 3 circles. Split each circle into 6 equal parts. Color in 2 of the circles and then color in 1/6 of the last circle.

For the third row:

Improper fraction: 17/8

Mixed number: 2 1/8

Number line: draw a line that is from 0-3. Fill it in from 0 to a little bit after 2.

For the fourth row:

Improper fraction: 10/8

Mixed number: 1 2/8 or 1 1/4

Number line: draw a line that is from 0-2. Fill it in from 0 to a little bit after 1.

Circle models: draw 2 circles. Split each circle in 8 equal parts. Color in the first circle and then color in 1/8 of the other circle.

For the fifth row:

It's literally just the same as the third row lol.

For the sixth row:

Improper fraction: 5/3

Mixed number: 1 2/3

Circle models: draw 2 circles. Split each circle into 3 equal parts. Color in the first circle and then color in 2/3 of the other circle.

For the seventh row:

Improper fraction: 11/6

Mixed number: 1 5/6

Number line: draw a line that is from 0-2. Fill it in from 0 to right before 2.

Circle models: draw 2 circles. Split each circle into 6 equal parts. Color in the first circle and then 5/6 of the other circle.

For the eighth row:

Improper fraction: 4/3

Mixed number: 1 1/3

Number line: draw a line that is from 0-2. Fill it in from 0 to a little bit after 1.

Circle models: draw 2 circles. Split each circle into 3 equal parts. Color in the first circle and then 1/3 of the other circle.

For the ninth row:

Improper fraction: 9/5

Mixed number: 1 4/5

Circle models: draw 2 circles. Split each circle into 5 equal parts. Color in the first circle and then 4/5 of the other circle.

Hope this helps! Sorry it took me so long lol.

Answer:

Applying sine theorem for right triangle ABC, we have:

sin A = BC/AB

=> BC = AB x sin A = 2.7 x sin(64 deg) = ~2.4 (ft)

Hope this helps!

:)  

Answer:

12/13

Step-by-step explanation:

There are 52 cards in the deck

4 are aces

That leaves 52-4  or 48 that are not aces

P(not an aces) = cards that are not aces / total

                        = 48/52

                       =12/13

Answer:

[tex] \frac{12}{13} [/tex]

Answer D is correct

Step-by-step explanation:

[tex]there \: \: \: are = 52 \: \: cards \\ aces \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 4 \: \: cards \\ not \: aces \: \: \: \: \: = 52 - 4 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 48 \\ p \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{48}{52} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{12}{13} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

Step-by-step explanation:

Number of students 10

Problem 1. $625 for the bus hire per friday, So 625*4=$2500

Problem 2. 2500/25=$100 each for the whole 4 weeks

Problem 3.

10 students tickets 220= 2200 for all tickets. The bus, 625/10 = $62.5*4= $250 dollars for the whole 4 weeks for the bus so in all each student pays $470 each

20 students, tickets 220=4400 for all tickets. The bus, 625/20=$31.25*4=$125 for the whole 4 weeks for the bus, so in all each student must pay $345 each

30 students, tickets 220 = 6600 for all tickets. The bus, 625/30 =$20.83*4=$83.32 for the whole 4 weeks for the bus, so in all each student must pay $303.32 each

41 students, tickets $160=$6560 for all tickets. The bus, because you need 2 buses at 625 each so $1250 for both buses 1250/41= 30.49*4=$121.96 for the whole 4 weeks for the bus. So in al each student must pay $281.96 each

Hope this is correct

Answer:

- 100.2

Step-by-step explanation:

6 x(-16.7)

6 x [tex]\frac{-167}{10}[/tex]

6 x(-167) = - 1002

-1002/10 = - 100.2

Answer:

x=7

Step-by-step explanation:

8x – 2y = 48

Let y = 4

8x - 2(4) = 48

8x - 8 = 48

Add 8 to each side

8x-8+8 = 48+8

8x = 56

Divide each side by 8

8x/8 = 56/8

x=7

Answer:

[tex]x = 7[/tex]

Step-by-step explanation:

[tex]8x - 2y = 48 \\ 8x = 48 + 2y \\ x = \frac{48 + 2y}{8} [/tex]

[tex]y = 4[/tex]

[tex]x = \frac{48 + 2y}{8} \\ x = \frac{48 + 2 \times 4}{8} \\ x = \frac{48 + 8}{8} \\ x = \frac{56}{8} \\ x = 7[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

5076.

Step-by-step explanation:

Let x be the number enrolled, then:

x - 1/9 x = 4512

8/9x = 4512

x = 4512 * 9/8

x = 5076.

Answer:

a) 7/80 = 0.0875

b) 3/16 = 0.1875

c) 1/4 = 0.2500

Step-by-step explanation:

There are a total of 16 balls.  3 are selected.  There are ₁₆C₃ possible combinations.

a) If all 3 balls are the same color, they are either all yellow OR all blue OR all red.

The number of ways of choosing 3 yellow balls from 7 is ₇C₃.

The number of ways of choosing 3 blue balls from 5 is ₅C₃.

The number of ways of choosing 3 red balls from 4 is ₄C₃.

The total probability is:

P = (₇C₃ + ₅C₃ + ₄C₃) / ₁₆C₃

P = (35 + 10 + 4) / 560

P = 49 / 560

P = 7 / 80

P = 0.0875

b) The number of ways of choosing 2 yellow balls from 7 is ₇C₂.

The number of ways of choosing 1 blue ball from 5 is ₅C₁.

The probability of both is:

P = ₇C₂ ₅C₁ / ₁₆C₃

P = 21 × 5 / 560

P = 105 / 560

P = 3 / 16

P = 0.1875

c) If all 3 balls are different colors, then there is exactly 1 yellow, 1 blue, and 1 red.

The number of ways of choosing 1 yellow ball from 7 is ₇C₁.

The number of ways of choosing 1 blue ball from 5 is ₅C₁.

The number of ways of choosing 1 red ball from 4 is ₄C₁.

The probability of all events is:

P = ₇C₁ ₅C₁ ₄C₁ / ₁₆C₃

P = 7 × 5 × 4 / 560

P = 140 / 560

P = 1 / 4

P = 0.2500

Answer:

C

Step-by-step explanation:

For this question you have to solve every inequality. To get the correct answer.

Answer:

6² + x² = 10²

36 + x² = 100

36 - 36 + x² = 100 - 36

x² = 64

√x² = √64

x = 8

Step-by-step explanation:

Answer:

[tex]x = 8[/tex]

Step-by-step explanation:

According to PYTHAGORAS theorem

[tex] {6}^{2} + {x}^{2} = {10}^{2} \\ 36 + {x}^{2} = 100 \\ {x}^{2} = 100 - 36 \\ {x}^{2} = 64 \\ x = \sqrt{64} \\ x = 8[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day

Answer:

4 meters

Step-by-step explanation:

Given a quadratic equation in which the coefficient of [tex]x^2[/tex] is negative, the parabola opens up and has a maximum point. This maximum point occurs at the line of symmetry.

Since the divers height, y is modeled by the equation

[tex]y= -x^2 + 2x + 3[/tex]

Step 1: Determine the equation of symmetry

In the equation above, a=-1, b=2, c=3

Equation of symmetry, [tex]x=-\dfrac{b}{2a}[/tex]

[tex]x=-\dfrac{2}{2*-1}\\x=1[/tex]

Step 2: Find the value of y at the point of symmetry

That is, we substitute x obtained above into the y and solve.

[tex]y(1)= -1^2 + 2(1) + 3=-1+2+3=4m[/tex]

The maximum height of the diver is therefore 4 meters.

Answer:

The answer is -2 & 3

Step-by-step explanation:

Answer:

A. 150 N + e

Step-by-step explanation:

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