Please help!!

Which expression uses the commutative property to make it easier to evaluate 1/4 x 3/5 x 12?
A: 4/12 x 3/5 x 1
B: 1/4 x 5/3 x 12
C: 12 x 3/5 x 1/4
D: 1/4 x 12 x 3/5

Answer:

[tex]\frac{a+1}{(a-2)(a-1)(a-1)}=[/tex]

Step-by-step explanation:

1. Approach

The easiest method to solve this problem is to factor the expression. In order to subtract (or add) two fractions, both fractions have to have common denominators. When the fractions are factored one can easily see the least common denominator. Convert both fractions to the least common denominator by multiplying the numerator (number over the fraction bar) and denominator (number under the fraction bar) by the value such that both fractions have the same denominator. Finally, one can subtract the numerators of the two fractions.

2. Factoring and Least common denominator

[tex]\frac{3}{a^2-3a+2}-\frac{2}{a^2-1}=[/tex]

Factor the expression, rewrite the quadratic polynomials as the product of two linear polynomials,

[tex]\frac{3}{a^2-3a+2}-\frac{2}{a^2-1}=[/tex]

[tex]\frac{3}{(a-2)(a-1)}-\frac{2}{(a-1)(a+1)}=[/tex]

The least common denominator is: ([tex](a-2)(a-1)(a-1)[/tex])

Convert both fractions to the least common denominator, multiply both the numerator and denominator by the same value to do so,

[tex]\frac{3}{(a-2)(a-1)}-\frac{2}{(a-1)(a+1)}=[/tex]

[tex]\frac{3}{(a-2)(a-1)}*\frac{a-1}{a-1}-\frac{2}{(a-1)(a+1)}*\frac{a-2}{a-2}=[/tex]

Simplify,

[tex]\frac{3}{(a-2)(a-1)}*\frac{a-1}{a-1}-\frac{2}{(a-1)(a+1)}*\frac{a-2}{a-2}=[/tex]

[tex]\frac{3(a-1)}{(a-2)(a-1)(a-1)}-\frac{2(a-2)}{(a-1)(a+1)(a-2)}=[/tex]

3. Solving the expression

[tex]\frac{3(a-1)}{(a-2)(a-1)(a-1)}-\frac{2(a-2)}{(a-1)(a+1)(a-2)}=[/tex]

Distribute, multiply every term inside the parenthesis by the term outside of it,

[tex]\frac{3(a-1)}{(a-2)(a-1)(a-1)}-\frac{2(a-2)}{(a-1)(a+1)(a-2)}=[/tex]

[tex]\frac{3a-3}{(a-2)(a-1)(a-1)}-\frac{2a-4}{(a-1)(a+1)(a-2)}=[/tex]

Simplify further,

[tex]\frac{3a-3}{(a-2)(a-1)(a-1)}-\frac{2a-4}{(a-1)(a+1)(a-2)}=[/tex]

[tex]\frac{3a-3-(2a-4)}{(a-2)(a-1)(a-1)}=[/tex]

[tex]\frac{3a-3-2a+4}{(a-2)(a-1)(a-1)}=[/tex]

Combine like terms,

[tex]\frac{3a-3-2a+4}{(a-2)(a-1)(a-1)}=[/tex]

[tex]\frac{a+1}{(a-2)(a-1)(a-1)}=[/tex]

Answer:

well this is according to my calculator

Step-by-step explanation:

the answer is 506

Answer: 4 : 20

Step-by-step explanation:

1 : 5 = 4 : __

= 1 * 4 = 4

= 5 * 4 = 20

= 4 : 20

So, this is your answer

Hi ;-)

54 passengers on 2 buses = 27 passengers per bus

54 : 2 = 27

Answer:

the answer is 27 passengers per bus

Step-by-step explanation:

54÷2=27

Answer:

y = 1500x + 20690

Step-by-step explanation:

    We already know the slope. The prompt tells us that in 1996 there were 29,690 movie screens. We can write this as the point (6, 29690). We can find the y-intercept by substituting information into the point-slope formula.

[tex]y-y_1=m(x-x_1)\\\\y-29690=1500(x-6)\\\\y-29690=1500x-9000\\\\y=1500x+20690[/tex]

    Now we know that number of movie screens in 1990 was 20,690 and that it increased by 1500 each year.

Answer:

(C) 0.5

Step-by-step explanation:

side with length 3 will now be 1.5

side with length 4 will now be 2

side with length 5 will now be 2.5

this will make the new triangle appear to be smaller than the original

Answer: (for 11b) 15/6

Step-by-step explanation:

I added image of how I solved (I’m 99% sure this is right)

Hope this helps :-))

Answer:

[tex] \frac{5}{2} [/tex]

Step-by-step explanation:

the answer done is of (b)

Hope it helps.

Answer:

3.2

Step-by-step explanation:

3.8 + (-0.6)

=> 3.8 - 0.6       [Since, Positive x Negative = Negative]

=> 3.2

So Plot 3.2 on the number line.             (First segment after 3)

Answer:

A $270 I'm guessing sorry I hope I'm right

Step-by-step explanation:

y = ax +b

2 = 0a+ b => b = 2

4 = -2a + b

4 = -2a +2

2a = 2-4

2a = -2

a = -1

so, y = -x + 2

Answer:

https://vietjack.com/giai-toan-lop-9/images/bai-38-trang-62-sgk-toan-9-tap-1-

Step-by-step explanation:

Vẽ đồ thị y = 2x (1):

   Cho x= 0 ⇒ y= 0 ta được O (0, 0)

   Cho x= 2 ⇒ y = 4 ta được điểm (2; 4)

- Vẽ đồ thị y = 0,5x (2):

   Cho x= 0 ⇒ y = 0 ta được O (0; 0)

   Cho x = 4 ⇒ y = 2 ta được điểm (4; 2)

- Vẽ đồ thị y = -x + 6 (3):

   Cho x = 0 ⇒ y = 6 được điểm (0; 6)

   Cho y = 0 ⇒ x = 6 được điểm (6; 0)

Để học tốt Toán 9 | Giải bài tập Toán 9

  35x + 0.15y

=3500x + 15y

= 700x + 3y

2. x + (x+2) + (x+2+2)  ----> x+x+2+x+4 ----->3x+6

3. 1/5*(r+7) - 9s -----> (r+7)/5 - 9s

4. x=cows and y= sheep+goats

Answer/x= (y+140)/2

Answer:

a. y=(-9)^2+3=81+3=84

y=square root of -9-2=3i-2

b. He cannot with the first but he can with with second. For the first, we have 0=x^2+3. Then subtract 4 from each side and get -3=x^2. This isn't possible in a theoretical term. For the second, you have 0=square root of x -2 or 2=square root of x. That means x is 4.

Answer:

(-2,1) (-2,3) (-4,1) (-4,4)

Step-by-step explanation:

Simply select each of the points, Count how many squares away that point is away from the line of reflection (the y-axis) and Put that point the same distance/amount of squares away on the other side of the y-axis. Join up the points and then you get your answer!

Answer:

469 2/3 (Answer 3)

Answer:

It's c 469 2/3

Step-by-step explanation:

7045 ÷ 15 = 469.6666667, which is just 469 2/3

Answer:

.79

Step-by-step explanation:

79/100 or .79 m

Answer:

50

Step-by-step explanation:

2x5^2

=2x5x5

=10x5

=50

Answer:

probably giving false information or something

Step-by-step explanation:

b, a, d, c, b, a + b, c, d, d

Hi :)

Rate of change is the change in the y divided by the change in x

Here's the formula

R = (∆y / ∆x )

R = rate of change

∆y = change in y

∆x = change in x

Answer

1/2

Step-by-step explanation:

A regular number cube would be half odd half even so 1/2 of the time it wouldnt be odd

Answer:

Aunts = 6/24 => 3/12 => 1/4

Sisters = 2/24 => 1/12

hope that helps uh..☺

Answer:

1/2  is the answer

Answer:

3

Step-by-step explanation:

12/4=3 per car

Answer:

Surface Area = 264π

Volume = 576π

Step-by-step explanation:

in the picture

Answer:

SA= 829.38 Inches² which is 829.38/3.14159 = 264π inch³

V = 110.43 inches³.   which is 110.43/ 3.14159 = 35.15π inch³

Step-by-step explanation:

To find the surface area of cylinder, we calculate two area of circle 2πr² and one area of rectangle 2πrh first, and then add them 2πr²+2πrh.

SA of a cylinder =2πrh+2πr², where π≈3.14159

Radius given is 12/2 = 6 inches

=  2 x π x 6 x 16 + 16  x π6 x 6 ≈ 829.3804 = 829.38 Inches²

Volume = h*π *r^2

V = 16 x π

= 110.43 inches³.

Answer:

6) a) 69 b) 97 c)86 d)71

7) A.

Step-by-step explanation:

6)

a) -1-[9(-8)]-2 = -1 - (-72) -2

= -3 + 72 = 69

b) 81 + 4² = 81 + 16

= 97

c)12×7 + 6÷3 =(12×7)+(6÷3)

= 84 + 2

=86

d)74 + 9 ÷ -3 = 74 + (9÷ -3)

= 74 - 3

= 71

7)

Statement: Larry has at most seven miles left in the race

This statement is represented by the inequality;

[tex]x \leqslant 7[/tex]

Answer:

Part A.

69

Part B.

97

Part C.

93

Part D.

86

Step-by-step explanation:

Part A.

-1-9x(-8)-2

-1+72-2

69

Part B.

81+4^2

81+16

97

Part C.

12x7+6+3

84+6+3

93

Part D.

74+9+3

83+3

86

Answer:

it's B

Step-by-step explanation:

by analyzing it I figured it was 100% B

Answer:

C. a dilation by a scale factor of 3 and then a 180 degrees rotation about the origin.

Step-by-step explanation:

G is the same point transformed as E and H is the same as point F.

Since G is now (-9,0) that was multiplied 3 times from (3,0) before it was rotated. Which would show that the answer is probably C or D.

Next, the answer looks as though it has been rotated around D or the origin by 180 degrees but we don't know that quite yet.

So check if you dilated triangle DEF by a factor of 3 then translated it down 6 units point E would now be (9,-6).

Then translate it to the left 6 units. (3, -6). That's not the same as triangle DGH.

So the answer is C.

Hope this helps! If it does brainliest would be appreciated.

Answer:Integer Numbers?

Step-by-step explanation: