A survey of 25 children was taken to determine the type of dessert they like in their lunch. 20 students like cookies in their lunch, 15 students like
cupcakes in their lunch and 2 students like neither. Determine the number
of students that like only cupcakes in their lunch for dessert.

Step-by-step explanation:

Total=A+B+C−(sum of 2−group overlaps)+(all three)+NeitherTotal=A+B+C−(sum of 2−group overlaps)+(all three)+Neither .

75 = 48 + 45 + 58 - (28 + 37 + 40) + 25 + Neither --> Neither = 4.

Only Pizza = P - (P and H + P and T - All 3) = 48 - (28 + 40 - 25) = 5;

Only Hoagies = H - (P and H + H and T - All 3) = 45 - (28 + 37 - 25) = 5;

Only Tacos = T - (P and T + H and T - All 3) = 58 - (40 + 37 - 25) = 6.

The number of students who like none or only one of the foods = 4 + (5 + 5 + 6) = 20.

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

step-by-step explanation:

walter has to make a minimum of 20 cookies. he already has 15 cookies made, so he must make 5 more to meet the minimum.

the maximum amount of cookies he can make is 55. he already has 15, so he has to make no more than 40 more cookies to meet the maximum.

-362

step-by-step explanation:

(12)(4)+2(12)-34(12)+2(12)-3

  \/         \/         \/         \/

  48 +   24 -   408 + 24 - 3

      \   /               \   /

          72     -     432 - 3 = -363