let a,b,c be the three rational numbers where a = 2/3 , n = 4/5 and c = -5/6
verify
(i) a+(b+c)=(a+b) +c ( associative property of addition )
(ii) a×(b×c)=(a×b)×c ( associative property of multiplication ​

Answer: Slope = 3/2 or 1.5

Answer: y= 1.5 x+2 or y=3/2x+2

Step-by-step explanation:Slope (m) =

ΔY

ΔX

=

3

2

= 1.5

θ =

arctan( ΔY )

ΔX

= 56.30993247402°

ΔX = 4 – 2 = 2

ΔY = 8 – 5 = 3

Distance (d) = √ΔX2 + ΔY2 = √13 = 3.605551275464

y = 1.5x + 2

or

y =

3 x

2

+ 2

When x=0, y = 2

When y=0, x = -1.3333333333333

In probabilities, variables p and q are often used as complements of another.

The relationship between variables p and q is:

[tex]\mathbf{p+ q = 1}[/tex]

So, we have:

(a) p = 0.579

Substitute 0.579 for p in [tex]\mathbf{p+ q = 1}[/tex]

[tex]\mathbf{0.579 + q = 1}[/tex]

Make q the subject

[tex]\mathbf{q = 1 - 0.579}[/tex]

[tex]\mathbf{q = 0.421}[/tex]

The value of q is 0.421

(b) q = 0.871

Substitute 0.871 for q in [tex]\mathbf{p+ q = 1}[/tex]

[tex]\mathbf{p + 0.871 = 1}[/tex]

Make p the subject

[tex]\mathbf{p = 1 - 0.871}[/tex]

[tex]\mathbf{p = 0.129}[/tex]

The value of p is 0.129

Read more about probability complements at:

https://brainly.com/question/10198002

Answer:

9

Step-by-step explanation:

since the equation of the line passing through the given point is perpendicular to the given line(m2= -1/m1)

using the formula y=mx+c

y=2/3x +1

m1=2/3

m2= -1/2/3

m2= -3/2

the slope of the second line is -3/2 and it passes through the point(3,-2)

using the formula y-y1 = m(x-x1)

y-(-2)= -3/2(x-3)

y+2= -3/2(x-3)

multiply both sides by 2

2(y+2) = -3(x-3)

2y+4 = -3x+9

2y = -3x+5

y= -3/2x + 5/2

Answer:

441 miles

Step-by-step explanation:

1st find rate from the given

D = RT

315 = 5R

63 = R miles/hour     so,

then find distance for 7 hours

D = RT

D = 63 * 7

D = 441

Answer:

Item 3. 4 3/8

Item 4. 4/9

Item 5. 4/3

Item 6. 1/8

Item 7. 0.8

Item 8. 5.20 or 5.2 (You can choose which to put)

Item 9. 1 7/8

Item 10. A 2008=24500 2009=26000 2010=27500 2011=29000

Step-by-step explanation:

Answer:

5/6, -0.62, -0.615

Step-by-step explanation:

Hope this Help If i got it wrong I'm sorry I tried :(

Answer:

4

Step-by-step explanation:

Answer:

4:7

Step-by-step explanation:

Answer:

It would be "W x 3 = 120"

Step-by-step explanation:

Why? Well, since a swift could run 120 miles an hour, that would be a necessity in the problem. It would be needed to find out how fast the wolf ran,  but, it cannot be the answer since we are trying to find out "how fast the wolf ran per hour". Right? No. Basically, you need to divide 120 by 3, which is 40. But which equals 40? None. Yes, none. No, to two answers. Why? Because you need to divide, so, the answer could be multiplication, but the opposite. You know if you know... Anyways, 120 x w = 3w is wrong due to the fact that it has no sign of division and the answer is way too large (I tried). 3 + w = 120 is definitely wrong. Why add? 3 + 40 is not 120. It's 43. Also, 120 + 3 is not 3, it's "123". So, the only answer left is "W x 3 = 120". But, how do we know that it's right? Well, think about it backwards. The swift is 3 times faster, so, the wolf times that 3 times faster is 120. And that is exactly what this problem is. By doing the problem backwards, we could find out that a wolf can run 40 miles per hour. Basically, 120 divided by 3, how much faster it is than a wolf, is 40. So, we could find out that a wolf could run 40 miles per hour.

Final Answer: W x 3 = 120

Answer:

The answer will be w×3=120

Answer:

0.68 repeating as a fraction

0.68 repeating as a fraction

Answer:

X= 19/4

Step-by-step explanation:

Answer:

4,75

Step-by-step explanation:

x-9:(-4)=7

-9:(-4) = +2,25

x+2,25=7 / -2,25

x= 7-2,25

x= 4,75

Answer:

5!=

[tex] = 5 \times 4 \times 3 \times 2 \times 1 \\ = 20 \times 3 \times 2 \times 1 \\ = 60 \times 2 \times 1 \\ = 120 \times 1 \\ = 120[/tex]

Answer:

A

Step-by-step explanation:

Answer:

The answer is (y=1/2x )

Answer:

44º

44º

136º

22º

Step-by-step explanation:

If you want i can explain in the comments.

Answer:

15 rows

Step-by-step explanation:

180 divided by 12 is 15.

Answer: x = 3

Step-by-step explanation:

Answer: X=3 Y=2

Step-by-step explanation: just looked it up

Answer:

6) B

7) D

8) C

9) A

Step by step explanation:

6) Brand A sold 12 notebooks

Brand B sold 28 notebooks

7)

8) 30 pieces of 100-peso bills

10 pieces of 50-peso bills

9) 4 packages have 2 pieces

6 packages have 3 pieces.

18/24=0.75

?/80=.75

80x.75=?

?=60

5x+10=60

    -10  -10

5x=50

/5   /5

x=10

sub x in for 10

10x5=50+10=60

C.X=10

Answer:

15.

Step-by-step explanation:

Hope this helps!

Answer:

15

Step-by-step explanation:

3 + 6 × 2 =

- Following the rules of bedmas, multiply the terms first.

3 + 12

- Now, add the remaining values.

= 15

Answer:

276 hope this helped :)

Step-by-step explanation:

Step-by-step explanation:

(21 - 3) ÷ 32

BIDMAS

Brackets: 21 - 3 = 18

Division: 18 ÷ 32 = (0.5625)

Answer:

15 1/2

Step-by-step explanation:

Answer:

4/155

0.025 rounded to the nearest thousandth

Step-by-step explanation:

Answer:

600 cubic feet

Step-by-step explanation:

Answer:

i dont know the answer but ask someone smarter

Step-by-step explanation:

Answer:

Step-by-step explanation:

2x + 3y = 6

      3y = -2x + 6

Divide the entire equation by 3

[tex]\dfrac{3y}{3}=\dfrac{-2x}{3}+\dfrac{6}{3}\\\\\\y = \dfrac{-2}{3}x+2[/tex]   { y = mx +b}

Answer:

C. Linearly Independent, Unique solution

Step-by-step explanation:

x=11/2

y=7/4

z=2

Answer:

3

Step-by-step explanation:

Step-by-step explanation:

Work out the value of x.

The angles are supplementary as same side interior angles, sum to 180°:

The angles are corresponding, hence congruent:

The angles are supplementary as same side interior angles, sum to 180°:

The angles are corresponding, hence congruent:

Corresponding with the right angle:

Vertical angle of the bottom angle is supplementary with the top angle:

Answer:

It is given

4x+3y=24

We can also write it as

3y=24−4x

 y=324−4x

Substituting x=0 in the given equation

 y=324−4(0)

 So we get 

 y=324

 By division 

 y=8 

 Substituting x=3 in the given equation 

 y=324−4(3)

 So we get

 y=312

 BY division 

 y=4