Angie’s bake shop makes birthday chocolate chip cookies that cost $2 each. angie expects that 10% of the cookies will crack and be discarded. angie wants a 60% markup on cost and produces 100 cookies. assume that angie can sell the cracked cookies for $1.10 each. what should angie price each cookie?

$ 3.43

Step-by-step explanation:

Given,

Total cookies = 100,

Cost price of each cookie = $ 2,

So, the total cost price = $ 200,

After marking up the price by 60%,

Total selling price = (100+60)% of 200

= 160% of 200

= $ 320

Out of 100 cookies 10% are cracked or discarded,

Thus, the cracked cookies = 10% of 100

=

= 10,

Then, the simple cookies = 100 - 10 = 90,

The price of each cracked cookie = $ 1.10

So, the selling price of cracked cookies = 1.10 × 10 = $ 11,

Now, let the price of each simple cookie = x dollars

So, the selling price of simple cookies = x × 90 = 90x dollars,

Thus, the total selling price = 90x + 11

⇒ 90x + 11 = 320

90x = 320 - 11

90x = 309

⇒ x = 3.43

Hence, the price of each cookie should be $ 3.43.

∠1≅∠2 by the alternate exterior angles theorem.

step-by-step explanation:

given, a ∥ b and ∠1 ≅ ∠3 .we have to prove that e ∥ f

we know that ∠1≅∠3 and that a || b because they are given. we see that by the alternate exterior angles theorem. therefore, ∠2≅∠3 by the transitive property. so, we can conclude that e || f by the converse alternate exterior angles theorem.

we have to fill the missing statement.

transitivity property states that if a = b and b = c, then a = c.

now, given ∠1≅∠3 and by transitivity property ∠2≅∠3 .

hence, to apply transitivity property one angle must be common which is not in result after applying this property which is ∠1.

the only options in which ∠1 is present are ∠1 and ∠2, ∠1 and ∠4

∠1 and ∠4 is not possible ∵ after applying transitivity we didn't get ∠4.

hence, the missing statement is ∠1≅∠2.

so, ∠1≅∠2 by the alternate exterior angles theorem.