Rachel bought 2.5 pounds of cookies for $13.40. Her friend buys 4.5 pounds of crackers for $24.75. Which is less
expensive per pound? By how much? (HINT: Find the unit rate for each, then find the difference)

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:

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

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: Thrid choice. 4

Step-by-step explanation:

Given equation

(-3/4)m - (1/2) = 2 + (1/4)m

The least common multiple of the denominator

First three multiples of 2: 2, 4, 6

First three multiples of 4: 4, 8, 12

Since 4 is the first common multiple, 4 is the least common multiple of 2 and 4.

By multiplying [tex]\boxed{4}[/tex] on both sides, the fraction can be eliminated.

Hope this helps!! :)

Please let me know if you have any questions

Answer:Integer Numbers?

Step-by-step explanation:

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:

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:

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:

3

Step-by-step explanation:

12/4=3 per car

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:

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

Answer:

No, they are not.

Step-by-step explanation:

A ratio can be written as a fraction. So 3:5 is the same as 3/5 and 2:4 is the same as 2/4.

3/5 = 2/4

0.6 = 0.5 INCORRECT

As you can see, the both don't equal the same numbers, so they aren't equivalent.

The three possible sets of integers whose product is -7 are:

1. (1, 1, -7) (least to greatest)

2. (-1, 1, 7) (least to greatest)

3. (-1, -1, 7) (least to greatest)

To find the three possible sets of integers whose product is -7, we need to consider all the combinations of three integers whose product results in -7. Keep in mind that each set should use unique integers. Let's explore the options:

1. Set 1: [tex]\(1 \times 1 \times -7 = -7\)[/tex]

2. Set 2: [tex]\((-1) \times 1 \times 7 = -7\)[/tex]

3. Set 3: [tex]\((-1) \times (-1) \times 7 = -7\)[/tex]

The three possible sets of integers whose product is -7 are:

1. (1, 1, -7) (least to greatest)

2. (-1, 1, 7) (least to greatest)

3. (-1, -1, 7) (least to greatest)

Each set consists of unique integers, and the product of all three integers in each set is -7.

To know more about integers:

https://brainly.com/question/30264184

#SPJ3

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:

50

Step-by-step explanation:

2x5^2

=2x5x5

=10x5

=50

Answer:

Silurian

Triassic

Jurassic

Tertiary

Step-by-step explanation:

i hope its right

Answer:

A and B are irrational

Step-by-step explanation:

A cannot be reduced to a whole number.

same with B.

C can be reduced to 9 as 9x9 = 81

D can be reduced to 8 as 8x8 = 64

Answer:

probably giving false information or something

Step-by-step explanation:

Answer:

5 newspapers in 1 pile

Step-by-step explanation:

If there are 10 newspapers in 2 piles, to find the number of newspapers in 1 pile, we need to divide 10÷2 which equals 5.

Answer: 5 newspapers per pile

Step-by-step explanation:

= 10 newspapers in 2 piles

= newspaper per pile = 10 / 2

= 5

So , newspaper per pile is 5

This is your answer

Answer:

C

Step-by-step explanation:

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

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

Answer: 4 : 20

Step-by-step explanation:

1 : 5 = 4 : __

= 1 * 4 = 4

= 5 * 4 = 20

= 4 : 20

So, this is your answer

Answer:

The answer is 410 5/8

Answer:

The savings were changed by $88

Step-by-step explanation:

1 backpack costs 8 dollars and they bought 8 of them, you have to multiply 8 dollars by 8 cause there is 8 backpacks which is 64 , pen and pencils for 1 backpack costs 3 dollars , so you have to multiply 3 by 8  cause there are 8 backpacks which is 24. then you add 64 and 24 which is 88

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:

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