A customer at a clothing store is buying a pair of pants and a shirt. The store is having a 20%-off sale on all pants. The customer has a coupon for 15% off his entire purchase. The coupon cannot be combined with any other offers, so he can choose only one option. Let n represent the original price of the pants and s represent the price of the shirt. Write two equivalent expressions for each option. If the original cost of the pants is $25 and the shirt is $15, which option should the customer choose?

15% off his entire purchase is the better option

Step-by-step explanation:

essentially asking, which is cheaper?

20% off sale on all pants OR 15% off his entire purchase

n = original price of pants= $25

s = original price of shirt=$15

first option: 20% off sale on all pants

price of pants with 20% off + price of shirt

= 25(80%)+15

times 80% because you took off 20%; 100-20=80

= 25(0.8)+15

=20+15

= $35

second option: 15% off his entire purchase

(price of pants +price of shirt)*15% off

=(25+15)*(85%)

=(40)*(0.85)

= $34

35>34

second option is cheaper!

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,

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step-by-step explanation: