Iam selling t-shirts and sweatshirts. the t-shirts cost $10 and sweatshirts cost $25. i started out with $50 in my box for change and now i have $1,400 in my box. i know that i have sold 5 more than 4 times as many t-shirts as sweatshirts. how many did i sell of each

Total money earned: 1400 - 50 = 1350$

Sweatshirts sold: x

T-shirts sold:  4x + 5

Earned by sweatshirts sold: 25x

Earned by T-shirts sold:  10(4x + 5)

Equation:

25x + 10(4x + 5) = 1350

25x + 40x + 50 = 1350

65x = 1350 - 50

65x = 1300

x = 20

T-shirts sold: 4 * 20 + 5 = 80 + 5 = 85

You sold 85 T-shirts and 20 sweatshirts

answer: since the question is talking about growth you have to use the growth formula which is inital amount (1 + growth)^time

step-by-step explanation:

the intial amount is 1200, the growth is 4.8, and the time is 7. plug those numbers into the equation, also i think you have to change 4.8 into a percent. but, i have forgotton how to do that. if this is a online class go on to the lesson.

∠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.