Out of the 32 students in Mr. Martin's class, 18 are boys. If this ratio is proportional to the ratio of students in the school and the number of boys in the school, which of the following proportions would best be used to find the number of students in the school? It is given that there are 468 boys in the school. A. B. C. D.

B. 18/32 = 468/x

This proportion can be used to find the number of students in the school by cross multiplying and solving for x:

18x = 32 * 468

18x = 14976

x = 832

Therefore, the number of students in the school is 832.

Multiple Choice Question

An online store is offering a special discount. An order totaling less than $50 will receive a 15% discount, and an order totaling $50 or more will receive a 25% discount.

Which statement correctly describes purchases made at the store during this promotion?

A.
A purchase of 2 shirts selling for $26 each will be charged as $44.20 after the promotion is applied.

B.
A purchase of 3 books selling for $15 each will be charged as $33.75 after the promotion is applied.

C.
A purchase of 2 pots selling for $20 each and 1 roasting pan selling for $35 will be charged as $56.25 after the promotion is applied.

D.
A purchase of 5 video games selling for $20 each will be charged as $85 after the promotion is applied.

B. A purchase of 3 books selling for $15 each will be charged as $33.75 after the promotion is applied.

Explanation:
For purchases totaling less than $50, a 15% discount is applied.
For purchases totaling $50 or more, a 25% discount is applied.

Let's check each option based on the total cost before the discount:
A. 2 shirts at $26 each = $52. This is more than $50, so a 25% discount would be applied. $52 - (25% of $52) = $39, not $44.20.
B. 3 books at $15 each = $45. This is more than $50, so a 25% discount would be applied. $45 - (25% of $45) = $33.75, which is the correct answer.
C. 2 pots at $20 each and 1 roasting pan at $35 = $55. This is more than $50, so a 25% discount would be applied. $55 - (25% of $55) = $41.25, not $56.25.
D. 5 video games at $20 each = $100. This is more than $50, so a 25% discount would be applied. $100 - (25% of $100) = $75, not $85.

Therefore, the correct answer is option B.

which is equivalent to 0,

(a) (-a)
A + (-a)
a/-a
a-(-a)

(a) - (-a)

This can be simplified as adding the additive inverse of -a, which is the same as adding a. Therefore, the expression is equivalent to a.