Mel Ting sells half-gallons of frozen yogurt for $5 each and gallons for $9 each. One day Mel sells a total of 40 containers of yogurt, for a total of $248. How many of each kind of container did Mel sell?

Number of half-gallons containers of frozen yogurt = 28

Number of containers containing 1 gallon of frozen yogurt = 12

Step-by-step explanation:

Let denotes number of half-gallons containers of frozen yogurt and denotes number of containers containing 1 gallon of frozen yogurt.

Multiply (i) by 5

Subtract (iii) from (ii)

Put in (i)

in simplified version   it would be x ≤-4

step-by-step explanation:

multiply each term in x ≤-4 by -1

answer:   the paragraph proof is mentioned below.

step-by-step explanation:

given: in a δxwy where

such that, ∠wzx ≅ ∠yzx and zw≅zy

we have to prove that: segment zx is a perpendicular bisector of segment wy.

prove: since, zw≅zy ⇒ ∠wzy is a supplementary angle.

then, ∠wzy= 180°

⇒∠wzx + ∠yzx = 180° ( because xz divides ∠wzy into two parts)

but, ∠wzx ≅ ∠yzx ( given)

⇒∠wzy+∠wzy=180° ( by substitution)

⇒2∠wzy=180°

⇒∠wzy=90°

⇒∠wzy=∠yzx =90°

therefore, xz⊥wy where wz=zy

⇒zx is a perpendicular bisector of wy.