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1. 2

2. 5/36

3. 8 ¹/₆

4. - 4/11

Step-by-step explanation:

1.

2⁴/₅ + (-¹²/₁₅)

= ¹⁴/₅ - ¹²/₁₅

= ¹⁴/₅ - ⁴/₅

= 14 - 4

      5

= 10/5

= 2

2.

- 3/4 - (- 8/9)

= 5 / 36

3.

- 3 ¹/₂ (- 2 ¹/₃)

= -7/2 * 7/3

= 7 * 7

  2 * 3

= 49/6

= 8 ¹/₆

4.

- 1/4  ÷ 11/16

= - 1/4 * 16/11

= - 16/44

= - 4/11

walter needs to make at least 5 more cookies but no more than 40. 5 ≤ x ≤ 40

step-by-step explanation:

20 ≤ x + 15 ≤ 55

subtract 15 from all parts

20-15 ≤ x + 15-15 ≤ 55-15

5 ≤ x ≤ 40

this means how many more cookies he has to make

walter needs to make at least 5 more cookies, but no more than 40 cookies; 5 ≤ x ≤ 40

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b